View original document

The full text on this page is automatically extracted from the file linked above and may contain errors and inconsistencies.

Authorized for public release by the FOMC Secretariat on 02/09/2018
November 30, 2012
Options for Continuation of Open-Ended Asset Purchases in 20131
Introduction and Summary
As background for the Committee’s policy discussion at the December meeting, this memo
provides estimates of the effects of additional asset purchases on the economic outlook as well as
on the Federal Reserve’s balance sheet and income. All options assume that the maturity
extension program is completed at the end of December and that $40 billion of agency mortgagebacked securities (MBS) are purchased in December, resulting in about $250 billion in purchases
of longer-term securities from October to December 2012. The open-ended program options
presented in this memo assume that additional purchases beyond 2012 cumulate to either $500
billion or $1 trillion, for total program sizes of $750 billion and $1.25 trillion, respectively.2 The
pace of Treasury securities purchases varies from $25 billion per month to $60 billion per month,
while the pace of MBS purchases remains at $40 billion per month under all purchase options
examined. We also present, for comparison, results for a scenario in which there are no
additional purchases of longer-term securities beyond 2012.
The model-based analysis presented below suggests that additional purchases would boost
aggregate real activity and inflation moderately, thereby fostering progress toward the FOMC’s
objectives. As might be expected, $1 trillion of additional purchases would have roughly twice
as large an effect on the macro economy as $500 billion of additional purchases. Of course,
these estimates—which are derived using a staff model of the term premium combined with the
FRB/US model— are subject to considerable uncertainty, reflecting both our limited experience
with this unconventional policy tool and the unusual economic conditions we now face, and
other models might yield noticeably different results.3 In addition, the modeling framework used
here assumes that investors know with certainty the total size and exact path of purchases under
each scenario. In practice, investors’ assumptions about the total size of the program would
likely evolve over time in response to changes in economic conditions and as financial market
participants acquire a better understanding of how the Committee will actually respond to
changing economic conditions—a learning process that would tend to reduce any differences in
economic effects across policies.
1

Prepared by staff of the Board of Governors (Andrew Figura, Jeff Huther, Jane Ihrig, John Kandrac, Don Kim,
Beth Klee, Dave Reifschneider, John Roberts, and Min Wei) and the Federal Reserve Bank of New York (Alyssa
Cambron, Michelle Ezer, Joshua Frost, Deborah Leonard, Julie Remache, and Nathaniel Wuerffel).
2
The past two Tealbooks have modeled purchase programs that commenced purchases in October 2012. In these
programs, there were an estimated $250 billion in purchases between October 2012 and end-December 2012, plus
purchases at least through mid-2013. Adding these two segments together, the Tealbook scenarios implied purchase
programs that ranged from about $750 billion ($250 + $500) to $1.25 trillion ($250 + $1,000). In all calculations,
the total purchase amounts exclude reinvestment purchases from maturing MBS, agency debt, and Treasury
securities.
3
Under our modeling framework, the pace of purchases does not play a critical role in the financial,
macroeconomic, balance sheet, or income projections given the relatively small differences in timing for programs
of similar total size. If there were more significant differences between the pace of purchases assumed in the
different projections, this factor could become relevant.

Page 1 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

Regardless of the macroeconomic effects of asset purchases, the additional asset purchases
would lead to a significant increase in the size of the Federal Reserve’s balance sheet and, using
an exit strategy based on the Committee’s June 2011 principles, a higher level of reserves at the
time of the first increase of the federal funds rate from the zero lower bound. As a result, Federal
Reserve income would be affected—boosted in the near term by higher interest income and
dampened in the medium term by higher interest expense and higher realized capital losses on a
larger amount of MBS sales. In sum, we estimate, based on assumptions about future interest
rates, that significant additional asset purchases would result in an appreciable decline in
cumulative remittances to the Treasury between 2012 and 2025: Cumulative remittances are
estimated to be $530 billion with $1 trillion in additional purchases and $590 billion with $500
billion in additional purchases, compared to about $630 billion if purchases were terminated in
December 2012. Additional purchases would also boost the likelihood of booking a deferred
asset during the exit period.4 The estimates below show a deferred asset that peaks at about $4
billion in the scenarios with $500 billion of additional purchases and $45 billion in the scenarios
with $1 trillion of additional purchases. If purchases were to stop in December of this year, no
deferred asset would be expected to be recorded.
As with our estimates of the macroeconomic effects, our estimates of the impact of additional
asset purchases on Federal Reserve income are subject to considerable uncertainty. One
important source of uncertainty that would affect the income estimates concerns the projected
paths of short- and long-term interest rates. We illustrate the potential consequences of the latter
possibility by adding shocks to the model projections that result in appreciably higher interest
rates. We also consider scenarios that capture the possibility that draining reserves could prove
more costly than anticipated or that MBS sales could lead to a temporary widening of the MBSTreasury basis. The more interest rates rise, the larger and longer-lasting the deferred asset is
likely to be, reflecting increased interest expense associated with reserve balances and greater
realized capital losses associated with MBS sales. Of course, if interest rates were to rise more
slowly than in our projections, the result would be a reduction in realized losses on asset sales
and interest expense, higher cumulative remittances through the projection period, and, in the $1
trillion additional purchases projections, most likely only a modest deferred asset. These income
effects would need to be considered against the broader backdrop of economic activity
associated with higher or lower interest rate paths.
The income results are also very sensitive to the decisions made regarding exit. The results
shown here assume that exit proceeds in a manner that generally follows the exit strategy
4

The Federal Reserve books a deferred asset when income is not sufficient to cover expenses, including dividends,
and maintain surplus at a level equal to capital paid in. The deferred asset is subsequently realized as a reduction of
future remittances to the Treasury (which are accounted for as interest on Federal Reserve notes expense). Thus, it
is an asset in the sense that it embodies a future economic benefit that will be realized as a reduction of future cash
outflows. If the realization of the asset is expected to occur over several years, some valuation technique, such as
net present value, would be applied to measure the value of the asset. This accounting treatment is consistent with
U.S. GAAP and is similar to the way that private companies report deferred loss carry forwards as an asset.

Page 2 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

principles laid out by the Committee in June 2011. As the portfolio continues to evolve, the
Committee may wish to reassess that strategy given the substantial changes in the size and
composition of the portfolio and the level of reserves since June 2011.5 In particular, if the
Committee revised its exit principles in a way that would extend the normalization period for the
size of the portfolio, postpone sales, lengthen the period over which sales are conducted,
contemplate sales of Treasury securities, or even forgo sales altogether, the path of the portfolio,
the level of reserves, and the stream of Federal Reserve remittances could change considerably.
For example, with $1 trillion in additional purchases, the maximum deferred asset would drop by
roughly $40 billion if no MBS sales occurred and the normalization of the size of the balance
sheet would be delayed by a little over a year.
While a deferred asset or very low remittances could raise communications issues or generate
political controversy, such outcomes would not adversely affect the Committee’s ability to
implement monetary policy consistent with its dual mandate. Moreover, the decline in
remittances that we report here are not substantive once placed in the context of the improved
economic performance and the resulting higher tax revenues that the purchases would be
expected to generate. Indeed, our analysis suggests that continuing asset purchases past this
December would act to shrink the federal budget deficit over time, on net, thereby reducing the
federal debt level (including the effects of Federal Reserve remittances) by between $220 billion
and $330 billion in 2025, depending on the volume of additional purchases, largely through the
greater tax revenue that results from the economic stimulus the programs create. In addition, the
price level is permanently boosted as a result of the additional asset purchases because of its
temporary effects on inflation, resulting in an increase in the long-run level of nominal GDP.
Taken together, the drop in debt and the rise in nominal GDP cause the debt-to-GDP ratio to fall
1½ to 2¾ percentage points in 2025 relative to a scenario where purchases terminate at the end
of 2012. Of course, these purely economic terms may not capture all concerns of the Committee.
For that reason, we provide information on the Federal Reserve’s balance sheet and income.
In the next section, we discuss some specific options for extending purchases into 2013 that the
Committee might want to consider, along with a scenario that does not include purchases past
year-end. For each of these options, we review the associated financial, economic, balance
sheet, and income projections. We then evaluate the income risk exposures to the portfolio by
considering alternative scenarios for interest rates, including an adverse scenario in which longterm Treasury yields run about 200 basis points above the October Tealbook interest rate path
around the time of the liftoff of the federal funds rate from its zero lower bound, and the impact
of the current exit principles on income. Last, we consider a few potential additional risks
associated with exit.

5

See the August 28, 2012 memo entitled “The effect of an additional $1 trillion LSAP on the exit strategy” for
further details on the impact additional asset purchases have on the exit strategy.

Page 3 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

Open-ended Purchase Options
The open-ended nature of purchases in the current FOMC statement makes quantifying the
economic, balance sheet, and income impacts of the programs more challenging than was the
case for previous stock-based purchase programs. If the Committee announces that a particular
pace and composition of purchases will be maintained until the outlook for the labor market is
substantially improved, then the effect of the program on interest rates and the economy will
depend crucially on market participants’ assessment of the economic outlook and the ultimate
size of the balance sheet. According to the October 15, 2012, Primary Dealer Survey, market
participants’ median expectations are most closely aligned with the $1.25 trillion open-ended
purchase program, with $1 trillion of those purchases in 2013, although individual beliefs about
the ultimate size of the balance sheet vary considerably.6 Of course, to the degree that these
expectations conflict with the FOMC’s actual intentions, market participants will presumably
adjust their expectations over time in response to FOMC communications as well as news about
the labor market outlook. Such learning, however, is not considered in the scenarios below;
rather, investors are assumed to be prescient about the cumulative amount of further purchases.7
Table 1 presents the key elements of the purchase options. Under each of the options, we
assume that the MEP is completed in December and that purchases of $40 billion in agency MBS
continue through the end of this year, resulting in $250 billion of purchases between October and
December 2012. The policy of reinvesting principal payments on agency debt and agency MBS
in agency MBS is unchanged, and maturing principal amounts from Treasury securities begin to
be reinvested again at auction after the first of the year.8
The options differ in their total size, composition, and pace of purchases that begin in January
2013. Options 1 and 2 include additional purchases of roughly $500 billion in 2013, cumulating
to a total purchase program of $750 billion, with some difference in composition and pace.
Purchases in option 1 are assumed to be executed at a pace of $85 billion per month through June
2013, with $45 billion in Treasury securities and $40 billion in MBS, while purchases in option 2
are executed at $65 billion per month through August 2013, with $25 billion in Treasury
securities and $40 billion in MBS. Options 3 and 4 assume additional purchases of about $1
trillion starting in 2013, cumulating to a $1.25 trillion purchase program overall, with the pace
and composition of purchases the same as in options 1 and 2 but with later completion dates of
December 2013 and April 2014, respectively. Option 5 considers another variation on
conducting $1 trillion in additional purchases, conducted at a faster pace of $100 billion per
month through October 2013, with $60 billion in Treasury securities and $40 billion in MBS,
6

The median response to the October 15, 2012, Primary Dealer Survey suggests a median expectation for a total of
$1.1 trillion in additional purchases, with a range between $250 billion and $2.5 trillion.
7
An open-ended program where market participants’ beliefs about the ultimate size of the program evolved over
time was considered in the August 2012 FOMC memos by Laforte et. al. and Bowbeer et. al.
8
The effect of this latter assumption is very modest, as after the completion of the MEP, there will be less than $6
billion of Treasury securities in the SOMA portfolio that mature before January 2016.

Page 4 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

likely close to the upper bound on feasible monthly purchases.9 Finally, option 6 assumes no
additional purchases after year-end.10
Under all options, Treasury securities purchased are assumed to have a weighted-average
duration of approximately nine years, and MBS purchases are assumed to be concentrated in
newly issued securities.11 With regard to exit, redemptions of all assets begin six months prior to
the initial increase in the federal funds rate, which is assumed to occur in August 2015,
consistent with the October Tealbook staff forecast. Sales of MBS begin six months after liftoff
and MBS holdings are eliminated over a five-year period.12
Financial and Economic Impact
Several steps are involved in the staff’s estimation of the financial and economic impact of the
Federal Reserve asset programs.13 To begin, we estimate the direct effects of the various
purchase options on long-term interest rates using the staff’s term premium model.14 According
to this model, the $750 billion programs should initially reduce the term premium on the ten-year
Treasury yield about 20 basis points relative to the scenario with no additional purchases in
2013, while the $1.25 trillion programs have term premium effects of roughly 40 basis points.
(See table 1.) Next, we assume that projected outcomes for real activity, inflation, and interest
9

Consistent with the capacity analysis in the December FOMC memo “MBS Market Functioning and Capacity
Under the Open-Ended Purchase Program,” the overall size and monthly pace of option 5 is not expected to result in
a material disruption of functioning in the markets for either Treasury securities or MBS. After completing this $1
trillion open-ended purchase program, SOMA’s share of the MBS market is anticipated to grow from about 20 to
about 30 percent. Furthermore, when including both open-ended purchases and reinvestments of principal payments
on agency securities, MBS purchases as a share of “to-be-announced” (TBA)-eligible gross issuance total roughly
85 percent, a proportion that appears feasible. SOMA’s share of the Treasury market with maturities greater than 4
years is expected to remain near 40 percent.
10
The purchase programs for options 1, 3, and 6 are identical to Alternatives B, A, and C in the October Tealbook
Book B. The first increase in the federal funds rate is assumed to be August 2015, the same as that assumed in
Alternatives B and A in the October Tealbook, but one year later than that assumed for Alternative C.
11
An open-ended purchase program that proceeded for longer than the period assumed in these options may require
a change in the pace, asset allocation, or duration distribution of purchases as the program continued.
12
In the June 2011 Minutes, the Committee stated that “Once sales begin, the pace of sales is expected to be aimed
at eliminating the SOMA's holdings of agency securities over a period of three to five years…. Sales at this pace
would be expected to normalize the size of the SOMA securities portfolio over a period of two to three years.”
While our analysis is conducted with this timing of sales in mind, the SOMA portfolio was much smaller and of
different maturity composition at the time that these exit strategy principles were written, suggesting that the two- to
three-year period for the normalization of the size of the balance sheet may not be feasible if purchases continue for
a long enough period. In particular, assuming five years of sales, the balance sheet size is normalized within three
years if $500 billion of securities are purchased in 2013, but not if $1 trillion are purchased.
13
See the memo to the Committee, “Options for an Additional LSAP Program,” August 28, 2012, for a discussion
of the underlying assumptions in the simulations.
14
The estimated term premium effects are based on “Term Structure Modeling with Supply Factors and the Federal
Reserve’s Large Scale Asset Purchase Programs” by Canlin Li and Min Wei, Finance and Economics Discussion
Series paper 2012-37, Federal Reserve Board, July 2012. The effect of LSAPs implied by this model are fairly
representative of those found in other studies: For example, D'Amico, English, Lopez-Salido, and Nelson (2011)
report effects from LSAP2 on Treasury yields that are somewhat larger than implied by the model of Li and Wei
(2012), while Swanson (2011) finds effects that are somewhat smaller.

Page 5 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

rates under option 1—the program with additional purchases of $85 billion per month,
cumulating to $500 billion in 2013 and $750 billion overall—are identical to conditions in the
staff forecast reported in the October Tealbook, which was judged at the time to be consistent
with an asset purchase program of this size. Finally, we estimate the implications of pursuing
alternative purchase options by using the FRB/US model to simulate the effects of term premium
shifts equal to the difference between each option’s estimated term premium effect and the one
consistent with option 1—that is, the term premiums embedded in the October Tealbook baseline
forecast. Key design features of these simulations include the following: 15
Consistent with the standard specification of FRB/US, declines in the ten-year Treasury yield
pass through directly to both the primary mortgage rate and corporate bond yields on roughly
a one-for-one basis. In addition, lower Treasury yields reduce the discount factor in pricing
equities, thereby boosting stock prices, while the foreign exchange value of the dollar falls in
response to a widening in the spread between domestic and foreign long-term interest rates.
 For programs that include purchases of MBS, every additional $100 billion of MBS
purchased is assumed to narrow the spread between the MBS current coupon yield and the
10-year Treasury rate about 2½ basis points. The primary mortgage rate is assumed to
decline about two-thirds of this additional effect, but with a one-quarter lag.
 The federal funds rate follows the October Tealbook baseline path through 2016 but
thereafter follows the prescriptions of the outcome-based rule. This assumption appreciably
reduces the degree to which an expansionary portfolio action is offset by more restrictive
conventional monetary policy.
 Agents have model-consistent expectations, implying (among other things) that long-term
interest rates and other asset prices reflect both the future path of the funds rate in the
scenario and the term premium effect implied by the assumed purchase program.
The simulated effects of the various purchase options on the macroeconomic outlook are
presented in figures 1a and 2a and summarized in table 1.16 For the $750 billion open-ended
purchase program, the unemployment rate in late 2015—roughly the time of the peak
macroeconomic effects of additional asset purchases—would be 30 basis points below what
would occur if purchases were suspended at the end of this year, while core PCE inflation would
be boosted about 20 basis points. For the $1.25 trillion open-ended purchases, the simulated
effects on real activity and inflation are about doubled, with very modest differences across the
three purchase options considered.17 In particular, the FRB/US model predicts that the
unemployment rate would decline 50 to 60 basis points by late 2015 across the three alternatives,


15

These key assumptions are described in more detail in “Options for An Additional LSAP Program,” memo to the
FOMC, August 28, 2012.
16
As noted earlier, the economic effects of similarly paced programs could be different as the market learns over
time what the total size of the purchase program will be.
17
Although purchasing MBS reduces mortgage rates by a bit more than purchases of Treasury securities, the
resulting economic effect is small because residential investment is currently a small portion of GDP.

Page 6 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

and inflation would increase about 30 basis points, relative to projected outcomes if asset
purchases ended this year.
As we noted in the introduction, the simulated financial and economic effects outlined above are
highly uncertain. As the staff has emphasized for some time, predicting the likely effects of
additional asset purchases is very difficult because the economic theory underlying asset
purchases is only partially developed. In addition, this unconventional policy tool has been in
use for only a few years, leaving us with relatively little data with which to evaluate its effects.
Furthermore, the current economic environment is quite unusual in important respects, which
reduces the reliability of estimates derived from models (such as FRB/US) whose dynamics are
largely rooted in average historical behavior. Finally, given inherent uncertainty about the “true”
model of the economy, alternatives to the staff’s term structure model and the FRB/US model
might yield substantially different predictions for the effects of asset purchases.
Ideally, we would supplement our standard FRB/US-based analysis of the macroeconomic
effects of asset purchases with results from other models; unfortunately, analysis of asset
purchase programs using DSGE models and other approaches is at a preliminary stage.18
Alternatively, we could in principle attempt to predict the likely effects of additional asset
purchases using the rules of thumb and other procedures regularly employed by the staff to
generate the judgmental Tealbook forecast. As a practical matter, these forecasting procedures
are too cumbersome and time-consuming to be used for the plethora of analyses reported in this
memo. That said, we are using these procedures to adjust the December Tealbook forecast for
the effects of disappointment on the part of financial participants regarding the ultimate size of
the asset purchase program.19 Based on our preliminary analysis, this scoring exercise is likely
to yield somewhat smaller effects of asset purchases on financial conditions and the broader
economy than those implied by the simulation results reported in this memo; in particular, the
predicted response of real activity is about two-thirds the FRB/US estimate, while the inflation
effect is about one-third the model estimate.20 Whether these alternative estimates are on
18

One example of such preliminary work using a DSGE model is provided by Michael Kiley, “The Aggregate
Demand Effects of Short- and Long-Term Interest Rates,” Finance and Economics Discussion Series paper 2012-54,
November 2012. Using this model, Kiley finds smaller LSAP effects than the FRB/US model.
19
Specifically, the December projection will assume that market participants are surprised next year when the
FOMC caps the program at $750 billion rather than the roughly $1.25 trillion now anticipated by investors. This
surprise is assumed to cause bond yields to rise modestly in 2013 relative to what they otherwise would be, leading
to somewhat less favorable financial conditions and somewhat weaker real activity. Note that carrying out the
scenario analysis discussed in this memo using the (as yet unavailable) December Tealbook baseline would not alter
the relative ranking of the macroeconomic, balance sheet, and income projections for the various purchase programs
discussed below.
20
Learning effects are another reason why the December Tealbook estimates of “disappointment” effects are likely
to be less than would be implied by the differences between the effects of a $750 billion program and those of $1.25
trillion program reported in this memo. The latter simulations assume that the public always knows which policy is
in effect, and so the response of asset prices from switching from one policy to another occurs instantly at the start
of the simulations. In the December Tealbook, in contrast, the effects of disappointment on asset prices emerges
only gradually over the course of 2013, reducing the adverse effects of the policy surprise on real activity.

Page 7 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

balance more accurate than the FRB/US ones is an open question, however. We are currently
reviewing both FRB/US’s structure and our judgmental procedures, and plan to modify them as
appropriate before the January FOMC meeting so as to make the two approaches more
consistent.
Impact on the Federal Reserve’s Balance Sheet and Income
For each open-ended purchase program option, we project the path of the Federal Reserve’s
balance sheet and its income and remittances to the Treasury. As shown in the top left panels of
figures 1b and 2b, variations of $750 billion or $1.25 trillion programs leave the level of the
SOMA portfolio commensurately higher through the medium term than would be the case if no
additional purchases are undertaken. The levels of Treasury securities and MBS holdings vary
based on the option selected; however, the total size of the program has a significantly more
pronounced effect on balance sheet and income outcomes than do the differences in the
composition and pace of purchases among programs of the same cumulative size. The level of
reserves follows a path similar to that of the total level of the portfolio in each of the options
considered. In the $750 billion options, reserves are approximately $2.0 trillion at the time of the
federal funds liftoff, while in the $1.25 trillion options, reserves are $2.5 trillion. In contrast,
with no additional purchases beyond December, reserve balances are $1.5 trillion at the time of
the first increase in the federal funds rate.
The exit strategy employed results in the portfolio shrinking back to a normal size over a number
of years. As noted in table 1, following $750 billion in open-ended purchases, the portfolio
shrinks to a normal size in February 2019, at the end of the three-year window for the
normalization of the size of the securities portfolio that was included in the June 2011 exit
strategy principles. Increasing the size of the program to $1.25 trillion pushes back
normalization in the size of the balance sheet to August 2019, about four months after the end of
the three-year window. With no additional purchases after year-end, the size of the portfolio is
normalized in August 2018, two-and-a-half years after the initiation of asset sales. If the FOMC
wanted to normalize the size of the portfolio faster than in these projections, the pace of MBS
sales would have to be somewhat more rapid. As modeled, sales of MBS are conducted at a
monthly pace of about $15 billion or $17 billion in the $750 billion and $1.25 trillion scenarios,
respectively. These paces of sales are about twice the sales pace assumed when the June 2011
exit strategy principles were established.21 While staff currently believes such sales could be
sustained without significant adverse effects on market functioning, this outcome is dependent
on the state of the MBS market at that time, which is uncertain.

21

The monthly MBS sales pace assumed in these scenarios is also about double the sales pace employed by the U.S.
Treasury when it sold off its portfolio of MBS from April 2011 to March 2012. These sales did not appear to have
an adverse effect on market functioning.

Page 8 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

The large size of the SOMA portfolio generates a rise in interest income that outweighs the
increase in interest expense in the near term, as shown in figures 1c and 2c. 22 As interest rates
rise and reserve balances remain sizable, however, interest expense becomes quite large and
reduces net interest income. Later in the projection period, net interest income increases for all
options as reserves are reduced through sales and redemptions of securities and, once the
portfolio begins to grow, through purchases of Treasury securities carrying higher yields. As a
result, cumulative net interest income between 2012 and 2025 nears $1 trillion for both the $750
billion and $1.25 trillion purchase options. Realized capital losses from MBS sales reduce
income during the same period that net interest income is projected to be low, with the size of the
loss larger for the programs that include more MBS purchases. Cumulative realized capital
losses associated with the $750 billion programs are projected to be about $65 billion, compared
to roughly $90 billion for the $1.25 trillion programs and $40 billion with no additional MBS
purchases.
Remittances to the Treasury reflect the contours of net interest income and realized capital
losses, as well as our assumptions about how currency and Federal Reserve capital grow through
the projection period.23 Putting the pieces together, cumulative remittances from 2012 to 2025,
as reported in table 1, are projected to be about $590 billion under a $750 billion purchase
program, somewhat lower than estimated cumulative remittances of $630 billion with no
purchases. A small deferred asset is projected for the $750 billion programs, and it remains on
the books for about 2 years. For the three $1.25 trillion purchase programs, cumulative
remittances from 2012 to 2025 are projected to total about $530 billion. Under these larger
programs, annual remittances fall to zero for around 5 years, creating a deferred asset that peaks
at about $45 billion. Even in these scenarios, however, cumulative remittances over the 2012 to
2025 period average about $40 billion per year—well above the average level of remittances
prior to the crisis of $20 to $25 billion.
The projections of the paths of the portfolio, reserves, and Federal Reserve income are sensitive
to the exit strategy assumptions. Should the Committee decide to alter its asset sales strategy, the
forecasts could change noticeably. For example, as shown in table 2, if the Federal Reserve
followed a no-sales exit strategy following $1.25 trillion of purchases, we estimate that
remittances would still be at zero for a few years, but the deferred asset would be reduced
22

Interest expense on reserve balances is calculated based on the projected level of the federal funds rate. We
assume that the IOER rate and the rates paid on reserve management tools—reverse repurchase agreements and term
deposits—are equal to the federal funds rate. In practice, these rates, particularly the rates on reserve draining tools,
may exceed the federal funds rate. As a result, interest expense could be somewhat higher than calculated, reducing
remittances by the same amount. A stress test of this effect is presented later in this memo.
23
We assume currency grows in line with nominal GDP. Federal Reserve capital has two components: capital paid
in and surplus. We assume capital paid in grows at 15 percent per year, its annual average over the past decade, and
surplus is equated to capital paid in. Under current policy, once the surplus capital from retained profits equals paidin capital, the remaining surplus is remitted to Treasury. Although 15 percent is the decade average growth rate of
capital paid in, the past few years have recorded growth near zero.

Page 9 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

considerably. Cumulative remittances between 2012 and 2025 would be $50 billion higher than
the same program with eventual MBS sales, reflecting the fact that the lack of capital losses on
sales and higher coupon income from the larger MBS holdings more than offset the increase in
interest expense associated with the larger portfolio. Under the no-sales option, the size of the
Federal Reserve’s balance sheet is normalized through the passive redemption of maturing
securities; normalization of the size of the balance sheet under this option occurs by mid-to-late
2020, about a year later than under the current exit principles. A longer period of more gradual
MBS sales would have a similar effect, while other assumptions, such as that regarding a longrun level of reserves, could also have meaningful effects should the Committee wish to
reconsider its assumptions.
Although cumulative remittances are smaller with a purchase program than without, the purchase
programs boost real activity and prices. These actions together generate higher nominal tax
revenues that are only partially offset by reduced remittances and higher (inflation-induced)
nominal outlays. Thus, the programs, on net, result in a substantial reduction in Treasury debt
over time despite the decline in portfolio income. Depending on the purchase program, as shown
in the fourth panel of table 1, the nominal stock of federal debt would be reduced by estimated
amounts that range from $220 billion and $330 billion by 2025 relative to outcomes if purchases
were suspended at the end of this year, thereby shaving between 1½ and 2¾ percentage points
off the federal government debt-to-GDP ratio. Moreover, the societal benefit of the programs are
estimated to be greater than the budgetary gains, since the programs are predicted to yield a
cumulative increase in real GDP between $615 billion and $1.1 trillion, and inflation is moved
closer to the Committee’s 2 percent longer-run goal through the projection period.
It is worth noting that projections for a deferred asset in the scenarios above are significantly
affected by our assumptions about the growth of capital paid in. As noted above, we assume that
capital paid in grows 15 percent per year over the projection period. Under the Board’s policy
regarding Reserve Bank surplus, Reserve Banks are directed to transfer a portion of net income
to surplus so as to equate capital and surplus; any residual of net income over transfers to surplus
and payment of dividends is then remitted to the U.S. Treasury. Under this framework, faster
assumed growth of capital paid in leads to higher transfers to surplus and lower remittances to
the U.S. Treasury and may lead to higher levels of the deferred asset. In our projections, Federal
Reserve capital is generally quite large—much larger than the peak value of the deferred asset.24
Alternatively, if we had projected slower growth of capital paid in, the value of the Federal
Reserve’s capital stock would be smaller but the magnitude of the projected deferred asset would
be smaller as well. Indeed, in some scenarios, slower projected growth of capital would sharply
reduce the value of the deferred asset or eliminate it entirely. This treatment of capital as an
independent driver of surpluses is representative of past policy but may not be a good indication
of policy in an environment where deferred assets are accruing. A reduction in surplus capital
24

The capital stock is projected to be $110 billion in 2016, $140 billion in 2018, and $190 billion in 2020.

Page 10 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

would reduce, by an equal amount, a deferred asset. Such a reduction, while not in keeping with
past policy, would not appear to have any effects on monetary policy. That is, a deferred asset
could be reduced or eliminated simply by setting aside less surplus capital. Of course, the
projected deferred asset is also highly dependent on particular assumptions made about the exit
strategy, and, more importantly, the realization of a deferred asset is very unlikely to directly
affect the Federal Reserve’s ability to conduct monetary policy.
Interest Rate Risk Analysis
Additional asset purchases will, in general, lead the Federal Reserve to face more income risk,
given the portfolio’s larger size and its higher overall level of interest rate risk. As illustrated in
figure 3a, which gives a number of projections for the 10-year Treasury yield, there are a variety
of outlooks for the path of interest rates going forward. For example, the roughly 50 individual
forecasters who make up the Blue Chip panel have a consensus projection that is broadly in line
with the October Tealbook path, but have a dispersion of views. In fact, the average 10-year
Treasury yield of the bottom 10 respondents is about 100 basis points less than the staff forecast
during the years when MBS are assumed to be sold.25,26 Although the Committee may want to
focus on scenarios where interest rate projections lie above the October Tealbook path because
this is suggestive of potential downside risk to Federal Reserve income, there is upside risk to the
income projection as well.27 If the path of interest rates followed the trajectory suggested by the
bottom 10 respondents’ average rate, $1.25 trillion in total purchases like the scenario considered
in option 3 would lead to modestly higher cumulative remittances and could have a very small
deferred asset, though there would be a few years with near-zero remittances.
Turning to the downside risks to income of a higher interest rate environment, we consider the
implications of two alternative assumptions for the future path of interest rates. In the first case,
we evaluate the consequences for both a $750 billion purchase program and a $1.25 trillion
program of a scenario in which market interest rates are 100 basis points higher after liftoff of
the federal funds rate than was assumed in the previous simulations; in this scenario, for
convenience, we hold other aspects of the scenario at their values in options 1 and 3,
respectively. We view this outcome for interest rates as having a reasonable chance of
occurring. In particular, one way to estimate a rough probability of such an event is to look at
the risk-neutral probability of the 10-year swap rate, three years forward, ending up at a level of
5 percent or higher, about the same level as assumed in this shock scenario. As of November 27,
2012, this probability was approximately 6 percent. In the second case, we explore a scenario in
25

Model-based measures, such as those from Diebold-Li (2006), are slightly lower than the Blue Chip bottom-10
average projection.
26
At the short end of the curve, the Blue Chip forecast anticipates a steeper rise in the federal funds rate over the
next five years than the staff, implying that the Blue Chip rates would project higher interest expense on reserves; in
the long run, when reserve balances reach a nominal level and interest expense is low, the staff forecast and the Blue
Chip projections are similar.
27
Figure 3b illustrates the interest rate shock scenarios analyzed below.

Page 11 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

which the Committee implements a $1.25 trillion program, and immediately after its completion
the pace of recovery picks up substantially, inflation rises markedly, and term premiums
increase, causing the 10-year Treasury yield to climb to 6 percent by the end of 2015 and to
remain at or above that level through the end of the decade—a somewhat persistent shift of about
200 basis points relative to the interest rate path without the shock. The probability of this
occurring, based on the risk-neutral probability of the 10-year swap rate, three years forward was
3 percent as of November 27, 2012. Aside from investigating the implications of this adverse
bond-rate scenario for portfolio income and capital losses, we also use it to consider risks arising
from higher costs to the use of draining tools and larger losses from asset sales because of a
widening in the MBS-Treasury basis.
In the first scenario, following liftoff, the federal funds rate and 10-year Treasury yield are about
100 basis points above the initial interest rate paths and this higher level of interest rates persists
for the remainder of the projection period. Leaving unchanged the exit strategy assumptions, for
both the $750 billion and $1.25 trillion options, as shown in figures 4a and 4b and the bottom of
table 1, the assumed interest rate shock results in the creation of a substantial deferred asset.
This reflects greater realized losses on MBS sales and greater interest expense. In the smaller
asset purchase program, the deferred asset persists for 5 years and reaches a maximum size of
$40 billion; on the other hand, cumulative remittances rise slightly relative to a scenario with no
interest rate shock as a result of higher seigniorage revenues at the end of the projection period.
In the larger asset purchase program, the deferred asset lasts 6½ years and reaches a maximum
size of about $125 billion, and overall cumulative remittances decline by about $30 billion
relative to a scenario without an interest rate shock. In these projections, the Federal Reserve’s
capital stock remains larger than the deferred asset throughout the exit period.28
Potentially, interest rates could surprise to the upside by more than in the 100 basis points shock
case, particularly if the pace of the economic recovery were to pick up unexpectedly and
inflation pressures were to intensify markedly, leading to both an unmooring of inflation
expectations and an increase in the inflation risk premium demanded by investors. In the
scenario shown in figure 5a, all these factors begin to emerge in early 2014, immediately after
the Committee is assumed to have completed a $1.25 trillion asset purchase program. 29 In
28

Cumulative remittances through 2025 under the $750 billion option are actually a bit larger than without the
interest rate shock because the Treasury securities purchased once the portfolio is normalized are at much higher
yields, which boosts cumulative net interest income in the later years of the projection. Cumulative remittances
under the $1.25 trillion option, alternatively, are reduced by $30 billion reflecting both larger interest expense and
larger losses associated with MBS sales. If purchases cease at year-end 2012 and there is a 100 basis point interest
rate shock, cumulative remittances to Treasury between 2012 and 2025 are about unchanged, at $700 billion;
however, the path of remittances changes (it is lower in earlier years and higher in later years).
29
To implement this scenario, the FRB/US model is hit with a set of large, persistent positive shocks to the various
components of household and business spending starting in early 2014. The simulation also features large persistent
shocks to wages and prices and an “unmooring” of long-run inflation expectations, in the sense that the public’s
estimate of the FOMC’s implicit inflation target is assumed to respond to movements in actual inflation in a manner
similar to that seen prior to the early 1990s. Finally, the simulation incorporates shocks to the term premium

Page 12 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

response to stronger real activity and rising inflation, the Committee begins to tighten policy
during the second half of 2014 and pushes the federal funds rate to 6 percent by 2018; this tight
stance of policy eventually proves sufficient to restore price stability but only after several years.
Under these conditions, the yield on the 10-year Treasury security reaches 6 percent in late 2015
and averages about 6½ percent through the rest of the decade, roughly 200 basis points above the
no shock interest rate paths, and up by a cumulative 475 bps from the end of 2012.
As shown in figure 5c and reported in table 2, in this adverse bond-rate scenario, remittances are
halted for nearly eight years, and cumulative remittances over 2013 to 2025 total $440 billion.
This results in a very large deferred asset, which peaks near $180 billion—somewhat above the
projected capital stock of the Federal Reserve. We should note, however, that stochastic
simulations of the FRB/US model suggest that the likelihood of a scenario this extreme is quite
low because it involves such a large and persistent upward shift in long-term interest rates; as
noted above, market quotes are also consistent with a low probability of this event. In fact, the
estimated probability of such an outcome based on FRB/US is negligible unless long-run
inflation expectations become unanchored and begin responding to movements in actual inflation
as experienced prior to the mid-1990s (although this assessment may not adequately make
provision for all the disturbances that could potentially hit the economy).30 And while this
scenario involves a marked rise in nominal federal debt relative to the no-shock scenario, that
increase is more than accounted for by persistently higher inflation and the steadily rising level
of prices, which is not directly attributable to the additional asset purchases. In fact, the federal
debt to GDP ratio in this scenario is still a full percentage point lower in 2025 than in the noshock scenario despite the large reduction in cumulative remittances to the Treasury, because
stronger real activity causes the increase in nominal tax revenues to outpace the growth in
nominal outlays.
As noted earlier, the projections for income, remittances, and the deferred asset depend
importantly on a variety of exit strategy assumptions, including the assumption that MBS are
sold over five years. For example, if MBS were not sold, and instead held until principal
repayments were received, the deferred asset would be much lower. As shown in figure 5c,
capital losses would not be recognized because there would be no sales; however, net interest
expense would be a bit larger and elevated over a longer period of time with the MBS remaining
in the portfolio and reserve balances consequently significantly larger. The size and timing of
the interest expense is an important determinant of the size and time path of the deferred asset.
By not selling MBS, the peak value of the deferred asset is reduced to $50 billion in this
embedded in long-term interest rates to compensate for increased inflation uncertainty. These shocks are roughly
calibrated to generate the type of macroeconomic conditions most likely to accompany a sustained 200 basis point
rise in long-term interest rates, based on stochastic simulations of the FRB/US model.
30
For example, the stochastic simulations do not take into account such possibilities as the loss of safe-haven status
for Treasury securities or a shift in the long-run stance of fiscal policy, and so likely understate the probability of
this event to some degree.

Page 13 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

simulation, $130 billion lower than the same scenario with no sales. Additionally, the size of the
portfolio is normalized only a little over a year later than in the projection with MBS sales
because a large volume of the Treasury securities held in the SOMA will be maturing at that
time. As a result, alternative exit strategies could have a significant impact on the path of
remittances. Alternative approaches to asset sales, such as the pace at which MBS are sold or
sales of Treasury securities in addition to or in place of sales of MBS, offer additional flexibility
that could potentially alter the path of Federal Reserve income.
There may be other factors that interact with the handling of exit in a way that has important
effects on our income projections. In order to illustrate these factors, we provide some partial
equilibrium analysis of the effect that additional costs associated with draining reserves and
selling MBS might have on remittances and the deferred asset.
First, it may be the case that there are increased interest costs during exit, perhaps due to capacity
constraints in the reverse repurchase market, a lack of demand for term deposits, or a higher
spread between the interest rate paid on reserve balances and the target federal funds rate. Our
standard analysis assumes that the rate paid on interest-bearing Federal Reserve liabilities—
reserves, term deposits, and reverse RPs (RRPs) — is equal to the federal funds target rate. To
illustrate the effect of these added costs, we assume that the Federal Reserve is faced with paying
50 basis points over the projected federal funds target rate on reserve draining liabilities—RRPs
and term deposits—once exit begins.31,32 As the size of the balance sheet is normalized, the 50
basis point shock is assumed to decay until interest costs are again equal to the federal funds rate.
As reported in the top left panel of table 3, the result of this wedge is a decrease in cumulative
net interest income of about $30 billion relative to the adverse bond-rate scenario. The result is a
peak value of the deferred asset that is nearly $20 billion larger, standing near $200 billion by the
end of 2019.
Second, and separate from the costs of draining reserve balances, the announcement of MBS
sales may trigger increases in MBS yields relative to comparable Treasury rates. To model such
a shock, we assume that the spread between MBS yields and Treasury yields widens by 50 basis
points.33 This type of shock leads to higher realized capital losses during the period over which
sales are conducted.34 As shown in the bottom panel of table 3, capital losses average about $4
billion more per year than in the adverse bond-rate scenario. Cumulatively, this higher loss from
31

The level of this shock is calibrated to one standard deviation of the historical spread between the federal funds
rate and selected one- and three- month money market rates.
32
Note that this higher cost is applied to the total quantity of reserve balances outstanding at any point in time.
Presumably, not all reserve balances would need to be drained in order to keep the funds rate near the rate paid on
excess reserves. As a result, these calculations likely represent an upper bound for the added expense of draining
reserves.
33
The level of this shock is roughly equivalent to about a two standard deviation move in the spread. Alternatively,
this shock is between one-third and one-half of the change in spreads observed at the peak of the financial crisis and
much larger than any other move since 1998.
34
In addition, the higher MBS rates will lead to slower prepayment speeds. Fewer prepayments compound the
capital losses since they imply more cumulative sales.

Page 14 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

MBS sales causes the deferred asset to reach a peak of about $200 billion. Of course, if severe
disruptions emerged in the MBS market as a result of the Federal Reserve’s sales, the Committee
could choose to scale back or stop its sales of MBS.
Conclusion
This memo provides estimates of the effects of additional open-ended asset purchases on the
economic outlook as well as on the Federal Reserve’s balance sheet and income. Based on staff
models, the additional purchases would boost aggregate real activity and inflation moderately.
The programs would also significantly increase the size of the Federal Reserve’s balance sheet,
which affects income. With the staff’s standard exit strategy assumptions and interest rate paths,
the programs are projected to reduce cumulative remittances somewhat and to result in a deferred
asset.
From an economic standpoint, the implications of reduced remittances and deferred assets should
be viewed within the context of the consolidated position of the government. The net effect of
the stronger growth and lower remittances on the overall fiscal position of the government is
generally positive in our projections—the larger programs lead to lower debt and debt-GDP
ratios in the out years. Of course, the Committee may see political costs or risks associated with
different paths for remittances and deferred assets. As we noted, that the paths of remittances
and the size of any deferred assets are strongly affected by the employed exit strategy.
Finally, the assumptions underlying our estimates of Federal Reserve income are subject to
considerable uncertainty, especially with regard to the projected paths of interest rates and the
choice of policy actions during exit. We note that our estimates are also affected by assumptions
about the growth of capital paid in, which ultimately reflects relationships on how low net
income is allocated over time. We focus on the downside risks to Federal Reserve income
associated with a higher interest rate environment by adding interest rate shocks to the model
projections, including shocks that address the possibility that draining reserves could prove more
costly than anticipated or that MBS sales could lead to a widening of the MBS-Treasury basis.
The more interest rates are projected to rise, the larger and longer-lasting the deferred asset is
likely to be. However, we also note that if the Committee chose to change the exit strategy to
one in which MBS are sold over a period longer than five years or in which no sales are
conducted, the projected peak value of the deferred asset would be smaller and, in some
scenarios, reduced to zero.

Page 15 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

Figure 1(a)
$750 Billion Programs: Macroeconomic Effects
Options 1 and 2: $500B Additional Purchases
Option 6: No Purchases

Federal Funds Rate

10-Year Treasury Yield

Percent

Percent

6

6

5

5

4

4

3

3

2

2

1

1

0
12

13

14

15

16

17

18

19

20

21

22

23

30-year Mortgage Rate

24

25

0
12

13

14

15

16

17

18

19

20

21

22

23

Real GDP Growth (4-qtr)

Percent

24

25

Percent

8

5

7

4

6
3
5
2
4
1

3
2
12

13

14

15

16

17

18

19

20

21

22

23

Unemployment Rate

24

25

0
12

13

14

15

16

17

18

19

20

21

22

23

Core PCE Inflation (4-qtr)

Percent

24

25

Percent

10

3.2

9

2.8

8

2.4

7

2.0

6

1.6

5

1.2

4
12

13

14

15

16

17

18

19

20

21

22

23

24

25

0.8
12

Page 16 of 30

13

14

15

16

17

18

19

20

21

22

23

24

25

Authorized for public release by the FOMC Secretariat on 02/09/2018
Figure 1(b)
$750 Billion Programs: Select Balance Sheet Items
SOMA Holdings

Billions of dollars

Monthly

Reserve Balances
5000

Billions of dollars

Monthly

Option 1: $45B Treasury / $40B MBS
Option 2: $25B Treasury / $40B MBS
Option 6: No Purchases

4500

4000

3500

4000
3000
3500
2500

3000

2000

2500
2000

1500

1500
1000
1000
500

500

0

0
2008

2012

2016

SOMA Treasury Holdings

2020

2024

Billions of dollars

Monthly

2008

2012

2016

SOMA Agency MBS Holdings
4000

2020

2024

Billions of dollars

Monthly

2000
1800

3500

1600
3000

1400

2500

1200
1000

2000

800
1500
600
1000

400
200

500

0

0
2008

2012

2016

2020

2024

2008

Page 17 of 30

2012

2016

2020

2024

Authorized for public release by the FOMC Secretariat on 02/09/2018
Figure 1(c)
$750 Billion Programs: Income Projections
SOMA Interest Income

Billions of dollars

Annual

Interest Expense
140
120

Annual

100

2010

2013

2016

2019

Realized Capital Losses

2022

Annual

2010

2016

2019

Deferred Asset

2022

End of year

100

60

60

40

40

20

20

0

0

2010

2013

2016

2019

Remittances to Treasury
140

2022

2025

Billions of dollars

Annual

120
100

80

80

60

60

40

40

20

20

0

0

2010

2013

2016

2019

Unrealized Gains/Losses
140
120

2022

2025

Billions of dollars

End of year

100
80
60
40
20
0

2010

2013

2016

2019

2022

2025

140

100

2025

Billions of dollars

120

80

120

2013

Option 1: $45B Treasury / $40B MBS
Option 2: $25B Treasury / $40B MBS
Option 6: No Purchases

140

80

2025

Billions of dollars

Billions of dollars

2010

Page 18 of 30

2013

2016

2019

2022

2025

350
300
250
200
150
100
50
0
-50
-100
-150
-200
-250
-300
-350

Authorized for public release by the FOMC Secretariat on 02/09/2018

Figure 2(a)
$1.25 Trillion Programs: Macroeconomic Effects
Options 3 and 5: $1T Additional Purchases, Faster Pace/Greater Treasury Share
Option 4: $1T Additional Purchases, Slower Pace/Greater MBS Share
Option 6: No Purchases

Federal Funds Rate

10-Year Treasury Yield

Percent

Percent

6

6

5

5

4

4

3

3

2

2

1

1

0
12

13

14

15

16

17

18

19

20

21

22

23

30-year Mortgage Rate

24

25

0
12

13

14

15

16

17

18

19

20

21

22

23

Real GDP Growth (4-qtr)

Percent

24

25

Percent

8

5

7

4

6
3
5
2
4
1

3
2
12

13

14

15

16

17

18

19

20

21

22

23

Unemployment Rate

24

25

0
12

13

14

15

16

17

18

19

20

21

22

23

Core PCE Inflation (4-qtr)

Percent

24

25

Percent

10

3.2

9

2.8

8

2.4

7

2.0

6

1.6

5

1.2

4
12

13

14

15

16

17

18

19

20

21

22

23

24

25

0.8
12

Page 19 of 30

13

14

15

16

17

18

19

20

21

22

23

24

25

Authorized for public release by the FOMC Secretariat on 02/09/2018
Figure 2(b)
$1.25 Trillion Programs: Select Balance Sheet Items
SOMA Holdings

Billions of dollars

Monthly

Reserve Balances
5000

Billions of dollars

Monthly

Option 3: $45B Treasury / $40B MBS
Option 4: $25B Treasury / $40B MBS
Option 5: $60B Treasury / $40B MBS
Option 6: No Purchases

4500
4000

4000

3500

3000
3500
2500

3000

2000

2500
2000

1500

1500
1000
1000
500

500

0

0
2008

2011

2014

2017

SOMA Treasury Holdings

2020

2023

Billions of dollars

Monthly

2008

2011

2014

2017

SOMA Agency MBS Holdings
4000

2020

2023

Billions of dollars

Monthly

2200
2000

3500

1800
3000

1600
1400

2500

1200
2000

1000
800

1500

600
1000
400
500

200
0

0
2008

2011

2014

2017

2020

2023

2008

Page 20 of 30

2011

2014

2017

2020

2023

Authorized for public release by the FOMC Secretariat on 02/09/2018
Figure 2(c)
$1.25 Trillion Programs: Income Projections
SOMA Interest Income

Interest Expense

Billions of dollars

140

Annual

Annual

120
100

2010

2012

2014

2016

2018

Realized Capital Losses

2020

2022

2024

2012

2014

2016

2018

Deferred Asset

2020

2022

Option 3: $45B Treasury / $40B MBS
Option 4: $25B Treasury / $40B MBS
Option 5: $60B Treasury / $40B MBS
Option 6: No Purchases

60

40

40

20

20

0

0

-20

2010

2012

2014

2016

2018

2020

2022

2024

Billions of dollars

Annual

100

100

80

80

60

60

40

40

20

20

0

0

-20

2010

2012

2014

2016

2018

120

2020

2022

2024

Billions of dollars

End of year

80
60
40
20
0
2012

2014

2016

2018

2020

2022

2024

140
120

100

2010

-20

120

140

End of year

100

60

Unrealized Gains/Losses

Billions of dollars

120

80

140

2024

140

80

Remittances to Treasury

Billions of dollars

Annual

2010

Billions of dollars

-20

2010

Page 21 of 30

2012

2014

2016

2018

2020

2022

2024

-20

350
300
250
200
150
100
50
0
-50
-100
-150
-200
-250
-300
-350

Authorized for public release by the FOMC Secretariat on 02/09/2018

Figure 3(a) Survey-based projections of 10-year Treasury Yields
7

Percent

6

5

4

3

2

Oct. Tealbook (Option 1)
Blue Chip Consensus
Blue Chip Top 10
Blue Chip Bottom 10
SPF Philadelphia Fed

1

0
2012

2013

2014

2015

2016

2017

2018

2019

2020

2021

2022

2023

Note: The October Tealbook and Blue Chip projections are annual averages. The Blue Chip projection, an average from 56
respondents, is a combination of the November 2012 short-run and October 2012 long-run forecasts. The SPF projection from
November 9, 2012 is an annualized year-over-year forecast.

Figure 3(b) Projections of 10-year Treasury Yields for Option 3
7

Percent

6

5

4

3

2

Option 3
Option 3 + 100bp Shock
Option 3 Alt Sim
Option 3 - 100bp Shock

1

0
2012

2013

2014

2015

2016

2017

2018

Page 22 of 30

2019

2020

2021

2022

2023

Authorized for public release by the FOMC Secretariat on 02/09/2018
Figure (a)
Interest Rate Shock: Select Assets and Liabilities of the Balance Sheet
SOMA Holdings

Billions of dollars

Monthly

Reserve Balances
5000

Billions of dollars

Monthly

Option 1
Option 1 + 100bp Shock
Option 3
Option 3 + 100bp Shock

4500
4000

4000

3500

3000
3500
2500

3000

2000

2500
2000

1500

1500
1000
1000
500

500

0

0
2008

2011

2014

2017

SOMA Treasury Holdings

2020

2023

Billions of dollars

Monthly

2008

2011

2014

2017

SOMA Agency MBS Holdings
4000

2020

2023

Billions of dollars

Monthly

2200
2000

3500

1800
3000

1600
1400

2500

1200
2000

1000
800

1500

600
1000
400
500

200
0

0
2008

2011

2014

2017

2020

2023

2008

Page 23 of 30

2011

2014

2017

2020

2023

Authorized for public release by the FOMC Secretariat on 02/09/2018
Figure (b)
Interest Rate Shock: Income Projections
SOMA Interest Income

Interest Expense

Billions of dollars

140

Annual

Annual

120
100

2010

2012

2014

2016

2018

Realized Capital Losses

2020

2022

2024

2012

2014

2016

2018

Deferred Asset

2020

2022

2024

2012

2016

2018

2020

2022

60

40

40

20

20

0

0

-20

2010

2012

2014

2016

2018

2020

2022

2024

Billions of dollars

Annual

-20

140

120

120

100

100

80

80

60

60

40

40

20

20

0

0

-20

140

2024

100

60

120

2014

120

80

2010

2012

2014

2016

2018

Unrealized Gains/Losses

Billions of dollars

140

80

140

End of year

2010

Option 1
Option 1 + 100bp Shock
Option 3
Option 3 + 100bp Shock

Remittances to Treasury

Billions of dollars

Annual

2010

Billions of dollars

2020

2022

2024

Billions of dollars

End of year

-20

300
200

100

100

80

0

60

-100

40

-200

20

-300

0

-400

-20

2010

Page 24 of 30

2012

2014

2016

2018

2020

2022

2024

-500

Authorized for public release by the FOMC Secretariat on 02/09/2018

Figure (a)
Adverse Alt Sim: Macroeconomic Effects
Option 3
Option 3 with Alt Sim

Federal Funds Rate

10-Year Treasury Yield

Percent

Percent

7

7

6

6

5

5

4

4

3

3

2

2

1

1

0
12

13

14

15

16

17

18

19

20

21

22

23

30-year Mortgage Rate

24

25

0
12

13

14

15

16

17

18

19

20

21

22

23

Real GDP Growth (4-qtr)

Percent

24

25

Percent

9

6

8

5

7
4

6
5

3

4
2

3
2
12

13

14

15

16

17

18

19

20

21

22

23

Unemployment Rate

24

25

1
12

13

14

15

16

17

18

19

20

21

22

23

Core PCE Inflation (4-qtr)

Percent

24

25

Percent

10

3.5

9

3.0

8

2.5

7

2.0

6

1.5

5

1.0

4
12

13

14

15

16

17

18

19

20

21

22

23

24

25

0.5
12

Page 25 of 30

13

14

15

16

17

18

19

20

21

22

23

24

25

Authorized for public release by the FOMC Secretariat on 02/09/2018
Figure (b)
Adverse Alt Sim: Select Balance Sheet Items
SOMA Holdings

Billions of dollars

Monthly

Reserve Balances
5000

Billions of dollars

Monthly

Option 3
Option 3 with Alt Sim
Option 3 with Alt Sim + No Sales

4500

4000

3500

4000
3000
3500
2500

3000

2000

2500
2000

1500

1500
1000
1000
500

500

0

0
2008

2012

2016

SOMA Treasury Holdings

2020

2024

Billions of dollars

Monthly

2008

2012

2016

SOMA Agency MBS Holdings
4000

2020

2024

Billions of dollars

Monthly

2000
1800

3500

1600
3000

1400

2500

1200
1000

2000

800
1500
600
1000

400
200

500

0

0
2008

2012

2016

2020

2024

2008

Page 26 of 30

2012

2016

2020

2024

Authorized for public release by the FOMC Secretariat on 02/09/2018
Figure (c)
Adverse Alt Sim: Income Projections
SOMA Interest Income

Billions of dollars

Annual

Interest Expense
200
180

Annual

160
140

2010

2013

2016

2019

Realized Capital Losses

2022

Annual

2010

2016

2019

Deferred Asset

2022

End of year

180
160
140
120
100

80

80

60

60

40

40

20

20

0

0
2010

2013

2016

2019

Remittances to Treasury
200

2022

2025

Billions of dollars

Annual

180
160

140

140

120

120

100

100

80

80

60

60

40

40

20

20

0

0
2010

2013

2016

2019

Unrealized Gains/Losses
200
180

2022

2025

Billions of dollars

End of year

350
250

140

150
50

100

-50

80

-150

60

-250

40

-350

20

-450

0
2013

2016

2019

2022

2025

450

160
120

2010

200

160

2025

Billions of dollars

200

100

180

2013

Option 3
Option 3 with Alt Sim
Option 3 with Alt Sim + No Sales

120

2025

Billions of dollars

Billions of dollars

-550
2010

Page 27 of 30

2013

2016

2019

2022

2025

-650

Authorized for public release by the FOMC Secretariat on 02/09/2018
Table 1 ‐ Key Scenario Assumptions and Projections
Option 1
750

Option 2
750

Option 3
1250

Option 4
1250

Option 5
1250

53%
47%

38%
62%

53%
47%

38%
62%

60%
40%

Monthly Pace of Purchases  ($ billions)

85

65

85

65

100

Balance Sheet2
Reserves at Liftoff  ($ billions)
SOMA Peak Size  ($ billions)
SOMA Normalization Month
SOMA Size at Normalization ($ billions)
MBS Sales (monthly average, $ billions)

2000
3300
Feb‐19
1,630
14

2000
3300
Feb‐19
1,630
15

2500
3800
Aug‐19
1,640
17

2500
3800
Aug‐19
1,640
18

2500
3800
Aug‐19
1,640
16

1500
2800
Aug‐18
    1,600
11

Income (2012‐2025)
Cumulative Remittances ($ billions)

590

590

530

540

530

630

     Net Interest Income ($ billions)
     Cumulative Capital Losses ($ billions) 3

970
65

980
70

940
90

960
100

930
84

990
40

Maximum Deferred Asset ($ billions)
Number of Years Deferred Asset

3.9
2.1

3.6
2.0

45
5.0

42
5.0

43
5.0

0
0

Maximum Financial and Economic Impact 
Term Premium (bps)
Change in Stock of Federal Debt in 2025 ($ billions)
Change in Unemployment Rate (through 2015, in bps)
Change in core PCE Inflation  (through 2015, in bps)

‐21
‐220
‐30
18

‐20

‐41
‐300
‐57
34

‐36

‐41
‐330
‐57
34

Total Purchases since Oct. 1, 2012  ($ billions)
     Treasury Share of 2013 Purchases (percent) 1 
     MBS Share of 2013 Purchases (percent)

‐30
18

‐51
30

Option 6
250

Income with 100 bp Interest Rate Shock 
Cumulative Remittances ($ billions)

600

500

700

     Net Interest Income ($ billions)

1020

950

1070

     Cumulative Capital Losses ($ billions) 3

100

140

70

Maximum Deferred Asset ($ billions)
Number of Years Deferred Asset

41
5

120
6.8

0.5
1.0

1

  Purchase distribution of nine years.
  Lift‐off for all scenarios is August 2015, redemptions begin at t ‐ 6 and MBS sales begin t + 6 and continue for five years (through Jan‐21).
3
  Includes $17 billion in capital gains from 2012 MEP sales.
2 

Page 28 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018

Table 2 ‐ Key Scenario Assumptions and Projections for Interest Rate Shocks

750

1250

53%
47%

53%
47%

85

85

Total Purchases since Oct. 1, 2012  ($ billions)
     Treasury Share of Purchases (percent)

1 

     MBS Share of Purchases (percent)

Monthly Pace of Purchases  ($ billions)

250

100 bps 
Option 3
shock

100 bps 
No Sales
shock

Alt. Sim.

Option 6

100 bps 
shock

2,000
3,300
Feb‐19
1,630
14

2,000
3,300
Mar‐19
1,600
14

2,500
3,800
Aug‐19
1,640
17

2,500
3,800
Sep‐19
1,580
17

2,500
3,800
Sep‐20
1,780
0

2,600
3,800
May‐19
1,480
17

1,500
2,800
Aug‐18
1,600
11

1,400
2,800
Aug‐18
1,560
11

590

600

530

500

580

440

630

     Net Interest Income ($ billions)
     Cumulative Capital Losses ($ billions) 3

970

1020

940

950

880

940

990

65

100

90

140

‐17

180

40

Maximum Deferred Asset ($ billions)
Number of Years Deferred Asset

3.9
2.1

41
5.0

45
5.0

125
6.8

6.1
2.0

180
7.8

0
0

680
1070
70
0.5
1.0

Economic Impact
Change in Stock of Federal Debt in 2025 ($ billions)

‐220

Option 1
Balance Sheet2
Reserves at Liftoff  ($ billions)
SOMA Peak Size  ($ billions)
SOMA Normalization Month
SOMA Size at Normalization ($ billions)
MBS Sales (monthly average, $ billions)
Income (2012‐2025)
Cumulative Remittances ($ billions)

‐300

1

2,235

  Purchase distribution of nine years.
  Lift‐off in the Alt Sim is August 2014, implying redemptions begin Feb‐14 and MBS sales are conducted from Feb‐15 to Jan‐20.
3
  Includes $17 billion in capital gains from 2012 MEP sales.
2 

Page 29 of 30

Authorized for public release by the FOMC Secretariat on 02/09/2018
Table 3 - Scenario Projections for Alt Sim and Additional Adverse Shocks
Interest Expense ($bn, annual)

2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025

Remittances ($bn, annual)

Option #3 
(No Shock)

100bp 
Shock

Alt Sim

Alt Sim + 
Funding 
Shock

6
7
9
39
57
38
9
5
5
5
5
5
5

6
7
13
57
73
49
13
6
6
6
6
7
7

6
12
54
75
68
38
8
7
6
6
6
6
6

6
24
63
81
72
39
8
7
6
6
6
6
6

Capital Losses ($bn, annual)
Option #3 
(No Shock)

100bp 
Shock

Alt Sim

2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025

Deferred Asset ($bn, end of Year)

Option #3 
(No Shock)

100bp 
Shock

Alt Sim

Alt Sim + 
Funding 
Shock

72
81
75
21
0
0
0
0
0
38
49
53
56

72
81
71
7
0
0
0
0
0
0
36
70
75

74
76
9
0
0
0
0
0
0
0
41
79
81

74
64
4
0
0
0
0
0
0
0
16
76
79

Remittances ($bn, annual)
Alt Sim + 
MBS Shock

Option #3 
(No Shock)

100bp 
Shock

Alt Sim

2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025

Option #3 
(No Shock)

100bp 
Shock

Alt Sim

Alt Sim + 
Funding 
Shock

0
0
0
0
18
36
43
44
7
0
0
0
0

0
0
0
9
51
90
112
125
82
28
0
0
0

0
0
6
46
102
150
181
149
98
34
0
0
0

0
0
11
57
116
166
198
167
118
56
0
0
0

Deferred Asset ($bn, end of Year)
Alt Sim + 
MBS Shock

Option #3 
(No Shock)

100bp 
Shock

Alt Sim

Alt Sim + 
MBS Shock

2013
0
0
0
0
2013
72
72
74
74
2013
0
0
0
0
2014
0
0
0
0
2014
81
81
76
76
2014
0
0
0
0
2015
0
0
‐23
‐26
2015
75
71
9
7
2015
0
0
6
8
2016
‐13
‐18
‐32
‐35
2016
21
7
0
0
2016
0
9
46
51
2017
‐19
‐27
‐39
‐43
2017
0
0
0
0
2017
18
51
102
111
2018
‐23
‐32
‐46
‐50
2018
0
0
0
0
2018
36
90
150
165
2019
‐25
‐36
‐51
‐56
2019
0
0
0
0
2019
43
112
181
202
2020
‐29
‐41
‐4
‐5
2020
0
0
0
0
2020
44
125
149
171
2021
0
0
0
0
2021
0
0
0
0
2021
7
82
98
123
2022
0
0
0
0
2022
38
0
0
0
2022
0
28
34
61
2023
0
0
0
0
2023
49
36
41
10
2023
0
0
0
0
2024
0
0
0
0
2024
53
70
79
76
2024
0
0
0
0
2025
0
0
0
0
2025
56
75
81
79
2025
0
0
0
0
All scenarios are based on projections of $1 trillion additional purchases. Lift off for the no shock and 100bp shock is August 2015, while lift off for the 200bp shocks is August 2014. For all 
scenarios redemptions begin 6 months before lift off and sales begin 6 months after lift off. 

Page 30 of 30