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Working Paper Series

Fixed Prices and Regulatory Discretion
as Triggers for Contingent Capital
Conversion: An Experimental
Examination
WP 15-02

Douglas Davis
Virginia Commonwealth University
Edward Simpson Prescott
Federal Reserve Bank of Richmond

This paper can be downloaded without charge from:
http://www.richmondfed.org/publications/

Fixed Prices and Regulatory Discretion as Triggers for Contingent Capital
Conversion: An Experimental Examination*
Douglas Davis, Virginia Commonwealth University
Edward Simpson Prescott, Federal Reserve Bank of Richmond†

Working Paper No. 15-02
Abstract
An unresolved issue regarding the implementation of ‘contingent capital’ bonds regards
identifying the best mechanism for triggering the conversion of debt into equity. This paper
reports a laboratory experiment that builds on previous work to evaluate the relative desirability
of two leading candidate mechanisms: a price informed regulator and a mechanistic fixed-price
trigger. We find that the conversion rule in effect determines the desirability of these two
mechanisms. When the conversion increases incumbent equity value, a fixed trigger is
preferable, but when the conversion decreases value, the reverse holds. Two modifications for
improving the regulator mechanism, creating regulator bias (e.g., giving a regulator asymmetric
rewards over intervention) and probabilistically providing a regulator with non-market
information, only enhance this result.
Keywords: bank regulation; experiments; contingent capital
JEL codes: C92; G14; G28
_____________________
* The authors thank for their useful comments seminar participants in a seminar at the Virginia Commonwealth
University School of Business and attendees in a session on Capital and Banking Experiments at the 2014 meeting
of the Southern Economics Association. The usual disclaimer applies. Thanks also to Aaron Lazar for Z-Tree
programming and assistance with experiment administration. Financial assistance from the National Science
Foundation (SES 1426980) is gratefully acknowledged.
†

The views expressed in this paper do not necessarily reflect those of the Federal Reserve Bank of Richmond or the
Federal Reserve System.

1

1. Introduction
In the aftermath of the 2008 financial crisis regulators and banking scholars have devoted
considerable attention to policies that might improve the stability of the banking system. One
proposal that has received particular attention would require systemically important banks to
carry as a significant portion of their balance sheets a new class of “contingent capital” bonds
that convert to equity when the bank passes a pre-defined triggering condition. In times of
financial distress these ‘CoCo’ bonds could importantly address a bank’s debt overhang
problems by enabling it to raise equity at a pre-determined price just when raising equity in the
capital markets is most problematic. 1
Critical to the effective implementation of CoCo’s is the trigger for converting debt into
equity. Many proposals suggest the use of a mechanistic price-based rule as a conversion trigger
(e.g., Calomiris and Herring, 2013; Flannery, 2009; McDonald, 2013; Pennacchi, 2011; and
Pennacchi, Vermaelen, and Wolff, 2013). Price-based triggers offer the important advantage of
adjusting continuously to current market conditions. 2 Mechanistic ‘fixed trigger’ variants of
price-based rules, such as a pre-determined minimum equity price, are less susceptible to
external pressures that may affect their implementation than would be less rigidly defined
alternatives, such as the use of a regulator with discretionary authority. Further, even absent
external pressures, mechanistic rules reduce the uncertainty inherent in a regulator-based
conversion mechanism regarding the timing and magnitude of a conversion.
As shown recently by Sundaresan and Wang ‘SW’ (2014), however, ‘fixed-trigger’
mechanisms may not work: For certain ranges of fundamental values, a fixed trigger can
undermine the informational content of the prices on which it relies. The predicted effects of a
fixed trigger depend on the conversion rule, or the effect of the conversion on the value of equity
to incumbent equity owners. The effects of triggering mechanisms on both value-increasing and
1

In addition to addressing the ‘debt overhang’ problem, CoCo’s also automatically restructure part of a bank’s
capital structure, thus reducing the chance of a costly resolution, and may temper managerial risk-taking incentives.
See Prescott (2012) for a discussion.
2
An alternative triggering mechanism, and what has been used in existing CoCo bonds, is one based on accounting
measures, such as capital adequacy ratios. A weakness of accounting measures is that they lag actual economic
performance of banks. For example, since 1992, U.S. bank regulators have followed prompt corrective action rules.
These rules restrict the activities of banks and require regulators to take preventative actions when regulatory capital
ratios are breached, which can include putting the bank into receivership. One goal of PCA was to reduce losses to
the FDIC when a bank failed. Despite this reform, in the 2008 crisis losses to deposit insurance funds were over
25%. See Balla, Prescott, and Walter (2014) for details. Furthermore, accounting-based measures can sometimes be
manipulated. See Calomiris and Herring (2012).

1

value-decreasing conversion rules are of interest. Although most proposals for the design of
CoCo’s advocate implementing a value-decreasing conversion rule as a means of tempering risk
taking incentives by bank managers, as a practical matter, the bulk of existing CoCo issues
involve value-increasing conversions. 3 In the case of a value-decreasing conversion, SW show
that a fixed trigger creates multiple equilibria for a range of market fundamentals above the
trigger price. In the case of a value-increasing conversion, they show that equilibrium does not
exist for a range of market fundamentals below the trigger price.
Despite the previously raised issues of implementation associated with regulator-based
triggering mechanisms, such mechanisms are worth studying because they have different
properties than fixed triggers. Birchler and Facchinetti ‘BF’ (2007) and Bond, Goldstein, and
Prescott ‘BGP’ (2010) show that in the case of a value-decreasing conversion the use of a
regulator eliminates the problem of multiple equilibria. Unfortunately, in the case of a valueincreasing conversion, BF and BGP also establish that equilibrium non-existence persists in a
regulator regime and in fact arises over a wider range of market fundamentals than under a fixedtrigger rule.
Data from naturally occurring markets provide little guidance as to the type of triggering
mechanism that might as a practical matter work most effectively. Although issues of CoCo type
bonds have increased substantially in the last several years, no instance of a triggering condition
being breached has yet occurred. 4 Furthermore, all the existing issuances use accounting ratios
rather than market prices as the trigger. Given the paucity of empirical data, experimental
methods are a particularly useful source of evidence. We are aware of only one such paper.
Davis, Korenok, and Prescott ‘DKP’ (2014) report an experiment that evaluates the relevance of
these predicted imprecisions with price-based triggering mechanisms. They find that in both
fixed-trigger and regulator regimes the theoretically predicted problems of multiple equilibria
and equilibrium non-existence manifest themselves as variability in realized prices, prices
deviating from realized values, a misallocation of resources, and errors in conversion. Further,
and contrary to theoretical predictions, in the case of a value-decreasing conversion, errors
3

Avdjiev, Kartasheva, and Bogdanova (2013) reports that over half of CoCo issues in 2013 involve a principal write
down and that in most cases the write down is complete. Such bonds represent an extreme case of a value-increasing
conversion rule, because in the event of a conversion, debt is simply retired with no associated change to existing
equity
4
Most of the CoCo issues have been in Europe. Avdjiev et al. (2013) report €70 billion in CoCo issuances between
2009 and 2013, compared to €410 billion in standard debt issues in the same time frame. Hayden (2014) asserts that
an additional €150 billion in CoCo issues are planned in the next three years.

2

occurred in the regulator regime as well as in the fixed-trigger regime. As a consequence for
some ranges of fundamentals, frequent conversion errors occur in markets using either rule.
An important question not definitively addressed by DKP regards the relative
performance of the two triggering mechanisms. 5 Furthermore, there are several realistic
modifications to the regulator environment that could improve the performance of a regulator. In
this paper, we study two such modifications. The first one regards the regulator’s incentive to
act. A primary observation from DKP is that the regulator must infer the fundamentals from
prices, while traders need to guess how the regulator will react to prices. Changing the
regulator’s incentives so that there is a bias away from or toward conversion should affect the
regulator’s behavior, what traders infer, and ultimately when conversions will occur.
The second modification is to supplement the regulator’s price observations with nonmarket information. Bank regulators have special legal powers to conduct regular bank
examinations and via this process can see information beyond what is reported in financial
statements. Several studies report that such examinations do give bank regulators access to some
information before the markets. 6 While current and accurate information should clearly help a
regulator make decisions, timely non-market information is not always available. Further, as the
literature also makes clear, the market regularly possesses information that the regulators do not
have. Consequently, we will study an environment where the regulator has his own signal with
some probability.
We study these questions by reporting a follow-up experiment to DKP that evaluates the
relative accuracy of fixed-trigger and regulator-based conversion rules. In addition to more
systematically analyzing conversion error rates in the 34 market sessions previously reported in
DKP, we report 12 new market sessions conducted in variants of a regulator regime that
incorporate regulator bias and non-market information. We find that the conversion rule

5

Observing that the fixed trigger mechanism was both more readily understood by traders and eliminated
uncertainty regarding the monitor’s actions, DKP offers some guarded support for the fixed trigger mechanism.
However, as reviewed below, support for the fixed trigger mechanism in the DKP experiment is far from
unqualified, and in several dimensions the regulator regime generated superior results.
6
The survey in Flannery (1998) discusses the literature on market prices and bank quality. He reports numerous
studies that find that market prices contain information that is predictive of changes in bank quality as measured by
bank regulators. However, he also reports on some studies, such as Berger and Davies (1998), that find that
regulators also have some information that the market does not have. See also Berger, Davies, and Flannery (2000)
and DeYoung, Flannery, Lang, and Sorescu (2001). Furthermore, BGP show that if the regulator is given his own
signal drawn from a uniform distribution, the range of fundamentals for which an equilibrium does not exist
decreases as the quality of the signal improves.

3

importantly affects the relative accuracy of fixed price and regulator based triggering
mechanisms. In the case of a value-increasing conversion, results support economists’
predisposition toward the use of a fixed trigger: Previously reported fixed trigger markets are
marginally superior to regulator markets, and both inaction bias and adding non-market
information actually strengthen the superiority of a fixed trigger rule. However, in the case of a
value-decreasing conversion, the regulator based mechanism is superior. In previously reported
sessions we find that in several dimensions regulator markets perform better than fixed trigger
markets. Moreover, both inaction bias and non-market information substantially improve the
performance of a regulator based rule.
The remainder of this paper is organized as follows. Section 2 reviews the pertinent
theoretic and experimental literature. Sections 3 and 4 present respectively, the experimental
design and results. The paper concludes with a short fifth section.
2. Background.
Theoretical Motivation. To understand the potential for ambiguity in price-based triggering rules,
consider the following example, which also serves as the basis for our experimental design. The
equity of a bank has an underlying fundamental value realization θ randomly drawn from a
possible range of values between $2.00 and $8.00. Suppose that this fundamental realization is
known by traders who trade the equity. Suppose further, however, that when the fundamental is
below a critical value θˆ = $5.00, the bank is in distress and a debt-to-equity conversion is socially
desirable and that conversion changes the equity payout by $2.00. SW study a related model in
which conversion occurs if the price is below a fixed amount, analogous to the $5.00 trigger in
our example.
In the case of a value-decreasing conversion, SW establishes that a fixed price trigger
creates a potential for multiple equilibria. If conversion drops the value of equity by $2.00, then
for $5.00 ≤ θ < $7.00 an equilibrium exists at the price where no conversion occurs. However,
for the same fundamental a second equilibrium also exists: If traders pessimistically assume that
a conversion will occur, they will all incorporate the value of the conversion, ω, into their price.
Since no unilateral action by any trader could raise the price above the trigger, θˆ = $5.00 , then a

4

Treatment

Fixed-Trigger (SW)
Regulator (BGP&BF)

Table 1. Reference Predictions by Treatment
Conversion Condition
Range
<$3.00 $3.00 - $4.99 $5.00- $6.99
(1) Value Decreasing
(2) Value Increasing
(3) Value Decreasing
(4) Value Increasing

*
*
*
*

*
No Eq.
*
No Eq.

>$7.00

Mult. Eq.
*
*
No Eq.

*
*
*
*

Key: * Unique rational expectation equilibrium exists; Mult. Eq.: Multiple rational expectations equilibria exist; No
Eq. – No rational expectations equilibrium exists.

price of θ - ω, is also a rational expectations equilibrium. This prediction is summarized in the
top row of Table 1.
SW further shows that in the case of a value-increasing conversion, a fixed-trigger rule
generates problems of equilibrium nonexistence for fundamental realizations between $3.00 and
$5.00, as listed in the second row of Table 2. Figure 1 illustrates the intuition driving this result.
For example, if θi is $3.50, then the unit is worth $5.50 to traders in the case of a conversion. The
conversion will occur, however, only if the market price is below $5.00. For such a realization
(and for any fundamental realization between $3.00 and $5.00) no equilibrium price exists.
Suppose alternatively that a regulator with discretionary authority to intervene makes the
conversion decision. BGP and BF study this situation. The bottom two rows of Table 1
summarize pertinent predictions for regulator-based triggering mechanism. Notice in row 3 of
Table 1 that in contrast to a fixed-trigger rule a regulator-based regime does not generate
multiple equilibria in the case of a value-decreasing conversion. This result holds because in this
model, existence requires that the price function be monotonic and a regulator can infer from any
monotonic price function exactly what the underlying fundamental is. Therefore, the regulator
never converts when the fundamental is above θˆ = $5 , which eliminates the inefficient price
functions that were equilibria in the fixed-price mechanism.

5

P(θ +ω)

P
Price range where
prices are consistent
with multiple values.

P(θ )

^

P(θ +ω )=$7.00
^

P(θ)

$5.50
=$5.00
$3.50

θi+ω =$5.50

θi =$3.50
^

θ −ω =$3.00

^

Value range where price
does not uniquely signal
value.

^

θ=$5.00 θ +ω =$7.00

θ

Range of socially desirable
conversions

Figure 1. Security Prices, Given the Possibility of a Value-Increasing Conversion.
However, as summarized in the bottom row of Table 1, in the case of a value-increasing
conversion, equilibrium non-existence remains a problem, and in fact arises over a wider range
of fundamental realizations than under a fixed-trigger rule. Figure 1 illustrates the difficulty of
transmitting fundamental value information with prices in this case. At prices below $5.00, the
regulator can unambiguously infer that conversion is welfare improving, since θ must be below
$3.00 whether or not the conversion takes place. Similarly, at prices above $7.00, the regulator
can conclude that a conversion would not be welfare enhancing, since θ must exceed $5 even if
traders fully incorporate the possibility of a conversion into the price. But if the price is between
$5.00 and $7.00, no clear inference regarding the fundamental may be drawn. For example, a
price of $5.50 is consistent both with an underlying fundamental of $3.50 (if the price
incorporates the value of the conversion) and $5.50 (if in fact θ=$5.50 and the traders anticipate
no conversion). In this case the transaction price of the security does not convey enough
information to allow the regulator to distinguish between these two possible fundamentals, so the
regulator does not know whether to intervene or not. For this reason, over the range of
fundamental realizations between $3.00 and $7.00 no equilibrium exists.
6

The DKP Experiment. To evaluate the consequences of the above-discussed theoretical
problems with price-based triggering mechanisms, DKP report a laboratory experiment based on
the parameterized example discussed in this section. The experiment consisted of a series of 34
multi-period market sessions. In each period 10 traders, endowed with two asset units and a
working capital loan, were invited to trade. Trading was conducted under standard open book
double auction rules. Traders knew that in each period dividends took on one of two
realizations, either the market fundamental, θ, or a lower value θ-$0.60, where the lower value
was imposed on a minority of traders to induce an incentive to trade. Traders did not know
whether their realization was high or low for the period, but they did know that there were more
high-value than low-value units (12 high-value versus eight low-value), so that the high-value θ
was the competitive equilibrium in the absence of a conversion decision. Also, while traders
were informed about the triggering mechanism, they did not learn until after the close of trade
whether or not a conversion occurred. Conversions either raised or reduced the dividend values
by $2.00, depending on whether the conversion rule was value-increasing or value-decreasing. 7
Sessions included both regulator and fixed-trigger regimes. 8 In the regulator ‘REG’
regime, following the close of trade, three financially motivated monitors both guessed the
market dividend and made conversion decisions in light of the median contract price. 9 Monitor
decisions were made simultaneously and, once complete, one of the three decisions was
randomly selected and implemented in market. In the fixed-trigger ‘FT’ regime, a median
contract price below $5 automatically triggered a conversion.

7

It is worth noting that the experiment is not exactly the same as the rational expectations Walrasian model
described earlier. The experimental environment differs for practical reasons. First, we introduced some value
heterogeneity among participants to motivate trade. Second, we conducted trade via an open book double auction
because of its effective performance in experiments and because it resembles trading mechanisms used in practice.
8
In 12 of the 34 sessions the primary purpose was to investigate the capacity of a prediction market to remedy the
ambiguity of price information caused by using a regulator-based triggering mechanism under. As BGP show, a
prediction market where traders also trade an asset that pays off when conversion occurs resolves the equilibrium
nonexistence issue that arises in the case of a value-increasing conversion. Behaviorally, DKP report that the
addition of a prediction market reduces but hardly eliminates conversion errors. Here in the text we consider only
the five periods in each of these sessions where a regulator-triggering regime was used absent a prediction market
(these periods preceded the introduction of the prediction market). In an unpublished appendix A1 we analyze more
fully performance of the prediction market relative to the previously reported regulator and fixed trigger regimes, as
well as relative to the variations of the regulator regime studied below.
9
Monitors earned up to $3 (lab) for accurately guessing the market fundamental given the median contract price.
They earned $10 from a correct conversion decision – that is a decision to convert when the market fundamental was
below $5 and a decision to not convert when the market fundamental was $5.00 or above. To prevent hedging,
monitors were obligated to make consistent market fundamental guess/ conversion decision choices.

7

The conversion error rates listed in Figure 2 summarize the results. In each panel of the
figure notice that market fundamentals are clustered into six ranges: the <$3.00 and >$7.00
ranges where neither triggering mechanism creates price ambiguity, as well as partitions of the
$3.00-$4.99 and $5.00-$6.99 ranges, where, depending on the triggering mechanism and
conversion rule, either multiple equilibria or equilibrium non-existence arise. The partitions
separate out the ranges 60¢ above and below the $5.00 efficient conversion limit. Although the
proximity of a market fundamental realization to $5.00 is not pertinent in the BGP or SW models
(both of which use a rational expectations framework), it does affect market performance in the
more fully specified market context examined in DKP that includes the value heterogeneity
necessary for trade, because for market fundamental realizations within 60¢ of the $5.00
conversion cutoff, some traders must learn the location of the market fundamental from the
trading process. 10
Looking first at the case of value-increasing conversions, observe that under both
triggering mechanisms, conversion errors do in fact tend to cluster around fundamental
realizations close to the $5.00 cutoff. However, in the REG markets errors are distributed both
above and below the $5.00 cutoff, while in the FT markets, errors cluster in the $3.00 to $4.99
range. These results are consistent with theoretical predictions: In the REG regime market,
fundamentals of, say, $4.60 and $5.40 may generate very similar transaction prices, both
somewhere in excess of $5.00, leaving monitors confused as to the desirability of conversion and
roughly as likely to err by converting as by not converting. On the other hand, in the FT regime,
conversion errors occur predominantly when the market fundamental is slightly below $5.00 and
traders are unable to keep the median transaction price below the automatic conversion cutoff.

10

For example, if the market fundamental was $5.20, six traders (with 12 asset units) would see a fundamental
above $5 while four other traders (with eight asset units) would see a fundamental of $4.60. The traders with the
low value must learn from the bids and offers of the high-value traders that the market fundamental is above $5.00
and hence no conversion should occur. A similar situation arises for a fundamental of $4.80, except that in this case
the four low-value traders know that a conversion should occur, and the high-value traders must learn the location of
the fundamental relative to $5.00 from bids and offers.

8

Value Decreasing Conversions

Value Increasing Conversions
50%

50%

25%

25%

0%

0%
<$3.00

$3.00-$4.39 $4.40-$4.99 $5.00-$5.59 $5.60-$6.99

VIC-REG

>$7.00

<$3.00

$3.00-$4.39

$4.40-$4.99

$5.00-$5.59

VDC-REG

VIC-FT

$5.60-$6.99

>$7.00

VDC-FT

Figure 2. Conversion Error Rates for Regulator and Fixed-Trigger Regimes.

In the case of value-decreasing conversions, errors occur frequently in the FT regime for
fundamental realizations just above the $5.00 cutoff, as is also predicted by the theory. Not
consistent with theoretical predictions is the unpredicted incidence of conversion errors under a
REG regime. Here again, when market fundamentals were close to but above $5.00 traders often
partially incorporated the value of a conversion into prices, in this way generating median prices
in the $3.00 - $4.99 range. These downward price adjustments yield prices that would not be
observed in an equilibrium for the REG regime – traders should either fully incorporate the value
of a conversion, generating market prices of $2.99 or less, or realize that the market fundamental
exceeds $5.00 and no conversion will occur, generating prices of $5.00 or more. However, upon
seeing these prices the monitors often errantly concluded that the market fundamental was below
$5.00 and decided to convert.
Combined, these experimental results indicate that the problems of discerning
fundamental information from market prices suggested in the theoretical work may frequently
lead to errant decisions. Inspecting Figure 2 further, however, notice that the relative desirability
of the two triggreing mechanisms is not obvious. In the case of a value-increasing conversion,
the overall incidence of errors is roughly the same under either triggering condition.
Nevertheless, the type of error differs. In the REG regime, the bulk of errors occur for market
fundamentals above $5.00, meaning they were socially undesirable conversions (e.g., type II
errors of comission). In contrast, in the FT regime, errors are concentrated in the ranges of
market fundamentals below $5.00, meaning that socially desirable conversions failed to occur

9

(type I, errors of omission). McDonald (2013) argues that type II errors are likely more
problematic than type I errors.
In case of a value-decreasing conversion, the bulk of conversion errors are type II errors
of comission under either triggering condition. In other respects, the relative superiority of the
triggering mechansims depends on the criterion used: The overall incidence of conversion errors
is slightly higher in the FT than in the REG regime, while errors occur over a wider range of
fundamental realizations in the REG regime.
More generally, as discussed in the introduction, a more complete evaluation of the
relative desirablity of fixed-trigger and regulator-based triggering mechanisms requires
evaluation of both the effects of introducing inaction bias as well as the direct and indirect effects
of non-market regulator information. Our experiment extends this previous research by
conducting a series of 12 additional market sessions that examine the effects of these treatments
on the accuracy of conversion decisions.
3. Experiment Design and Procedures.
The section first explains the inaction bias and non-market information treatments and then
more generally discusses procedures.
3.1. Inaction Bias. The distortionary effects of external pressures on the timing and
magnitude of conversion decisions is potentially an important factor in assessing the value of
allowing a regulator to make a conversion decision. There are two distinct reasons to consider
introducing bias as a treatment. First, in both the Great Recession and the Savings and Loan
Crisis of the 1980s, regulators were criticized for not intervening with sufficient speed. In the
Savings and Loan Crisis, in particular, it is well documented that many S&Ls were insolvent but
were allowed to continue to operate in the hope they would recover (White, 1991). Introducing a
bias toward not taking an action can be viewed as a more realistic description of regulatory
incentives in such contexts. Second, in the previously reported sessions, where the regulator had
symmetric preferences over taking actions, undesirable conversions were the most frequent error.
This suggests that adjusting the regulator’s incentives toward inaction may be a way to reduce
these errors and affect how traders forecast regulator behavior
To gain some insight into the effects of incentives that bias a regulator against making a
conversion decision, we conduct a REGB treatment, which replicates the REG regime in DKP,
10

except that we alter monitors’ incentives so as to weaken their willingness to make a conversion
decision. As in the REG regime, monitors were told the median contract price for the periods
and then guessed the underlying market fundamental and made a conversion decision. They
earned a small amount (up to $3 lab) for guessing with sufficient accuracy the market
fundamental, and then a larger amount ($10 lab) for making a correct conversion decision (e.g.,
either converting when socially desirable or not converting when not socially desirable). In the
REGB treatment, we supplement this incentive scheme with penalties for decisions to intervene
that turn out to be errant. Specifically, if the monitor chooses to convert when conversion is not
socially desirable, the monitor not only forgoes the $10 reward, but incurs a $10 penalty. As
before, after all monitors make decisions, one of their choices is selected at random and
implemented in the market (e.g., increasing or decreasing the market fundamental by $2 in the
case conversion is selected). We evaluate cases of both value-increasing and value-decreasing
conversions.
In the literature, the commitment problem that encourages inaction is widely regarded as
a reason to prefer a fixed-trigger mechanism to a regulator-based trigger. The analysis in DKP
focuses on a different tradeoff, namely, how allowing a regulator to react to prices changes the
informational content of prices. Here, we see if changes to the regulator can improve the
information contained in prices. In particular, in the case of a value-increasing conversion,
inaction bias will weaken the willingness of regulators to convert when facing trading prices in
the uninformative $5.00-$6.99 range. Incentives against action should increase the incidence of
forgone desirable conversions that generate such uninformative prices (e.g., for market
fundamentals in the $3.00 - $4.99 range), but at the same time they should reduce the incidence
of socially undesirable conversions that generate roughly the same prices (e.g., for market
fundamentals between $5.00 and $6.99). Referring back to Figure 2, observe that in the valueincreasing REG sessions reported in DKP, the bulk of conversion errors occurred for market
fundamentals between $5.00 and $5.59. Inaction bias may be beneficial on net if it reduces the
incidence of these socially undesirable and arguably more costly errors.
In the case of value-decreasing conversions, the possibility of beneficial consequences
from an induced inaction bias is even stronger. As can be seen in Figure 2, for the REG regime
conversion errors are concentrated in the $5.00 - $5.59 range of fundamentals, as pessimistic
traders incorporate the value of a socially undesirable conversion when the market fundamental
11

is slightly above the $5.00 cutoff, resulting in prices between $3.00 and $4.99 that reflect a
partial discounting of the market fundamental (this is also true in the FT regime). A bias toward
inaction should make monitors more reluctant to make a decision to convert for prices in the
$3.00 - $4.99 range and in this way may reduce the incidence of such ‘type II’ errors.
On balance then, the expected effects of inaction bias may not be entirely negative. In
the case of a value-increasing conversion, inaction bias should reduce the incidence of socially
undesirable conversions, partially or even completely offsetting an expected reduction in the
incidence of socially desirable conversions. In the case of a value-decreasing conversion,
inaction bias may well reduce the high incidence of conversion errors of commission observed in
previous REG sessions.
3.2 Non-Market Information. The second treatment we examine regards non-market
information. A primary hesitancy among policymakers to adopt a mechanistic fixed-price
trigger is that the pertinent regulatory authorities (e.g., bank examiners) may have access to
information regarding a bank’s institutional well-being that is not available to market participants
and for that reason may not be incorporated in prices. Such information, when available, should
improve the accuracy of decisions made by regulators, a result that BGP establish formally for
the case of a value-increasing conversion. Nevertheless, if bank examiners do not always have
access to accurate information, the market response to a perception that regulators know the
market fundamental may importantly dampen the direct effects of regulators actually being
informed.
We evaluate the effects of providing regulators with information by using a REGI
treatment, which is identical to the REG regime in DKP, except that in addition to seeing the
median transactions price, the market fundamental is revealed to monitors each period with
probability ½. Traders know the probability that monitors are informed, but they do not know
whether the monitor is informed or not in any particular period. We run the REGI treatment
under both value-increasing and value-decreasing conversion rules.
The expected effects of monitors probabilistically knowing the market fundamental vary
importantly with the conversion rule. In the case of a value-increasing conversion, the
possibility that monitors know the market fundamental should motivate traders to more fully
incorporate the value of socially desirable conversions into prices, in this way reducing the
informational content of prices in the uninformative $5.00 -$6.99 range. As a consequence, in
12

periods where monitors are not in fact uninformed we might see an increased incidence of
conversion errors and over a wider range of market fundamentals than in the previously reported
REG treatment (and thus also in the FT treatment). On the other hand, in the case of a valuedecreasing conversion the market response to probabilistically revealing the market fundamental
to monitors should lead to a reduction in the incidence of conversion errors. A presumption on
the part of traders that monitors know the market fundamental should help clarify the
informational content of prices: If monitors know the fundamental, traders should either fully
incorporate the value of a conversion into their prices (and trade at prices below $3.00) or ignore
any pessimism on the part of other traders and trade only at prices $5.00 and above. In sum,
even though the probabilistic presentation of market fundamentals to monitors will eliminate
conversion errors in the periods where the monitors are informed, the market response to
monitors possibly having such information should offset conversion error reductions in the case
of a value-increasing conversion but enhance conversion error reductions in the case of a valuedecreasing conversion.
3.3 Experiment Procedures. The experiment consists of a series of 12 market sessions,
with six sessions conducted in REGB treatment and another six session in the REGI treatment. At
the outset of each session a cohort of 13 student volunteers (10 traders and three monitors) were
randomly seated at visually isolated PCs. An experiment administrator then read aloud a
common set of instructions, which explained incentives for traders and for monitors as well as
how to make decisions on the computer interface used in the experiment. 11 The experiment was
programmed and conducted with the software z-Tree (Fischbacher, 2007). To facilitate
understanding, screen shots were projected onto a wall at the front of the lab. Following the
instructions, participants completed a short quiz of understanding, which the experiment
administrator reviewed publicly. At any time during the instructions and quiz, participants were
encouraged to ask questions by raising their hands. Questions were answered privately.
Following the quiz, the sessions commenced.
Initial instructions were for a BASE condition where traders buy and sell asset units, after
which monitors, given the median contract price for the period, attempt to guess the underlying
market fundamental for the period. After two periods in the BASE condition, the session was

11

Instructions are available in an unpublished appendix A5.

13

Table 2. Experiment Design and Session Progression
Session Structure, by Periods
Session
Number of
Sessions
1-2
3-12
13-25
REGB-VIC/REGB-VDC
3
BASE
REGB-VIC
REGB-VDC
REGB-VDC/REGB-VIC
3
BASE
REGB-VDC
REGB-VIC
REGI-VIC/REGI-VDC
3
BASE
REGI-VIC
REGI-VDC
REGI-VDC/REGI-VIC
3
BASE
REGI-VDC
REGI-VIC

paused and additional instructions were distributed, for either the REGB or for the REGI
treatment under a value-increasing (value-decreasing) conversion rule. An experiment
administrator then read aloud these instructions and administered another short quiz of
understanding, after which a 10 period segment commenced. Following the conclusion of the
second segment, a similar protocol was followed for a third segment, which was identical to the
second, except that the conversion rule was switched to value decreasing (value increasing).
Following the conclusion of the third segment, the experiment ended and participants were
privately paid and dismissed from the lab.
Table 2 summarizes the experiment design. In total, 156 undergraduate student volunteers
participated in the experiment. Participants were upper-level math, science, engineering, and
business students enrolled in courses at Virginia Commonwealth University in the spring
semester of 2014. No one participated in more than one session. Lab earnings were converted to
U.S. currency at $12.00 lab =$1.00 U.S. rate. Participant earnings for the 90-120 minute sessions
ranged from $17.50 to $29.50 and averaged $24.25 (inclusive of a $6 appearance fee).
Results of these sessions are evaluated in light of the 34 FT and REG markets previously
reported in DKP, which involved 424 subjects. With only minor differences, the previously
reported markets were conducted under the same conditions as the sessions reported here. 12
12

Procedures for the new sessions parallel almost exactly those for the six FT sessions reported in DKP, including
the same series of market fundamental realizations and the same rotation in the order of value-increasing and valuedecreasing segments with sessions across treatments. The only difference was that, due to time constraints, the
number of periods in the BASE condition was reduced from five to two. Procedures for the 16 REG sessions
reported in DKP differ from the REGB and REGI sessions in that value-increasing and value-decreasing treatments
were not varied within sessions. Rather, each REG session consisted of five BASE periods followed by 15 periods
under either a value-increasing or a value-decreasing conversion rule. Finally DKR also report 12 sessions in a
prediction market treatment. These sessions included periods in a BASE condition, followed by five periods in a
REG treatment and finally 10 periods in a prediction market treatment, where traders bought and sold ‘conversion
likelihood tickets’ as well as asset units. For these sessions, value-increasing and value-decreasing conversion
conditions were also conducted separately. Only the five REG periods in each of the prediction market sessions are

14

Value Decreasing Conversions

Value Increasing Conversions
50%

50%

25%

25%

0%

0%
<$3.00

$3.00-$4.39

$4.40-$4.99

VIC-FT

$5.00-$5.59

$5.60-$6.99

<$3.00

>$7.00

$3.00-$4.39 $4.40-$4.99 $5.00-$5.59 $5.60-$6.99

VDC-FT

VIC-REGB

VDC-REGB

Figure 3. Conversion Error Rates, REGB Treatment Relative to the FT Treatment.
4. Experiment Results.
4.1 Overview. Figures 3, 4, and 5, respectively plot conversion error rates for the REGB and two
different aspects of the REGI treatments relative to the counterpart FT treatments. In each bar
graph, observations are clustered into the same six ranges of fundamental realizations reported in
Figure 2.
Looking first at the REGB treatment, notice that in the case of value-increasing
conversions, inaction bias shifts the incidence of conversion errors from the roughly symmetric
dispersion around the $5.00 cutoff generated in the VIC-REG treatment (see Figure 2) to a
dispersion more like that in VIC-FT treatment, with the bulk of errors occurring for market
fundamental realizations below $5.00. 13 Nevertheless, the reduction in type II errors of
commission in the VIC-REGB treatment does not compensate for the increased incidence of
conversion errors for fundamentals below $5.00, and relative to the VIC-FT treatment the VICREGB condition is unreservedly less accurate: For every range of fundamental values where
conversion errors occurred, the incidence of errors is higher in the VIC-REGB condition than in
the VIC-FT treatment. While still imperfect, in the case of a value-increasing conversion, a
fixed-trigger rule yields more desirable results than a monitor who faces pressures to not make a
conversion.

included in the results reported in the text. An analysis of the relative performance of the prediction market
treatment appears in unpublished appendix A1.
13
Unpublished appendix A3 offers direct comparisons of the REGB and REGI treatments relative to the REG
treatment.

15

>$7.00

Value Decreasing Conversions

Value Increasing Conversions
50%

50%

25%

25%

0%

0%
<$3.00

$3.00-$4.39 $4.40-$4.99 $5.00-$5.59 $5.60-$6.99

VIC-FT

>$7.00

<$3.00

$3.00-$4.39 $4.40-$4.99 $5.00-$5.59 $5.60-$6.99

VDC-FT

VIC-REGI*

VDC-REGI*

Figure 4. Conversion Error Rates, REGI* treatment Relative to REG and FT Treatments

In contrast, in the case of a value-decreasing conversion, inaction bias improves the
relative performance of a regulator based triggering rule. As seen in the right panel of Figure 3,
the VDC-REGB treatment cuts the incidence of undesirable conversions in the $5.00-$5.59 range
of fundamental realizations by roughly two-thirds relative to the VDC-FT treatment. This
reduction in conversion error rates for market fundamentals just above $5.00 comes at the cost of
some increase in the incidence of forgone socially desirable conversions for market fundamentals
in the $4.40-$4.99 range. Nevertheless, both the overall incidence of errors and the incidence of
errors of commission are considerably lower in the VDC-REGB treatment than in the VDC-FT
treatment
Consider now the REGI treatment. Here, our primary interest regards the indirect market
response to monitors probabilistically knowing the underlying fundamental, because the direct
effects of such information must necessarily reduce the incidence of conversion errors. We
evaluate these indirect effects by examining the incidence of conversion errors in the periods
where the market fundamental was not revealed to monitors. Figure 4 illustrates the incidence of
conversion errors in these ‘REGI*’ periods relative to the FT regime. Looking first at the case of
value-increasing conversions, observe that here the market response to monitors possibly
knowing the market fundamental significantly undermines the accuracy of a regulator-based
trigger mechanism when monitors are not in fact informed. Compared to the FT regime, the
incidence of conversion errors in the REGI* periods is convincingly worse. Except for the
$4.40-$4.99 range, where conversion error rates for the two treatments are quite similar,
conversion errors occur with a markedly higher frequency in the REGI* periods than in the FT
treatment. In the case of a value-decreasing conversion, errors are confined to the $5.00-$5.59
16

>$7.00

Value Decreasing Conversions

Value Increasing Conversions
50%

50%

25%

25%

0%

0%
<$3.00

$3.00-$4.39 $4.40-$4.99 $5.00-$5.59 $5.60-$6.99

VIC-FT

>$7.00

<$3.00

$3.00-$4.39 $4.40-$4.99 $5.00-$5.59 $5.60-$6.99

VDC-FT

VIC-REGI

>$7.00

VDC-REGI

Figure 5. Conversion Error Rates, REGI treatment Relative to the FT Treatments
range of fundamentals in the REGI* periods and roughly parallel the incidence of conversion
errors in the FT treatment. The failure of probabilistically providing information to monitors to
clarify traders’ pricing incentives was something of a surprise to us, because we expected that the
possibility of such information would temper traders’ tendencies to pessimistically incorporate
the value of a conversion for market fundamentals slightly above $5.00. This did not occur to
any important extent. Nevertheless, the market response to monitors probabilistically knowing
the market fundamental does nothing to undermine the accuracy of the regulator regime relative
to the FT regime in the case of a value-decreasing conversion.
The overall incidence of conversion errors in the REGI treatment, shown as the black
bars in Figure 5, combines the necessarily ameliorative direct effects of informed monitors with
the indirect market responses reflected in the REGI* periods and allows assessment of the net
effect of probabilistically revealing the market fundamental to monitors. As seen in the left
panel of the figure, in the case of value-increasing conversions, the direct effects of informed
monitors, which scale down the overall incidence of conversion errors, are importantly offset by
the increased range of fundamentals for which conversion errors occur. Thus, while the overall
incidence of errors in the REGI-VIC treatment is not noticeably higher than in the FT-VIC
counterpart, the increased dispersion in errors causes monitors in the REGI-VIC treatment to both
err more frequently when the market fundamental is not close to the $5.00 cutoff and to commit
more ‘type II’ errors of commission (socially undesirable conversions).
On the other hand, as seen in the right panel, in the case of a value-decreasing conversion
incorporation of the direct effects of market information on conversion errors makes the
regulator in the REGI-VDC treatment unquestionably superior to the FT-VDC counterpart.

17

4.2 Analysis. As the above overview suggests, an assessment of the relative merits of
alternative triggering mechanisms in terms of conversion error rates involves comparisons across
multiple dimensions. To quantify the relative merits of the alternative triggering rules, we offer
four bases for comparison. First, and perhaps most obviously, we compare the overall incidence
of conversion errors across triggering mechanisms. Second, following McDonald’s suggestion
that socially undesirable conversions (e.g., errors of commission) are generally more problematic
than failures to convert, we evaluate the incidence of conversion errors for market fundamentals
$5.00 and above. Third, we consider the extent to which a triggering mechanism facilitates the
discovery of the market fundamental via the trading process by evaluating the incidence of
conversion errors in the ranges $0.60 below and $0.60 above the $5.00 efficient conversion
cutoff. Finally and fourth, we consider the extent to which a triggering rule results in ‘gross’
errors, or errors for fundamentals that deviate by more the $0.60 from $5.00.
A series of simple bivariate linear probability regressions allows evaluation of
performance in terms of these four criteria. 14 Labelling the six fundamental ranges <$3.00,
$3.00-$4.39, $4.40-$4.99, $5.00-$5.59, $5.60-$6.99, and >$7.00 alphabetically as ‘a’, ‘b’, ‘c’,
‘d’, ‘e’, and ‘f’, respectively, we assess the relative performance of a regulator treatment (REG,
REGB, or REGI) relative to the FT treatment by estimating the incremental effect of the regulator
treatment relative to the FT reference. To assess the effect of a regulator treatment relative to the
fixed trigger overall, a first regression estimates the incremental effect of the regulator treatment
relative to the fixed-trigger rule for all fundamental ranges ‘a’ though ‘f’ combined. A second
regression assesses the incremental effect of a regulator treatment on the incidence of socially
undesirable errors by restricting the set of observations to those where the market fundamental
exceeds $5.00, or is in the ‘d’, ‘e’, and ‘f’ ranges. Similarly, a third regression assesses the
incremental effect of the regulator triggering mechanism on traders’ capacities to learn via the
act of trading the location of the market fundamental relative to the $5.00 efficient conversion
cutoff by restricting the set of observations to market fundamentals in the ‘c’ and ‘d’ ranges. The
fourth set of regressions estimate the incremental effect of the regulator triggering mechanism on
the incidence of ‘gross’ errors where market fundamentals are in the ranges below $4.39 or
above $5.60, the ‘a, ‘b’, ‘e’, and ‘f’ ranges. All regressions use the monitor as the unit of

14

We report linear probability estimates for expositional ease. Comparable probit regression estimates, which are
reported in unpublished appendix A4, yield substantially identical results.

18

observation, and to control for repeated measures on monitors, we model them as random
effects. 15 Further, to control for possible correlations across monitors within markets we cluster
data by markets. 16
Baseline Comparisons. Table 3 summarizes the performance of previously reported REG
markets relative to those using a fixed-trigger mechanism. Looking at estimates for the valueincreasing conversion rule, shown in the left panel, observe that the small and statistically
insignificant coefficient estimate on βREG suggests no overall difference between the fixed-trigger
and regulator regimes. The REG and FT triggering mechanisms are further indistinguishable
under a value-increasing conversion rule in terms of facilitating discovery of the market
fundamental or on the incidence of ‘gross’ errors, as indicated by the statistically insignificant
coefficient estimates on βREG- cd and βFT-abef , respectively. The baseline REG markets, however,
do raise the incidence of type II errors over the FT markets by roughly 14% as indicated by the
coefficient estimate on βREG- def (p<.01).
On the other hand, in the case of a value-decreasing conversion, the regulator rule
outperforms the fixed trigger in most dimensions: The REG markets reduce the overall incidence
of conversion errors, βREG = - 6% (p<0.05), the incidence of type II errors βREG- def = - 13%
(p<0.01) and helps with the discovery of the market fundamental βREG- cd =- 14% (p<0.05). The
regulator-based trigger does suffer relative to the fixed-trigger rule in the sense that it generates
more ‘gross’ errors βFT-abef =3% (p<0.10). We summarize these outcomes into the following first
result.

15

In the fixed trigger sessions, each market is treated as a single monitor.
As mentioned in note 10, in an unpublished results appendix (tables A2.1 to A2.3) we follow this same general
method to evaluate trading efficiencies, with three differences. First, for both the fixed trigger and regulator
markets, the market is the unit of observation, so we model the error term to treat markets as a random effect.
Second, trading efficiencies are generated prior to the implementation of conversion decisions, so there is no
difference between REGI*” and REGI sessions. Third, when evaluating efficiency performance the ‘def’ range (e.g.,
errors of commission) loses its interpretation (e.g., as tracking errors of commission) and for that reason is dropped.
Trading efficiency results echo in all respects the conversion error frequency results reported in the text.
16

19

Table 3. Conversion Error Rate Comparisons for REG relative to FT (Percentages)
VIC
***

β0
βREG

17
(4)
2
(5)

3
(3)

VDC
***

33
(10)

6
(0.03)

***

13
(2)
-6**
(2)

14***
(4)

βREG-def
βREG-cd

***

27
(4)

10.36***
234

0
(0)

-14**
(6)

7
(12)

0.15
510

0.33 ***
(5)

-13***
(5)

βREG-abef
Wald χ2
N

*

0.36
156

3
(4)
0.59
354

5.15**
510

7.2**
234

6.17**
158

3*
(2)
3.35*
354

Key: ***, **, * denote rejection of the null hypothesis at p<0.01, p<0.05 and p<0.10 respective (two-tailed tests).

Result 1. Comparing fixed-trigger and regulator-based triggering mechanisms in a baseline
environment, the evidence, while mixed, suggests that the relative performance of alternative
triggering rules is sensitive to the conversion rule. In the case of a value-increasing conversion,
the FT and REG triggering rules perform similarly, except that the regulator based mechanism
generates significantly more socially undesirable conversions. In the case of a value-decreasing
conversion, the fixed trigger is inferior to the regulator-based mechanism in all respects except
for a relatively small increase in the incidence of ‘gross’ errors.
Inaction Bias. Table 4, formatted in a manner similar to Table 3, evaluates the effects of
inaction bias by estimating results for the REGB treatment relative to the FT regime. As can be
seen in Table 4, a bias against action makes the comparison of the REG and FT treatments more
unambiguously dependent on the conversion type. In the case of a value-increasing conversion,
the regulator-based regime raises the overall incidence of conversion errors, βREGB =11%
(p<0.10) and the incidence of ‘gross’ errors, βREGB-abef= 14% (p<0.01). On the other hand, in the
case of value-decreasing conversion, inaction bias makes the regulator-based rule a clearly
superior alternative. Incentives inducing inaction eliminate the incidence of ‘gross’ errors in a
regulator regime (e.g., errors outside the ‘c’ and ‘d’ ranges), making the REGB-VDC and FTVDC treatments identical in this respect. In the other three dimensions, the regulator regime
results in fewer errors overall βREGB =-6% (p<0.10), fewer socially undesirable conversion βREGBdef

=-18% (p<0.01), and reduced fewer errors when the market fundamental is close to the $5.00

cutoff βREGB-cd =14% (p<0.10).
20

Table 4. Conversion Error Rates Comparisons of REGB relative to FT (Percentages)
VIC
VDC
***
***
*
***
17
3
33
6
13
27***
33***
†
β0
(4)
(3)
(10)
(3)
(2)
(4)
(5)
*
*
11
-6
βREGB
(6)
(3)
6
-18***
βREGB-def
(5)
(4)
6
-14*
βREGB-cd
(11)
(8)
***
14
†
βREGB-abef
(6)
2
*
Wald χ
3.03
1.21
0.24
6.11***
3.34*
17.45***
3.22*
N
240
120
96
144
240
120
96
Key: ***, **, * denote rejection of the null hypothesis at p<0.01, p<0.05 and p<0.10 respective (two-tailed tests). †No
observations

These results allow statement of a second result.
Result 2: The addition of incentives that bias monitors against making conversions weakens
the performance of a regulator based trigger under a value-increasing conversion rule but
strengthens it under a value-decreasing rule. The incremental effects of inaction bias leave a
regulator-based trigger rule inferior to a fixed-trigger rule in the case of a value-increasing
conversion, but superior to a fixed-trigger rule in the case of a value-decreasing conversion.
Non-Market Information. Table 5 reports evidence regarding the indirect effects of
probabilistically revealing the market fundamental to monitors by estimating incremental error
rates in the uninformed REGI* periods relative to the FT regime. As shown on the right side of
the table, in the case of a value-increasing conversion, the indirect effects of probabilistically
informed monitors unquestionably weakens a regulator based triggering rule relative to a fixedtrigger mechanism. Over the four dimensions we evaluate, the regulator makes between 11%
and 24% more errors in the REGI* periods than does a fixed trigger, with the differences
significant at p<0.01 in all cases but one. In contrast in the case of a value-decreasing
conversion, the accuracy of a regulator in the REGI* periods is statistically indistinguishable
from a fixed-trigger rule in all dimensions.

21

Table 5. Conversion Error Rate Comparisons of REGI* Relative to FT (Percentages)
VIC
VDC
β0

17***
(4)
13 **
(5)

βREGI*
βREGI*-def

3
(3)

33***
(10)

6*
(3)

13***
(2)
-2
(03)

24 ***
(4)

βREGI*-cd

27***
(4)

βREGI*-abef
6.1*
150

30.8***
78

†

-3
(7)
11
(12)

Wald χ2
N

.33***
(5)

0.83
60

-6
(7)

15***
(5)
9.94***
90

†
0.58
150

0.18
72

0.57
60

Key: ***, **, * denote rejection of the null hypothesis at p<0.01, p<0.05 and p<0.10 respective (two-tailed tests). †No
observations.

Table 6 summarizes the overall incremental effects of a regulator based rule in the REGI
treatment relative to a fixed-trigger mechanism. In the case of a value-increasing conversion
results suggest that the market response to probabilistically revealing the market fundamental to
monitors very considerably undermines the ameliorative effects of monitors actually knowing
the fundamental. The ‘regulators’ (monitors) who actually know the market fundamental in onehalf of the periods fail to significantly outperform the fixed-trigger mechanism in any dimension
and generate significantly higher incidences of socially undesirable conversions (βREGI-def =11%,
p<0.01) and ‘gross’ errors (βREGI-abef =7%, p<0.10). In contrast, given a value-decreasing
conversion, relatively weak indirect effects leave a regulator rule significantly superior to the
fixed-trigger regime in the three dimensions where they differ, a reduced overall rate of
conversion errors, βREGI =-8% (p<0.01), a lower incidence of socially undesirable conversions,
βREGI-def =-16% (p<0.01), and a lower incidence of ‘close’ errors, βREGI-cd =-19% ( p<0.05).
We summarize these observations as the third and final result
Result 3: In the case of a value-increasing conversion, the indirect effects of probabilistically
revealing the market fundamental to monitors sharply undermine the benefits of monitors
actually knowing the fundamental. On balance a regulator based mechanism is inferior to a
fixed-trigger rule in this case. In the case of a value-decreasing conversion, indirect effects are

22

Table 6. Conversion Error Rate Comparisons of REGI relative to FT (Percentages)
VIC
VDC
***
***
7
3
33
6
13
27
33***
β0
(4)
(3)
(10)
(3)
(2)
(4)
(5)
***
0
-8
βREGI
(5)
(2)
***
11
-16***
βREGI-def
(4)
(5)
-11
-19***
βREGI-cd
(11)
(6)
*
7
βREGI-abef
(4)
2
***
Wald χ
0
8.8
1.09
3.36*
11.67***
11.62*** 11.59***
N
240
120
96
144
240
120
96

†

†

Key: ***, **, * denote rejection of the null hypothesis at p<0.01, p<0.05 and p<0.10 respective (two-tailed tests). †No
observations

less pronounced, and on balance a regulator based rule is significantly more accurate than a
fixed trigger.
Our finding that, in the case of a value-increasing conversion, error rates for the REGI
treatment remain in some critical respects higher than in the FT regime merits additional
comment. As discussed above in section 3, in this case the possibility of monitors knowing the
underlying fundamental may well reduce the informational content of prices, as traders, now less
reluctant to incorporate the value of a conversion into their trading prices, generate prices in the
ambiguous $5.00 - $6.99 range with an increased frequency.
The mean price deviations for the FT, REG, and REGI treatments from the ex post efficient
price, shown in Figure 6, illustrates the effects of probabilistically provided monitor information
on trading prices. In the FT treatment, traders, concerned about not triggering a conversion
tended to be very reticent about incorporating the value of a conversion into their prices. Traders
in the REG treatment, similarly concerned about not sending an ambiguous price signal to
monitors, priced in a manner almost identical to their FT treatment counterparts on average.

23

Figure 6. Mean Price Deviations from the Ex Post Efficient Price for the FT, REG, and REGI
Treatments, Value-Increasing Conversion Condition
However, in the REGI treatment, knowing that the monitor was informed in half of the
periods, traders were much more eager to incorporate the value of the conversion into prices. As
a consequence, in those periods where monitors were not shown the underlying fundamental the
range of effectively ambiguous prices was higher than in the REG treatment. 17
4. Conclusion
CoCo’s have justifiably received a great deal of attention as a potentially important tool
for improving the stability of systemically significant financial institutions. An important
unresolved issue regarding the implementation of CoCo bonds regards the identification of an
efficient and accurate triggering mechanism.
Many academic proposals suggest that CoCo’s be structured as a combination of a
sharply dilutive conversion rule along with a mechanistic ‘fixed’ trigger. A value-decreasing
conversion rule provides incentives for bank managers to temper the riskiness of their loan
portfolios. A fixed triggering condition offers increased certainty in the timing and magnitude of
17

Note finally the deviation above the ex post efficient value for fundamentals in the $5.00-$5.59 range. Evidently
the increased propensity for monitors to make decisions to convert for prices between $5.60 and $6.99 encouraged
some traders to partially price in the value of a conversion, even when a conversion was not socially efficient.

24

a conversion relative to a regulator-based mechanism, and is less susceptible to manipulation.
Neither of these proposed conditions are uncontroversial. Management, sensitive to the wellbeing of equity owners will be reluctant to issue bonds that have the potential to dilute equity
value. Despite their certainty of implementation, mechanistic price-based triggering conditions
preclude the incorporation of non-market information.
Theoretical work establishes that both of the leading candidate price-based triggering
mechanisms are imperfect in the sense that ranges of fundamental realizations exist for which the
market cannot be expected to generate reliable information whether or not a conversion will be
socially desirable. For this reason, the selection of a trigger mechanism is an empirical issue.
Due to their recent novelty, however, no naturally occurring evidence exists to guide policymakers in their mechanism choice.
This paper reports a laboratory market experiment conducted to evaluate the relative
performance of fixed and regulator-based triggering mechanisms. In particular, we examine the
relative performance of these mechanisms in environments enriched to examine the effects of
two modifications that may affect the relative accuracy of the alternative mechanisms. One
modification changes regulator incentives to bias them against making conversion decisions. The
second modification probabilistically gives regulators their own signal about the underlying
fundamental. Our experimental results suggest that the relative superiority of a price-based
triggering mechanism is sensitive to the conversion rule. In the case of a value-increasing
conversion, a fixed trigger outperforms a regulator-based mechanism. A bias toward inaction
strengthens this result, and the possibility that the regulator possesses non-market information
does not undermine it. On the other hand in the case of a value-decreasing conversion, the
discretionary regulator outperforms a fixed trigger rule, and both biased incentives toward
inaction and the possibility that monitors know the market fundamental strengthen the relative
performance of the discretionary regulator.
We share with most economists a bias toward the use of a mechanistic triggering rule,
since such a rule helps solve regulator commitment problems. However, our results should be
interpreted as providing evidence on a different aspect of a bias toward inaction, namely, how
such a bias affects the transmission of price information. In the case a dilutive conversion rule is
not practically implementable, the use of a fixed price triggering mechanism takes on particular
importance. On the other hand, if a dilutive conversion rule is in place, the use of a mechanistic
25

triggering mechanism may be less important. In natural contexts, regulators may certainly be
subject to external pressures distinct from those evaluated here, and other types of informational
issues may affect monitor decisions (such as the potential for information manipulation by the
regulated). Nevertheless, in the environments studied here, given a dilutive conversion rule, a
regulator-based triggering mechanism not only does not suffer relative to a fixed trigger, but it
exhibits superior performance.

26

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