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MAFC Research Paper 33: Model-Based Stress Tests: Linking Stress Tests to VaR for Market Risk
(Elizabeth Sheedy, Carol Alexander)
Under the new capital accord stress tests are to be included in market risk regulatory
capital calculations. This development necessitates a coherent and objective framework
for stress testing portfolios exposed to market risk. Following recent criticism of stress
testing methods our tests are conducted in the context of risk models, building on the VaR
literature.
First, to identify the most suitable risk models for stress testing, we apply an
extensive back testing procedure that focuses on extreme market movements. We consider
eight possible risk models including both conditional and unconditional models and four
possible return distributions (normal, Student’s t, empirical and normal mixture) applied
to three heavily traded currency pairs using a sample of daily data spanning more than
20 years. Finding that risk models accommodating both volatility clustering and heavy
tails are the most accurate predictors of extreme returns, we develop a corresponding
model-based stress testing methodology. Our results are compared with traditional stress
tests and we assess the implications for capital adequacy. On the basis of our results we
conclude that the new recommendations for market risk regulatory capital calculation will
have little impact on current levels of foreign exchange regulatory capital.
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Paper33.pdf |
MAFC Research Paper 32: Pricing Average Rate Options in Jump-Diffusion Models
(Catriona March)
This paper compares two methods for pricing average rate options in
jump-diffusion models when the average is a discrete arithmetic average with
flexible weights.
The first method extends Posner and Milevsky (1998) to jump-diffusion models:
a Johnson variable is found that matches the first
four moments of the arithmetic average; this leads to an analytical approximation for the average rate option price.
This method has been found to be extremely accurate as well as instantaneously fast when modelling asset prices as a geometric Brownian motion.
In the second method, Fourier transforms are used to obtain closed form pricing for the equivalent geometric average option.
This is used as an effective control variate to price the original arithmetic average rate option using Monte Carlo simulation.
The Johnson variable approximation is fast and gives accurate prices when the jumps are not too large or skewed.
However for parameters consistent with some observed implied volatility smiles, the approximation is less accurate.
Our results suggest it is necessary to match six moments to ensure enough of the distribution of the average is captured to obtain a satisfactory approximation.
Although slower, the simulation method is still quite fast and consistently gives accurate results.
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Paper32.pdf |
MAFC Research Paper 31: Is the Sharpe Ratio Useful in Asset Allocation?
(Steve Christie)
Investors often consider Sharpe ratios when making asset allocation
decisions and comparing portfolios. Given sampling error in estimated means
and variances of returns, promoting Sharpe ratios as useful to help choose
between asset allocations or portfolios may be misleading.
Estimators of the Sharpe ratio have less helpful distributions than
estimators of mean and variance. The error in the estimate of the Sharpe ratio can be simply too large to make useful conclusions.
Investors are often overly swayed by historical performance in making investment decisions: why make matters worse by obscuring what
information we have by combining past performance characteristics in an unhelpful ratio?
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Paper31.pdf |
MAFC Research Paper 30: Strategic and Tactical Asset Allocation in the Presence of Sampling Error
(Steve Christie)
Practitioners have long struggled with the sampling error inherent in
estimating means, variances and co-variances of returns used in
mean-variance optimizers. Accordingly, it has been argued that the efficient
frontier is really an efficient "fuzzy region" of groups of statistically
equivalent portfolios.
The implication of this view is that it can be
difficult to distinguish between alternative strategic asset allocation benchmarks and to determine whether
or not rebalancing portfolios or making tactical asset allocation tilts is statistically meaningful.
This paper develops more powerful tests to show
that small changes in asset allocation weights are often statistically significant, challenging those views. |
Paper30.pdf |
MAFC Research Paper 29: Bank Charter Value and Risk Taking: Evidence
From Australian Banks
(Anne Bigg)
Maintaining financial sector stability is a primary function for banking
regulators. Regulation, for example, through setting of capital standards,
is believed to reduce financial sector instability.
However, regulatory intervention may
also create distorted incentives for banks (refer Gennotte and
Pyle (1991)). The provision of safety nets to the banking sector
is a clear example. Protection provisions mitigate the cost of
risk-taking normally borne by risky firms. In the standard model
of bank moral hazard banks can increase shareholder wealth by
taking on more risk.
Empirical studies suggest banks shift risk to safety net
providers but fail to maximise the value of any (explicit or
implicit) subsidy. Other factors act to mitigate the extent to
which banks are able, or willing, to transfer wealth from the
regulator to themselves.
One factor that may deter risk-taking behaviour is bank charter
value. We examine the effectiveness of bank charter value as a
deterrent to risk-taking in the Australian context. We find
Australian banks exhibit strong, positive charter value over the
period reviewed. However, charter value is found to be,
generally, an ineffective deterrent to moral hazard induced
risk-taking. Support for the hypothesis that capitalisation
levels affect the risk/charter value relationship is found. |
Paper29.pdf |
MAFC Research Paper 28: Violations of Uncovered Interest Parity: Are They Widespread, and Are They a Money Tree?
(Brad Jones)
This study contributes to the literature by casting a wider net
in, and adopting a novel approach to, examining violations of
uncovered interest parity (UIP). Relative to its
predecessors, the analysis presented in this paper is based on a
larger number of exchange rates and a wider range of tests.
It also includes a simple real-world trading experiment assessing whether
strategies designed to exploit the breakdown of UIP have been profitable.The
study reveals a host of intriguing results, based largely on cross exchange
rates not previously examined in this context. First, forward rates of
industrialized countries are unambiguously biased predictors of future spot
rates, as spot rates invariably change less than the amount of the forward
spread. This indicates violations of UIP are ubiquitous and not simply
restricted to the key currency blocks which have already been studied.
Second, contrary to popular belief, the forward ‘puzzle’ anomaly – where
high yielding currencies appreciate, not depreciate as UIP predicts - is not
a pervasive phenomenon. Third, regression results and the trading experiment
demonstrate that deviations from UIP are both size and time dependent. For
instance, during points in time where interest differentials have been
relatively large, UIP correctly predicts the sign, but not the magnitude, of
exchange rate changes.
More recently, the breakdown of
UIP has become increasingly severe as interest differentials have converged
around the world. Finally, results from the trading experiment demonstrate
that in contrast to US dollar based findings presented in earlier studies,
strategies exploiting the forward bias have in fact been something of a
money tree - deviations from UIP have been large and consistent enough to
generate impressive profits and risk-return tradeoffs for simple
multi-currency trading strategies. |
Paper28.pdf |
MAFC Research Paper 27: Hedge Funds: An Alternative Test of Manager Skill
(Ross Barry)
Most studies of hedge funds have
reported high returns, on average, over the past 5-10 years.
Much consideration is now being given to whether these
historical returns are a good representation of the true
long-run return to hedge funds.
This research is limited by the relatively short
history of reliable data and the reliance on classical statistical tests
that rely, in turn, on the assumption of normal returns and linear
parameters. This paper develops an alternative test for hedge fund skill
that addresses these shortcomings. I set up a multi-factor generalized
method of moments (GMM) test and then introduce information to condition
this test for the possibility that betas rise in bear market conditions. The
test confirms the presence of a significant long-run hedge fund manager
skill premium which, for most strategies, is robust to underlying market
conditions. |
Paper27.pdf |
MAFC Research Paper 26: Do Momentum Traders Profit from Central Bank
Intervention in Australia?
(Brad Jones)
This paper investigates the relationship between momentum based trading
profits and intervention by the Reserve Bank of Australia (RBA) in the US
dollar - Australian dollar ($US/$A) market.
The study distinguishes itself from its predecessors by paying particular
attention to the mechanism driving the contemporaneous relationship between
intervention and trading rule returns, in a market which has received
virtually no attention in this context. In addition, by assessing the
profitability of trading rule returns in several clearly defined phases of
RBA intervention policy, a more comprehensive analysis of this relationship
is possible relative to that reported in studies of other central banks.
The results demonstrate that
whilst a simple momentum trading rule is largely unprofitable in the absence
of RBA intervention, it generates very attractive returns when taking
positions in the opposite direction to the RBA during periods of
intervention. The most profitable opportunities occur when the RBA attempts
to smooth or correct a strong trend in the $A (particularly an aggressive
depreciation) over successive days. This may suggest that on occasions where
the RBA ‘leans against the wind’, public resources are lost to
trend-following speculators. However it is not immediately obvious that the
RBA would be particularly concerned with taking a loss on its short-term
intervention activities. |
Paper26.pdf |
MAFC Research Paper 25: Hedge Funds: A Walk Through the Graveyard
(Ross Barry)
Prior research has identified a number of biases in hedge fund
databases, notably due to survivorship and selective backfilling
of returns. This study finds that survivorship bias in hedge
funds has risen in recent years to almost 4% p.a. This is due
mainly to higher attrition among managed futures,
fixed income arbitrage and some equity hedge (technology) funds, although
prior estimates of ‘instant history’ bias however, are greatly
exaggerated.We extend on prior research by examining the impact of
survivorship on higher moments of the distribution of hedge fund returns
(volatility, skew and kurtosis) and across different hedge fund style
groups. We also consider probable causes of death after trawling the
extensive TASS ‘notes’ fields maintained in the TASS database for over 1000
defunct funds, referred to affectionately by TASS as “the graveyard”. We
argue that many funds actually close themselves down when their net asset
value drifts well below their previous high watermark for incentive fees. We
also find sudden short-term losses are more likely to lead to termination
than poor returns or high volatility per se. There is little evidence that
hedge fund death is related to leverage, the extent of trading discretion,
or whether or not managers are personally invested. We do however, find a
significantly higher incidence of death among funds that use
technical/trend-following processes. |
Paper25.pdf |
MAFC Research Paper 24: Is ARCH useful in High Frequency Foreign
Exchange applications?
(Brad
Jones)
This study investigates the issue of whether standard time
series models are useful in high frequency foreign exchange
applications from two perspectives: A Monte Carlo procedure and
a range of standard ARCH models.
Firstly, the Monte Carlo procedure demonstrates
that the unconditional distribution of high frequency foreign exchange
returns cannot be approximated by the unconditional distribution of returns
simulated by autoregressive conditional heteroskedastic (ARCH) processes.
Secondly, a range of standard ARCH models are shown to produce accurate
forecasts of realized daily variance when frequently sampled data is used to
generate and appraise variance forecasts. This appears to be an artefact of
the noise inherent in using the daily squared return as an estimator of
realized daily variance. In short, this paper demonstrates that whilst
standard econometric models do not capture the intraday foreign exchange
return generating process, this should not immediately preclude these models
from high frequency applications. Instead, the forecasting exercise
demonstrates practical benefits are easily attainable from using high
frequency data to develop and evaluate existing asset pricing models. |
Paper24.pdf |
MAFC Research Paper 23: Corporate Use of Derivatives in Hong Kong and Singapore: A Survey
(Elizabeth Sheedy)
This survey of corporate risk management practice in Hong Kong and Singapore
examines the use of derivatives and the oversight of risk management
programs in 131 firms. The survey format is the same as that used previously
by the Wharton School in its survey of US non-financial corporations, thus
allowing for cross-country comparisons.
The analysis finds very little difference in risk
management practice between Hong Kong and Singapore. When these two Asian
centres are compared with the United States, the survey highlights that a
higher proportion of firms in Hong Kong and Singapore use derivatives and
they do so with greater intensity. The reason for the popularity of
derivatives may be that firms in both countries have a high proportion of
revenues and costs denominated in foreign currency and they often have
significant foreign currency borrowings. Firms in Hong Kong and Singapore
are more likely than their US counterparts to use selective or active
hedging strategies based on market views. Therefore it is worrying to note
some significant gaps in the oversight of risk management in these firms,
especially in relation to reporting and valuation of derivatives. This
tendency to mix risk management with "speculation" runs counter to the
efficient markets literature. The survey finds that only a minority of firms
in Hong Kong and Singapore have implemented risk-adjusted performance
measurement for treasury so it is unclear whether or not their activities
add value for owners.
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Paper23.pdf |
CMBF Paper 22: Applying an Agency Framework to Operational Risk Management
(Elizabeth Sheedy)
Operational risk management is one of the most discussed topics in risk management today.
Much energy is currently devoted to quantifying operational risk as a first step toward its management.
This paper critiques three of the techniques being used for operational risk measurement, concluding that all are flawed.
In the absence of adequate risk measurement techniques, the paper recommends
that financial institutions should instead focus their attention on managing
operational risk using an agency framework. Agency risk can be seen as the
underlying cause of many operational losses. The paper examines several recent
disasters to illustrate this point eg Barings, Orange County, Long-Term Capital
Management and Procter & Gamble/Bankers Trust. Agency theory helps to identify
situations where such losses are most likely to occur and also suggests
improvements to organisational structure to minimise the possibility of losses.
The paper also briefly considers the importance of character in operational risk
management. |
Paper22.pdf |
CMBF Paper 21: Risk-shifting Behaviour of Australian Banks 1992-1997.
(Anne Bigg)
The provision of explicit or implicit safety nets in banking, such as deposit insurance,
provides banks with an incentive to take-on more risk and potentially expropriate
wealth from the safety net provider.
Banking regulators and governments, as the ultimate payee for any resulting contingent liability,
are concerned about the extent to which banks take advantage of mis-priced deposit insurance provisions,
and whether outside discipline is sufficient to offset risk-shifting incentives. In this paper, we use share
price data to estimate the value and volatiltity of assets of ten Australian banks and any arising contingent claim over
a recent time period. A potential bias in risk-shifting results is eliminated by testing for risk-shifting with respect to the
two components of banking risk, asset risk and leverage risk. We find that while forces do act to mitigate risk-taking incentives,
they are insufficent to prevent individual banks extracting a benefit over the
period considered. Results also indicate the regional bank group in the sample
extracted the greater benefit from the subsidy.
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Paper21.pdf |
CMBF Paper 20: Further Analysis of Portfolios with Options.
(Elizabeth Sheedy & Rob Trevor)
This paper further examines the problems of risk measurement for
option-affected portfolios ( see CMBF Paper No. 13, Evaluating the Performance
of Portfolios with Options). It extends the previous analysis of portfolios in a
world of constant variance, to also consider a world where the risk of the
underlying assets is changing. |
Paper20.pdf |
CMBF Paper 19: Pricing Options Under Generalised GARCH and Stochastic Volatility Processes.
(Peter Ritchken & Rob Trevor)
While the theory of pricing options under fairly general GARCH processes is now understood,
the design of efficient numerical procedures for pricing them is lacking.
Researchers rely on large simulation methods to handle the complexity induced by the massive
path dependence inherent in GARCH models. In this paper, we develop an efficient lattice algorithm to price European
and American options under discrete time GARCH processes. We show that this algorithm is easily extended to price options
under generalized GARCH processes, with many of the existing stochastic volatility bivariate diffusion models appearing as limiting cases.
We establish one unifying algorithm that can price options under almost all existing
GARCH specifications as well as under a large family of bivariate diffusions in which volatility follows its own, perhaps correlated, process.
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Paper19.pdf |
CMBF Paper 18: Limit Moves as Censored Observations of Equilibrium Futures Price in GARCH Processes.
(Ieuan Morgan & Rob Trevor)
We develop and evaluate an algorithm for estimating GARCH models for time series containing
some censored observations. Motivation for the algorithm comes from certain futures market
contracts and some equity markets with price limits which constrain the maximum allowable
movement in price on a given trading day.
Researchers rely on large simulation methods to handle the complexity induced by the massive
When a limit is reached trading stops and the equilibrium price is not observed. The statistical problem is
to maximize the likelihood function by replacing the unobservable squared error terms with their expected values.
We evaluate the performance of the algorithm by extensive simulation and apply it to Treasury bill futures
data from a period of high volatility and frequent limit moves. |
Paper18.pdf |
CMBF Paper 17: Correlation in International Equity and Currency Market: A Risk Adjusted Perspective.
(Elizabeth Sheedy)
The study finds that multivariate specifications designed to capture co-movements in volatility and changes
in correlation are of dubious value. More parsimonious specifications generally
perform best, provided that they capture volatility clustering.
The study also highlights the pitfalls of using the traditional Fixed Window method to estimate variance/covariance for asset allocation decisions.
The implications for asset allocation decisions, hedging decisions and international diversification strategies are examined.
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Paper17.pdf |
CMBF Paper 16: Asia-Pacific Bond Markets.
(David Lynch)
This paper evaluates the economic contribution of Asia-Pacific bond markets.
Government bond markets in the region have great diversity in terms of size, structure and efficiency.
Developed countries liberalised their markets in the early 1980s and most developing countries later followed suit,
to varying degrees.
Corporate bond markets in the region are generally of minor importance, but a widely held view is that they have potential to contribute more to economic development.
The analysis here suggests that efficient bond markets improve the performance of
the financial sector and the economy in several ways.
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Paper16.pdf |
CMBF Paper 15: Asset Allocation Decisions in a World With Changing Risk.
(Elizabeth Sheedy, Robert Trevor and Justin Wood)
Various risk estimation methods have been proposed in response to evidence that risk is changing.
This study investigates the impact of alternative risk estimation methods in the context of asset allocation decisions.
The risk measures considered include the traditional fixed window method, exponential smoothing and GARCH
(in increasing order of complexity).
Our findings confirm that the choice of risk measure can make a significant difference to the efficiency of asset allocation
decisions and therefore to investment outcomes and fund ranking. We find that the traditional fixed window method is rarely
optimal and that exponential smoothing is the most attractive risk estimation method in most cases. However beyond this, added complexity does not
necessarily improve investment efficiency.
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Paper15.pdf |