Test Your Risk Acumen!
Risk Olympics
Derivatives mavens who've spent the summer in front of the tube dreaming of Olympic triumphs need dream no longer. Australia-based Risk Technology
is sponsoring what it calls the first "Risk Olympics" on the Internet.
Prospective competitors need simply point their browsers at http://www.ristek.com.au~ristek and
register. You'll then get a series of multiple-choice questions you must
answer within three days. The questions are designed to test and develop
risk intuition and, the company claims, "can be answered intuitively;
you don't need to be a rocket scientist to win."
The first heat, reproduced below, was faxed to 100 treasury professionals in July. The promoters say the results "demonstrated that risk intuition
is often misleading and that risk holes are more prevalent than commonly
believed. The "correct" answer to most of the questions appeared
obvious-but the obvious was usually wrong. Many seasoned treasury executives
answered fewer than half the questions correctly and may have scored better
by guessing at random. Four participants scored very highly. No one scored
100 percent.
Winners were Mike Shilling of Record Treasury Management, London, who
captured a gold medal, and Chris Plater and Steve Davy of Bankers Trust
Australia, who won the silver and bronze. There's no charge to compete,
but it costs $15 to get a copy of the correct answers and explanations.
Question 1: The humble cash flow
A positive cash flow has a fixed face value. A sensitivity analysis is
performed to measure the increase in its present value from a sudden 1 percent
decrease in yields. The same analysis is performed on a second cash flow,
which is identical in all respects except that it has a longer duration.
Assume a flat yield curve at, say, 10 percent semiannual. The change in
present value of the longer-term cash flow:
A. Is necessarily greater than that of the shorter-term cash flow.
B. Is necessarily less than that of the shorter-term cash flow.
C. May be greater or less than that of the shorter-term cash flow.
D The present values actually decrease, not increase.
Answer: The correct answer is C.
Players' selections
63 percent A, 6 percent B, 23 percent C, 8 percent D.
Question 2: The age of VAR
A risk manager is presented with a value-at-risk (VAR) measure of a complex diversified derivatives portfolio. The VAR is a single statistic intended
to express the maximum one-day loss within a 99 percent confidence limit.
The VAR indicates the potential for loss is too high. The risk manager must
formulate directly an effective hedge or hedges to reduce the portfolio's
market risk exposure.
A. The risk manager can do this simply by knowing the VAR.
B. The asset types, not specific instrument details, in the portfolio
must also be known.
C. The asset types, spot and forward market rates must also be known.
D. The risk manager cannot determine the required hedge(s) given only
the VAR, the relevant asset types and market data.
Answer: The correct answer is D.
Players' selection
6 percent A, 18 percent B, 18 percent C, 58 percent D.
Question 3: Exposed to what?
A corporate enters into a long-term FX forward to hedge a contingent
liability. The hedge may need to be closed and settled at any time. The
present value of the profit or loss on the hedge is, in general, exposed
to:
A. Changes in the spot (exchange) rate only.
B. Changes in the spot rate and the domestic interest rate only.
C. Changes in the spot rate and the interest rates of both currencies
only.
D. Changes in the spot rate, both interest rates as well as time lapse.
E. No market rates once a reverse FX forward with equal face value and
maturity is entered into.
Answer: The best answer is D.
Players' selection
6 percent A, 4 percent B, 18 percent C, 61 percent D, 11 percent E.
Question 4: Is this real?
A trader performs a stress test on an interest-rate-related derivatives
portfolio using uniform yield shifts with time and all other economic parameters
unchanged. The portfolio seems to profit when yields increase. It also appears
to profit when yields decrease.
A. This suggests the net delta is zero and gamma is zero or positive.
B. This suggests the stress analysis software is defective-the result
violates arbitrage theory.
C. This suggests the portfolio will tend to gain value as time lapses.
D. This effect can occur only if options are present in the portfolio.
Answer: The correct answer is A.
Players' selection
45 percent A, 1 percent B, 10 percent C, 44 percent D.
Question 5: Does it matter?
An exporter can use either FX futures or forwards to hedge a long-dated
FX exposure. Both futures and forwards are available with expiries coinciding
with the payment date. Domestic and foreign currency interest rates exceed
10 percent. To achieve near risk equivalence, the face value of the futures
contracts:
A. Should be greater than an equivalent forward contract.
B. Should be less than a forward contract.
C. Should be the same as a forward contract.
D. May be greater or less than a forward, depending on which currency
has the higher interest rate.
Answer: The correct answer is B.
Players' selection
10 percent A, 36 percent B, 30 percent C, 24 percent D.
Question 6: A fundamental thing
The critical dimension, that is, the fundamental unit of measure, of
a simple interest rate is:
A. A unit of the currency of the underlying instrument (for example,
dollars of U.S. dollarbased instruments).
B. It has no dimension; interest rates are dimensionless numbers.
C. 1/Time.
D. Time.
E. Percent.
Answer: The correct answer is C.
Players' selection
4 percent A, 10 percent B, 41 percent C, 17 percent D, 28 percent E.
Question 7: The business of banking
A banker uses interest rate derivatives to manage a fixed rate mortgage
portfolio. The bank's board views exposure management based on rate forecasts
as speculative and prohibits it. A careful stress analysis indicates that
the portfolio contains risk holes; it is exposed to yield curve changes.
The risk manager then formulates and executes a hedge parcel that reduces
market risk exposure significantly. With less market risk the expected or
average profit to the bank:
A. Increases.
B. Decreases, but only by the amount of the hedge parcel transaction
costs.
C. Decreases significantly since less risk means less return.
D. Stays the same.
E. May increase or decrease.
Answer: The correct answer is B.
Players' selection
4 percent A, 38 percent B, 17 percent C, 8 percent D, 33 percent E.
Chase Enters the VAR Wars
A number of dealers have been gearing up to offer clients services based on value-at-risk in recent months, but Chase has entered the field with
what appears to be a distinctly different approach. The bank is developing
pilot projects for CHARISMA, an umbrella term for a new collection of risk
management services and methodologies including products that offer a variety
of alternatives to standard value-at-risk analysis.
Although the CHARISMA (Chase Risk Management Analytics) products emphasize value-at-risk (VAR) techniques, they include stress testing, hedge optimization,
performance evaluation and other statistical analysis. The goal, explains
Chase managing director James MeVay, is to help clients develop the customized
risk management framework appropriate for their unique operations. "We
believe risk management should include a mosaic of different techniques,
and we help our clients find the best methods and combinations of measurements,"
he says.
CHARISMA's approach to VAR, which was developed at Chase for internal
risk management about eight years ago, has a number of attractive features
compared to the variance-covariance methods that have gained popularity
elsewhere. First is the accuracy of its method. Variance-covariance VAR
methods-of which JP Morgan's RiskMetrics is perhaps the best known-generate
a matrix of market factors, standard deviation and correlation estimates.
This matrix is then used to estimate the potential loss of instruments held
and their portfolio groupings at a predetermined confidence level over a
given period of time-that is, VAR. The implicit assumption of this method
is that the market factors are normally distributed, which is usually not
the case. Another weakness of these models is the fact that they can measure
the risk of only those instruments with a linear payout, that is, instruments
that have no optionality.
CHARISMA's methodology, however, uses an historical simulation approach. This means that actual changes in historical values of relevant market factors
are used to determine potential future losses in risk positions and their
portfolios. If you wish to determine the VAR of a position with a 95 percent
confidence level, this approach identifies the loss corresponding to the
95th percentile of potential changes in its market value produced by historical
changes in the corresponding market factor. There is no attempt-in fact,
no need-to define the shape of the distribution, normal or otherwise.
This fact makes it very easy to understand the results of risk evaluation, since risk exposure can be related to specific instruments and their positions,
and to specific market and economic events.
MeVay believes that this historical approach has many advantages. First, it's extremely flexible. "Using the CHARISMA method, you can find a
VAR for almost any exposure, provided that you can assemble enough historical
data," he says. For example, he recalls one client asking if CHARISMA
could handle Turkish lire. After a rapid check of available data sources,
MeVay was able to answer quickly in the affirmative. The implication is
that this method can handle an unlimited number of risk factors, which allows
the practitioner to include those risk exposures that are of greatest importance
for any given situation. This would not be the case with many covariance
approaches, which are limited to a variance-covariance matrix of a certain
size.
Because CHARISMA does not require explicit correlation figures, you eliminate the substantial worry of whether or not your correlation numbers are indeed
a correct representation of actual market behavior. Instead, with CHARISMA,
correlations are effectively embedded into the historical prices of each
instrument in the portfolio. Thus, unlike covariance VAR, CHARISMA/VAR makes
it easy to calculate the risks of individual positions as well as the resulting
portfolio risk when they are aggregated. Says MeVay, "If you are looking
at your portfolio, and let's say you want to add another instrument, all
you really have to do is simply add another column to your spreadsheet."
So, then, is there anything that CHARISMA/VAR can't handle? "Of
course," says MeVay, "if the instrument can't be priced, then
you're going to run into problems. Otherwise, all other instruments can
be included." MeVay is confident that CHARISMA's take on VAR is flexible
enough to handle most client needs without resorting to a lot of assumptions.
"We also emphasize that companies and financial institutions should
not be just looking at VAR," he says. "It is necessary to include
a number of different measurements in order to get a balanced picture of
all your risks." For companies that want a fully comprehensive and
flexible approach to risk management, CHARISMA/VAR is definitely worth a
look.
Research Highlights
Why Index-Collar-Type Hedges May Rebound
Goldman Sachs' equity derivatives group has addressed a recurring problem for portfolio managers: how to weigh the cost of reducing risk with put
and collar-type option hedges. Three years ago Goldman did a study on this
subject, which it replicated for the three-year interval ended in mid-July.
The study focused on hedging costs for the S&P 500 index for a generic
five percent three-month out-of-the-money put option and a zero-premium
collar.
The timing of the new research has been shrewd, insofar as the equity
market drop this summer may cause some institutional investors who've shunned
collar strategies to reconsider. Goldman finds that in the last three years,
a third of the time the collar return cap was breached, while the put floor
was hit only four percent of the time. "Although hedging costs were
low recently because of low index volatility," the report observes,
"they were also not very valuable retrospectively because only in rare
cases were they needed."
This state of affairs could very well change. If the downside frequency
of the S&P 500 reverts to a more normal pattern, Goldman reckons that
put floors would be breached 16 percent of the time, not the actual four
percent for 19931996. The findings support the "idea that the
upside behavior of U.S. equities in 1995 was not nearly as unusual as was
the lack of downside volatility. Therefore, if history is any guide, investors
may find hedging much more valuable in the future than they have in the
past."
Among the firm's institutional clients there is a marked tendency for
a strong interest in hedging to surface after an unusual steep index decline
or rapid market rally that may not be sustained. There is also a seasonal
demand pattern: very few investors are interested in hedging early in the
calendar year. The peak of enthusiasm comes between summer and October.
The study-authored by Joanne M. Hill, Mark Eisner and Todor Mitev-concludes with a look at 1996 costs. It notes that the cost of the generic five percent
OTM three-month put strategy has been at the high end of the last three-year
interval, but below the levels of 19901993-consistent with the index
return volatility that has snapped out of the doldrums of recent years.
This year's cost of an OTM collar, on the other hand, has been consistently
low. The report concludes with the following forecast: "With most investors
expecting stable to rising short-term interest rates, and more modest upside
gains than we saw last year, we can expect these collar-type hedges to gain
favor as risk reduction vehicles in the next year."
Critical Looks at Tactical Asset Allocation
Two recent studies have shed some much-needed light on the effectiveness of tactical asset allocation techniques. According to the theory, using
a tactical asset allocation (TAA) manager should provide better returns
with lower volatility. But a study by pension consultants Rogers Casey suggests
that market conditions have a profound effect on how well the strategy works.
Market conditions since 1988 have not been propitious for TAA, the study concludes. In particular, the low volatility, high correlations and similar
returns from different asset classes make it difficult for TAA managers
to add value. Dramatic underperformance of TAA occurred in the period 19881989.
Rogers Casey consultants Thomas K. Philips, Greg T. Rogers and Robert
E. Capaldi examined the investment results of 11 money managers who collectively
manage over 95 percent of the institutional assets allocated to domestic
TAA strategies. One interesting observation the trio make is that there
is little dampening of volatility. In each of the two time periods, only
one manager of the 11 had volatility at least 100 basis points lower than
its benchmark.
In conclusion, the consultants offer four pearls of wisdom. They suggest that unless there are institutional issues that TAA addresses, plans should
not commit additional assets to TAA. Plans should use TAA as an overlay
strategy to minimize transaction costs, should negotiate performance-based
fees and, perhaps most important, should establish an appropriate passive
benchmark for the program. All in all, the Rogers Casey study is no ringing
endorsement for domestic TAA.
Salomon Brothers' Global Derivatives Review recently made its own study
of the subject and reached the following conclusion: "Other things
being equal, the payoff to an active allocation strategy will increase as
the volatilities of the asset classes increase and their correlation falls.
The ideal environment for a TAA manager is one of significant decoupling
and high volatility-for example, 1987."
The report, entitled "Asset Allocation: Cost and Value," looked at its subject through the prism of option pricing theory and advised clients
that they could get the same results with a spread option that paid the
return differential between two asset classes.
Does size really matter?
US commercial banks are still doing a land-office business in derivatives, according to the latest survey from the Office of the Comptroller of the
Currency. The survey, published on June 10, calculated the total outstandings
to be $17.85 trillion in the first quarter.
Chemical led the list of bank holding companies, followed by JP Morgan,
Citicorp, Bankers Trust, BankAmerica and NationsBank. The survey also broke
down exposures at individual banks by the maturity of their interest rate
and FX contracts. Trading revenues from derivatives totalled $2 billion
in the first quarter, of which fully one third was attributable to Morgan
Guaranty. It made $637 million, compared to the next best of $281 million
at Citibank.
Another recent survey by the International Swaps and Derivatives Association reported a whopping growth rate in 1995. Overall outstanding transactions
in interest rate swaps, currency swaps and interest rate options were valued
at $17.713 trillion, fully 56.7 percent higher than the $11.303 trillion
at the end of 1994.
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