Dakota Watson and Anthony Smith are bond portfolio managers for Northern Capital Investment Advisors,
which is based in the U.S. Northern Capital has $2,000 million under management, with S950 million of that in
the bond market. Northern Capital's clients are primarily institutional investors such as insurance companies,
foundations, and endowments. Because most clients insist on a margin over the relevant bond benchmark,
Watson and Smith actively manage their bond portfolios, while at the same time trying to minimize tracking
error.
One of the funds that Northern Capital offers invests in emerging market bonds. An excerpt from its prospectus
reveals the following fund objectives and strategies:
“The fund generates a return by constructing a portfolio using all major fixed-income sectors within the Asian
region (except Japan) with a bias towards non-government bonds. The fund makes opportunistic investments
in both investment grade and high yield bonds. Northern Capital analysts seek those bond issues that are
expected to outperform U.S. bonds with similar credit risk, interest rate risk, and liquidity risk-Value is added by
finding those bonds that have been overlooked by other developed world bond funds. The fund favors nondollar, local currency denominated securities to avoid the default risk associated with a lack of hard currency on
the part of issuer."
Although Northern Capital does examine the availability of excess returns in foreign markets by investing
outside the index in these markets, most of its strategies focus on U.S. bonds and spread analysis of them.
Discussing the analysis of spreads in the U.S. bond market, Watson comments on the usefulness of the option
adjusted spread and the swap spread and makes the following statements:
Statement 1: Due to changes in the structure of the primary bond market in the U.S., the option adjusted
spread is increasingly valuable for analyzing the attractiveness of bond investments.
Statement 2: The advantage of the swap spread framework is that investors can compare the relative
attractiveness of fixed-rate and floating-rate bond markets.
Watson's view of the U.S. economy is decidedly bearish. She is concerned that the recent withdrawal of liquidity
from the U.S. financial system will result in a U.S. recession, possibly even a depression. She forecasts that
interest rates in the U.S. will continue to fall as the demand for loanable funds declines with the lack of business
investment. Meanwhile, she believes that the Federal Reserve will continue to keep short-term rates low in
order to stimulate the economy. Although she sees the level of yields declining, she believes that the spread on
risky securities will increase due to the decline in business prospects. She therefore has reallocated her bond
portfolio away from high-yield bonds and towards investment grade bonds.
Smith is less decided about the economy. However, his trading strategy has been quite successful in the past.
As an example of his strategy, he recently sold a 20-year AA-rated $50,000 Mahan Corporation bond with a
7.75% coupon that he had purchased at par. With the proceeds, he then bought a newly issued A-rated Quincy
Corporation bond that offered an 8.25% coupon. By swapping the first bond for the second bond, he enhanced
his annual income, which he considers quite favorable given the declining yields in the market.
Watson has become quite interested in the mortgage market. With the anticipated decline in interest rates, she
expects that the yields on mortgages will decline. As a result, she has reallocated the portion of Northern
Capital's bond portfolio dedicated to mortgages. She has shifted the holdings from 8.50% coupon mortgages to
7.75% coupon mortgages, reasoning that if interest rates do drop, the lower coupon mortgages will rise in price
more than the higher coupon mortgages. She identifies this trade as a structure trade.
Smith is examining the liquidity of three bonds. Their characteristics are listed in the table below:
Which of the following best describes the relative value analysis used in the Northern Capita! Emerging market
Mark Stober, William Robertson, and James McGuire are consultants for a regional pension consultancy. One
of their clients, Richard Smitherspoon, chief investment officer of Quality Car Part Manufacturing, recently
attended a conference on risk management topics for pension plans. Smitherspoon is a conservative manager
who prefers to follow a long-term investment strategy with little portfolio turnover. Smitherspoon has substantial
experience in managing a defined benefit plan but has little experience with risk management issues.
Smitherspoon decides to discuss how Quality can begin implementing risk management techniques with
Stober, Robertson, and McGuire. Quality's risk exposure is evaluated on a quarterly basis.
Before implementing risk management techniques, Smitherspoon expresses confusion regarding some
measures of risk management. "I know beta and standard deviation, but what is all this stuff about convexity,
delta, gamma, and vega?" Stober informs Smitherspoon that delta is the first derivative of the call-stock price
curve, and Robertson adds that gamma is the relationship between how bond prices change with changing time
to maturity.
Smitherspoon is still curious about risk management techniques, and in particular the concept of VAR. He asks,
"What does a daily 5% VAR of $5 million mean? I just get so confused with whether VAR is a measure of
maximum or minimum loss. Just last month, the consultant from MinRisk, a competing consulting firm, told me
it was ‘a measure of maximum loss, which in your case means we are 95% confident that the maximum 1-day
loss is $5.0 million." McGuire states that his definition of VAR is that "VAR is a measure that combines
probabilities over a certain time horizon with dollar amounts, which in your case means that one expects to lose
a minimum $5 million five trading days out of every 100."
Smitherspoon expresses bewilderment at the different methods for determining VAR. "Can't you risk
management types formulate a method that works like calculating a beta? It would be so easy if there were a
method that allowed one to just use mean and standard deviation. I need a VAR that I can get my arms
around."
The next week, Stober visits the headquarters of TopTech, a communications firm. Their CFO is Ralph Long,
who prefers to manage the firm's pension himself because he believes he can time the market and spot
upcoming trends before analysts can. Long also believes that risk measurement for TopTech can be evaluated
annually because of his close attention to the portfolio. Stober calculates TopTech's 95% surplus at risk to be
S500 million for an annual horizon. The expected return on TopTech's asset base (currently at S2 billion) is 5%.
The plan has a surplus of $100 million. Stober uses a 5% probability level to calculate the minimum amount by
which the plan will be underfunded next year.
Of the following VAR calculation methods, the measure that would most likely suit Smitherspoon is the:
Garrison Investments is a money management firm focusing on endowment management for small colleges
and universities. Over the past 20 years, the firm has primarily invested in U.S. securities with small allocations
to high quality long-term foreign government bonds. Garrison's largest account, Point University, has a market
value of $800 million and an asset allocation as detailed in Figure 1.
Figure 1: Point University Asset Allocation
*Bond coupon payments are all semiannual.
Managers at Garrison are concerned that expectations for a strengthening U.S. dollar relative to the British
pound could negatively impact returns to Point University's U.K. bond allocation. Therefore, managers have
collected information on swap and exchange rates. Currently, the swap rates in the United States and the
United Kingdom are 4.9% and 5.3%, respectively. The spot exchange rate is 0.45 GBP/USD. The U.K. bonds
are currently trading at face value.
Garrison recently convinced the board of trustees at Point University that the endowment should allocate a
portion of the portfolio into international equities, specifically European equities. The board has agreed to the
plan but wants the allocation to international equities to be a short-term tactical move. Managers at Garrison
have put together the following proposal for the reallocation:
To minimize trading costs while gaining exposure to international equities, the portfolio can use futures
contracts on the domestic 12-month mid-cap equity index and on the 12-month European equity index. This
strategy will temporarily exchange $80 million of U.S. mid-cap exposure for European equity index exposure.
Relevant data on the futures contracts are provided in Figure 2.
Figure 2: Mid-cap index and European Index Futures Data
Three months after proposing the international diversification plan, Garrison was able to persuade Point
University to make a direct short-term investment of $2 million in Haikuza Incorporated (HI), a Japanese
electronics firm. HI exports its products primarily to the United States and Europe, selling only 30% of its
production in Japan. In order to control the costs of its production inputs, HI uses currency futures to mitigate
exchange rate fluctuations associated with contractual gold purchases from Australia. In its current contract, HI
has one remaining purchase of Australian gold that will occur in nine months. The company has hedged the
purchase with a long 12-month futures contract on the Australian dollar (AUD).
Managers at Garrison are expecting to sell the HI position in one year, but have become nervous about the
impact of an expected depreciation in the value of the Yen relative to the U.S. dollar. Thus, they have decided
to use a currency futures hedge. Analysts at Garrison have estimated that the covariance between the local
currency returns on HI and changes in the USD/Yen spot rate is -0.184 and that the variance of changes in the
USD/Yen spot rate is 0.92.
Which of the following best describes the minimum variance hedge ratio for Garrison's currency futures hedge