Become CFA Institute Certified with updated CFA-Level-III exam questions and correct answers
Smiler Industries is a U.S. manufacturer of machine tools and other capital goods. Dat Ng, the CFO of Smiler,feels strongly that Smiler has a competitive advantage in its risk management practices. With this in mind, Nghedges many of the risks associated with Smiler's financial transactions, which include those of a financialsubsidiary. Ng's knowledge of derivatives is extensive, and he often uses them for hedging and in managingSrniler's considerable investment portfolio.Smiler has recently completed a sale to Frexa in Italy, and the receivable is denominated in euros. Thereceivable is €10 million to be received in 90 days. Srniler's bank provides the following information:
Smiler borrows short-term funds to meet expenses on a temporary basis and typically makes semiannualinterest payments based on 180-day LIBOR plus a spread of 150 bp. Smiler will need to borrow S25 million in90 days to invest in new equipment. To hedge the interest rate risk on the loan, Ng is considering the purchaseof a call option on 180-day LIBOR with a term to expiration of 90 days, an exercise rate of 4.8%, and a premiumof 0.000943443 of the loan amount. Current 90-day LIBOR is 4.8%.Smiler also has a diversified portfolio of large cap stocks with a current value of $52,750,000, and Ng wants tolower the beta of the portfolio from its current level of 1.25 to 0.9 using S&P 500 futures which have a multiplierof 250. The S&P 500 is currently 1,050, and the futures contract exhibits a beta of 0.98 to the underlying.Because Ng intends to replace the short-term LIBOR-based loan with long-term financing, he wants to hedgethe risk of a 50 bp change in the market rate of the 20-year bond Smiler will issue in 270 days. The currentspread to Treasuries for Smiler's corporate debt is 2.4%. He will use a 270-day, 20-year Treasury bond futurescontract ($100,000 face value) currently priced at 108.5 for the hedge. The CTD bond for the contract has aconversion factor of 1.259 and a dollar duration of $6,932.53. The corporate bond, if issued today, would havean effective duration of 9.94 and has an expected effective duration at issuance of 9.90 based on a constantspread assumption. A regression of the YTM of 20-year corporate bonds with a rating the same as Smiler's onthe YTM of the CTD bond yields a beta of 1.05.If Ng purchases the interest rate call, and 180-day LIBOR at option expiration is 5.73%, the annualized effectiverate for the 180-day loan is closest to:
Garrison Investments is a money management firm focusing on endowment management for small collegesand universities. Over the past 20 years, the firm has primarily invested in U.S. securities with small allocationsto high quality long-term foreign government bonds. Garrison's largest account, Point University, has a marketvalue 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 PointUniversity to make a direct short-term investment of $2 million in Haikuza Incorporated (HI), a Japaneseelectronics firm. HI exports its products primarily to the United States and Europe, selling only 30% of itsproduction in Japan. In order to control the costs of its production inputs, HI uses currency futures to mitigateexchange rate fluctuations associated with contractual gold purchases from Australia. In its current contract, HIhas one remaining purchase of Australian gold that will occur in nine months. The company has hedged thepurchase 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 theimpact of an expected depreciation in the value of the Yen relative to the U.S. dollar. Thus, they have decidedto use a currency futures hedge. Analysts at Garrison have estimated that the covariance between the localcurrency returns on HI and changes in the USD/Yen spot rate is -0.184 and that the variance of changes in theUSD/Yen spot rate is 0.92.Which of the following best describes the minimum variance hedge ratio for Garrison's currency futures hedgeon the Haikuza investment?
Andre Hickock, CFA, is a newly hired fixed income portfolio manager for Deadwood Investments, LLC. Hickockis reviewing the portfolios of several pension clients that have been assigned to him to manage. The firstportfolio, Montana Hardware, Inc., has the characteristics shown in Figure 1.
Hickock is attempting to assess the risk of the Montana Hardware portfolio. The benchmark bond index thatDeadwood uses for pension accounts similar to Montana Hardware has an effective duration of 5.25. Hissupervisor, Carla Mity, has discussed bond risk measurement with Hickock. Mity is most familiar with equity riskmeasures, and is not convinced of the validity of duration as a portfolio risk measure. Mity told Hickock, "I havealways believed that standard deviation is the best measure of bond portfolio risk. You want to know thevolatility, and standard deviation is the most direct measure of volatility."Hickock is also reviewing the bond portfolio of Buffalo Sports, Inc., which is comprised of the following assetsshown in Figure 2.
The trustees of the Buffalo Sports pension plan have requested that Deadwood explore alternatives to reducethe risk of the MBS sector of their bond portfolio. Hickock responded to their request as follows:"I believe that the current option-adjusted spread (OAS) on the MBS sector is quite high. In order to reduce yourrisk, I would suggest that we hedge the interest rate risk using a combination of 2-year and 10-year Treasurysecurity futures. I would further suggest that we do not take any steps to hedge spread risk at this time."In assessing the risk of a portfolio containing both bullet maturity corporate bonds and MBS, Hickock shouldalways consider that:
Daniel Castillo and Ramon Diaz are chief investment officers at Advanced Advisors (AA), a boutique fixedincome firm based in the United States. AA employs numerous quantitative models to invest in both domesticand international securities.During the week, Castillo and Diaz consult with one of their investors, Sally Michaels. Michaels currently holds a$10,000,000 fixed-income position that is selling at par. The maturity is 20 years, and the coupon rate of 7% ispaid semiannually. Her coupons can be reinvested at 8%. Castillo is looking at various interest rate changescenarios, and one such scenario is where the interest rate on the bonds immediately changes to 8%.Diaz is considering using a repurchase agreement to leverage Michaels's portfolio. Michaels is concerned,however, with not understanding the factors that impact the interest rate, or repo rate, used in her strategy. Inresponse, Castillo explains the factors that affect the repo rate and makes the following statements:1. "The repo rate is directly related to the maturity of the repo, inversely related to the quality of the collateral,and directly related to the maturity of the collateral. U.S. Treasury bills are often purchased by Treasury dealersusing repo transactions, and since they have high liquidity, short maturities, and no default risk, the repo rate isusually quite low. "2. "The greater control the lender has over the collateral, the lower the repo rate. If the availability of thecollateral is limited, the repo rate will be higher."Castillo consults with an institutional investor, the Washington Investment Fund, on the effect of leverage onbond portfolio returns as well as their bond portfolio's sensitivity to changes in interest rates. The portfolio underdiscussion is well diversified, with small positions in a large number of bonds. It has a duration of 7.2. Of the$200 million value of the portfolio, $60 million was borrowed. The duration of borrowed funds is 0.8. Theexpected return on the portfolio is 8% and the cost of borrowed funds is 3%.The next day, the chief investment officer for the Washington Investment Fund expresses her concern aboutthe risk of their portfolio, given its leverage. She inquires about the various risk measures for bond portfolios. Inresponse, Diaz distinguishes between the standard deviation and downside risk measures, making thefollowing statements:1. ''Portfolio managers complain that using variance to calculate Sharpe ratios is inappropriate. Since itconsiders all returns over the entire distribution, variance and the resulting standard deviation are artificiallyinflated, so the resulting Sharpe ratio is artificially deflated. Since it is easily calculated for bond portfolios,managers feci a more realistic measure of risk is the semi-variance, which measures the distribution of returnsbelow a given return, such as the mean or a hurdle rate."2. "A shortcoming of VAR is its inability to predict the size of potential losses in the lower tail of the expectedreturn distribution. Although it can assign a probability to some maximum loss, it does not predict the actual lossif the maximum loss is exceeded. If Washington Investment Fund is worried about catastrophic loss, shortfallrisk is a more appropriate measure, because it provides the probability of not meeting a target return."AA has a corporate client, Shaifer Materials with a €20,000,000 bond outstanding that pays an annual fixedcoupon rate of 9.5% with a 5-year maturity. Castillo believes that euro interest rates may decrease further withinthe next year below the coupon rate on the fixed rate bond. Castillo would like Shaifer to issue new debt at alower euro interest rate in the future. Castillo has, however, looked into the costs of calling the bonds and hasfound that the call premium is quite high and that the investment banking costs of issuing new floating rate debtwould be quite steep. As such he is considering using a swaption to create a synthetic refinancing of the bondat a lower cost than an actual refinancing of the bond. He states that in order to do so, Shaifer should buy apayer swaption, which would give them the option to pay a lower floating interest rate if rates drop.Diaz retrieves current market data for payer and receiver swaptions with a maturity of one year. The terms ofeach instrument are provided below:Payer swaption fixed rate7.90%Receiver swaption fixed rate7.60%Current Euribor7.20%Projected Euribor in one year5.90%Diaz states that, assuming Castillo is correct, Shaifer can exercise a swaption in one year to effectively call intheir old fixed rate euro debt paying 9.5% and refinance at a floating rate, which would be 7.5% in one year.Regarding their statements concerning the synthetic refinancing of the Shaifer Materials fixed rate euro debt,are the comments correct?
Dan Draper, CFA is a portfolio manager at Madison Securities. Draper is analyzing several portfolios whichhave just been assigned to him. In each case, there is a clear statement of portfolio objectives and constraints,as welt as an initial strategic asset allocation. However, Draper has found that all of the portfolios haveexperienced changes in asset values. As a result, the current allocations have drifted away from the initialallocation. Draper is considering various rebalancing strategies that would keep the portfolios in line with theirproposed asset allocation targets.Draper spoke to Peter Sterling, a colleague at Madison, about calendar rebalancing. During their conversation,Sterling made the following comments:Comment 1: Calendar rebalancing will be most efficient when the rebalancing frequency considers the volatilityof the asset classes in the portfolio.Comment 2: Calendar rebalancing on an annual basis will typically minimize market impact relative to morefrequent rebalancing.Draper believes that a percentage-of-portfolio rebalancing strategy will be preferable to calendar rebalancing,but he is uncertain as to how to set the corridor widths to trigger rebalancing for each asset class. As anexample, Draper is evaluating the Rogers Corp. pension plan, whose portfolio is described in Figure 1.
Draper has been reviewing Madison files on four high net worth individuals, each of whom has a $1 millionportfolio. He hopes to gain insight as to appropriate rebalancing strategies for these clients. His research so farshows:Client A is 60 years old, and wants to be sure of having at least $800,000 upon his retirement. His risk tolerancedrops dramatically whenever his portfolio declines in value. He agrees with the Madison stock market outlook,which is for a long-term bull market with few reversals.Client B is 35 years old and wants to hold stocks regardless of the value of her portfolio. She also agrees withthe Madison stock market outlook.Client C is 40 years old, and her absolute risk tolerance varies proportionately with the value of her portfolio.She does not agree with the Madison stock market outlook, but expects a choppy stock market, marked bynumerous reversals, over the coming months.In selecting a rebalancing strategy for his clients, Draper would most likely select a constant mix strategy for:
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