Free CFA Institute CFA-Level-III Exam Questions

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 DataThree 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?

Walter Skinner, CFA, manages a bond portfolio for Director Securities. The bond portfolio is part of a pensionplan trust set up to benefit retirees of Thomas Steel Inc. As part of the investment policy governing the plan andthe bond portfolio, no foreign securities are to be held in the portfolio at any time and no bonds with a creditrating below investment grade are allowable for the bond portfolio. In addition, the bond portfolio must remainunleveraged. The bond portfolio is currently valued at $800 million and has a duration of 6.50. Skinner believesthat interest rates are going to increase, so he wants to lower his portfolio's duration to 4.50. He has decided toachieve the reduction in duration by using swap contracts. He has two possible swaps to choose from:1. Swap A: 4-year swap with quarterly payments.2. Swap B: 5-year swap with semiannual payments.Skinner plans to be the fixed-rate payer in the swap, receiving a floating-rate payment in exchange. Foranalysis, Skinner always assumes the duration of a fixed rate bond is 75% of its term to maturity.Several years ago, Skinner decided to circumvent the policy restrictions on foreign securities by purchasing adual currency bond issued by an American holding company with significant operations in Japan. The bondmakes semiannual fixed interest payments in Japanese yen but will make the final principal payment in U.S.dollars five years from now. Skinner originally purchased the bond to take advantage of the strengtheningrelative position of the yen. The result was an above average return for the bond portfolio for several years.Now, however, he is concerned that the yen is going to begin a weakening trend, as he expects inflation in theJapanese economy to accelerate over the next few years. Knowing Skinner's situation, one of his colleagues,Bill Michaels, suggests the following strategy:"You need to offset your exposure to the Japanese yen by establishing a short position in a synthetic dualcurrency bond that matches the terms of the dual currency bond you purchased for the Thomas Steel bondportfolio. As part of the strategy, you will have to enter into a currency swap as the fixed-rate yen payer. Theswap will neutralize the dual-currency bond position but will unfortunately increase the credit risk exposure ofthe portfolio."Skinner has also spoken to Orval Mann, the senior economist with Director Securities, about his expectationsfor the bond portfolio. Mann has also provided some advice to Skinner in the following comment:"1 know you expect a general increase in interest rates, but I disagree with your assessment of the interest rateshift. I believe interest rates are going to decrease. Therefore, you will want to synthetically remove the callfeatures of any callable bonds in your portfolio by purchasing a payer interest rate swaption."After his lung conversation with Director Securities' senior economist, Orval Mann, Skinner has completelychanged his outlook on interest rates and has decided to extend the duration of his portfolio. The mostappropriate strategy to accomplish this objective using swaps would be to enter into a swap to pay:

Paul Dennon is senior manager at Apple Markets Associates, an investment advisory firm. Dennon has beenexamining portfolio risk using traditional methods such as the portfolio variance and beta. He has rankedportfolios from least risky to most risky using traditional methods.Recently, Dennon has become more interested in employing value at risk (VAR) to determine the amount ofmoney clients could potentially lose under various scenarios. To examine VAR, Paul selects a fund run solelyfor Apple's largest client, the Jude Fund. The client has $100 million invested in the portfolio. Using thevariance-covariance method, the mean return on the portfolio is expected to be 10% and the standard deviationis expected to be 10%. Over the past 100 days, daily losses to the Jude Fund on its 10 worst days were (inmillions): 20, 18, 16, 15, 12, 11, 10, 9, 6, and 5. Dennon also ran a Monte Carlo simulation (over 10,000scenarios). The following table provides the results of the simulation:Figure 1: Monte Carlo Simulation DataThe top row (Percentile) of the table reports the percentage of simulations that had returns below thosereported in the second row (Return). For example, 95% of the simulations provided a return of 15% or less, and97.5% of the simulations provided a return of 20% or less.Dennon's supervisor, Peggy Lane, has become concerned that Dennon's use of VAR in his portfoliomanagement practice is inappropriate and has called for a meeting with him. Lane begins by asking Dennon tojustify his use of VAR methodology and explain why the estimated VAR varies depending on the method usedto calculate it. Dennon presents Lane with the following table detailing VAR estimates for another Apple client,the York Pension Plan.To round out the analytical process. Lane suggests that Dennon also incorporate a system for evaluatingportfolio performance. Dennon agrees to the suggestion and computes several performance ratios on the YorkPension Plan portfolio to discuss with Lane. The performance figures are included in the following table. Notethat the minimum acceptable return is the risk-free rate.Figure 3: Performance Ratios for the York Pension PlanUsing the historical data over the past 100 days, the 1-day, 5% VAR for the Jude Fund is closest to:

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?

Matrix Corporation is a multidivisional company with operations in energy, telecommunications, and shipping.Matrix sponsors a traditional defined benefit pension plan. Plan assets are valued at $5.5 billion, while recentdeclines in interest rates have caused plan liabilities to balloon to $8.3 billion. Average employee age at Matrixis 57.5, which is considerably higher than the industry average, and the ratio of active to retired lives is 1.1. JoeElliot, Matrix's CFO, has made the following statement about the current state of the pension plan."Recent declines in interest rates have caused our pension liabilities to grow faster than ever experienced in ourlong history, but I am sure these low rates are temporary. I have looked at the charts and estimated theprobability of higher interest rates at more than 90%. Given the expected improvement in interest rate levels,plan liabilities will again come back into line with our historical position. Our investment policy will therefore beto invest plan assets in aggressive equity securities. This investment exposure will bring our plan to an overfunded status, which will allow us to use pension income to bolster our profitability."