Free CFA Institute CFA-Level-III Exam Questions

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:

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:

Joan Nicholson, CFA, and Kim Fluellen, CFA, sit on the risk management committee for Thomasville AssetManagement. Although Thomasville manages the majority of its investable assets, it also utilizes outside firmsfor special situations such as market neutral and convertible arbitrage strategies. Thomasville has hired ahedge fund, Boston Advisors, for both of these strategies. The managers for the Boston Advisors funds areFrank Amato, CFA, and Joseph Garvin, CFA. Amato uses a market neutral strategy and has generated a returnof S20 million this year on the $100 million Thomasville has invested with him. Garvin uses a convertiblearbitrage strategy and has lost $15 million this year on the $200 million Thomasville has invested with him, withmost of the loss coming in the last quarter of the year. Thomasville pays each outside manager an incentive feeof 20% on profits. During the risk management committee meeting Nicholson evaluates the characteristics ofthe arrangement with Boston Advisors. Nicholson states that the asymmetric nature of Thomasville's contractwith Boston Advisors creates adverse consequences for Thomasville's net profits and that the compensationcontract resembles a put option owned by Boston Advisors.Upon request, Fluellen provides a risk assessment for the firm's large cap growth portfolio using a monthlydollar VAR. To do so, Fluellen obtains the following statistics from the fund manager. The value of the fund is$80 million and has an annual expected return of 14.4%. The annual standard deviation of returns is 21.50%.Assuming a standard normal distribution, 5% of the potential portfolio values are 1.65 standard deviationsbelow the expected return.Thomasville periodically engages in options trading for hedging purposes or when they believe that options aremispriced. One of their positions is a long position in a call option for Moffett Corporation. The option is aEuropean option with a 3-month maturity. The underlying stock price is $27 and the strike price of the option is$25. The option sells for S2.86. Thomasville has also sold a put on the stock of the McNeill Corporation. Theoption is an American option with a 2-month maturity. The underlying stock price is $52 and the strike price ofthe option is $55. The option sells for $3.82. Fluellen assesses the credit risk of these options to Thomasvilleand states that the current credit risk of the Moffett option is $2.86 and the current credit risk of the McNeilloption is $3.82.Thomasville also uses options quite heavily in their Special Strategies Portfolio. This portfolio seeks to exploitmispriced assets using the leverage provided by options contracts. Although this fund has achieved somespectacular returns, it has also produced some rather large losses on days of high market volatility. Nicholsonhas calculated a 5% VAR for the fund at $13.9 million. In most years, the fund has produced losses exceeding$13.9 million in 13 of the 250 trading days in a year, on average. Nicholson is concerned about the accuracy ofthe estimated VAR because when the losses exceed $13.9 million, they are typically much greater than $13.9million.In addition to using options, Thomasville also uses swap contracts for hedging interest rate risk and currencyexposures. Fluellen has been assigned the task of evaluating the credit risk of these contracts. Thecharacteristics of the swap contracts Thomasville uses are shown in Figure 1.Fluellen later is asked to describe credit risk in general to the risk management committee. She states thatcross-default provisions generally protect a creditor because they prevent a debtor from declaring immediatedefault on the obligation owed to the creditor when the debtor defaults on other obligations. Fluellen also statesthat credit risk and credit VAR can be quickly calculated because bond rating firms provide extensive data onthe defaults for investment grade and junk grade corporate debt at reasonable prices.Which of the following best describes the accuracy of the VAR measure calculated for the Special StrategiesPortfolio?

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?

John Rawlins is a bond portfolio manager for Waimea Management, a U.S.-based portfolio management firm. Waimea specializes in the management of equity and fixed income portfolios for large institutional investors such as pension funds, insurance companies, and endowments. Rawlins uses bond futures contracts for both hedging and speculative positions. He frequently uses futures contracts for tactical asset allocation because, relative to cash instruments, futures have lower transactions costs and margin requirements. They also allow for short positions and longer duration positions not available with cash market instruments. Rawlins has a total of approximately $750 million of assets under management. In one of his client portfolios, Rawlins currently holds the following positions:The dollar duration of the cheapest to deliver bond (CTD) is $10,596.40 and the conversion factor is 1.3698.In a discussion of this bond hedge, Rawlins confers with John Tejada, his assistant. Tejada states that he hasregressed the corporate bond's yield against the yield for the CTD and has found that the slope coefficient forthis regression is 1.0. He states his results confirm the assumptions made by Rawlins for his hedgingcalculations. Rawlins states that had Tejada found a slope coefficient greater than one, the number of futurescontracts needed to hedge a position would decrease (relative to the regression coefficient being equal to one).In addition to hedging specific bond positions, Rawlins tends to be quite active in individual bond managementby moving in and out of specific issues to take advantage of temporary mispricing. Although the turnover in hisportfolio is sometimes quite high, he believes that by using his gut instincts he can outperform a buy-and-holdstrategy. Tejada on the other hand prefers using statistical software and simulation to help him find undervaluedbond issues. Although Tejada has recently graduated from a prestigious university with a master's degree infinance, Rawlins has not given Tejada full rein in decision-making because he believes that Tejada's approachneeds further evaluation over a period of both falling and rising interest rates, as well as in different creditenvironments.Rawlins and Tejada are evaluating two individual bonds for purchase. The first bond was issued by Dynacom, aU.S. telecommunications firm. This bond is denominated in dollars. The second bond was issued by BergamoMetals, an Italian based mining and metal fabrication firm. The Bergamo bond is denominated in euros. Theholding period for either bond is three months.The characteristics of the bonds are as follows:3-month cash interest rates are 1% in the United States and 2.5% in the European Union. Rawlins and Tejadawill hedge the receipt of euro interest and principal from the Bergamo bond using a forward contract on euros.Rawlins evaluates these two bonds and decides that over the next three months, he will invest in the Dynacombond. He notes that although (he Bergamo bond has a yield advantage of 1% over the next quarter, the euro isat a three month forward discount of approximately 1.5%. Therefore, he favors the Dynacom bond because thenet return advantage for the Dynacom bond is 0.5% over the next three months.Tejada does his own analysis and states that, although he agrees with Rawlins that the Dynacom bond has ayield advantage, he is concerned about the credit quality of the Dynacom bond. Specifically, he has heardrumors that the chief executive and the chairman of the board at Dynacom are both being investigated by theU.S. Securities and Exchange Commission for possible manipulation of Dynacom's stock price, just prior to theexercise of their options in the firm's stock. He believes that the resulting fallout from this alleged incident couldbe damaging to Dynacom's bond price.Tejada analyzes the potential impact on Dynacom's bond price using breakeven analysis. He believes thatnews of the incident could increase the yield on Dynacom's bond by 0.75%. Under this scenario, he states thathe would favor the Bergamo bond over the next three months, assuming that the yield on the Bergamo bondstays constant. Rawlins reviews Tejada's breakeven analysis and states that though he is appreciative ofTejada's efforts, the analysis relies on an approximation.Suppose that the original dollar duration for a 100 basis point change in interest rates was $4,901,106 and thatthe bond prices remain constant during the year. Based upon the durations one year from today, and assuminga proportionate investment in each of the three bonds, the amount of cash that will need to be invested torestore the average dollar duration to the original level is closest to: