Free CFA Institute CFA-Level-III Exam Questions

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?

Eugene Price, CFA, a portfolio manager for the American Universal Fund (AUF), has been directed to pursue acontingent immunization strategy for a portfolio with a current market value of $100 million. AUF's trustees arenot willing to accept a rate of return less than 6% over the next five years. The trustees have also stated thatthey believe an immunization rate of 8% is attainable in today's market. Price has decided to implement thisstrategy by initially purchasing $100 million in 10-year bonds with an annual coupon rate of 8.0%, paidsemiannually.Price forecasts that the prevailing immunization rate and market rate for the bonds will both rise from 8% to 9%in one year.While Price is conducting his immunization strategy he is approached by April Banks, a newly hired junioranalyst at AUF. Banks is wondering what steps need to be taken to immunize a portfolio with multiple liabilities.Price states that the concept of single liability immunization can fortunately be extended to address the issue ofimmunizing a portfolio with multiple liabilities. He further states that there are two methods for managingmultiple liabilities. The first method is cash flow matching which involves finding a bond with a maturity dateequal to the liability payment date, buying enough in par value of that bond so that the principal and final couponfully fund the last liability, and continuing this process until all liabilities are matched. The second method ishorizon matching which ensures that the assets and liabilities have the same present values and durations.Price warns Banks about the dangers of immunization risk. He states that it is impossible to have a portfoliowith zero immunization risk, because reinvestment risk will always be present. Price tells Banks, "Be cognizantof the dispersion of cash flows when conducting an immunization strategy. When there is a high dispersion ofcash flows about the horizon date, immunization risk is high. It is better to have cash flows concentrated aroundthe investment horizon, since immunization risk is reduced."Assuming an immediate (today) increase in the immunized rate to 11%, the portfolio required return that wouldmost likely make Price turn to an immunization strategy is closest to:

Joan Weaver, CFA and Kim McNally, CFA are analysts for Cardinal Fixed Income Management. Cardinalprovides investment advisory services to pension funds, endowments, and other institutions in the U.S. andCanada. Cardinal recommends positions in investment-grade corporate and government bonds.Cardinal has largely advocated the use of passive approaches to bond investments, where the predominantholding consists of an indexed or enhanced indexed bond portfolio. They are exploring, however, the possibilityof using a greater degree of active management to increase excess returns. The analysts have made thefollowing statements.• Weaver: "An advantage of both enhanced indexing by matching primary risk factors and enhanced indexingby minor risk factor mismatching is that there is the potential for excess returns, but the duration of the portfoliois matched with that of the index, thereby limiting the portion of tracking error resulting from interest rate risk."• McNally: "The use of active management by larger risk factor mismatches typically involves large durationmismatches from the index, in an effort to capitalize on interest rate forecasts."As part of their increased emphasis on active bond management, Cardinal has retained the services of aneconomic consultant to provide expectations input on factors such as interest rate levels, interest rate volatility,and credit spreads. During his presentation, the economist states that he believes long-term interest ratesshould fall over the next year, but that short-term rates should gradually increase. Weaver and McNally arecurrently advising an institutional client that wishes to maintain the duration of its bond portfolio at 6.7. In light ofthe economic forecast, they are considering three portfolios that combine the following three bonds in varyingamounts.Weaver and McNally next examine an investment in a semiannual coupon bond newly issued by the ManixCorporation, a firm with a credit rating of AA by Moody's. The specifics of the bond purchase are providedbelow given Weaver's projections. It is Cardinal's policy that bonds be evaluated for purchase on a total returnbasis.One of Cardinal's clients, the Johnson Investment Fund (JIF), has instructed Weaver and McNally torecommend the appropriate debt investment for $125,000,000 in funds. JIF is willing to invest an additional15% of the portfolio using leverage. JIF requires that the portfolio duration not exceed 5.5. Weaverrecommends that JIF invest in bonds with a duration of 5.2. The maximum allowable leverage will be used andthe borrowed funds will have a duration of 0.8. JIF is considering investing in bonds with options and has askedMcNally to provide insight into these investments. McNally makes the following comments:"Due to the increasing sophistication of bond issuers, the amount of bonds with put options is increasing, andthese bonds sell at a discount relative to comparable bullets. Putables are quite attractive when interest ratesrise, but, we should be careful if with them, because valuation models often fail to account for the credit risk ofthe issuer."Another client, Blair Portfolio Managers, has asked Cardinal to provide advice on duration management. Oneyear ago, their portfolio had a market value of $3,010,444 and a dollar duration of $108,000; current figures areprovided below:The expected bond equivalent yield for the Manix Bond, using total return analysis, is closest to:

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:

Gabrielle Reneau, CFA, and Jack Belanger specialize in options strategies at the brokerage firm of Damon andDamon. They employ fairly sophisticated strategies to construct positions with limited risk, to profit from futurevolatility estimates, and to exploit arbitrage opportunities. Damon and Damon also provide advice to outsideportfolio managers on the appropriate use of options strategies. Damon and Damon prefer to use, andrecommend, options written on widely traded indices such as the S&P 500 due to their higher liquidity.However, they also use options written on individual stocks when the investor has a position in the underlyingstock or when mispricing and/or trading depth exists.In order to trade in the one-year maturity puts and calls for the S&P 500 stock index, Reneau and Belangercontact the chief economists at Damon and Damon, Mark Blair and Fran Robinson. Blair recently joined Damonand Damon after a successful stint at a London investment bank. Robinson has been with Damon and Damonfor the past ten years and has a considerable record of success in forecasting macroeconomic activity. In hisforecasts for the U.S. economy over the next year, Blair is quite bullish, for both the U.S. economy and the S&P500 stock index. Blair believes that the U.S. economy will grow at 2% more than expected over the next year.He also states that labor productivity will be higher than expected, given increased productivity through the useof technological advances. He expects that these technological advances will result in higher earnings for U.S.firms over the next year and over the long run.Reneau believes that the best S&P 500 option strategy to exploit Blair's forecast involves two options of thesame maturity, one with a low exercise price, and the other with a high exercise price. The beginning stockprice is usually below the two option strike prices. She states that the benefit of this strategy is that themaximum loss is limited to the difference between the two option prices.Belanger is unsure that Blair's forecast is correct. He states that his own reading of the economy is for acontinued holding pattern of low growth, with a similar projection for the stock market as a whole. He states thatDamon and Damon may want to pursue an options strategy where a put and call of the same maturity andsame exercise price are purchased. He asserts that such a strategy would have losses limited to the total costof the two options.Reneau and Belanger are also currently examining various positions in the options of Brendan Industries.Brendan Industries is a large-cap manufacturing firm with headquarters in the midwestern United States. Thefirm has both puts and calls sold on the Chicago Board Options Exchange. Their options have good liquidity forthe near money puts and calls and for those puts and calls with maturities less than four months. Reneaubelieves that Brendan Industries will benefit from the economic expansion forecasted by Mark Blair, the Damonand Damon economist. She decides that the best option strategy to exploit these expectations is for her topursue the same strategy she has delineated for the market as a whole.Shares of Brendan Industries are currently trading at $38. The following are the prices for their exchangetraded options.As a mature firm in a mature industry, Brendan Industries stock has historically had low volatility. However,Belanger's analysis indicates that with a lawsuit pending against Brendan Industries, the volatility of the stockprice over the next 60 days is greater by several orders of magnitude than the implied volatility of the options.He believes that Damon and Damon should attempt to exploit this projected increase in Brendan Industries1volatility by using an options strategy where a put and call of the same maturity and same exercise price areutilized. He advocates using the least expensive strategy possible.During their discussions, Reneau cites a counter example to Brendan Industries from last year. She recalls thatNano Networks, a technology firm, had a stock price that stayed fairly stable despite expectations to thecontrary. In this case, she utilized an options strategy where three different calls were used. Profits were earnedon the strategy because Nano Networks' stock price stayed fairly stable. Even if the stock price had becomevolatile, losses would have been limited.Later that week, Reneau and Belanger discuss various credit option strategies during a lunch time presentationto Damon and Damon client portfolio managers. During their discussion, Reneau describes a credit optionstrategy that pays the holder a fixed sum, which is agreed upon when the option is written, and occurs in theevent that an issue or issuer goes into default. Reneau declares that this strategy can take the form of eitherputs or calls. Belanger states that this strategy is known as either a credit spread call option strategy or a creditspread put option strategy.Reneau and Belanger continue by discussing the benefits of using credit options. Reneau mentions that creditoptions written on an underlying asset will protect against declines in asset valuation. Belanger says that creditspread options protect against adverse movements of the credit spread over a referenced benchmark.Assume Reneau applies the options strategy used earlier for Nano Networks. Assuming there is a 3-month 45call on Brendan Industries trading at $1.00, calculate the maximum gain and maximum loss on this position.Max gain Max loss