Free CFA Institute CFA-Level-III Exam Questions

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:

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?

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."

Geneva Management (GenM) selects long-only and long-short portfolio managers to develop asset allocationrecommendations for their institutional clients.GenM Advisor Marcus Reinhart recently examined the holdings of one of GenM's long-only portfolios activelymanaged by Jamison Kiley. Reinhart compiled the holdings for two consecutive non-overlapping five yearperiods. The Morningstar Style Boxes for the two periods for Kiley's portfolio are provided in Exhibits 1 and 2.Exhibit 1: Morningstar Style Box: Long-Only Manager for Five-Year Period 1Exhibit 2: Morningstar Style Box: Long-Only Manager for Five-Year Period 2Reinhart contends that the holdings-based analysis might be flawed because Kiley's portfolio holdings areknown only at the end of each quarter. Portfolio holdings at the end of the reporting period might misrepresentthe portfolio's average composition. To compliment his holdings-based analysis, Reinhart also conducts areturns-based style analysis on Kiley's portfolio. Reinhart selects four benchmarks:1. SCV: a small-cap value index.2. SCG: a small-cap growth index.3. LCV: a large-cap value index.4. LCG: a large-cap growth index.Using the benchmarks, Reinhart obtains the following regression results:Period 1: Rp = 0.02 + H0.01(SCV) + 0.02(SCG) + 0.36(LCV) + 0.61(LCG)Period 2: Rp = 0.02 + 0.01(SCV) + 0.02(SCG) + 0.60(LCV) + 0.38(LCG)Kiley's long-only portfolio is benchmarked against the S&P 500 Index. The Index's current sector allocations areshown in Exhibit 3.Exhibit 3: S&P 500 Index Sector AllocationsGenM strives to select managers whose correlation between forecast alphas and realized alphas has beenfairly high, and to allocate funds across managers in order to achieve alpha and beta separation. GenM givesReinhart a mandate to pursue a core-satellite strategy with a small number of satellites each focusing on arelatively few number of securities.In response to the core-satellite mandate, Reinhart explains that a Completeness Fund approach offers twoadvantages:Advantage 1: The Completeness Fund approach is designed to capture the stock selecting ability of the activemanager, while matching the overall portfolio's risk to its benchmark.Advantage 2: The Completeness Fund approach allows the Fund to fully capture the value added from activemanagers by eliminating misfit risk.Which one of the following statements about Kiley's long-only portfolio is most correct1? Kiley's portfolio:

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: