Become CFA Institute Certified with updated CFA-Level-III exam questions and correct answers
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 Data
The 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 Plan
Using the historical data over the past 100 days, the 1-day, 5% VAR for the Jude Fund is closest to:
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:
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 1
Exhibit 2: Morningstar Style Box: Long-Only Manager for Five-Year Period 2
Reinhart 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 Allocations
GenM 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:
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."
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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