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Bill Smith is evaluating the performance of four large-cap equity portfolios: funds A, B, C,and D. As part of his analysis, Smith computed the Sharpe ratio and the Treynor measurefor all four funds. Based on his finding, the ranks assigned to the four funds are as follows:

The difference in rankings for funds A and D is most likely due to:

a. A lack of diversification in fund A as compared to fund D.

b. Different benchmarks used to evaluate each fund’s performance.

c. A difference in risk premiums.

Short Answer

Expert verified

Option a:

Step by step solution

01

Definition of Sharpe and Treynor ratio

The Sharpe ratio measures excess return per unit of total risk while Treynor ratio measure excess return per unit of systematic risk.

02

Explanation on difference in rankings 

Since Fund A performed well on Treynor ratio but poorly on Sharpe measure, it is likely that the fund carries a greater amount of unsystematic risk. This implies that it is not well diversified and the systematic risk is not the relevant risk measure.

Hence option A appears as the most appropriate option for the given question.

03

Explanation of incorrect options: 

b. Financialratios that gauge an investment's risk-adjusted rate of return are the Treynor and Sharpe metrics. So, option b is incorrect.

c. The Treynor ratio yields better value if proper diversification has occurred in the portfolio, and the Sharpe ratio will be an appropriate metric with an imbalanced portfolio. Hence a variation in risk premium will not be the right answer.

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Most popular questions from this chapter

A hedge fund charges an incentive fee of 20% of any investment returns above the T-bill rate, which currently is 2%. In the first year, the fund suffers a loss of 8%. What rate of return must it earn in the second year to be eligible for an incentive fee?

Go to the Online Learning Center at www.mhhe.com/bkm , link to Chapter 20, and find there a spreadsheet containing monthly values of the S&P 500 Index. Suppose that in each month you had written an out-of-the-money put option on one unit of the index with an exercise price 5% lower than the current value of the index.

a. What would have been the average value of your gross monthly payouts on the puts over the 10-year period October 1977–September 1987? The standard deviation?

b. Now extend your sample by one month to include October 1987, and recalculate the average payout and standard deviation of the put-writing strategy. What do you conclude about tail risk in naked put writing?

John Irish, CFA, is an independent investment adviser who is assisting Alfred Darwin, the head of the Investment Committee of General Technology Corporation, to establish a new pension fund. Darwin asks Irish about international equities and whether the Investment Committee should consider them as an additional asset for the pension fund.

a. Explain the rationale for including international equities in General’s equity portfolio. Identify and describe three relevant considerations in formulating your answer.

b. List three possible arguments against international equity investment, and briefly discuss the significance of each.

c. To illustrate several aspects of the performance of international securities over time, Irish shows Darwin the accompanying graph of investment results experienced by a U.S. pension fund in the recent past. Compare the performance of the U.S.-dollar and non-U.S.-dollar equity and fixed-income asset categories, and explain the significance of the result of the account performance index relative to the results of the four individual asset class indexes.

Which of the following is most accurate in describing the problems of survivorship bias and backfill bias in the performance evaluation of hedge funds?

a. Survivorship bias and backfill bias both result in upwardly biased hedge fund index returns.

b. Survivorship bias and backfill bias both result in downwardly biased hedge fund index returns.

c. Survivorship bias results in upwardly biased hedge fund index returns, but backfill bias results in downwardly biased hedge fund index returns.

Use the following information to answer Problems l2–16:

Primo Management Co. is looking at how best to evaluate the performance of its managers. Primo has been hearing more and more about benchmark portfolios and is interested in trying this approach. As such, the company hired Sally Jones, CFA, as a consultant to educate the managers on thebest methods for constructing a benchmark portfolio, how best to choose a benchmark, whether the style of the fund under management matters, and what they should do with their global funds in terms of benchmarking.

For the sake of discussion, Jones put together some comparative two-year performance numbers that relate to Primo’s current domestic funds under management and a potential benchmark.

As part of her analysis, Jones also takes a look at one of Primo’s global funds. In this particular portfolio, Primo is invested 75% in Dutch stocks and 25% in British stocks.

The benchmark invested 50% in each—Dutch and British stocks. On average, the British stocks outperformed the Dutch stocks. The euro appreciated 6% versus the U.S. dollar over the holding period, while the pound depreciated 2% versus the dollar. In terms of the local return, Primo outperformed the benchmark with the Dutch investments but underperformed the index with respect to the British stocks.

Question: Calculate the amount by which the Primo portfolio out- (or under-) performed the market over the period, as well as the contribution to performance of the pure sector allocation and security selection decisions.

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