# Performance metrics problem | Accounting homework help

Complete Problem 22 in the Questions and Problems section of Chapter 13 (shown below).  When you pick the best choice for your portfolio, defend your decision in a 100- to 200-word essay.

You have been given the following return information for two mutual funds (Papa and Mama), the market index, and the risk-free rate.

 Year Papa Fund Mama Fund Market Risk-Free 2008 -12.6% -22.6 -24.5% 1% 2009 25.4 18.5 19.5 3 2010 8.5 9.2 9.4 2 2011 15.5 8.5 7.6 4 2012 2.6 -1.2 -2.2 2

Calculate the Sharpe ratio, Treynor ratio, Jensen’s alpha, information ratio, and R-squared for both funds and determine which is the best choice for your portfolio

22.       Dollar-Weighted Average Return (LO3, CFA6)        Suppose that an investor opens an account by investing \$1,000. At the beginning of each of the next four years, he deposits an additional \$1,000 each year, and he then liquidates the account at the end of the total five-year period. Suppose that the yearly returns in this account, beginning in year 1, are as follows: 12 percent, 5 percent, 8 percent, 7 percent, and 14 percent. Calculate the arithmetic and geometric average returns for this investment, and determine what the investor’s actual dollar-weighted average return was for this five-year period. Why is the dollar-weighted average return higher or lower than the geometric average return?

(BUS 405, p. 64)

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