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Problem 1
Suppose the US dollar and Euro interest rate for the next one year are 1.5% and 2%, respectively. Both are annually compounded. The spot price of Euro is $1.3000, and the one-year forward price of Euro is $1.2900. Determine the correct forward price and recommend an arbitrage strategy.
Problem 2
The following data are available relating to the performance of CSF Equity Fund and the market portfolio:
Fund A
Fund B
Fund C
Market Portfolio
Average return
18%
12%
30%
15%
Standard deviation
25%
20%
Beta
1.25
0.6
2.5
The risk-free return during the sample period was 5%.
1. Calculate the performance measures of each of the funds (A, B, and C) using Sharpe's, Treynor's, and Jensen's measures. Rank the results for each of the funds.
2. Identify the funds that outperformed the market using the Sharpe's ratio and Treynor's measure, respectively.
3. Are the rankings consistent? Explain any inconsistency.
Compute the sample mean, variance, and standard deviation of these shares and compute the variance-covariance matrix V and Plot the daily share prices and daily returns for each individual asset.
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