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A client invested $100 in a mutual fund at the start of the month. After 20 days, the portfolio gained 10% (i.e., value = $110),

A client invested $100 in a mutual fund at the start of the month. After 20 days, the
portfolio gained 10% (i.e., value = $110), and the client added an extra $50 (total portfolio
value=$160). From day 20 to day 30, the portfolio lost 9.09%--the final portfolio value is $160×(1-
0.0909)=$145.46. Calculate the money-weighted return and time-weighted return. Which rate of
should you use to evaluate the performance of the mutual fund manager? What is the formula and how can i calculate this on financial calculator?

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