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Analyze the Return of Mutual Funds

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Question 1
Multiple Choice
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An investor is analyzing the returns of three mutual funds. Return information is provided in the table below:

Returns on Mutual Funds

Fund | Time Since Inception | Return Since Inception (%)

A | 100 days | 3.90

B | 6 weeks | 1.60

C | 14 months | 15.20

Explanation

To annualize returns, we use the formula:
Annualized Return = (1+R)^{(365/n)}−1, where n is the number of days since inception.

  • Fund A: (1+0.039)^{(365/100)}−1

  • Fund B: (1+0.016)^{(365/42)}−1

  • Fund C: (1+0.152)^{(365/426)}−1

Even though Fund B has the smallest raw return, it compounds to the highest annualized return when accounting for the shorter holding period.

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