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CFA Level I · CFA Level I Exam · Types of Financial Returns

An analyst's share price rises from 80.00 to 92.00 over one year. The continuously compounded return for the year is closest to:

The continuously compounded return is the natural log of the price relative, ln(92/80) = ln(1.15), which is about 13.98%. The 15.00% figure is the simple return and is larger than the log return for any positive gain.

  1. A13.98%Correct
  2. B15.00%
  3. C16.25%

Explanation

The continuously compounded return is ln(92/80) = ln(1.15) = 0.13976, or 13.98%. The 15.00% option is the simple holding period return, which ignores the logarithm. The 16.25% option is not a meaningful return measure here.

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