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In which condition, the holding-period return rate would be lower than its annualized return rate? Please...

In which condition, the holding-period return rate would be lower than its annualized return rate? Please explain it, maybe take an example is the best. Many thanks!!

(A) HPR is negative, and the holding period is less than one year

(B) HPR is positive, and the holding period is equal to one year

(C) HPR is positive, and the holding period is less than one year

(D) HPR is positive, and the holding period is more than one year

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Answer #1

The answer is

C. HPR is positive and the holding period is less than one year

When holding period is less than one year, annualized return is calculated by extrapolating the holding period return and hence is greater than HPR

When Holding period is equal to one year, holding period return and annualized return will be same

When holding period is more than one year, annualized return will be less than holding period return

When HPR is negative, annualized return will be larger number in negative and hence, lower than HPR

For example, If 6 months return in 6%, then annualized return will be 6%*2 =12% I.e. greater than holding period return

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