Mathematical finance

Holding period return

In finance, holding period return (HPR) is the return on an asset or portfolio over the whole period during which it was held. It is one of the simplest and most important measures of investment performance. HPR is the change in value of an investment, asset or portfolio over a particular period. It is the entire gain or loss, which is the sum income and capital gains, divided by the value at the beginning of the period. HPR = (End Value - Initial Value) / Initial Value where the End Value includes income, such as dividends, earned on the investment: where is the value at the start of the holding period and is the total value at the end of the holding period. (Wikipedia).

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Rate of return