HPR is the percentage by which the value of a portfolio (or asset) has grown for a particular period. It is the sum of net income and capital gains divided by the initial period value (asset value at the beginning of the period).
HPR = ((Present Value, or face Value, End-Of-Period Value) + (Any Intermediate Gains eg. Dividends) - (Initial Value)) /(Initial Value)'''
|End of:||1st Quarter||2nd Quarter||3rd Quarter||4th Quarter|
To the right is an example of a stock investment of one share purchased at the beginning of the year for $100. At the end of the first quarter the stock price is $98. This is a capital loss. The stock share bought for $100 can only be sold for $98, which is the value of the investment at the end of the first quarter. The first quarter return is:
($98 - $100 + $1) / $100 = -1%
Since the final stock price is $99, the annual ROI is:
($99 ending price - $100 beginning price + $4 dividends) / $100 beginning price = 3% ROI. If the final stock price had been $95, the annual ROI would be:
($95 ending price - $100 beginning price + $4 dividends) / $100 beginning price = -1% ROI.
Annualized HPR = (((Present Value, or face Value, End-Of-Period Value) + (Any Intermediate Gains eg. Dividents) - (Initial Value)) /(Initial Value)) + 1 ) ^ (1 / (Years) ) - 1
Years being number of years that have passed. For example, if you have held the item for half a year, year would equal 1/2.
If HPR1 through HPR4 are the holding period returns for four consecutive periods, the annual HPR is calculated as follows:
(1 + HPR)= (1 + HPR1)(1 + HPR2)(1 + HPR3)(1 + HPR4)