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The geometric average return is equivalent to the cumulative return over the whole n periods, converted into a rate of return per period. Where the individual sub-periods are each equal (say, 1 year), and there is reinvestment of returns, the annualized cumulative return is the geometric average rate of return.
The time-weighted return (TWR) [1] [2] is a method of calculating investment return, where returns over sub-periods are compounded together, with each sub-period weighted according to its duration. The time-weighted method differs from other methods of calculating investment return, in the particular way it compensates for external flows.
If this instantaneous return is received continuously for one period, then the initial value P t-1 will grow to = during that period. See also continuous compounding . Since this analysis did not adjust for the effects of inflation on the purchasing power of P t , RS and RC are referred to as nominal rates of return .
That’s different from annual return, which simply measures the return a security generates within a given 12-month period. It’s also different from yield . How to Calculate Rolling Returns
Here’s what the letters represent: A is the amount of money in your account. P is your principal balance you invested. R is the annual interest rate expressed as a decimal. N is the number of ...
The first quarter holding period return is: ($98 – $100 + $1) / $100 = -1% Since the final stock price at the end of the year is $99, the annual holding period return is: ($99 ending price - $100 beginning price + $4 dividends) / $100 beginning price = 3% If the final stock price had been $95, the annual HPR would be: