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Actuarial Science

money-weighted rate of return (MWRR) vs. time-weighted rate of return (TWRR)

by 올뺴미 2024. 11. 24.

  투자 기간 동안에 Fund의 투자 성과를 파악하는 테크닉

MWRR과 TWRR을 구하는 방식을 알아보겠다.

 

actual return achieved by the fund over the period[0,T]

The money-weighted rate of return (MWRR)

금액가중수익률

 

 represents the yield (or IRR) earned by the fund over the specified period.

Suppose that we are assessing the performance of a fund over the period [0, T ].

Assume that the value of the fund at time 0 (i.e. at the start of the period) is F(0), and that the value of the fund at time T (i.e. at the end of the period) is F(T).

Also, suppose that the fund has net cash flows (i.e. difference between income and outgo) of amounts C(t1),C(t2),...,C(tn) at times 0  t1 < t2 < ... < tn  T respectively.

 

 

 

The time-weighted rate of return (TWRR)

시간가중수익률

 

To calculate the TWRR, we also require the value of the fund immediately before each

cash flow

0과 T 시점 뿐만 아니라 각각의 현금 흐름 시점의 직전 펀드의 가치를 알아야 한다. 

 

 

 

예시문제를 풀어보겠다