5 min read
2025-07-04

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Tom McGrath
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NPV=∑t=0TCt(1+MWRR)t=0 \text{NPV} = \sum_{t=0}^{T} \frac{C_t}{(1 + \text{MWRR})^t} = 0
−10000(1+r)0−2000(1+r)0.249+1000(1+r)0.748+12500(1+r)1.0=0 -\frac{10000}{(1 + r)^0} - \frac{2000}{(1 + r)^{0.249}} + \frac{1000}{(1 + r)^{0.748}} + \frac{12500}{(1 + r)^{1.0}} = 0
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Simple Return=Final Value−Total Inflows+Total WithdrawalsTotal Inflows \text{Simple Return} = \frac{\text{Final Value} - \text{Total Inflows} + \text{Total Withdrawals}}{\text{Total Inflows}}
Simple Return=12500−12000+100012000=0.125=12.5% \text{Simple Return} = \frac{12500 - 12000 + 1000}{12000} = 0.125 = 12.5\%
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Money Weighted Rate of Return
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