Weighted return example
A portfolio starts with 60% in Asset A returning 8%, 30% in Asset B returning 4%, and 10% in Asset C returning 2%.
A: 0.60 × 8% = 4.80 percentage points
B: 0.30 × 4% = 1.20 percentage points
C: 0.10 × 2% = 0.20 percentage points
Total: 4.80% + 1.20% + 0.20% = 6.20%Asset A ranks first because it adds 4.80 of the portfolio’s 6.20 percentage-point return.
Performance with a mid-period deposit
Suppose a portfolio starts at $10,000 on 1 January, receives a $2,000 deposit on 1 July, and ends at $13,000 on 31 December.
Total gain = $13,000 − $10,000 − $2,000 = $1,000
Cash-flow equation: −$10,000 − $2,000/(1+r)^(181/365) + $13,000/(1+r)^(364/365) = 0
Money-weighted return (XIRR) ≈ 9.1% annualizedSimply treating all $12,000 as invested for the full year would ignore when the deposit arrived.