Amortizing Loan - Weighted-average Life

Weighted-average Life

The number weighted average of the times of the principal repayments of an amortizing loan is referred to as the weighted-average life (WAL), also called "average life". It's the average time until a dollar of principal is repaid.

In a formula,

where:

  • is the principal,
  • is the principal repayment in coupon, hence
  • is the fraction of the principal repaid in coupon, and
  • is the time from the start to coupon .

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