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Average Life of a Bond: Understanding Weighted Repayment Timelines
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3 min Read
10 Dec 2020
average life
bonds
investment

Introduction

The Average Life of a bond, also referred to as Weighted-Average Life (WAL), is a measure that indicates the average amount of time it will take for a bond’s principal to be repaid. This concept is especially relevant in bonds where the principal is repaid over time, rather than in a lump sum at maturity.

It is commonly used in the analysis of amortising bonds, mortgage-backed securities (MBS), and structured finance instruments, where principal repayments are scheduled over multiple periods. For investors and analysts, average life is a key metric for understanding cash flow timing, interest rate sensitivity, and portfolio duration.

What Is Average Life?

  • Average life tells investors the average time, in years, it will take to recover the invested principal. It accounts for when and how much principal is repaid, giving a weighted timeline of repayment.
  • In bonds with amortising features, principal is repaid in parts over the life of the bond. In such cases, the average life helps investors estimate how long their capital remains at risk and how soon it may be returned.
  • It is different from the maturity date, which marks the final payment of principal. Average life often falls shorter than maturity in amortising instruments because repayments start before the final date.

Why Is Average Life Important?

  • It helps estimate duration and interest rate risk of a bond.
  • Assists investors in comparing bonds with different repayment structures.
  • Useful in cash flow planning, especially for banks, NBFCs, and mutual funds managing asset-liability duration.
  • Aids in understanding how sensitive the bond is to market rate movements.

In the Indian financial market, average life is particularly useful when analysing instruments like NBFC-issued debentures, housing loan-backed securities, and infrastructure bonds with periodic principal repayments.

Use in Amortising Bonds

In amortising bonds:

  • The principal is repaid in instalments, alongside interest payments.
  • Each repayment carries a time-weighted value based on how far into the term it is made.
  • Average life provides the weighted average time of these repayments.
  • This is different from bullet bonds, where the entire principal is repaid at maturity, and the average life equals the maturity period.

How to Calculate Average Life

The average life is calculated using the following formula:

Average Life = Weighted Total of Principal × Time / Face Value of the Bond

Here, the weighted total refers to the sum of all principal payments multiplied by the time (in years) at which they occur.

This gives a more accurate picture of when principal is returned to the investor, which in turn impacts decisions on portfolio liquidity, reinvestment strategy, and interest rate exposure.

Average Life vs Duration

While both average life and duration measure time-based risk, they are not the same:

  • Average Life focuses solely on principal repayment timelines.
  • Duration measures the sensitivity of the bond’s price to interest rate changes, factoring in both principal and interest payments.
  • Average life is particularly useful for loan-backed securities, while duration is broader and used in standard bond analysis.

Relevance in Indian Fixed-Income Market

In India, investors deal with a wide range of instruments with different repayment profiles, such as:

  • Securitised loan pools
  • Pass-through certificates (PTCs)
  • Amortising bonds issued by NBFCs or housing finance companies

For such instruments, knowing the average life is crucial for:

  • Estimating liquidity needs
  • Valuing instruments under changing interest rate conditions
  • Matching investment horizons with cash flow expectations

Conclusion

The Average Life of a bond gives investors a practical insight into how long their capital remains invested before being repaid. It is an essential tool in evaluating amortising instruments, and plays a key role in understanding duration risk, cash flow timing, and portfolio alignment. In India, where structured and amortising instruments are gaining popularity, investors and institutions must become familiar with metrics like average life to make informed, time-sensitive investment decisions.

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