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Pension Liability Present Value Calculator

Work out pension liability present value instantly with clear inputs, formula shown and shareable results.

About Pension Liability Present Value Calculator

A pension promise is a long, indexed stream of payments. Discounting each indexed instalment gives the liability that must sit on the balance sheet, and the Macaulay duration shows how sharply that liability moves when the discount rate changes.

Formula

Indexed liability

PV = Σ A(1+g)^(k-1) / (1+r)^k

A
First payment
g
Indexation
r
Discount rate
k
Year

Worked example

With the default values below, Pension Liability Present Value Calculator returns Present Value Of Pension Liability of $926,611.58. Change any input above and every figure here is recalculated in your browser.

Inputs used

Annual Pensionminimum 0
60,000
Years Of Paymentaccepts 1–70
25
Discount Rateaccepts 0–100 %
6 %
Annual Indexationaccepts 0–100 %
2 %

Results

Present Value Of Pension Liability
$926,611.58
Total Nominal Payments
$1,921,817.98
Macaulay Duration
11.03 years
Reduction From Discounting
$995,206.41

Step by step

  1. 1Values used
  2. 2Indexed liability
  3. 3Present Value Of Pension Liability= 926,611.58
  4. 4Total Nominal Payments= 1,921,817.98
  5. 5Macaulay Duration= 11.03 years
  6. 6Reduction From Discounting= 995,206.41

Assumptions and limits

  • The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax or fees or charges into account.
  • Figures are rounded for display to 2 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
  • Figures are estimates for planning only. Rates, mortality and market assumptions change. This is not financial, actuarial or tax advice.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Figures are estimates for planning only. Rates, mortality and market assumptions change. This is not financial, actuarial or tax advice.

Frequently Asked Questions

Why does a small change in the discount rate matter so much?

Duration is typically 10-15 years, so a 1-point fall in the rate can raise the liability by more than 10%.

Should the discount rate be a bond yield?

Accounting standards generally require a high-quality corporate bond yield of matching duration rather than an expected asset return.

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