Annuity, Perpetuity, and Time-Value Rules

Annuity, perpetuity, and shortcut time-value rules used in finance calculations.

Annuity, Perpetuity, and Time-Value Rules covers annuity, perpetuity, and shortcut time-value rules used in finance calculations.

Use these pages when timing, risk, reinvestment, discount rates, or forecast cash flows change the value conclusion. It sits inside Time Value, Present Value, and Compounding, so readers can move up when the broader valuation context matters.

Use the table below to choose the narrower valuation branch before relying on a model input, market multiple, forecast, risk premium, price signal, or recommendation.

What This Branch Covers

AreaUse it for
PerpetuityValues an indefinite level or growing cash-flow stream while testing timing, discount-rate, growth, and sustainability assumptions.
Rule of 72Estimates doubling time from a constant effective periodic rate and provides a quick check against the exact logarithmic result.
Time Value of MoneyCompares cash flows at different dates through compounding, discounting, and a rate matched to the decision.

What to Check

  • Forecast period, free cash flow definition, terminal value method, discount rate, reinvestment assumption, and valuation date.
  • Nominal versus real inputs, pre-tax versus after-tax cash flows, currency, inflation, and timing convention.
  • NPV, IRR, MIRR, payback, annuity, perpetuity, present value, and compounding formula inputs.
  • Scenario, sensitivity, hurdle rate, risk premium, risk-free rate, beta, and cost-of-capital support.
  • Effect on capital budgeting, deal economics, impairment analysis, project approval, or intrinsic value.

Common Mistakes

  • Mixing nominal discount rates with real cash flows.
  • Using accounting earnings when the model requires cash flow.
  • Treating IRR as superior without checking scale, timing, and reinvestment assumptions.
  • Ignoring terminal value sensitivity and forecast uncertainty.

Discounting and cash-flow content is educational and does not provide investment, tax, accounting, project-approval, appraisal, or valuation advice.

In this section

Choose a subsection first. Deeper term pages live inside each subsection, which keeps large topic hubs readable.

Perpetuity

A perpetuity is an indefinite cash-flow stream whose present value depends on payment timing, discount rate, growth, and sustainable assumptions.

Rule of 72

The Rule of 72 estimates how many periods a balance needs to double at a constant compound rate, but exact timing depends on the rate convention.

Time Value of Money

Time value of money compares cash flows at different dates using compounding, discounting, cash-flow timing, and a rate suited to the decision.

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