Valuation Methods
Capitalisation Factor (Annuity Present Value Factor)
Here you will find formulas, examples, and a practical calculator for the capitalisation factor. The page covers finite and perpetual horizons, worked examples, and the role of the factor in valuation.
The calculator returns the factor and also shows an illustrative value by multiplying the factor by the periodic income entered here.
What is the capitalisation factor?
The capitalisation factor is a present value factor. It shows by which factor a future recurring payment stream is multiplied in order to derive a present value today. In valuation practice, it is often referred to as the annuity present value factor.
The capitalisation factor is a computational building block within valuation work. Its meaning depends on the definition of the payment stream, the discount logic, the treatment of growth, the risk premium, and the time horizon.
In simplified form, value equals payment stream multiplied by the capitalisation factor. Different formulas apply to a finite horizon and to a perpetual annuity.
Discount factor
Before looking at the capitalisation factor itself, it is useful to revisit the basic idea of compounding and discounting.
If 100 monetary units are invested today at an interest rate of 10% for two years, the amount grows to 121 monetary units after two years. That is a compounding process.
If the value is instead discounted from year 2 back to the present date, the future amount is translated into present value.
Discount factor
1.1^-1 × 1.1^-1 ≈ 0.8264
The discount factor 1.1^-1 × 1.1^-1 works out to approximately 0.8264. The capitalisation factor builds on the same logic, but applies it to recurring payment streams rather than a single future amount.
Capitalisation factor with finite horizon
Formula
For a finite horizon, the capitalisation factor depends on the number of years, the growth rate, the interest rate, and any additional risk premium.
K = (1 - (1 + g)^n * (1 + i + r)^(-n)) / (i + r - g)
Here, n is the number of years, g is the growth rate of the payment stream, i is the interest rate, and r is an additional risk premium.
Worked example
Assume a recurring income stream of 100 monetary units for 30 years. The payment stream grows by 2% per year. The interest rate is 10% and the risk premium is 0%. Under these assumptions, the capitalisation factor is about 11.2. If that factor is multiplied by the periodic income of 100, the result is a value of about 1,120 monetary units.
Capitalisation factor for a perpetual annuity
Formula
For an unlimited horizon, the formula simplifies. In that case, the capitalisation factor is the reciprocal of the spread between interest rate plus risk premium and growth.
K = 1 / (i + r - g)
Worked example
Using the same assumptions as above, but with an unlimited horizon, the capitalisation factor is 12.5. If that factor is multiplied by the periodic income of 100, the result is a value of 1,250 monetary units.
Common mistakes
- Mixing gross and net quantities even though they have different economic meanings.
- Using growth, risk, or horizon as generic assumptions without reference to the valuation purpose.
- Treating the factor as objectively correct although it depends strongly on assumptions.
Questions for orientation
Is the capitalisation factor the same as the annuity present value factor?
In valuation practice, the terms are often used interchangeably. Both refer to a present value factor for recurring payments.
How does the factor relate to the capitalised earnings method?
The capitalisation factor is a computational component of the capitalised earnings method. It links sustainable payment streams to present value under the chosen assumptions.
Can I derive company or property value from the factor alone?
No. Without a proper derivation of cash flows, discount logic, growth, and valuation purpose, the result is not robust.
Do you want to assess the assumptions professionally?
I can help you derive discount rates, growth assumptions, and payment streams transparently, so that the capitalisation factor is applied in the correct context.