Capital Recovery Calculator
Calculate the equal periodic payment needed to recover a present sum over time using the capital recovery factor formula.
What is Capital Recovery?
Capital recovery is a financial concept that determines the equal periodic payment needed to repay a present sum (principal) over a specified number of periods at a given interest rate. It is widely used in loan amortization, equipment financing, project evaluation, and engineering economics to spread a large upfront cost into manageable equal payments.
The capital recovery factor (CRF) converts a present value into an equivalent series of equal end-of-period payments. This is the same mathematics that underlies every standard mortgage, car loan, and student loan payment calculation. The formula accounts for both the return of the original principal and the cost of borrowing (interest). For investment tax implications, see our Capital Gains Calculator to understand how loan-related investments affect your tax position.
Capital Recovery Formula
The capital recovery formula calculates the periodic payment A required to recover a present amount P:
Where:
- A = Equal periodic payment
- P = Present value or principal amount
- i = Interest rate per period (as a decimal)
- n = Total number of payment periods
How to Use the Capital Recovery Calculator
Our calculator lets you solve for any unknown variable. Select what you want to calculate from the dropdown, enter the known values, and the result updates instantly.
- Periodic Payment (Solve for A): Enter the principal, interest rate, and number of periods to find the equal payment amount.
- Present Value (Solve for P): Enter the payment amount, interest rate, and periods to find the original principal.
- Number of Periods (Solve for n): Enter the principal, payment amount, and interest rate to find how many periods are needed.
Example Calculation
Suppose you take out a $10,000 loan at 8% annual interest to be repaid over 5 years. Using the capital recovery formula:
A = $10,000 × 0.08(1.08)5 / [(1.08)5 − 1]
A = $10,000 × 0.25046
A = $2,504.56 per year
Over 5 years, the total payments would be $12,522.82, of which $2,522.82 is interest and $10,000 is the principal recovery. For related financial planning, explore our Sinking Fund Calculator for future value savings and our Annuity Calculator for retirement income streams.
Frequently Asked Questions
What is the capital recovery factor?
The capital recovery factor (CRF) is the ratio i(1+i)^n / [(1+i)^n - 1] that converts a present sum into an equivalent series of equal end-of-period payments. It depends only on the interest rate and the number of periods, not on the dollar amount. Multiplying any present value by the CRF gives the periodic payment.
What is the difference between capital recovery and sinking fund?
Capital recovery converts a present amount (P) into equal periodic payments (A), used for loan repayment. A sinking fund converts a future target amount (F) into equal periodic deposits (A), used for saving toward a future goal. Both use the same interest rate and period count but work in opposite time directions.
How is capital recovery used in engineering economics?
In engineering economics, the capital recovery factor is used to spread a large initial capital cost over the useful life of a project or equipment. This allows engineers to compare alternatives on an annual cost basis, making it easier to evaluate projects with different upfront costs and lifespans.
Can the capital recovery formula be used for monthly payments?
Yes. To calculate monthly payments, divide the annual interest rate by 12 and multiply the number of years by 12. For example, a 5-year loan at 6% annual interest would use i = 0.06/12 = 0.005 and n = 5 x 12 = 60 months.
What happens if the interest rate is 0%?
If the interest rate is 0%, the capital recovery formula simplifies to A = P/n. The payment is simply the principal divided by the number of periods, with no interest component. Our calculator handles this edge case automatically.
Related Tools
Sort Pixels in Image
Passive Crossover Calculator
Llama Gestation Calculator
JSONPath Tester
Color Palette Generator
Random Prime Numbers Generator
Monod Kinetics Calculator
Utah Paycheck Calculator
Irr Calculator
Projectile Motion Calculator
Octal to Gray Code Converter
Apr Calculator
Reverse Unicode
Pie Chart Generator
Rate Constant Calculator
Equilateral Triangle Calculator
Generate Negalucas Numbers
Freezing Point Depression Calculator
Click Counter
Significant Figures Calculator