`SPCA = (1 + i%)^n `

Enter a value for all fields

The Single Payment Compound Amount (SPCA) Factor calculator computes the SPCA based on the interest rate per period and the number of periods.

INSTRUCTIONS: Enter the following:

• (i) Interest Rate
• (n) Number of Periods

Single Payment Compound Amount (SPCA): The calculator returns the factor as a real number.

The Math / Science

The formula for the Single Payment Compound Amount Factor is:

    SPCA = (1+i)ⁿ

where:

• SPCA is the Single Payment Compound Amount factor
• i is the interest rate per period
• n is the number of periods (e.g. cash flow periods)

This equation solves for the single payment compound amount factor.  The SPCA is useful when payment is to be made for n periods. The future worth (principal plus interest) is calculated using the SPCA factor.    symbol:   (F/P,i%,n)

EXAMPLE

This is to say that $1 present value has future worth = (SPCA * payment)  at period n if invested at i%

REFERENCE

• Lindeburg, Michael R (1992). Engineer In Training Reference Manual. Professional Publication, Inc. 8th Edition.