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Single Payment Compound Amount (SPCA) Factor

Last modified by
on
Sep 2, 2023, 1:11:43 PM
Created by
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Jan 8, 2014, 4:59:19 PM
SPCA=(1+i%)n
(n)Number of Periods
(i)Interest Rate
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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:

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.

This equation, Single Payment Compound Amount (SPCA) Factor, is used in 2 pages
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