# AgivenF: Annual value given Future value (Engineering Economics) In iemisc: Irucka Embry's Miscellaneous Functions

## Description

Compute A given F

## Usage

  1 2 3 4 5 6 7 8 9 10 11 12 13 AgivenF( F, n, i, frequency = c("annual", "semiannual", "quarter", "bimonth", "month", "daily") ) AF( F, n, i, frequency = c("annual", "semiannual", "quarter", "bimonth", "month", "daily") ) 

## Arguments

 F numeric vector that contains the future value(s) n numeric vector that contains the period value(s) i numeric vector that contains the interest rate(s) as a percent frequency character vector that contains the frequency used to obtain the number of periods [annual (1), semiannual (2), quarter (4), bimonth (6), month (12), daily (365)]

## Details

A is expressed as

A = F≤ft[\frac{i}{≤ft(1 + i\right)^n - 1}\right]

A

the "uniform series amount (occurs at the end of each interest period)"

F

the "future equivalent"

i

the "effective interest rate per interest period"

n

the "number of interest periods"

## Value

AgivenF numeric vector that contains the annual value(s) rounded to 2 decimal places

AF data.frame of both n (0 to n) and the resulting annual values rounded to 2 decimal places

## References

William G. Sullivan, Elin M. Wicks, and C. Patrick Koelling, Engineering Economy, Fourteenth Edition, Upper Saddle River, New Jersey: Pearson/Prentice Hall, 2009, page 135-136, 142, 164.

## Examples

 1 2 3 4 5 6 7 library("iemisc") # Example for equation 4-12 from the Reference text (page 135-136) AgivenF(309*10^6, 60, 0.5, "annual") # the interest rate is 0.5% per month and n is 60 months AF(309*10^6, 60, 0.5, "annual") # the interest rate is 0.5% per month and n is 60 months 

iemisc documentation built on Aug. 2, 2020, 9:07 a.m.