iemisc (version 0.9.7)

AgivenF: Annual value given Future value (Engineering Economics)

Description

Compute A given F

Usage

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)]

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

Details

A is expressed as

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

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"

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

# NOT RUN {
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


# }