PgivenAcont: Present value given Annual value [continuous] (Engineering...
In iemisc: Irucka Embry's Miscellaneous Functions
PgivenAcont R Documentation
Present value given Annual value [continuous] (Engineering Economics)
Description
Compute P given A with interest compounded continuously
Usage
PgivenAcont(A, n, r)
Arguments
A
numeric vector that contains the annual value(s)
n
numeric vector that contains the period value(s)
r
numeric vector that contains the continuously compounded nominal
annual interest rate(s) as a percent
Details
P is expressed as
P = A\left[\frac{e^{rn} - 1}{e^{rn}\left(e^{r} - 1\right)}\right]
- P
the "present equivalent"
- A
the "annual equivalent amount (occurs at the end of
each year)"
- r
the "nominal annual interest rate, compounded
continuously"
- n
the "number of periods (years)"
Value
PgivenAcont numeric vector that contains the present value(s)
rounded to 2 decimal places
Author(s)
Irucka Embry
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 169.
Examples
library(iemisc)
PgivenAcont(2000, 3, 12) # the interest rate is 12%
iemisc documentation built on June 22, 2024, 9:45 a.m.
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| PgivenAcont | R Documentation |
Present value given Annual value [continuous] (Engineering Economics)
Description
Compute P given A with interest compounded continuously
Usage
PgivenAcont(A, n, r)
Arguments
A |
numeric vector that contains the annual value(s) |
n |
numeric vector that contains the period value(s) |
r |
numeric vector that contains the continuously compounded nominal annual interest rate(s) as a percent |
Details
P is expressed as
P = A\left[\frac{e^{rn} - 1}{e^{rn}\left(e^{r} - 1\right)}\right]
- P
the "present equivalent"
- A
the "annual equivalent amount (occurs at the end of each year)"
- r
the "nominal annual interest rate, compounded continuously"
- n
the "number of periods (years)"
Value
PgivenAcont numeric vector that contains the present value(s) rounded to 2 decimal places
Author(s)
Irucka Embry
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 169.
Examples
library(iemisc)
PgivenAcont(2000, 3, 12) # the interest rate is 12%
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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