perpetuity.arith {FinancialMath} | R Documentation |
Arithmetic Perpetuity
Description
Solves for the present value, amount of the first payment, the payment increment amount per period, or the interest rate for an arithmetically growing perpetuity.
Usage
perpetuity.arith(pv=NA,p=NA,q=NA,i=NA,ic=1,pf=1,imm=TRUE)
Arguments
pv |
present value of the annuity |
p |
amount of the first payment |
q |
payment increment amount per period |
i |
nominal interest rate convertible ic times per year |
ic |
interest conversion frequency per year |
pf |
the payment frequency- number of payments per year |
imm |
option for annuity immediate or annuity due, default is immediate (TRUE) |
Details
Effective Rate of Interest:
Perpetuity Immediate:
Perpetuity Due:
Value
Returns a matrix of input variables, and calculated unknown variables.
Note
One of pv, p, q, or i must be NA (unknown).
Author(s)
Kameron Penn and Jack Schmidt
See Also
Examples
perpetuity.arith(100,p=1,q=.5,i=NA,ic=1,pf=1,imm=TRUE)
perpetuity.arith(pv=NA,p=1,q=.5,i=.07,ic=1,pf=1,imm=TRUE)
perpetuity.arith(pv=100,p=NA,q=1,i=.05,ic=.5,pf=1,imm=FALSE)
[Package FinancialMath version 0.1.1 Index]