PV_post_mood_pm {AnnuityRIR}

Compute the present expected value of an n-payment annuity, with payments of 1 unit each made at the end of every year (annuity-immediate), valued at the rate X, with the method of Mood et al. using some positive moments of the distribution.

Description

Compute the present expected value of an n-payment annuity, with payments of 1 unit each made at the end of every year (annuity-immediate), valued at the rate X, with the method of Mood et al. using some positive moments of the distribution.

Usage

PV_post_mood_pm(data,years)

Arguments

data

A vector of interest rates.

years

The number of years of the income. Default is 10 years.

Author(s)

Salvador Cruz Rambaud, Fabrizio Maturo, Ana María Sánchez Pérez

Source

Mood, A. M.; Graybill, F. A. and Boes, D. C. (1974). Introduction to the Theory of Statistics (3rd Ed.). New York: McGraw Hill.

Rice, J. A. (1995). Mathematical Statistics and Data Analysis (2nd Ed.). California: Ed. Duxbury Press.

Cruz Rambaud, S.; Maturo, F. and Sánchez Pérez A. M. (2017): “Expected present and final value of an annuity when some non-central moments of the capitalization factor are unknown: Theory and an application using R”. In Š. Hošková-Mayerová, et al. (Eds.), Mathematical-Statistical Models and Qualitative Theories for Economic and Social Sciences (pp. 233-248). Springer, Cham. doi:10.1007/978-3-319-54819-7_16.

Examples

#example 1
data=c(0.298,0.255,0.212,0.180,0.165,0.163,0.167,0.161,0.154,
0.128,0.079,0.059,0.042,-0.008,-0.012,-0.002)
PV_post_mood_pm(data)

# example 2
data<-rnorm(n=30,m=0.03,sd=0.01)
PV_post_mood_pm(data)

# example 3
data = c(1.77,1.85,1.85,1.84,1.84,1.83,1.85,1.85,1.88,1.85,1.80,1.84,1.91,1.85,1.84,1.85,
1.86,1.85,1.88,1.86)
data=data/100
PV_post_mood_pm(data)