# PV_pre_mood_pm: Compute the present expected value of an n-payment annuity,... In AnnuityRIR: Annuity Random Interest Rates

## Description

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

## Usage

 `1` ```PV_pre_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

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

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14``` ```#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_pre_mood_pm(data) # example 2 data<-rnorm(n=30,m=0.3,sd=0.01) PV_pre_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_pre_mood_pm(data) ```

AnnuityRIR documentation built on Nov. 17, 2017, 4:23 a.m.