Question

An investment promises to pay $500 each year for 15 years. Calculate the future value of this annuity under the following cir

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Answer #1
annual interest rate r 10%
annual payment quarterly payment monthly payment daily payment
amount to be paid per year $500 $125 $41.66666667 $1.369863014
time 15 60 180 5475
effective rate 10% 2.50% 0.83% 0.03%
FVA $15886 $16999 $17270 $17404

USE FORMULA =FV on the excel.

if this data is put on graph where x axis is number of payments in one year and y axis shows future value of investment

17600 17ᏎᎾ0 172ᎾᎾ 17ᎾᎾᎾ . 168ᎾᎾ 166ᎾᎾ 16ᏎᎾᎾ . 162ᎾᎾ . 16ᎾᎾᎾ 158ᎾᎾ . [ •100 [ 100 200 300 . 400

This chart shows that as number of payment increases in a year, future value increases at a fast pace as investment will compound that much time.

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