In: Finance
A fund is built with annual deposits increasing by 1 from 1 to 10 and then decreasing
by 1 to $0 at an annual effective interest rate of 6%. At the end of 29 yrs, the fund is
used to purchase a 9 yr annuity with level payment $Y at an annual effective interest
rate of 4% with first payment 30 yrs from today. Calculate Y.
The crux of the question is to realised that the deposit of year one of $1 will remain deposited for 29 years, deposit of $2 in year 2 will remain deposited for 28 years and so on. Then calculate the future value at the end of 29 years based on which the anuuity would be calculated.