In: Finance
How much more is a perpetuity of $1000 worth than an annuity of the same amount for 18 years? Assume an interest rate of 8% and cash flows at the end of each period.
Present value of perpetuity=Annual cash flows/interest rate
=1000/0.08
=$12500
Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate
=1000[1-(1.08)^-18]/0.08
=1000*9.37188714
=$9371.89(Approx)
Hence excess value=12500-9371.89
=$3128.11(Approx)