Reference no: EM132477775
You have the opportunity to join a group of investors who are buying one of the islands in Boston Harbor. Each investor must make a total of 20 payments. The first payment is $125,000 and must be paid today. After that, the remaining 19 payments are due at the end of each year and increase 3% per year, every year.
If the interest rate is 5% and you decide to invest in the island, what is the present value of the amount that you will pay?
On my answer key provided by my professor it says that this question can be solved in two ways using the PV of a growing annuity formula of PV= C x (1/r-g)(1-(1+g/1+r)n )...
PV = 125,000 x 1/(.05-.03) x [1- (1.03/1.05)20] x 1.05 = $1,995,598 x 1.05 = $2,095,378
OR
PV = 125,000 + 125,000 x 1.03 x 1/(.05-.03) x [1- (1.03/1.05)19] = $125,000 + 1,970,378 = $2,095,378