Question

Paul bought a 15-year treasury bond for a face amount of $600. The 2.5% interest will be compounded quarterly. What will the future value of Patrick's investment be when he goes to cash it in on the maturity date 15 years from now?

Answer 1

871.53

Explanation:

Answer 2

First, we convert the interest such that it is compounded annually. The formula would be:

ieff = (1 + i/m)^m - 1
where m = 4, since there are 4 quarters in a year
ieff = (1 + 0.025/4)^4 - 1
ieff = 0.0252

Then we use this for this equation:
F = P(1 + i)^n, where F is the future worth, P is the present worth and n is the number of years
F = $600(1 + 0.0252)^15
F = $871.53