Question

At Ava's second birthday, her grandparents wanted to pool their money to buy U.S. Treasury bonds that would ultimately provide $120,000 for college expenses in 16 years. If calculating a gain of 4% interest, what dollar amount in U.S. Treasury bonds will they need to buy on Ava's second birthday?

Answer 1

They would need to buy $64,068.981 in U.S treasury bonds on Ava's second birthday to ultimately provide $120,000 for college expenses in 16 years.

Step-by-step explanation:

The initial amount to be invested in order to yield $120,000 after 16 years can be expressed as;

F.V=P.V(1+R)^n

where;

F.V=future value of investment

P.V=present value of investment

R=annual interest rate

n=number of years

In our case;

F.V=$120,000

P.V=unknown

R=4%=4/100=0.04

n=16 years

replacing;

120,000=P.V(1+0.04)^(16)

120,000=P.V(1.04)^16

120,000=1.873 P.V

P.V=120,000/1.873

P.V=$64,068.981

They would need to buy $64,068.981 in U.S treasury bonds on Ava's second birthday to ultimately provide $120,000 for college expenses in 16 years.