52.5k views
0 votes
how much must be deposited today to have $45,000 in 5 years with a quarterly compounding and an APR of 7.3%

1 Answer

2 votes

Answer:

$31,341.81

Explanation:

The compound amount equation is A = P(1 + r/n)^(nt), where P is the unknown principal, r is the annual interest rate, n is the number of compounding periods per year and t is the number of years. We want to solve this for P:

A

------------------- = P

(1 + r/n)^(nt)

Substituting the given numerical values;

$45,000

--------------------------- = P

(1+0.073/4)^(4*5)

Using a calculator, we evaluate this expression, obtaining: $31,341.81

User Oleksiy Chechel
by
5.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.