Question

A beach house in Southern California now costs $350,000. Inflation is expected to cause this price to increase at 5 percent per year over the next 20 years before Eric and Corinna retire from successful careers in commercial art. How large an equal annual end-of-year deposit must be made into an account paying an annual rate of interest of 13 percent in order to buy the beach house upon retirement

Answer 1

Answer:

Annual deposit= $7,648.27

Explanation:

Giving the following information:

A beach house in Southern California now costs $350,000.

Inflation rate= 5% per year

Interest rate= 13% annual

Number of years= 20

We need to find an annual payment to be made at the end of each year to reach the $350,000 goal.

We need to use the following formula of the future value:

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

Real interest rate= 0.13 - 0.05= 008

A= (350,000*0.08) / [(1.08^20) - 1]= $7,648.27