Question

Williamsburg Nursing Home is investing in a restricted fund for a new assisted-living home that will cost $6 million. How much money do they need to invest each year to have $6 million in fifteen years? If the expected rate of return on the investment is 10%, and the hospital invests at the end of each year?

Answer 1

Annual deposit= $188,842.66

Step-by-step explanation:

Giving the following information:

Williamsburg Nursing Home is investing in a restricted fund for a new assisted-living home that will cost $6 million.

n= 15 years

i= 10%

We need to use the following formula:

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

A= annual deposit

Isolating A:

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

A= (6,000,000*0.10)/[(1.10^15)-1]

A= $188,842.66