Question

Lucy has decided to save for a vacation in 18 months. She will save the money into a short-term investment account returning 4% annually. How much will she have to put away at the beginning of each month if the vacation cost is $15,000

Answer 1

Monthly deposit= $810.20

Step-by-step explanation:

Giving the following information:

Number of periods (n)= 18 months

Interest rate (i)= 0.04/12= 0.0033

Future value (FV)= $15,000

To calculate the monthly deposit, we need to use the following formula:

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

A= monthly deposit

Isolating A:

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

A= (15,000*0.0033) / [(1.0033^18) - 1]

A= $810.20