Question

Zach wants to take his family on a cruise in 4 years and he estimates the cost of the cruise will be $16,500. How much money should he deposit each month into an account that pays 3.99% monthly in order to have the needed money?

Answer 1

Answer:

$118.83 per month that Zach must save.

Explanation:

This is a future value annuity as we know the cruise will cost $16500 in 4 years time as estimated by Zach for the cruise.

Fv is the future value for the annuity which is $16500

we also have i the interest rate which is 3.99% monthly

n is the number of periods in which the monthly amount is saved 4 x 12 =48

now we will substitute to the following formula and solve for C the monthly payments that Zach saves for the cruise:

Fv =C [((1+i)^n -1)/ i] now we substitute

$16500 = C[((1+3.99%)^48 -1)/3.99%)] then solve for C

$16500/[(1+3.99%)^48 -1)/3.99%] = C

C = $118.83 that Zach must save per month for 4 years to afford the cruise.