Question

You would like to have $50,000 saved at the end of Year 5. At the end of Year 2, you can deposit $7,500 for this purpose. If you earn 4.5 percent, how much must you deposit today to reach your goal assuming no other deposits are made

Answer 1

Answer:

The amount that should be deposited today is $33254.58

Explanation:

The deposit should be such that the future value of the deposit made today and at the end of year 2 should be equal to $50000 after 5 years. Let the deposit made today be x. The equation for the future value will be,

50000 = x * (1+0.045)^5  +  7500 * (1+0.045)^3

50000 = x *  (1.045)^5  +  8558.745938

50000 - 8558.745938  =  x * (1.045)^5

41441.25406 / (1.045)^5  =  x

x = $33254.57769 rounded off to $33254.58