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
