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Joseph will start school on 9/1/14. He is expected to attend school for four years and will need to pay tuition of $50,000 on September 1st of each year. His uncle wants to make an investment on 9/1/10 that will provide sufficient funds for four years of tuition. Assuming he can earn 5% annually, how much must invest on 9/1/10.?

a. $27,282
b. $37,976
c. $104,167
d. $200,000
e. $153,156

Respuesta :

Tundexi

Answer:

e. $153,156

Explanation:

From 9/1/14, he needs $50,000 every year for 4 years to fund the tuition fees. Therefore, present value of the amount needed at 9/1/14 using the Present value of annuity due formula

= 50,000 * {1+ (1/(1.05)^4) } / 0.05 * (1.05)

= $186,162

$186,162 is the amount needed after 4 years. Amount you need to invest today to have this amount in four years = $186,162/(1.05)^4 = $186,162/1.21550625 = $153,156.40