An engineer signs a contract to work in Hong Kong for 5 years. The contract specifies that at the end of his 5 years of service, he will receive $90,000 at the end of each of the following 3 years. Assume funds earn 6% compounded annually. (a) Find the amount needed at the end of his 5 years of service to fund the payments. (b) Find the end-of-year payment into a sinking fund needed to accumulate this amount. *   $240,570.90; $42,677.28 $250,570.90; $45,677.28 $42,677.28; $240,570.90 Other:

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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. An engineer signs a contract to work in Hong Kong for 5 years. The contract specifies that at the end of his 5 years of service, he will receive $90,000 at the end of each of the following 3 years. Assume funds earn 6% compounded annually. (a) Find the amount needed at the end of his 5 years of service to fund the payments. (b) Find the end-of-year payment into a sinking fund needed to accumulate this amount. *

 

$240,570.90; $42,677.28

$250,570.90; $45,677.28

$42,677.28; $240,570.90

Other:

Expert Solution
Step 1

a.

Present value = Amount*(1-(1+rate)^-years)/Rate)

Present value = $90,000*(1-(1+6%)^-3) / 6%)

Present value =  $90,000 * 2.67301

Present value = $240,570.90

Answer: $240,570.90 

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