Winston enterprises would like to buy some additional land and build a new facto

Question

Winston enterprises would like to buy some additional land and build a new factory. The anticipated total cost is $158.82 million. The owner of the firm is quite conservative and will only do this when the company has sufficient funds to pay cash for the entire expansion project. Managment has decided to save $590,000 a month for this purpose. The firm earns 6 percent compounded monthly on the funds it saves. How long does the company have to wait before expanding its operations?
-168.61 months -134.60 months -170.69 months -222.25 months -269.19 months Winston enterprises would like to buy some additional land and build a new factory. The anticipated total cost is $158.82 million. The owner of the firm is quite conservative and will only do this when the company has sufficient funds to pay cash for the entire expansion project. Managment has decided to save $590,000 a month for this purpose. The firm earns 6 percent compounded monthly on the funds it saves. How long does the company have to wait before expanding its operations?
-168.61 months -134.60 months -170.69 months -222.25 months -269.19 months
-168.61 months -134.60 months -170.69 months -222.25 months -269.19 months

Explanation / Answer

future value = 158,820000

=>

590000 * [(1+6%/12)^n-1]/6%/12 = 158820000

=>

number of months it has to wait n = 170.69 months

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