You are the financial manager for a recreation center that has signed an option to purchase new elliptical machines for $22,500 in two years. If you have an investment opportunity that guarantees 7% interest, how much must you invest to have the necessary funds to purchase the elliptical machines?
Present value of cost of machine at 7% rate of return | = | Cost of machine in 2 years * Discount factor | |||||||||
= | $ 22,500 | * | 0.873439 | ||||||||
= | $ 19,652.37 | ||||||||||
So, | Required investment should be $ 19,652.37 | ||||||||||
Working: | |||||||||||
Discount fcator | = | (1+i)^-n | Where, | ||||||||
= | (1+0.07)^-2 | i | 7% | ||||||||
= | 0.873439 | n | 2 | ||||||||
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