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Sagot :
Answer:
Option 1
5.737126344%
Explanation:
to determine which option i would prefer today, i would need to determine the present value of offer 2
Present value is the sum of discounted cash flows
[tex]\frac{500,000}{1.07^{4} }[/tex] = $381,447.61
I would prefer the first option because its present value is greater than that of option 2
The interest rate that would make me indifferent between either options would be the interest at which the present value of $500,000 in 4 years is $400,000
$400,000 = [tex]\frac{500,000}{(1 + x)^{4} }[/tex]
$400,000[tex](1 + x)^{4}[/tex] = $500,000
500,000 / 400,000= (1 + x)^{4}
1.25 = (1 + x)^{4}
[tex]1.25^{0.25}[/tex] = 1 + x
x = 5.737126344%
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