Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

You are selling an asset. you can earn an interest rate of 7% per yer on your savings. You receive the following two (risk less) offers:

Offer 1: receive $400,000 today
Offer 2: Receive $500,000 in 4 years

a. Which offer should you choose?
b. At what interest rate would you be indifferent between the two offers?

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%

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.