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At an annual interest rate of 6%, which would you prefer; three annual year-end cash flows...

At an annual interest rate of 6%, which would you prefer; three annual year-end cash flows of $250 each with the first cash flow one year from today or $668.25 today? Why? (You could be indifferent.) Respond to a classmate who has a different preference and provide an argument against his preference. Note: If everyone has the same preference, you do not need to respond to a classmate.

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Answer #1

The present value of a future cash flow = future cash flow / (1 + r)n,

where r = annual rate of interest

n = number of years

The present value of $250 for 3 years @ 6% = $250 / (1 + 6%)1 +   $250 / (1 + 6%)2 +    $250 / (1 + 6%)3

The present value of $250 for 3 years @ 6% = $668.25

The present value of $668.25 and the amount receivable today ($668.25) are equal. Hence, we are indifferent between the two options

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