Question

In: Finance

What is the most you are willing to pay today for an investment that would return...

What is the most you are willing to pay today for an investment that would return $300 1 year from today?

                         $300 2 years from today,

                         $300 3 years from today,

                         $300 4 years from today,

                         $300 5 years from today,

                         $300 6 years from today,

                         $300 7 years from today,

                         $300 8 years from today,

                         $300 9 years from today,

                         $300 10 years from today,

                         $300 11 years from today?

Assume all investments earn an annual interest rate of 10%, compounded

Solutions

Expert Solution

Max Amount that can be paid = PV of CF

PV of CF = CF * PVF(r%, n)

PVF(r%, n) = 1 / ( 1+r)^n

Where n is Int rate per period
n - No. of periods

Assuming Yearly compounding.

PV of Cfs:

Year CF PVF @10% PV of CF
               1 $ 300.00 0.909091 272.7273
               2 $ 300.00 0.826446 247.9339
               3 $ 300.00 0.751315 225.3944
               4 $ 300.00 0.683013 204.904
               5 $ 300.00 0.620921 186.2764
               6 $ 300.00 0.564474 169.3422
               7 $ 300.00 0.513158 153.9474
               8 $ 300.00 0.466507 139.9522
               9 $ 300.00 0.424098 127.2293
            10 $ 300.00 0.385543 115.663
            11 $ 300.00 0.350494 105.1482

Pls do rate, if the answer is correct and comment, if any further assistance is required.


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