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Cannonier, Inc., has identified an investment project with the following cash flows.

Yr 1 = 1030
Yr 2 = 1260
Yr 3 = 1480
Yr 4 = 2220
a) If the discount rate is 8%, what is the future value of these cash flows in Yr 2?
b) What is the future value at a discount rate of 11%?
c) What is the future value at a discount rate of 24%?

1 Answer

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Final answer:

The future value of the cash flows, use the present value formula. For a discount rate of 8%, the future value in Year 2 is $1,387.03. For a discount rate of 11%, the future value is $1,275.04. For a discount rate of 24%, the future value is $1,169.98.

Step-by-step explanation:

In order to calculate the future value of these cash flows, we need to use the present value formula. The present value formula is PV = CF / (1+r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of periods.

a) For the future value in Year 2 with a discount rate of 8%, we need to find the present value of Year 2 cash flow and then compound it for one year. PV = 1480 / (1+0.08)^2 = $1,283.11. FV = PV * (1+0.08) = $1,387.03.

b) For a discount rate of 11%, PV = 1480 / (1+0.11)^2 = $1,149.59. FV = PV * (1+0.11) = $1,275.04.

c) For a discount rate of 24%, PV = 1480 / (1+0.24)^2 = $943.43. FV = PV * (1+0.24) = $1,169.98.

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