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Conoly Co. has identified an investment project with the following cash flows. If the discount rate is 10 percent, what is the present value of these cash flows? What is the present value at 18 percent and at 24 percent? Year 1, 2, 3, and 4 Cash Flow $1,200, 600, 855 and 1,480 respectively

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Final answer:

To calculate the present value of cash flows, use the present value formula: PV = CF/(1+r)^n. The present values at discount rates of 10%, 18%, and 24% are $1090.91, $496.69, and $621.17 respectively.

Step-by-step explanation:

To calculate the present value of the cash flows in the investment project, we use the present value formula:

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.

Using this formula, we can calculate the present value of the cash flows for the discount rates of 10%, 18%, and 24%.

Taking each cash flow and dividing it by the appropriate discount rate raised to the power of the year, we find the present values to be $1200/(1+0.10)^1 = $1090.91, $600/(1+0.10)^2 = $496.69, $855/(1+0.10)^3 = $621.17, $1480/(1+0.10)^4 = $980.86 at a discount rate of 10%; $1200/(1+0.18)^1 = $1016.95, $600/(1+0.18)^2 = $358.96, $855/(1+0.18)^3 = $431.11, $1480/(1+0.18)^4 = $657.14 at a discount rate of 18%; and $1200/(1+0.24)^1 = $967.74, $600/(1+0.24)^2 = $310.48, $855/(1+0.24)^3 = $350.38, $1480/(1+0.24)^4 = $488.89 at a discount rate of 24%.

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