Question

in the third year of a project, the costs are $5,000 and the savings are $23,000. what is the present value of this cash flow assuming an interest rate of 9.5%

Answer 1

To find the present value of the cash flow, we need to use the formula for the present value of a future cash flow, which takes into account the time value of money and the interest rate. The formula is:

PV = FV / (1 + r)^n

Where PV is the present value, FV is the future value, r is the interest rate, and n is the number of periods.

In this case, the costs are a negative cash flow and the savings are a positive cash flow. So we can write the equation as:

PV = (-$5,000 + $23,000) / (1 + 0.095)^3

Simplifying the equation:

PV = $18,000 / 1.295

PV = $13,905.02

Therefore, the present value of the cash flow is $13,905.02.