Answer:
The Payback period of the Investment of $1.4m = $ years
Net Present Value (NPV) = $750,598.00.
Explanation:
The payback period is the expected number of years it will take for a company to recoup the cash it invested in a project.
Net present value (NPV) of a project represents the change in a company's net worth/equity that would result from acceptance of the project over its life. It equals the present value of the project net cash inflows minus the initial investment outlay. It is one of the most reliable techniques used in capital budgeting because it is based on the discounted cash flow approach.
When net cash flows are even as in the example, i.e. when all net cash flows are equal use the formula:
NPV = R × 1 − (1 + i)-n/i − Initial Investment
In the above formula:
R is the net cash inflow expected to be received in each period;
i is the required rate of return per period (i.e. the hurdle rate, discount rate);
n are the number of periods during which the project is expected to operate and generate cash inflows.
Therefore, substituting for the figures in the equation =
Where:
Initial Investment = $1,400,000.00
R = $350,000.00
i = 10%
n = 10years
∴ Apply the formula
NPV = R × 1 − (1 + i)-n/i − Initial Investment
NPV = $350,000.00 x 1 - (1 + 0.10)[tex]{-10}[/tex]/0.10 - $1,400,000.00
NPV = $350,000.00 x 1 - (1.10)[tex]{-10}[/tex][tex]{-10}[/tex]/0.10 - $1,400,000.00
NPV = $350,000.00 x 1 - (0.385543/0.10) - $1,400,000.00
NPV = $350,000.00 x 1 - 0.385543/ 0.10 - $1,400,000.00
NPV = $350,000.00 x 0.6144567/0.10 - $1,400,000.00
NPV = $350,000.00 x 6. 144567 - $1,400,000.00
NPV = $2,150,598.00 - $1,400,000.00
NPV = $750,000.45