a firm has an opportunity to invest $95,000 today that will yield $109,250 in one year. if interest rates are 3%, what is the net present value (npv) of this investment?

Respuesta :

Net Present Value of this investment $11067.96.

Net Present value is a technique which helps in determining whether the long-term project will be profitable or not. It is calculated by considering the present value of cash inflows minus present value of cash outflow.

Thus, NPV = Present value of cash inflow - Present value of cash outflow

Present value of cash outflow is taken at 0 year as outflow happens in the current year.

Present value of cash inflow = Cash inflow ÷ (1 + i)ⁿ

where, i = interest rate

and n is the no of years

Here, cash inflow is $109250 and cash outflow is $95000

Interest rate is 3%

Thus, NPV = ($109250 ÷(1+3%)) - $95000

= (109250 ÷ (1+0.03)) - 95000

= 106067.96 - 95000

= 11067.96

Thus, NPV is equal to $11067.96. If inflow is more than outflow i.e., npv is positive, it means that the project should be accepted. Thus, this project should be accepted.

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