Lithium, Inc. is considering two mutually exclusive projects, X and Y. Project X costs $95,000 today (year 0) and is expected to generate $65,000 in year one and $75,000 in year two. Project Y costs $120,000 and is expected to generate $64,000 in year one, $67,000 in year two, $56,000 in year three, and $45,000 in year four. The firm's investors require a rate of return of 16% and the weighted average cost of capital is 13%. What is the net present value for Project Y

Respuesta :

Answer:

$52,521

Explanation:

As per Given Data

Project Y

Costs $120,000

Cash Inflows

Year 1       $64,000

Year 2      $67,000

Year 3      $56,000

Year 4      $45,000

Required rate of return = 16%

Weighted Average cost of Capital = 13%

Net Present Value

As we know Net Present value is calculated by discounting each years cash flows using using the Weighted Average cost of Capital.

Costs $120,000

Year       Cash Inflows    Discount factor 13%  Present values

Year 0      $(120,000)     (1+13%)^-0                 $(120,000)

Year 1       $64,000         (1+13%)^-1                  $56,640

Year 2      $67,000         (1+13%)^-2                 $52,471

Year 3      $56,000         (1+13%)^-3                 $38,811

Year 4      $45,000         (1+13%)^-4                 $27,599

Net present value                                            $52,521