You just signed a consulting contract that will pay you $38,000, $52,000, and $85,000 annually at the end of the next three years, respectively.
What is the present value of these cash flows given a discount rate of 10.5%?

Respuesta :

Answer:

The present value of these cash flows is $139975.08

Explanation:

Given:

Annually cash [tex]P = \$ 38000 , \$ 52000 , \$ 85000[/tex]

Discount rate [tex]I= 10.5\% = 0.105[/tex]

From the formula of present value,

   [tex]A = \frac{P}{(1 + I)^{n} }[/tex]

Where [tex]n = 1,2,3.......[/tex]

    [tex]A = \frac{38000}{(1 + 0.105)^{1} } + \frac{52000}{(1+0.105)^{2} } + \frac{85000}{(1 + 0.105 )^{3} }[/tex]

By calculating above equation we get present value of cash,

    [tex]A = \$ 139975.08[/tex]

Therefore, the present value of these cash flows is $139975.08

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