You will be receiving cash flows of: $1,000 today, $2,000 at end of year 1, $4,000 at end of year

3, and $6,000 at end of year 5. What is the present value of these cash flows at an interest rate of 7%?

A. $9,731.13
B. $10,412.27
C. $10,524.08
D. $11,524.91

The present value of the cash flows that you will be receiving at a 7% interest rate is B. $10,412.27.

Data and Calculations:

Year    Expected Cash   PV Factor     Present Value

Year 0         $1,000                   1              $1,000.00

Year 1         $2,000           0.9346              1,869.20

Year 3        $4,000            0.8163             3,265.20

Year 5       $6,000            0.7130              4,278.00

Total         $13,000                                  $10,412.40

The present value of future cash flows is computed by multiplying the cash flows by each period's discount factor, which is a product of the rate of interest and the period.

Thus, in this case, the present value of the cash flows you will receive is B. $10,412.27.

Learn more: calculating the present values of future cash flows here: link

Option "B" is the correct answer to the following statement.

Explanation:

Given:

Today invested amount = $1,000

1st payment(C1) = $2,000

2nd payment(C2) = $4,000

3rd payment(C3) = $6,000

Interest rate(r) = 7% = 0.07

Present value ( PV ) = ?

Computation of Present value:

Total present value = $1,000 + 9412.272

= $10,412.272

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