Question

In: Accounting

Below is a table for the present value of $1 at compound interest. Year 6% 10%...

Below is a table for the present value of $1 at compound interest.

Year 6% 10% 12%
1 0.943 0.909 0.893
2 0.890 0.826 0.797
3 0.840 0.751 0.712
4 0.792 0.683 0.636
5 0.747 0.621 0.567


Below is a table for the present value of an annuity of $1 at compound interest.

Year 6% 10% 12%
1 0.943 0.909 0.893
2 1.833 1.736 1.690
3 2.673 2.487 2.402
4 3.465 3.170 3.037
5 4.212 3.791 3.605



Using the tables above, if an investment is made now for $20,000 that will generate a cash inflow of $7,000 a year for the next 4 years, what would be the present value of the investment cash inflows, assuming an earnings rate of 12%?

Solutions

Expert Solution

Present value of the investment cash inflows= $21,266

Year Net Cash Flow Present value Discounting factor at 12% Discounted Cash Flow
1 $               7,000.00 0.893 $            6,251.00
2 $               7,000.00 0.797 $            5,579.00
3 $               7,000.00 0.712 $            4,984.00
4 $               7,000.00 0.636 $            4,452.00
Present value of the investment cash inflows $          21,266.00

Net present value = $1266


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