Below is a table for the present value of $1 at Compound interest. Year 6% 10% 1
ID: 2430623 • Letter: B
Question
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 $18,150 that will generate a cash inflow of $6,050 a year for the next 4 years, what would be the net present value (rounded to the nearest dollar) of the investment, assuming an earnings rate of 10%?
$18,150
$1,029
$6,050
$19,179
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
Explanation / Answer
NPV is the difference of present value of future cash inflows in aggregate and the initial investment.
NPV = Present value of future cash flows – Initial investment
= ($6,050 × factor of 10% on 4th year in annuity table) - $18,150
= ($6,050 × 3.170) - $18,150
= $19,178.50 - $18,150
= $1,028.5
= $1,029 (Rounded)
Answer: 2nd option
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