Below is a table for the present value of $1 at compound interest. Income from N
ID: 2385233 • Letter: B
Question
Below is a table for the present value of $1 at compound interest.
Income from Net cash
Year operations flow
1 $100,000 $180,0000
2 $40,000 120,000
3 40,000 100,000
4 10,000 90,000
5 10,000 120,000
Below is a table for the present value of an annuity of $1 at compound interest.
Year 6% 10% 12%
1 .943 .909 .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 net present value (rounded to the nearest dollar) of the investment cash inflows, (assuming an earnings rate of 12%)?
a. $22,190
b. $21,259
c. $20,352
d. $3,969
Explanation / Answer
PV of CFs = CF1+CF2+CF3+CF4 ie PV of CFs = 7000( 1/(1+12%)^1 + 1/(1+12%)^2 + 1/(1+12%)^3+1/(1+12%)^4) iePV of CFs = 7000*3.037 = $21,259 .................Ans (b)
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