Engineering Economy Problems
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ชื่อ.................................................................. เลขประจำตัว....................................Sec….1 Engineering Economy Problems II 1. Find the value of x such that the positive cash flows will be exactly equivalent to the negative cash flows if interest rate is 15% per year ( 2,277.23 ) $ 800 1 2 $800 1,200 $800 888800 1,000 3 4 5 6 7 8 9 10 Year 0 $ 500 x 2x Solution: ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… 2. Find the value of x in the diagram below that would make the equivalent present worth of the cash flow equal to $22,000, if the interest rate is 15% per year. ( 91,373.23 ) P = $ 22,000 x A = $ 950 1 2 3 4 5 6 7 8 9 10 11 0 Year Solution: ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… 2 3. Find the value of G in the diagram below that would make the income stream equivalent to the disbursement stream, using an interest rate of 20% per year. (1,457.17) A = $200 22200600 0 1 2 3 4 5 6 7 8 9 10 11 12 12 G Year 2G 3G 4G Solution: ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… 4. Solve for the value of G such that the left cash-flow diagram is equivalent to the one on the right. Use an interest rate of 12% per year. (877.60) $7,000 4G $1,000 G 2G 3G Year 0 1 2 3 4 5 6 0 1 2 3 4 5 6 7 Solution: ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… Year 3 5. Solve for the value of x, using an interest rate of 12% per year. (789.24) 0 1 2 3 4 5 Year = 0 1 2 3 4 5 6 x X+5 $1,300 X+100 X +150 X +200X +250 X +300 Solution: ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… 6. For the diagram shown below, find the value of x that will make the negative cash flows equal to the positive of $800 at time 0. Assume i = 15% per year. (818.68) $800 0 1 2 3 4 $100 Year $150 $200 X Solution: ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… 4 7. Find the future worth (on month 9) of the cash flow shown in the figure below, using an interest rate of 1% per month. ( 5,141.64 ) F=? 0 1 2 3 4 5 6 7 $800 $900 8 9 $1,000 $1,100 $1,200 Solution: ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… 8. Find the present worth of the cash flow shown below at i = 20% per year. (950 ) $ 150 $ 200 $ 250 $ 300 $ 100 0 1 2 3 4 $ 250 $ 200 $ 150 $ 100 5 6 7 8 9 10 11 12 13 Year Solution: ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………….. 5 9. Find the present worth of the cash flow shown below at i = 20% per year. ( - 4,548.45 ) $700 $200 0 1 2 3 4 5 6 7 8 9 10 Year $300 $1,000 $800 $1,200 $1,400 $1,600 $1,300 $1,800 Solution: ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………….. 10. Compute the present worth and future worth of the cash flows shown below if i = 16%. ( -19,869.48) 0 1 2 3 4 5 6 7 8 9 10 Year $1,000 $1,500 $2,000 $2,500 $3,000 Solution: ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… ………………………………………………………………………………………… 6
