1. Use the present worth analysis method to determine which alternative (A or B) one should chose. Assume that the interest i= 8% per year.
A | B | |
Frist Cost | $6500 | $12000 |
Annual Benefit | $2000 | $2300 |
Salvage Value | $1300 | $750 |
Useful Life in years | 5 | 10 |
a.) Compute the net present worth of alternative A.
$3630, $3780, $3985, or $4168
b.) Compute the net present worth of alternative B.
$3630, $3780, $3985, or $4168
c.) Which alternative should one choose?
Either alternative, Choose alternative A, Choose alternative B, or Choose neither alternative
a.) Computation of the net present worth of alternative A:
Particulars | Amount (A) |
Present Value factore
(8%) (B) |
Present Value (A X B) |
Annual Benefit | $2,000 | 3.993 | $7,986 |
Salvage Value | $1,300 | 0.681 | $885 |
Total Cash inflow | $8,871 | ||
Less: Frist Cost | $6,500 | 1.000 | $6,500 |
Net present worth | $2,371 |
b.) Computation of the net present worth of alternative B:
Particulars | Amount (A) |
Present Value factore
(8%) (B) |
Present Value (A X B) |
Annual Benefit | $2,300 | 6.710 | $15,433 |
Salvage Value | $750 | 0.463 | $347 |
Total Cash inflow | $15,780 | ||
Less: Frist Cost | $12,000 | 1.000 | $12,000 |
Net present worth | $3,780 |
c.) We should choose alternative B, beacuse it has higher Net Present worth.
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