X Company is trying to decide whether to continue using old equipment to make Product A or replace it with new equipment that will have lower operating costs. The following information is available: The new equipment will cost $50,000. Disposal value at the end of its 6-year useful life will be $5,500. The old equipment was purchased 3 years ago for $21,000. It can be sold immediately for $10,000 but will have zero disposal value in 6 years. Maintenance work, costing $4,000, will be necessary on the new equipment in Year 3. The new equipment will result in $9,000 of operating cost savings each year. Assuming a discount rate of 6%, what is the net present value of replacing the old equipment with the new equipment? [Note: Use the Present Value tables in the Coursepack.]
Statement for calculating NPV of replacing old equipment with new one | ||||
Particulars | Amount | Discounting factro | PV | |
Outflow | New equipment cost | -50000 | 1 | -50000 |
Inflow | Disposl value at end of 6th year | 5500 | 0.7049605 | 3877.283 |
(Discounting factor, 6% 6the year) | =1/(1.06)^6 | |||
Inflow | Sale of old equipment | 10000 | 1 | 10000 |
(sold at time 0, PV factor = 1) | ||||
Outflow | Maintenance cost at end of 3rd year | -4000 | 0.8396193 | -3358.48 |
(Discounting factor, 6% 3rd year) | =1/(1.06)^3 | |||
Operating cost savings each year | 9000 | 4.9173 | 44255.7 | |
( PV of Annuity , 6%, 6 years) | ||||
*(calculation attached in picture of annuity) | ||||
Net present value | 4774.506 |
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