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(1 point) The capitalized cost of an assset is the sum of the original cost of the asset and the present value of maintaining the asset. Suppose a company is considering the purchase of two different machines. Machine 1 costs $20000 and t years from now will cost MI (t) = 4000(1 + 0.08 dollars to maintain. Machine 2 costs only $6000, but its maintenance cost at time t is M2() = 4300 dollars. If the cost of money is 5% per year compounded continuously, what is the capitalized cost of each machine? Machine 1 cost: dollars. Machine 2 cost dollars.

Explanation / Answer

Maintenance costs of each machine will be discounted back to the present value after multiplying by discount factor, (e^-.05*t).

for example: for t = 1 , discount factor = (e^-.05*1) = 0.951229425

So, PV of maintenance cost of A = 4,000* (1.08) * (0.951229425) = 4,109.31

      PV of maintenance cost of B = 4,300 * (0.951229425) = 4,090.29

Total cost of A for year 1 = 20,000 + 4,109.31 = $ 24,109.31

Total cost of B for year 1 = 6,000+4,090.29 = $10,090.29