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4-4 A government monument is expected to last forever. The first cost is $5,000,000. At the end of year 7 there will be a one
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Answer #1

I = 4%

initial cost = 5000000

Annual O&M = 15000

Remodeling every 12 years = 500000

One time modeling at 7 years = 300000

Capitalized cost = -5000000 - 15000/0.04 - 300000*(P/F,4%,7) - [500000*(A/F,4%,12)] / 0.04

= -5000000 - 375000 - 300000*0.759917 - [500000*0.0665521] / 0.04

= -13921987.60

Therefore capitalized cost is 13921988

(A/P,4%,infinite) = i = 0.04

EUAC = 5000000*(A/P,4%,infinite) + 15000 + 300000*(P/F,4%,7)(A/P,4%,infinite) + 500000*(A/F,4%,12)

= 5000000*0.04 + 15000 + 300000*0.759917*0.04 + 500000*0.0665521

= 556879.50

Cash flow

13141516171819202122231 1 2 3 4 5 6 8 9 10 11 5,00,000.00 10,00,000.00 15,00,000.00 20,00,000.00 Remodeling every 12 years On

Annual cost and remodeling every 12 year Cash flow will keep on repeating until an infinite period.

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