You have a process with the following parameters. What is the EUAW (EUAB-EUAC) for the process,...

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Economics

You have a process with the following parameters. What is theEUAW (EUAB-EUAC) for the process, given a 15% interest rate?

First cost: $1.7M
O&M costs for Year 1: $29,000
Cost gradient: +$750/year (Year 2 is 29,750; year 3 is 30,500,and so forth)
Annual benefit: $303,000
Salvage value: $210,000
Useful life, in years: 20

Answer & Explanation Solved by verified expert
3.8 Ratings (673 Votes)

EUAB = 303000

EUAC = 1700000*(A/P,15%,20) + 29000 + 750*(A/G,15%,20) - 210000*(A/F,15%,20)

= 1700000*0.159761 + 29000 + 750*5.365137 - 210000*0.009761

= 302567.74

EUAW = EUAB - EUAC = 303000 - 302567.74 = 432.26 ~ 432

Using Excel

Investment O&M cost Annual Benefit Salvage Net Cash flow
0 -17,00,000.00 -17,00,000.00
1 -29,000.00 3,03,000.00 2,74,000.00
2 -29,750.00 3,03,000.00 2,73,250.00
3 -30,500.00 3,03,000.00 2,72,500.00
4 -31,250.00 3,03,000.00 2,71,750.00
5 -32,000.00 3,03,000.00 2,71,000.00
6 -32,750.00 3,03,000.00 2,70,250.00
7 -33,500.00 3,03,000.00 2,69,500.00
8 -34,250.00 3,03,000.00 2,68,750.00
9 -35,000.00 3,03,000.00 2,68,000.00
10 -35,750.00 3,03,000.00 2,67,250.00
11 -36,500.00 3,03,000.00 2,66,500.00
12 -37,250.00 3,03,000.00 2,65,750.00
13 -38,000.00 3,03,000.00 2,65,000.00
14 -38,750.00 3,03,000.00 2,64,250.00
15 -39,500.00 3,03,000.00 2,63,500.00
16 -40,250.00 3,03,000.00 2,62,750.00
17 -41,000.00 3,03,000.00 2,62,000.00
18 -41,750.00 3,03,000.00 2,61,250.00
19 -42,500.00 3,03,000.00 2,60,500.00
20 -43,250.00 3,03,000.00 2,10,000.00 4,69,750.00
NPW 2,701.25
AW 431.56

Showing formula in Excel

Investment O&M cost Annual Benefit Salvage Net Cash flow
0 -1700000 =N8+O8+P8+Q8
1 -29000 303000 =N9+O9+P9+Q9
2 =O9-750 303000 =N10+O10+P10+Q10
3 =O10-750 303000 =N11+O11+P11+Q11
4 =O11-750 303000 =N12+O12+P12+Q12
5 =O12-750 303000 =N13+O13+P13+Q13
6 =O13-750 303000 =N14+O14+P14+Q14
7 =O14-750 303000 =N15+O15+P15+Q15
8 =O15-750 303000 =N16+O16+P16+Q16
9 =O16-750 303000 =N17+O17+P17+Q17
10 =O17-750 303000 =N18+O18+P18+Q18
11 =O18-750 303000 =N19+O19+P19+Q19
12 =O19-750 303000 =N20+O20+P20+Q20
13 =O20-750 303000 =N21+O21+P21+Q21
14 =O21-750 303000 =N22+O22+P22+Q22
15 =O22-750 303000 =N23+O23+P23+Q23
16 =O23-750 303000 =N24+O24+P24+Q24
17 =O24-750 303000 =N25+O25+P25+Q25
18 =O25-750 303000 =N26+O26+P26+Q26
19 =O26-750 303000 =N27+O27+P27+Q27
20 =O27-750 303000 210000 =N28+O28+P28+Q28
NPW =NPV(15%,R9:R28)+R8
AW =PMT(15%,20,-R29)

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