Question

In: Finance

1-20 years Average hourly power output per turbine                                 0.31 MWh

1-20 years

Average hourly power output per turbine

                                0.31

MWh

Operational days per year

                            363.00

days

Capital expenditure per turbine

                 3,000,000.00

$

Life

                              20.00

years

Turbines will be dismantled at end of 20 years if not overhauling.

Salvage per turbine

                    200,000.00

$

Market value at end of 20 years.

Expected price per MWh of power in first year

                              80.00

$

Price per MWh is then expected to increase at inflation.

Expected price per MWh of renewable energy certificate in first year

                              70.00

$

For each MWh generated by the wind turbines, SAI will be issued with a renewable energy certificate which it can sell to electricity retailers who have sold renewable energy to customers. Price of certificates is then expected to increase at inflation.

Expected operating expenses per turbine in first year

                    100,000.00

$

Annual operating expenses then expected to increase by inflation.

Depreciation method

Straight Line

Working capital

                                    -  

$

Given service agreements, there is no working capital requirement

Inflation Rate (p.a.)

                              0.026

Tax Rate

                                0.30

Tax payment occurs at the same year as income

Discount Rate

                                0.10

Additional Information to extend life to 40 years

Overhaul cost at end of 20th year per turbine

                 1,500,000.00

$

Life of overhaul

                              20.00

years

Salvage

                                    -  

$

Depreciation method of overhaul cost

Straight Line

Overhaul expense is capitalised and then depreciated over extended life.

Treatment of existing capital expenditure (e.g. original outlay)

                                    -  

$

Remaining book value of original capital expenditure written down to zero in year 20.

Calculate the free cash flows for the extended life of 40 years

Solutions

Expert Solution

Inflation 2.60% Interest Rate 30% Price of MWH 80+70 150
Discount rate 10% Annual production 0.31*24*363 MWH 2700.72
Year Cash outflow Revenue Operation cost Depreciation Cash before Tax Tax Cash after Tax Add back Depreciation Net free cash flow from operation
0 -$30,00,000.00 -$30,00,000.00 $0.00 $0.00 $0.00 -$30,00,000.00
1 $4,05,108.00 -$1,00,000.00 -$1,40,000.00 $1,65,108.00 -$49,532.40 $1,15,575.60 $1,40,000.00 $2,55,575.60
2 $4,15,640.81 -$1,02,600.00 -$1,40,000.00 $1,73,040.81 -$51,912.24 $1,21,128.57 $1,40,000.00 $2,61,128.57
3 $4,26,447.47 -$1,05,267.60 -$1,40,000.00 $1,81,179.87 -$54,353.96 $1,26,825.91 $1,40,000.00 $2,66,825.91
4 $4,37,535.10 -$1,08,004.56 -$1,40,000.00 $1,89,530.55 -$56,859.16 $1,32,671.38 $1,40,000.00 $2,72,671.38
5 $4,48,911.02 -$1,10,812.68 -$1,40,000.00 $1,98,098.34 -$59,429.50 $1,38,668.84 $1,40,000.00 $2,78,668.84
6 $4,60,582.70 -$1,13,693.81 -$1,40,000.00 $2,06,888.90 -$62,066.67 $1,44,822.23 $1,40,000.00 $2,84,822.23
7 $4,72,557.85 -$1,16,649.84 -$1,40,000.00 $2,15,908.01 -$64,772.40 $1,51,135.61 $1,40,000.00 $2,91,135.61
8 $4,84,844.36 -$1,19,682.74 -$1,40,000.00 $2,25,161.62 -$67,548.48 $1,57,613.13 $1,40,000.00 $2,97,613.13
9 $4,97,450.31 -$1,22,794.49 -$1,40,000.00 $2,34,655.82 -$70,396.75 $1,64,259.07 $1,40,000.00 $3,04,259.07
10 $5,10,384.02 -$1,25,987.15 -$1,40,000.00 $2,44,396.87 -$73,319.06 $1,71,077.81 $1,40,000.00 $3,11,077.81
11 $5,23,654.00 -$1,29,262.81 -$1,40,000.00 $2,54,391.19 -$76,317.36 $1,78,073.83 $1,40,000.00 $3,18,073.83
12 $5,37,269.01 -$1,32,623.65 -$1,40,000.00 $2,64,645.36 -$79,393.61 $1,85,251.75 $1,40,000.00 $3,25,251.75
13 $5,51,238.00 -$1,36,071.86 -$1,40,000.00 $2,75,166.14 -$82,549.84 $1,92,616.30 $1,40,000.00 $3,32,616.30
14 $5,65,570.19 -$1,39,609.73 -$1,40,000.00 $2,85,960.46 -$85,788.14 $2,00,172.32 $1,40,000.00 $3,40,172.32
15 $5,80,275.01 -$1,43,239.58 -$1,40,000.00 $2,97,035.43 -$89,110.63 $2,07,924.80 $1,40,000.00 $3,47,924.80
16 $5,95,362.16 -$1,46,963.81 -$1,40,000.00 $3,08,398.35 -$92,519.51 $2,15,878.85 $1,40,000.00 $3,55,878.85
17 $6,10,841.58 -$1,50,784.87 -$1,40,000.00 $3,20,056.71 -$96,017.01 $2,24,039.70 $1,40,000.00 $3,64,039.70
18 $6,26,723.46 -$1,54,705.28 -$1,40,000.00 $3,32,018.18 -$99,605.45 $2,32,412.73 $1,40,000.00 $3,72,412.73
19 $6,43,018.27 -$1,58,727.62 -$1,40,000.00 $3,44,290.66 -$1,03,287.20 $2,41,003.46 $1,40,000.00 $3,81,003.46
20 -$15,00,000.00 $6,59,736.75 -$1,62,854.53 -$1,40,000.00 -$11,43,117.79 $3,42,935.34 -$8,00,182.45 $1,40,000.00 -$6,60,182.45
21 $6,76,889.90 -$1,67,088.75 -$85,000.00 $4,24,801.15 -$1,27,440.34 $2,97,360.80 $85,000.00 $3,82,360.80
22 $6,94,489.04 -$1,71,433.06 -$85,000.00 $4,38,055.98 -$1,31,416.79 $3,06,639.19 $85,000.00 $3,91,639.19
23 $7,12,545.75 -$1,75,890.32 -$85,000.00 $4,51,655.44 -$1,35,496.63 $3,16,158.80 $85,000.00 $4,01,158.80
24 $7,31,071.94 -$1,80,463.47 -$85,000.00 $4,65,608.48 -$1,39,682.54 $3,25,925.93 $85,000.00 $4,10,925.93
25 $7,50,079.81 -$1,85,155.52 -$85,000.00 $4,79,924.30 -$1,43,977.29 $3,35,947.01 $85,000.00 $4,20,947.01
26 $7,69,581.89 -$1,89,969.56 -$85,000.00 $4,94,612.33 -$1,48,383.70 $3,46,228.63 $85,000.00 $4,31,228.63
27 $7,89,591.02 -$1,94,908.77 -$85,000.00 $5,09,682.25 -$1,52,904.67 $3,56,777.57 $85,000.00 $4,41,777.57
28 $8,10,120.39 -$1,99,976.40 -$85,000.00 $5,25,143.99 -$1,57,543.20 $3,67,600.79 $85,000.00 $4,52,600.79
29 $8,31,183.52 -$2,05,175.78 -$85,000.00 $5,41,007.73 -$1,62,302.32 $3,78,705.41 $85,000.00 $4,63,705.41
30 $8,52,794.29 -$2,10,510.35 -$85,000.00 $5,57,283.93 -$1,67,185.18 $3,90,098.75 $85,000.00 $4,75,098.75
31 $8,74,966.94 -$2,15,983.62 -$85,000.00 $5,73,983.31 -$1,72,194.99 $4,01,788.32 $85,000.00 $4,86,788.32
32 $8,97,716.08 -$2,21,599.20 -$85,000.00 $5,91,116.88 -$1,77,335.06 $4,13,781.82 $85,000.00 $4,98,781.82
33 $9,21,056.70 -$2,27,360.78 -$85,000.00 $6,08,695.92 -$1,82,608.78 $4,26,087.14 $85,000.00 $5,11,087.14
34 $9,45,004.17 -$2,33,272.16 -$85,000.00 $6,26,732.01 -$1,88,019.60 $4,38,712.41 $85,000.00 $5,23,712.41
35 $9,69,574.28 -$2,39,337.23 -$85,000.00 $6,45,237.05 -$1,93,571.11 $4,51,665.93 $85,000.00 $5,36,665.93
36 $9,94,783.21 -$2,45,560.00 -$85,000.00 $6,64,223.21 -$1,99,266.96 $4,64,956.25 $85,000.00 $5,49,956.25
37 $10,20,647.57 -$2,51,944.56 -$85,000.00 $6,83,703.01 -$2,05,110.90 $4,78,592.11 $85,000.00 $5,63,592.11
38 $10,47,184.41 -$2,58,495.12 -$85,000.00 $7,03,689.29 -$2,11,106.79 $4,92,582.50 $85,000.00 $5,77,582.50
39 $10,74,411.21 -$2,65,215.99 -$85,000.00 $7,24,195.21 -$2,17,258.56 $5,06,936.65 $85,000.00 $5,91,936.65
40 $11,02,345.90 -$2,72,111.61 -$85,000.00 $7,45,234.29 -$2,23,570.29 $5,21,664.00 $85,000.00 $6,06,664.00

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