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machine will generate additional annual revenue of $8 million and additional annual costs and expenses of $4 million. The mac
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Q6) payback period

Years Cashflow Cummulative Cashflow
0 (-2,000,000) (-2,000,000)
1 720,000 (-1,280,000)
2 840,000 (-440,000)
3 860,000 420,000
4 620,000 1,040,000

Payback period = full year until recovery + unrecovered cost at the beginning of last year/cashflow during last year

= 2 + 440,000/860,000

= 2 + 0.51

= 2.51 years

•Finding IRR

We use financial calculator to find Irr

Inputs : C0 = - 2,000,000

C1 = 720,000. Frequency =1

C2 = 840,000. Frequency =1

C3 = 860,000. Frequency =1

C4 = 620,000. Frequency =1

IRR = Compute

We get, Irr = 19.47%

•Finding NPV

We use financial calculator to find Npv

Inputs: C0 = -2,000,000

C1 = 720,000. Frequency =1

C2 = 840,000. Frequency =1

C3 = 860,000. Frequency =1

C4 = 620,000. Frequency = 1

I = 11%

NPV = Compute

We get , NPV = 367,649.28

• Finding Profitability index

PI = Cash outflow + Npv / initial outflow

= 2,000,000 + 367,649.28 / 2,000,000

= 2,367,659.28 / 2,000,000

= 1.18

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