In: Accounting
A new project will require development costs of $150 million at time zero, $225 million at the end of year 1. Revenues are expected to start at year three at $50 million per year, escalating by 8% each of years 4 through 10, then hold constant at the 10 year rate for the rest of the project, (years 10 through 15). There is a total equipment replacement cost required at the end of year 8 for $250 million and reclamation of $115 million, both occurring at the end of year 15. Assuming a 15% minimum rate of return.
-calculate dual rate of return
-calculate npv
-using "what if" analysis in excel, what does the revenue escalation rate have to be for the project to generate at 15% rate of return?
please show excel formulas.
Escalation Rate | 8% | |||||||||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
Development Costs | -$150.00 | -$225.00 | ||||||||||||||
Revenues | $50.00 | $54.00 | $58.32 | $62.99 | $68.02 | $73.47 | $79.34 | $85.69 | $85.69 | $85.69 | $85.69 | $85.69 | $85.69 | |||
Equipment Replacement cost | -$250.00 | |||||||||||||||
Reclamation cost | -$115.00 | |||||||||||||||
Total | -$150.00 | -$225.00 | $0.00 | $50.00 | $54.00 | $58.32 | $62.99 | $68.02 | -$176.53 | $79.34 | $85.69 | $85.69 | $85.69 | $85.69 | $85.69 | -$29.31 |
1. Dual Rate of Return | ||||||||||||||||
5.75% | ||||||||||||||||
=IRR(B8:Q8,15%) | ||||||||||||||||
2. NPV | ||||||||||||||||
-$136.70 | ||||||||||||||||
=NPV(15%,B8:Q8) |
3. Using What-if analysis: | ||||||||||||||||
Data-What if analysis-Goal Seek | ||||||||||||||||
Set Cell: | Cell having Rate of return value | |||||||||||||||
To Value: | 15% | |||||||||||||||
By Changing Cell: | Cell having Escalation Rate | |||||||||||||||
Escalation Rate | 19.22% | |||||||||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
Development Costs | -$150.00 | -$225.00 | ||||||||||||||
Revenues | $50.00 | $59.61 | $71.06 | $84.72 | $101.00 | $120.40 | $143.54 | $171.12 | $171.12 | $171.12 | $171.12 | $171.12 | $171.12 | |||
Equipment Replacement cost | -$250.00 | |||||||||||||||
Reclamation cost | -$115.00 | |||||||||||||||
Total | -$150.00 | -$225.00 | $0.00 | $50.00 | $59.61 | $71.06 | $84.72 | $101.00 | -$129.60 | $143.54 | $171.12 | $171.12 | $171.12 | $171.12 | $171.12 | $56.12 |
Rate of Return | ||||||||||||||||
15% |