QUESTION
1. Your company has existing forward crude oil financial swaps (hedges) in place of
(10 pts) $105 for 2013 and $110 for 2014 and $105 for 2015 covering approximately 50% of
your expected production. Assume the current forward price curve is $80 for each
of the three years. Which set of future prices should you use in performing the
economic analysis of prospective wells soon to be drilled and why?
2. You are given the following actual dollar data:
(20 pts) Inflation is 3%
Interest is 10%
Depreciation is straight line over two years
Loan principal repayment is at end of two years
Tax Rate = 20%
0 1 2
Investment -100
Loan Proceeds 50
Loan Repayment -50
Revenues 220 240
Operating Expenses 20 30
Depreciation 50 50
Interest 5 5
- Calculate Net Cash Flows in actual $
- Calculate NPV at 10% in actual $
- Calculate EUAC at 10% in actual $
- Calculate IRR of the actual $ net cash flows
- Calculate Net Cash Flows in constant $
- Calculate NPV at the real rate of return %
- Calculate the EUAC of the constant $ cash flows at the real rate of return
- Calculate the IRR of the constant $ cash flows
- Is the investment acceptable? Why?
Note: EUAC is Equivalent Uniform Annual Cost
3. Identify and describe at least five key project risks and contract asymmetries:
(20 pts) You are a Houston natural gas storage operator. You typically buy natural gas
From a Mexican producer in the spring and fall and resell the natural gas in the winter to a New York gas utility. All of your contracts have a five year term or life. You have a best efforts fixed quantity (100,000 Mcf per day) purchase contract at fixed prices in pesos with a large national oil company in Mexico. You take title to the gas at the well head (field) in Mexico. You have a best efforts (interruptible) gas pipeline transportation contract for 100,000 Mcf per day at a fixed per Mcf US dollar price with a large US natural gas pipeline to bring the gas to Houston.
Your US dollar sales contract to the New York utility is a firm obligation requiring you to deliver up to 100,000 Mcf per day whenever called upon by the utility. The sales price is floating at the prevailing New York price in US dollars. You have a gas pipeline contract at fixed prices from Houston to New York for 50,000 Mcf per day. You pay for this firm capacity each day regardless of whether you ship gas that day or not. The New York utility has no obligation to purchase a minimum quantity on a daily or seasonal basis.
Because times are tight, you do not carry insurance. You are unhedged with respect to natural gas prices and currency fluctuations.
4. Your company has the following financial structure with a 40% tax rate:
$ Cost
Debt 4,000,000 10%
Equity 2,000,000 20%
Information applies to both 4.a. and 4.b.
a.Your company is considering a new product. You have the
(15 pts)following information:
0 1 2 3 4
Revenues 70 80 90 100
Operating Costs 20 25 30 35
Depreciation 25 15 5 5
Investment (No Salvage)-50
- Calculate net cash flows by year (tax rate = 40%)
- Calculate NPV and identify cost of capital used
- Calculate IRR
- Is the investment acceptable? Why?
b. Your company is considering a second project with the following information:
(15 pts)
0 1 2 3
Revenues 120 140 160
Operating Costs 30 40 40
Depreciation 40 30 30
Interest 5 55
Investment -100
Salvage 20
Loan Proceeds 50
Loan Repayment -50
- Calculate net cash flows by year (tax rate = 40%)
- Calculate NPV and identify cost of capital used
- Calculate IRR
- Is the investment acceptable? Why?
5. Your company is considering two alternative production line layouts. Revenue
(20 pts) is the same under either alternative. You are given the following information in actual dollars:
Alt A Alt B
Initial Cost -50 -75
Operating Expenses
(years 1-5) 30 15
Analysis Horizon (years) 5 5
Straight Line depreciation (5 yrs) yes yes
Salvage none none
Loan Proceeds 30 45
Loan Interest Rate (Debt Cost) 10% 10%
Tax Rate (Negative Taxes OK) 50% 50%
Cost of Equity 15% 15%
Firm Debt Percentage 60% 60%
Inflation Rate 5% 5%
- Calculate the NPV of each alternative in actual dollars
- Calculate the EUAC of each alternative in actual dollars
- Calculate the incremental IRR
- Which alternative is preferred and why?
Note: It is possible that you have been given more data than you need.
SOLUTION
Year 0 | Year 1 | Year 2 | ||||||||||
Investment | -100 | |||||||||||
Loan Proceeds | 50 | |||||||||||
Loan Repayment | 50 | |||||||||||
Revenues | 220 | 240 | ||||||||||
Operating Expenses | 20 | 30 | ||||||||||
Depreciation | 50 | 50 | ||||||||||
Interest | 5 | 5 | Anuity Factor for realrate | Anuity Fator for 10% | ||||||||
Profit Before Dep. Int & Tax | 200 | 210 | 1.067961 | |||||||||
Profit Before Int & Tax | 150 | 160 | 0.067961 | |||||||||
Profit Before Tax | 145 | 155 | 1.140539 | 1.21 | ||||||||
Tax | 29 | 31 | 0.876779 | 0.826446 | ||||||||
Profit After Tax (add back Dep) | 166 | 174 | ||||||||||
Net Cash Flow (after adjustingn repayment) | -150 | 166 | 124 | |||||||||
Net Cash Flow at constan dollar (after adjustingn repayment) | -150 | 161.165 | 116.8819 | |||||||||
0.123221 | 0.173554 | |||||||||||
NPV at 10% Discount Rate | -150 | 150.9091 | 112.7273 | 1.813143 | 2.553763 | |||||||
102.4793 | ||||||||||||
NPV at real rate of return | -150 | 155.4365 | 116.1092 | |||||||||
108.7206 | 114.1571 |
Year | 2013 (First Half) |
2013 (Second Half) |
2014 (First Half) |
2014 (Second Half) |
2015 (First Half) |
2015 (Second Half) |
||||
Total Cover | 100% | 90% | 80% | 70% | 60% | 50% | ||||
Covered already | 50% | 50% | 50% | 50% | 50% | 50% | ||||
Forward Swap Price | $105 | $105 | $110 | $110 | $105 | $105 | ||||
Contribution of Current Forward | 50% | 40% | 30% | 20% | 10% | 0% | ||||
Current Forward Price | $80 | $80 | $80 | $80 | $80 | $80 | ||||
Net Price | 92.5 | 93.9 | 98.8 | 101.4 | 100.8 | 105.0 | ||||
Assuming the company takes the current future price in the first half for remaining 50% in first half of 2013 and 0% in the second half of 2015 reducing 10% in each half of the year in order to cover the risk. | ||||||||||
In this way the company can reduce the risks associated with the volatility in the market which is depicted from the fact that the prices are increasing in 2104 and then reducing in 2015 whereas the current future prices are much lower than the future swaps. |
Year | 0 | 1 | 2 | ||||||||||||
Investment | -1000 | ||||||||||||||
Loan Proceeds | 50 | ||||||||||||||
Loan Repayment | -50 | ||||||||||||||
Revenue | 220 | 240 | |||||||||||||
Operating Expense | 20 | 30 | |||||||||||||
Depriciation | 50 | 50 | |||||||||||||
Interest | 5 | 5 | |||||||||||||
Ans a | |||||||||||||||
Net Cash Flow Calculation | |||||||||||||||
Year | 0 | 1 | 2 | ||||||||||||
Revenue | 220 | 240 | |||||||||||||
Operating Expense | 20 | 30 | |||||||||||||
Depriciation | 50 | 50 | |||||||||||||
Operating Profit (EBIT) | 150 | 160 | |||||||||||||
Interest | 5 | 5 | |||||||||||||
EBT | 145 | 155 | |||||||||||||
TAX @20 % | 29 | 31 | |||||||||||||
EAT | 116 | 124 | |||||||||||||
Investment | -1000 | ||||||||||||||
Loan Proceeds | 50 | ||||||||||||||
Loan Repayment | -50 | ||||||||||||||
NETCASHFLOW | -950 | 166 | 124 | ||||||||||||
Ans b | NPV CALCULATION | -696.612 | |||||||||||||
ANS C | EUAC | ||||||||||||||
EAC = NPV/A t, r where A= the present value of an annuity factor | |||||||||||||||
t = number of periods | |||||||||||||||
r = interest rate | |||||||||||||||
In other words, EAC is calculated by dividing the NPV of a project by the present value of an annuity factor. | |||||||||||||||
-109.909 | |||||||||||||||
Ans d : | Calculation Of IRR | ||||||||||||||
PW(irr) = F0 / (1 + irr)0 + F1 / (1 + irr)1 + F2 /(1 + irr)2 + …. + Fn /(1 + irr)n | |||||||||||||||
F0 | -950 | F1 | 116 | F2 | 74 | ||||||||||
-0.6533 | |||||||||||||||
Ans e | NetCASH FLOW IN CONSTANT DOLLAR | Net Cash Flow Calculation | |||||||||||||
Year | 0 | 1 | 2 | ||||||||||||
Revenue | 220 | 240 | |||||||||||||
Operating Expense | 20 | 30 | |||||||||||||
Depriciation | 50 | 50 | |||||||||||||
Operating Profit (EBIT) | 150 | 160 | |||||||||||||
Interest | 5 | 5 | |||||||||||||
EBT | 145 | 155 | |||||||||||||
TAX @20 % | 29 | 31 | |||||||||||||
EAT | 116 | 124 | |||||||||||||
Investment | -1000 | ||||||||||||||
Loan Proceeds | 50 | ||||||||||||||
Loan Repayment | -50 | ||||||||||||||
NETCASHFLOW | -950 | 166 | 124 | ||||||||||||
Ans F | |||||||||||||||
The real interest rate solved from the Fisher equation is | |||||||||||||||
|
|||||||||||||||
0.067961165 | |||||||||||||||
NPV @ REAL RATE OF INTEREST | |||||||||||||||
-685.843 | |||||||||||||||
Ans G | |||||||||||||||
EUAC @ Real Rate Of Interest | |||||||||||||||
EAC = NPV/A t, r where A= the present value of an annuity factor | |||||||||||||||
t = number of periods | |||||||||||||||
r = interest rate | |||||||||||||||
In other words, EAC is calculated by dividing the NPV of a project by the present value of an annuity factor. | |||||||||||||||
-1243.53 | |||||||||||||||
Ans H | |||||||||||||||
IRR@ Constant Cash Flow | |||||||||||||||
PW(irr) = F0 / (1 + irr)0 + F1 / (1 + irr)1 + F2 /(1 + irr)2 + …. + Fn /(1 + irr)n | |||||||||||||||
F0 | -950 | F1 | 116 | F2 | 74 | ||||||||||
-0.6533 | |||||||||||||||
ANS I | This investment is’nt beneficial because of negative incremental rate of return . |
Q4 | $ | Cost | |||||||
PART 1 | Debt | 4,000,000 | 10% | ||||||
Equity | 2,000,000 | 20% | |||||||
Year | 0 | 1 | 2 | 3 | 4 | ||||
Revenues | 70 | 80 | 90 | 100 | |||||
Operating Costs | 20 | 25 | 30 | 35 | |||||
Depreciation | 25 | 15 | 5 | 5 | |||||
Investment | -50 | ||||||||
Net Cash Flow | |||||||||
(a) | Year | 0 | 1 | 2 | 3 | 4 | |||
Revenues | 70 | 80 | 90 | 100 | |||||
Operating Costs | 20 | 25 | 30 | 35 | |||||
Depreciation | 25 | 15 | 5 | 5 | |||||
Investment | -50 | ||||||||
EBIT | 45 | 45 | 60 | 65 | -35 | ||||
TAX @40 % | 18 | 18 | 24 | 26 | -14 | ||||
EAT | 27 | 27 | 36 | 39 | -21 | ||||
NET CASH FLOW | 2 | 42 | 41 | 44 | -21 | ||||
(b) | NPV CALCULATION | ||||||||
Weighted Average Cost Of Capital | 0.040666667 | ||||||||
NPV CALCULATION | 102.977 | ||||||||
(c) | IRR CALCULATION | ||||||||
PW(irr) = F0 / (1 + irr)0 + F1 / (1 + irr)1 + F2 /(1 + irr)2 + …. + Fn /(1 + irr)n | |||||||||
IRR | 146% | ||||||||
F0 | 2 | ||||||||
F1 | 42 | ||||||||
F2 | 41 | ||||||||
F3 | 44 | ||||||||
F4 | -21 | ||||||||
(D) | Investment Is acceptable Because IRR IS GREATER THAN COST OF CAPITAL | ||||||||
PART 2 | |||||||||
Year | 0 | 1 | 2 | 3 | |||||
Revenues | 120 | 140 | 60 | ||||||
Operating Costs | 30 | 40 | 40 | ||||||
Depreciation | 40 | 30 | 30 | ||||||
Interest | 5 | 55 | |||||||
Investment | -100 | ||||||||
Salvage | 20 | ||||||||
Loan Proceeds | 50 | ||||||||
Loan Repayment | -50 | ||||||||
EBIT | 45 | 15 | -10 | ||||||
TAX @40 | 18 | 6 | -4 | ||||||
EAT | 27 | 9 | -6 | ||||||
NET CASH FLOW | -50 | 67 | 49 | -42 | |||||
Weighted Average Cost Of Capital | 0.040666667 | ||||||||
NPV CALCULATION | |||||||||
23.95001 | |||||||||
IRR CALCULATION | |||||||||
PW(irr) = F0 / (1 + irr)0 + F1 / (1 + irr)1 + F2 /(1 + irr)2 + …. + Fn /(1 + irr)n | |||||||||
F0 | -50 | ||||||||
F1 | 27 | ||||||||
F2 | 9 | ||||||||
F3 | -36 | ||||||||
-99.99% | |||||||||
IRR<Weighted Average Cost Of Capital | |||||||||
Hence It is not advisable for investment |
Question No 5 | Alt A | Alt B | ||||||||
Intial Cost | -50 | -75 | ||||||||
Operating Expense | 30 | 15 | ||||||||
Analysis Horizon | 5 Year | 5 Year | ||||||||
Strailt Line Depriciation | Yes | Yes | ||||||||
Salvage | None | None | ||||||||
Loan Proceeds | 30 | 45 | ||||||||
Loan Interest Rate (Debt Cost ) | 10% | 10% | ||||||||
Tax Rate ( Negative Taxes OKAY) | 50% | 50% | ||||||||
Cost Of Equity | 15% | 15% | ||||||||
Firm DEBT % | 60% | 60% | ||||||||
Inflation Rate | 5% | 5% | ||||||||
The real interest rate solved from the Fisher equation is | ||||||||||
|
||||||||||
Alt A | ||||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | ||||
Intial Cost | -50 | |||||||||
Operating Expense | 30 | 30 | 30 | 30 | 30 | |||||
Loan Proceeds | 30 | |||||||||
Loan Interest Rate | 5% | 5% | 5% | 5% | 5% | 5% | ||||
Interest | 1.428571429 | 1.428571 | 1.428571 | 1.428571 | 1.428571 | 1.428571 | ||||
Cost Of Equity | 15% | 15% | 15% | 15% | 15% | 15% | ||||
Debt % | 60% | 60% | 60% | 60% | 60% | 60% | ||||
WACC | 7.5% | |||||||||
Revenue (Suppose ) | 100 | 120 | 144 | 172.8 | 207.36 | ASSUMPTION REVENUE WILL INCREASE EVERY YEAR @20 % | ||||
EBIT | 68.57143 | 88.57143 | 112.5714 | 141.3714 | 175.9314 | |||||
Tax @ 50 % | 34.28571 | 44.28571 | 56.28571 | 70.68571 | 87.96571 | |||||
EAT | 34.28571 | 44.28571 | 56.28571 | 70.68571 | 87.96571 | |||||
NET CASH FLOW | -20 | 34.28571 | 44.28571 | 56.28571 | 70.68571 | 87.96571 | ||||
NPV | 209.7261191 | |||||||||
IRR CALCULATION | ||||||||||
PW(irr) = F0 / (1 + irr)0 + F1 / (1 + irr)1 + F2 /(1 + irr)2 + …. + Fn /(1 + irr)n | ||||||||||
F0 | -20 | |||||||||
F1 | 34.28571 | |||||||||
F2 | 44.28571 | |||||||||
F3 | 56.28571 | |||||||||
F4 | 70.68571 | |||||||||
F5 | 87.96571 | |||||||||
IRR | 194.32 | |||||||||
EAC = NPV/A t, r where A= the present value of an annuity factor | ||||||||||
t = number of periods | ||||||||||
r = interest rate | ||||||||||
In other words, EAC is calculated by dividing the NPV of a project by the present value of an annuity factor. | ||||||||||
EQUIVALENT ANNAUL COST | 848.5277388 | |||||||||
CONCLUSION IRR>WACC | IT IS ADVISABLE FOR INVESTMENT | |||||||||
ALTERNATIVE B | ||||||||||
Alt b | ||||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | ||||
Intial Cost | -75 | |||||||||
Operating Expense | 30 | 30 | 30 | 30 | 30 | |||||
Loan Proceeds | 45 | |||||||||
Loan Interest Rate | 5% | 5% | 5% | 5% | 5% | 5% | ||||
Interest | 2.142857143 | 2.142857 | 2.142857 | 2.142857 | 2.142857 | 2.142857 | ||||
Cost Of Equity | 15% | 15% | 15% | 15% | 15% | 15% | ||||
Debt % | 60% | 60% | 60% | 60% | 60% | 60% | ||||
WACC | 7.5% | |||||||||
Revenue (Suppose ) | 100 | 120 | 144 | 172.8 | 207.36 | ASSUMPTION REVENUE WILL INCREASE EVERY YEAR @20 % | ||||
EBIT | 67.85714 | 87.85714 | 111.8571 | 140.6571 | 175.2171 | |||||
Tax @ 50 % | 33.92857 | 43.92857 | 55.92857 | 70.32857 | 87.60857 | |||||
EAT | 33.92857 | 43.92857 | 55.92857 | 70.32857 | 87.60857 | |||||
NET CASH FLOW | -30 | 33.92857 | 43.92857 | 55.92857 | 70.32857 | 87.60857 | ||||
NPV | 198.2811602 | |||||||||
IRR CALCULATION | ||||||||||
PW(irr) = F0 / (1 + irr)0 + F1 / (1 + irr)1 + F2 /(1 + irr)2 + …. + Fn /(1 + irr)n | ||||||||||
F0 | -30 | |||||||||
F1 | 33.92857 | |||||||||
F2 | 43.92857 | |||||||||
F3 | 55.92857 | |||||||||
F4 | 70.32857 | |||||||||
F5 | 87.60857 | |||||||||
IRR | 130.85 | |||||||||
EUAC CALCULATION | ||||||||||
EAC = NPV/A t, r where A= the present value of an annuity factor | ||||||||||
t = number of periods | ||||||||||
r = interest rate | ||||||||||
In other words, EAC is calculated by dividing the NPV of a project by the present value of an annuity factor. | ||||||||||
EUAC | 802.2227524 | |||||||||
CONCLUSION IRR>WACC | IT IS ADVISABLE FOR INVESTMENT | |||||||||
JF87
But you can order it from our service and receive complete high-quality custom paper. Our service offers Accounting essay sample that was written by professional writer. If you like one, you have an opportunity to buy a similar paper. Any of the academic papers will be written from scratch, according to all customers’ specifications, expectations and highest standards.”