FINANCE CALCULATION IN EXCEL

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

 

  1.  Calculate Net Cash Flows in actual $
  2. Calculate NPV at 10% in actual $
  3. Calculate EUAC at 10% in actual $
  4. Calculate IRR of the actual $ net cash flows
  5. Calculate Net Cash Flows in constant $
  6. Calculate NPV at the real rate of return %
  7. Calculate the EUAC of the constant $ cash flows at the real rate of return
  8. Calculate the IRR of the constant $ cash flows
  9. 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

 

  1. Calculate net cash flows by year (tax rate = 40%)
  2. Calculate NPV and identify cost of capital used
  3. Calculate IRR
  4. 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

 

  1. Calculate net cash flows by year (tax rate = 40%)
  2. Calculate NPV and identify cost of capital used
  3. Calculate IRR
  4. 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%

 

  1. Calculate the NPV of each alternative in actual dollars
  2. Calculate the EUAC of each alternative in actual dollars
  3. Calculate the incremental IRR
  4. 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) = F/ (1 + irr)+ F/ (1 + irr)+ F2 /(1 + irr)+ …. + 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) = F/ (1 + irr)+ F/ (1 + irr)+ F2 /(1 + irr)+ …. + 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

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