Finance question

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Kvaqna

Economics

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Go over figures 13.1 to 13.4 in your textbook and be familiar with the following computations: Expected NPV, std. dev., CV and value of the option.

Notes:

1. I am referring to the figures embedded in the narrative of the chapter and not the end of chapter problems.

2. I will post an Announcement showing all the computations for figure 13.1. You may omit that figure, but you need to show the computations for parts I, II and III in figures 13.2, 13.3 and 13.4.

Just to get the ball rolling, I am providing the step by step calculations for figure 13.1. You can omit this figure in your HW submission, but you need to show the step by step calculations, for parts I, II and III, for the remaining figures 13.2, 13.3 and 13.4.

Part I: Project without the Growth Option:

NPV (Good): You can use row 2 of the calculator with the following inputs:

CF0 = -3000; C01 = 1500; F01 = 3; I = 12; CPT NPV; NPV = $603

Note: If you don't feel comfortable using the frequency key, you can enter the cash flows as follows:

CF0 = -3000; C01 = 1500; F01 = 1; C02 = 1500; F02 = 1; C03 = 1500; F03 =1

You follow the same procedure for the bad outcome and you get NPV = -$358

Expected NPV:

(.5*603) + (.5*(-358)) = $122

Standard Deviation:

SQRT[..5(603-122)^2 + .5(-358-122)^2] = $480

CV:

480/122 = 3.93

Part II: Project with the Option

The calculations are identical to part I. When you follow the calculations noted above, you get the following numbers:

Expected NPV = $1,503

Std. Dev. = $1,861

CV = 1.24

Part III: Value of the Option

Value of the option is the expected NPV with the option - expected NPV without the option. In this case:

Value of the option = $1,503 - $122 = $1,381

Notes:

1. If expected NPV without the option is negative, the project would not be accepted and so the option has no value.

2. Although the concepts in the four figures are fundamentally different, the calculations are identical.

Unformatted Attachment Preview

12 Part 4 Investing in Long-Term Assets: Capital Budgeting FIGURE 13.1 Analysis of a Growth Option (Dollars in Thousands) A B D E F G H 13 50% NPV@ 12% $603 -$358 $122 $480 3.93 4 5 Part 1. Project Without the Growth Option 6 Cash Flow at End of Period 7 Outcome Prob. 0 1 2 3 8 Good -$3,000 $1,500 $1,500 $1,500 19 Bad 50% -$3,000 $1,100 $1,100 $1,100 10 Expected NPV 11 Standard Deviation (a) 12 Coefficient of Variation = CV=0 / Expected NPV 13 14 Part II. Project With the Growth Option 15 Cash Flow at End of Period 16 0 1 2 3 17 Cash flows, initial investment _$3,000 $1,500 $1,500 $1,500 18 Cash flows, growth investment __$1,000 $5,000 19 Good 50% -$3,000 $1,500 $500 $6,500 20 Bad -$3,000 $1.100 $1,100 $1,100 21 Expected NPV 22 Standard Deviation (o) 23 Coefficient of Variation = CV = g / Expected NPV 24 25 Part III. Value of the Option 26 Expected NPV with the growth option 27 Expected NPV without the growth option NPV@ 12% 50% $3,364 -$358 $1,503 $1,861 1.24 $1.503 $122 $1,381 CASE 1: If the expected NPV without the growth option is positive, then 28 Value of the Option = Expected NPV with the Expected NPV without 29 growth option the growth option 30 31 CASE 2: If the expected NPV without the growth option is negative, then Value of the Option = Expected NPV with the 0 32 growth option 33 Note: If the expected NPV without the growth option is negative, the project would not be 34 undertaken, in which case the project would have no effect on firm value (NPV = 0). 35 36 VALUE OF OPTION= NA $1,381 considering an embedded real option to expand the project. GRE would invest $3 million at Time 0. Because this is considered a relatively risky investment, a WACC of 12% is used. There is a 50% probability of success, in which case the project will yield positive cash inflows of $1.5 million per year for 3 years. COMMODO 'All બાકી પણ હા, મજીદા નગારીનું કામ કરી ગયા મારા પગ દબાણ ગણ મન મારા કામમાં મારા મન માં ગાયા, DLL F /Fundamentals%20of%20Financial%20Management%20%2014e-%20Eugen Chapter 13 Real Options and Other Topics in Capital Budgeting 445 FIGURE 13.2 Analysis of an Abandonment Option (Dollars in Thousands) A B C D E F G H н 3 Part I. Cannot Abandon 4 5 Outcome Prob. 6 Best Case 2596 7 Base Case 50% 8 Worst Case 25% 9 10 11 12 $400 Cash Flow at End of Period 0 1 2 3 4 -$1,000 $400 $600 $800 $1300 -$1,000 $200 $500 $600 -$1,000 -$280 H$280 -$280 $280 Expected NPY Standard Deviation (o) Coefficient of Variation = CV=0 / Expected NPV NPV @ 10% $1,348 $298 |_$1,888 $14 $1,179 83.25 13 Part II. Can Abandon 14 15 Outcome Prob. 16 Best Case 25% 17 Base Case 50% 18 Worst #1 0% 19 Worst #2 25% 20 21 22 23 24 Part II. Value of the Option 25 Cash Flow at End of Period 0 1 2 3 4 -$1,000 $400 $600 $800 $1,300 _$1,000 $200 $400 $500 $600 _$1,000 $280 $280 -$280 -$280 _$1,000 -$280 $0 $0 Expected NPV Standard Deviation (a) Coefficient of Variation = CV=0 / Expected NPV NPV @ 10% $1,348 $298 -$1,888 Don't Use -$1,089 Use $214 $866 4.05 $200 26 Expected NPV with the abandonment option Expected NPV without the abandonment option $214 $14 $200 217 CASE 1: If the expected NPV without the abandonment option is positive, then Expected NPV with Expected NPV without Value of the Option= the abandonment the abandonment option 28 option 29 30 CASE 2: If the expected NPV without the abandonment option is negative, then Expected NPV with Value of the Option = the abandonment 0 31 option 32 Note: If the expected NPV without the abandonment option is negative, the project would not be undertaken in which case the project would have no effect on firm 33 value (NPV = 0). 134 135 VALUE OF OPTION NA ਦਾ $200 des G4.204 mars Tગામનગર આ વાતમાં જ મારી મધ્ય માણવામાલ સાગરમા ગરમ સરગામ ગામ માર માં ગામ ના ગાતા ગાતા ને DLL Ask a new question - Stud Cesar Rego Computers, A PDF Fundamen /Fundamentals%20of%20Financial%20Management%20%2014e-%20Eugene%20F% Chapter 13 Real Options and Other Topics in Capital Budgeting 447 FIGURE 13.3 Analysis of a Timing Option (Dollars in Thousands) H NPV@ 1296 $1,804 _$1,919 $58 $1,861 32.23 А B D E G |3|Part 1. Project Without the Timing Option 4 Cash Flow at End of Period 5 Outcome Prob. 0 1 2 6 Good 50% -$3,000 $2,000 $2,000 $2,000 17 Bad 50% -$3,000 $450 $450 $450 8 Expected NPV 9 Standard Deviation (0) 10 Coefficient of Variation = CV = 0 / Expected NPV 11 12 Part II. Delay the Decision Until We Know the Market Conditions 1113 Cash Flow at End of Period 14 Outcome Prob. 0 2 3 15 Good 50% SO --$3,000 $2,000 $2,000 16 Bad 50% $0 $0 $0 $0 17 Expected NPY 18 Standard Deviation (0) 19 Coefficient of Variation = CV = c/ Expected NPVT 20 21 Part 1. Value of the Option 22 Expected NPV with the timing option 23 Expected NPV without the timing option 24 25 CASE 1: If the expected NPV without the timing option is positive, then Value of the Option = Expected NPV with the Expected NPV without timing option the timing option 26 127 28 CASE 2: If the expected NPV without the timing option is negative, then Value of the Option = Expected NPV with the 29 timing option GO NPV 12% $339 $0 $170 $170 1.00 $170 $58 NA $170 Note: If the expected NPV without the timing option is negative, the project would not be undertaken, in which case the project would have no effect on firm value (NPV = 0). 31 32 33 VALUE OF OPTION = $170 134 Note: Under the Delay situation, we must find the NPV as of t = 0. If we set the cash flow for t= 0 at 50, then using a calculator or Excel, we automatically find the NPV at t = 0. However, if we let CFC-3000, CF = 2000, N = 2. and I/YR = 12, we get an NPV = 5380 under the Good outcome and an expected NPV of $190. Note, though, that these NPVs are as of t= 1, so we must discount them back 1 year at 12% to achieve comparability with the NPV calculated for not delaying the project and arrive 35 at the correct answer. Hab பேயாயபபாயா DLL e/Desktop/Fundamentals%20of%20Financial%20Management%20%2014e-%20E Chapter 13 Real Options and Other Topics in Capital Budgeting 449 FIGURE 13.4 Analysis of a Flexibility Option Dollars in Thousands) А B C D E F G H J 3 Part I. Project Without the Flexibility Option Cash Flow at End of Period 4 Outcome Prob. 0 1 2 3 5 Strong demand 6 Weak demand NPV@ 1296 $1,005 $1,397 50% $2,500 _$5,000 -$5,000 $2,500 $1,500 50% $2,500 $1,500 $1,500 Expected NPV -$196 Cash Flow at End of Period NPV@ 7 8 9 Part II. Project With the Flexibility Option 10 Outcome 11 Strong demand 12 Weak demand Switch products 13 14 Prob. 0 1 2 3 12% 50% -$5,100 -$5,100 $2.500 $1,500 50% $2,500 $2,500 $2,250 $2,250 Expected NPV $905 |_$366 $270 15 Part III. Value of the Option 16 $270 17 Expected NPV with the flexibility option Expected NPV without the flexibility option -$196 18 119 CASE 1: If the expected NPV without the flexibility option is positive, then Value of the Option = Expected NPV with the flexibility option 20 Expected NPV without the flexibility option NA 21 I 22 CASE 2: If the expected NPV without the flexibility option is negative, then Value of the Expected NPV with Option the flexibility option 23 $270 24 Note: If the expected NPV without the flexibility option is negative, the project would not be 25 undertaken, in which case the project would have no effect on firm value (NPV = 0). 26 27 VALUE OF OPTION = $270 SEE TEST 2 What are input flexibility options and output flexibility options? How do flexibility options affect projects NPVs and risk? DI e DALL F5 F6 F7 N
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Explanation & Answer

Here are the answers of your assignment :). Please see attached file :)

1

Figure 13.1
Part I: Project without the Growth Option:

Solution:
NPV = PV of future cash inflows – Initial investment
NPV for good demand
1500/(1+0.12)1+1500/(1.12)2 + 1500/1.123 - 3000
= 1339.29 +1195.79 + 1067.67 - 3000
= 3602.75 -3000
= $603
Similarly NPV for bad demand
1100/(1+0.12)1+1100/(1.12)2 + 1100/1.123 - 3000
= 982.14 + 876.91 + 782.96 -3000
= 982.14+876.91+782.96

2

= 2642.01 - 3000
= -$358
Expected demand
= 0.5×602+0.5×-357
=301 - 178.5
= $122.5 or $122
Part II
NPV = PV of future cash inflows – Initial investment
NPV for good demand
1500/(1+0.12)1+500/(1.12)2 + 6500/1.123 - 3000
= 1339.29 +398.60 + 4626.57 - 3000
= 6364.46 - 3000
= $3364
Similarly NPV for bad demand
1100/(1+0.12)1+1100/(1.12)2 + 1100/1.123 - 3000
= ...


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