- Page 1: Real Options "in" Projects and Syst
- Page 5 and 6: 5AcknowledgementsMy deepest thanks
- Page 7 and 8: 73.2.1. No Arbitrage_______________
- Page 9 and 10: 96.3. Options analysis ____________
- Page 11 and 12: 11List of Figures:Figure 1-1 Overal
- Page 13 and 14: 13List of Tables:Table 2-1: Differe
- Page 15 and 16: 15Notations:Symbol Meaninga Factor
- Page 17 and 18: 17PVO i Factor to bring the annuity
- Page 19 and 20: 19Chapter 1 IntroductionForecasts a
- Page 21 and 22: FinancialOptionsReal Options"on" Pr
- Page 23 and 24: 23water flow is stochastic, but tak
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- Page 27 and 28: 27General applicability and case ex
- Page 29 and 30: 29Chapter 2 Literature ReviewThis s
- Page 31 and 32: 31issues associated with large-scal
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- Page 37 and 38: 37water resources screening models.
- Page 39 and 40: 39shorter time horizon; yet the des
- Page 42 and 43: 42Archetti, DiPillo and Lucertini (
- Page 44 and 45: 44we should be more realistically e
- Page 46 and 47: 46controversial yet influential boo
- Page 48 and 49: 48valuation methods: the partial di
- Page 50 and 51: 50Ramirez (2002) compared discounte
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52Several important issues regardin
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54project, where those options inte
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56Other real options applicationsNi
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58benefit analysis that may discard
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60Chapter 3 Standard Options Theory
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62For the above stock call option i
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64Stock Price = $10Stock price = $1
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66formulation of the model for stoc
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68Figure 3-3 exhibits a single path
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70Then, using Ito’s lemma (see Ap
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72With simulation methods available
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74and∆S= µ S∆t+ σS∆zThen th
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76After going through all the deriv
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783.3.3. Binomial Real Options Valu
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80Substituting x from Equation 3-11
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82An Example of Option ValuationAss
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84Two parameters, i.e. µ and σ, a
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863.4. Risk-neutral ValuationNote i
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88PackagesA package is a portfolio
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90can be thought of as equivalent t
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92integrals of the bivariate normal
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94In many cases, we can also use bi
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964.1. Definition of Real OptionsBe
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98engineering design of the project
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100See the following example based
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1024.2.3. Types of Real options “
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104Step 1: find out the most import
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106There are a number of difficulti
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108Note the difference between real
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1104.3.2. Comparison of real option
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112demands on the system have been
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114construction cost. This premium
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116EV P(S) ≠ P [EV(S)]- The cumul
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118the spreadsheet to explore this
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120multi-faceted analysis and justi
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122o no transaction costs or taxes,
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1244.4.2. SimulationMonte Carlo sim
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126valuation uses actual probabilit
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128makers using real options approa
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1304.6.1. Arbitrage-enforced pricin
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132Following the narrow and broad s
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134deciding appropriate discount ra
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136To develop a method for building
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138the management of the projects,
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140and the design elements that var
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142Maximize:Subject to:binomial tre
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144whether the option is exercised
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146Maximize V11Subject to V = E ⋅
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148Terminal nodesq = 1A path P(k )
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150qSiwhere is the value of the und
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1525.3.3. Formulation for the real
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154In practice, however, it is rare
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1565.4.1. Market demand uncertainty
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158i∑j=1∑iq−≤ q, s 1 js ∀
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160comparison to what happened to I
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16265× 25= 248832We can put all 24
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164Chapter 6 Case example: River Ba
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166Project 1The considered design a
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168dramatically as China develops e
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170Table 6-6: Site index “s”1 2
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172S )32− S31= ( Qin,1− X31k tS
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174built, the storage capacity at a
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176Solutions of the model frequentl
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178[Volume-head curve]The volume-he
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180The reservoir cost curve for Pro
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182Hydropower constraints:Pst1S −
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184Applying screening model to sort
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186The standard deviations of water
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188benefit calculated by the object
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190the configurations are not going
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192Basically almost all the relatio
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194Table 6-16 Parameters for the di
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196At node 4:At node 5:At node 6:Fo
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1980 ;Ss1y+ Es1y⋅ kt≤ TstSs 2 y
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200where benefit is the discounted
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202Forecast: Net Benefits2,500 Tria
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204for each project (construction t
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206Hydropower constraintsThe screen
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208PVC i is the factor to bring the
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210According to Equation 6-5 and Eq
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212Continuity constraints:XX= Q + Y
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214δs Variable cost for power plan
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216power plants and to fill up rese
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218Table 6-20: Paths of electricity
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220Real options constraintsMoreover
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222PVOPVCii=160 + 10(1∑ − 1)jj=
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224FCs Fixed cost for reservoir at
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226Price = 0.388 RMB/KwHProject 1 b
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228about the process of designing f
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230Multiple designs for Project 3 w
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232period, and go with Project 1 in
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234After showing policy makers of t
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236Note the two design implications
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238If a person does not establish a
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240management would like to promote
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242A useful classification of uncer
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244- Understand that there are case
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246“Real options” are termed to
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248evolutionary configurations that
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250out where the flexibility can be
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252all possible plans. As Herbert S
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254∑Max: ( β Y − c Y )Equation
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256their exercise. In contrast to s
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258a terminal node represents a sce
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260∑∑−r⋅∆T⋅(i−1)Max p
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262Formulation for the real options
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264technical, economic, and real op
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266Step 3. Perform sensitivity anal
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268asymmetric if the uncertain vari
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270Table 8-5: Results from the scre
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272Table 8-7 Portfolio of options f
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274decision variables are 0’s (we
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276The optimal benefit raised to 71
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278benefits of economies of scale,
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280Compared to the work of de Weck
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2823, the “brute force” and esp
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284providing the optimal solution i
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286the sequencing model itself. If
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288The framework developed is gener
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290Borison, A. (2003) “Real Optio
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292Flyvbjerg, B., Bruzelius, N, and
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294Leviakangas, P. L. and Lahesmaa,
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296Myers, S.C. (1984) “Finance th
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298Tufano, P., and Moel, A. (2000)
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300Appendix 5A: GAMS code for Ameri
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302Hld22.. H('2','2') =e= (V('3','2
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3047 20 14.816 10.976 14.8168 20 14
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306Appendix 5C: GAMS Code for analy
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3088 0.0659 0.06010 0.06211 0.06212
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310na3na4na5na6na7na8na9na10na11na1
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312na2(s)..na3(s)..na4(s)..na5(s)..
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314Appendix 6A: GAMS code for the s
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316Est(s,t)Pst(s,t)Ast(s,t)H(s)V(s)
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318Cost.. C =e= crf*(sum( s, (FC(s)
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3203 389 154;Scalars es /0.7/;Scala
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322Positive variableXsti(s,t,i)Psti
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324Appendix 6C: GAMS code for the r
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3261 21 262 2622 280 2803 240 253;T
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328*The following defintion of equa
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330Hydro2(s,t,i,q).. Pstiq(s,t,i,q)
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3321 0 02 0 03 389 154;Scalars es /
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334ParametersPVC(i) /1 12 0.4383 0.
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336force1force2force3force4* force5