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題名 The valuation of projects:a real-option approach
作者 吳聰皓
貢獻者 顏錫銘
吳聰皓
關鍵詞 real options
patent valuation
copula functions
R&D projects
日期 2009
上傳時間 8-Dec-2010 01:54:32 (UTC+8)
摘要 Valuation of R&D projects is quite complex due to the substantial uncertainties in a project`s life-cycle phases. The sequential nature of R&D projects continuously provides decision-makers with choices regarding whether and when to undertake future potential investment opportunities. This means that when valuing R&D projects decision-makers should take these factors into account. But R&D project usually takes long time to complete processes for commercialization. If the time to complete is longer, it is easier to trigger the crisis for capital shortage. So it seems very important modeling the capital shortage risk to induce the probability of failure in the pricing model. In this thesis we try to apply the analogy of financial securities subject to credit risk of Jarrow & Turnbull (1995) and attempt to value patents with capital shortage risk in an arbitrage free environment using the martingale measure technique. Furthermore, derive closed form formula for patents valuation which makes application easier than that of the theoretic option model. The major findings are: (1) when considering the effect of the failure frequency (capital shortage risk), the patent value will grow rapidly and then converge in the short run, no matter how other parameters incorporated into the robust analysis; (2) when increasing in the volatility of market revenues with synchronized higher volatility of investment cost, the volatility curve will be distorted to be U-shaped. Meanwhile, lower failure frequency could aggravate the decreasing in the option value.
     Another issue is when the manager exercises the project with multiple underlying assets, where the assets returns are of non-linear correlation particularly in the non-Normal environment. Non-parametric dependence measures may better employed when explaining co-movement. We focus on the value of a (such as resources development) project in general depends on the price of the multiple products; these are usually correlated to some extent. So the project was treated as having a rainbow option, whose underlying asset prices correlate with each other, and also as having uncertainties that decrease according to the project stage. Based on Cherubini and Luciano’s framework (2002), the risk-neutral copula models are derived to figure decision flexibilities out easily. The main framework studies the valuation of a project (call on Max) by determining the joint risk-neutral distribution of the underlying assets (products) using copulas. Monte-Carlo simulations show that the higher default risk and association among the assets and the expected cost to completion contributes the higher risk premium in our model with dependence structure of Archimedean copula family than traditional Black-Scholes environment.
Valuation of R&D projects is quite complex due to the substantial uncertainties in a project`s life-cycle phases. The sequential nature of R&D projects continuously provides decision-makers with choices regarding whether and when to undertake future potential investment opportunities. This means that when valuing R&D projects decision-makers should take these factors into account. But R&D project usually takes long time to complete processes for commercialization. If the time to complete is longer, it is easier to trigger the crisis for capital shortage. So it seems very important modeling the capital shortage risk to induce the probability of failure in the pricing model. In this thesis we try to apply the analogy of financial securities subject to credit risk of Jarrow & Turnbull (1995) and attempt to value patents with capital shortage risk in an arbitrage free environment using the martingale measure technique. Furthermore, derive closed form formula for patents valuation which makes application easier than that of the theoretic option model. The major findings are: (1) when considering the effect of the failure frequency (capital shortage risk), the patent value will grow rapidly and then converge in the short run, no matter how other parameters incorporated into the robust analysis; (2) when increasing in the volatility of market revenues with synchronized higher volatility of investment cost, the volatility curve will be distorted to be U-shaped. Meanwhile, lower failure frequency could aggravate the decreasing in the option value.
     Another issue is when the manager exercises the project with multiple underlying assets, where the assets returns are of non-linear correlation particularly in the non-Normal environment. Non-parametric dependence measures may better employed when explaining co-movement. We focus on the value of a (such as resources development) project in general depends on the price of the multiple products; these are usually correlated to some extent. So the project was treated as having a rainbow option, whose underlying asset prices correlate with each other, and also as having uncertainties that decrease according to the project stage. Based on Cherubini and Luciano’s framework (2002), the risk-neutral copula models are derived to figure decision flexibilities out easily. The main framework studies the valuation of a project (call on Max) by determining the joint risk-neutral distribution of the underlying assets (products) using copulas. Monte-Carlo simulations show that the higher default risk and association among the assets and the expected cost to completion contributes the higher risk premium in our model with dependence structure of Archimedean copula family than traditional Black-Scholes environment.
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Benninga, S., and E. Tolkowsky, 2002, “Real-Options: An Introduction and Application to R&D Valuation,” The Engineering Economist 47, 151-168.
Berk, J., R. Green and V. Naik, 2004, “Valuation and Return Dynamics of New Ventures,” Review of Financial Studies 17, 1-35.
Bhattacharya, S., and D. Mookherjee, 1986, “Portfolio Choice in Research and Development,” Rand Journal of Economics 17, 594-605.
Bikos, A., 2000, “Bivariate Fx Pdfs: A Sterling eri Application,” Bank of England ,” Working Paper.
Black, F., and M. Scholes, 1973, “The Pricing of Options and Corporate Liabilities,” Journal of Political Economy 81, 637-654.
Bloch, C. , 2005, "R&D investment and internal finance: The cash flow effect," Economics of Innovation and New Technology 14(3): 213-223.
Brennan, M., and E. Schwartz, 1985, “Evaluating natural resource investments,” The Journal of Business 58, 135-157.
Cassimon, D., P.J. Engelen, L. Thomassen, and M.V. Wouwe, 2004, “The Valuation of a NDA using a 6-fold Compound Option,” Research Policy 33, 41-51.
Cherubini, U., and E. Luciano, 2002, Bivariate Option Pricing with Copulas,” Applied Mathematical Finance 9, 69-85.
Childs, P., and A. Triantis, 1999, “Dynamic R&D Investment Policies,” Management Science 45, 1359-1377.
Copeland, T., and P. Keenan, 1998, “Making Real Options Real,” The McKinsey Quarterly 1.
Copeland, T., T. Koller, and J. Murrin, 2000. Valuation: Measuring and Managing the Value of Companies (Wiley).
Cortazar, G., and E. Schwartz, 1993, “A Compound Option Model of Production and Intermediate Inventories,” The Journal of Business 66, 517-540.
Cortazar, G., E. Schwartz, and M. Salinas, 1998, “Evaluating Environmental Investments: A Real Options Approach,” Management Science 44, 1059-1070.
Damodaran, A., 2000, “The Promise of Real Options,” Journal of Applied Corporate Finance 13, 29-44.
Das, S., D. Duffie, 2007, "Common failings: How corporate defaults are correlated," The Journal of Finance 62(1): 93-117.
Dasgupta, P., and E. Maskin, 1987, “The Simple Economics of Research Portfolios,” The Economic Journal 97, 581-595.
Dixit, A., R. Pindyck, and G. Davis, 1994, Investment under Uncertainty (Princeton University Press Princeton, NJ).
Duffie, D., and K. Singleton, 1999, “Modeling Term Structures of Defaultable bonds,” Review of Financial Studies 12, 687.
Dutta, P., 1997, Optimal Management of an R&D budget,” Journal of Economic Dynamics and Control 21, 575-602.
Ekern, S., 1988, “An Option Pricing Approach to Evaluating Petroleum Projects,” Energy Economics 10, 91-99.
Embrechts, P., A. McNeil, and D. Straumann, 2002, Correlation and Dependence Properties in Risk Management: Properties and Pitfalls, in M. Dempster, ed., Risk Management: Value at Risk and Beyond, Cambridge University Press.
Embrechts, P., C. Kluppelberg, Modelling Extremal Events for Insurance and Finance. 1997, Springer-Verlag: Heidelberg.
Galambos, J., 1978, The Asymptotic Theory of Extreme Order Statistics, Wiley, New York.
Geske, R., 1979, “The Valuation of Compound Options,” The Journal of Financial Economics 7, 63-81.
Giannetti, C. and C. San Micheletto, 2009, "Relationship Lending and Firm Innovativeness," SSRN Working Paper.
Gompers, P., 1995, “Optimal Investment, Monitoring, and the Staging of Venture Capital,” The journal of finance 50, 1461-1489.
Gouriéroux, G. and J. Jasiak, 2004, “Stochastic Volatility Durations,” Journal of Econometrics 119, 413-435.
Grossman, G., and C. Shapiro, 1986, “Optimal Dynamic R&D Programs,” The Rand Journal of Economics 17, 581-593.
Gukhal, C., 2004, “The Compound Option Approach to American Options on Jump-Diffusions,” Journal of Economic Dynamics and Control 28, 2055-2074.
He, H., and R. Pindyck, 1992, “Investments in Flexible Production Capacity,” Journal of Economic Dynamics and Control 16, 575-99.
Herath, H., and C. Park, 2002, “Multi-Stage Capital Investment Opportunities as Compound Real Options,” The Engineering Economist 47, 1-27.
Ho, T., and S. Lee, 1986, “Term Structure Movements and Pricing Interest Rate Contingent Claims,” The journal of finance 41, 1011-1029.
Hsu, J., and E. Schwartz, 2008, “A Model of R&D Valuation and the Design of Research Incentives,” Insurance Mathematics and Economics 43, 350-367.
Jarrow, R., and S. Turnbull, 1995, “Pricing Derivatives on Financial Securities Subject to Credit Risk,” Journal of finance 53-85.
Jarrow, R., D. Lando, and S. Turnbull, 1997, "A Markov model for the term structure of credit risk spreads," Review of financial studies 10(2): 481-523.
Jarrow, R., D. Lando, and S. Turnbull, 1997, “A Markov Model for the Term Structure of Credit Risk Spreads,” The Review of Financial Studies 10, 481-523.
Joe, H., 1997, “Multivariate Models and Dependence Concepts,” Monographs in Statistics and Probability 73, Chapman and Hall, London.
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描述 博士
國立政治大學
財務管理研究所
88357504
98
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0883575041
資料類型 thesis
dc.contributor.advisor 顏錫銘zh_TW
dc.contributor.author (Authors) 吳聰皓zh_TW
dc.creator (作者) 吳聰皓zh_TW
dc.date (日期) 2009en_US
dc.date.accessioned 8-Dec-2010 01:54:32 (UTC+8)-
dc.date.available 8-Dec-2010 01:54:32 (UTC+8)-
dc.date.issued (上傳時間) 8-Dec-2010 01:54:32 (UTC+8)-
dc.identifier (Other Identifiers) G0883575041en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/48976-
dc.description (描述) 博士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 財務管理研究所zh_TW
dc.description (描述) 88357504zh_TW
dc.description (描述) 98zh_TW
dc.description.abstract (摘要) Valuation of R&D projects is quite complex due to the substantial uncertainties in a project`s life-cycle phases. The sequential nature of R&D projects continuously provides decision-makers with choices regarding whether and when to undertake future potential investment opportunities. This means that when valuing R&D projects decision-makers should take these factors into account. But R&D project usually takes long time to complete processes for commercialization. If the time to complete is longer, it is easier to trigger the crisis for capital shortage. So it seems very important modeling the capital shortage risk to induce the probability of failure in the pricing model. In this thesis we try to apply the analogy of financial securities subject to credit risk of Jarrow & Turnbull (1995) and attempt to value patents with capital shortage risk in an arbitrage free environment using the martingale measure technique. Furthermore, derive closed form formula for patents valuation which makes application easier than that of the theoretic option model. The major findings are: (1) when considering the effect of the failure frequency (capital shortage risk), the patent value will grow rapidly and then converge in the short run, no matter how other parameters incorporated into the robust analysis; (2) when increasing in the volatility of market revenues with synchronized higher volatility of investment cost, the volatility curve will be distorted to be U-shaped. Meanwhile, lower failure frequency could aggravate the decreasing in the option value.
     Another issue is when the manager exercises the project with multiple underlying assets, where the assets returns are of non-linear correlation particularly in the non-Normal environment. Non-parametric dependence measures may better employed when explaining co-movement. We focus on the value of a (such as resources development) project in general depends on the price of the multiple products; these are usually correlated to some extent. So the project was treated as having a rainbow option, whose underlying asset prices correlate with each other, and also as having uncertainties that decrease according to the project stage. Based on Cherubini and Luciano’s framework (2002), the risk-neutral copula models are derived to figure decision flexibilities out easily. The main framework studies the valuation of a project (call on Max) by determining the joint risk-neutral distribution of the underlying assets (products) using copulas. Monte-Carlo simulations show that the higher default risk and association among the assets and the expected cost to completion contributes the higher risk premium in our model with dependence structure of Archimedean copula family than traditional Black-Scholes environment.
zh_TW
dc.description.abstract (摘要) Valuation of R&D projects is quite complex due to the substantial uncertainties in a project`s life-cycle phases. The sequential nature of R&D projects continuously provides decision-makers with choices regarding whether and when to undertake future potential investment opportunities. This means that when valuing R&D projects decision-makers should take these factors into account. But R&D project usually takes long time to complete processes for commercialization. If the time to complete is longer, it is easier to trigger the crisis for capital shortage. So it seems very important modeling the capital shortage risk to induce the probability of failure in the pricing model. In this thesis we try to apply the analogy of financial securities subject to credit risk of Jarrow & Turnbull (1995) and attempt to value patents with capital shortage risk in an arbitrage free environment using the martingale measure technique. Furthermore, derive closed form formula for patents valuation which makes application easier than that of the theoretic option model. The major findings are: (1) when considering the effect of the failure frequency (capital shortage risk), the patent value will grow rapidly and then converge in the short run, no matter how other parameters incorporated into the robust analysis; (2) when increasing in the volatility of market revenues with synchronized higher volatility of investment cost, the volatility curve will be distorted to be U-shaped. Meanwhile, lower failure frequency could aggravate the decreasing in the option value.
     Another issue is when the manager exercises the project with multiple underlying assets, where the assets returns are of non-linear correlation particularly in the non-Normal environment. Non-parametric dependence measures may better employed when explaining co-movement. We focus on the value of a (such as resources development) project in general depends on the price of the multiple products; these are usually correlated to some extent. So the project was treated as having a rainbow option, whose underlying asset prices correlate with each other, and also as having uncertainties that decrease according to the project stage. Based on Cherubini and Luciano’s framework (2002), the risk-neutral copula models are derived to figure decision flexibilities out easily. The main framework studies the valuation of a project (call on Max) by determining the joint risk-neutral distribution of the underlying assets (products) using copulas. Monte-Carlo simulations show that the higher default risk and association among the assets and the expected cost to completion contributes the higher risk premium in our model with dependence structure of Archimedean copula family than traditional Black-Scholes environment.
en_US
dc.description.tableofcontents ABSTRACT I
     LIST OF FIGURES III
     LIST OF TABLES IV
     Chapter 1 Introduction 1
     1.1 Review of the Methods of Projects Valuation 1
     1.1.1 COMPOUND REAL OPTION MODELS 4
     1.1.2 VALUING PATENTS AND PATENT APPLICATIONS 6
     1.1.3 The Context of Copulas 11
     1.2 Motivations of This Dissertation 15
     1.3 Purposes of This Dissertation 17
     1.4 Contents of This Dissertation 18
     Chapter 2 Valuing Multi-stage Projects with Capital Shortage Risk 19
     2.1 Introduction 19
     2.2 The Model 25
     2.3 Comparative Statics and Economic Implications 32
     2.3.1 Sensitivity to Assessments of Revenues and Costs 33
     2.3.2 Sensitivity to Uncertainty Parameters 37
     2.3.3 Sensitivity to Other Parameters 39
     2.4 Summary and Conclusions 43
     Chapter 3 Valuing Multi-asset Projects with Copulas 45
     3.1 Introduction 45
     3.2 Multivariate Risk-Neutral Distributions 47
     3.2.1 Brief Reviews of Sklar’s (1959) Copula Models 47
     3.2.2 The Model 52
     3.2.3 From the Multivariate RND to the Risk-neutral Copula 53
     3.2.4 The RND Copula and the Risk-neutral Assumption 55
     3.3 Pricing Multi-asset Options 57
     3.4 Monte Carlo Simulations 60
     3.4.1 Description of the Monte Carlo Method Procedure 60
     3.4.2 Numerical Analyses 63
     3.5 Summary and Conclusions 68
     Chapter 4 Conclusion and Discussion 70
     4.1 Concluding Remarks 70
     4.2 Potentials for Future Research 71
     Appendix 73
     Bibliography 79
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0883575041en_US
dc.subject (關鍵詞) real optionsen_US
dc.subject (關鍵詞) patent valuationen_US
dc.subject (關鍵詞) copula functionsen_US
dc.subject (關鍵詞) R&D projectsen_US
dc.title (題名) The valuation of projects:a real-option approachen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Amin, K.I. and R.A. Jarrow, 1992, “Pricing Options on Risky Assets in a Stochastic Interest Rate Economy,” Mathematical Finance 2, 217-237.zh_TW
dc.relation.reference (參考文獻) Benninga, S., and E. Tolkowsky, 2002, “Real-Options: An Introduction and Application to R&D Valuation,” The Engineering Economist 47, 151-168.zh_TW
dc.relation.reference (參考文獻) Berk, J., R. Green and V. Naik, 2004, “Valuation and Return Dynamics of New Ventures,” Review of Financial Studies 17, 1-35.zh_TW
dc.relation.reference (參考文獻) Bhattacharya, S., and D. Mookherjee, 1986, “Portfolio Choice in Research and Development,” Rand Journal of Economics 17, 594-605.zh_TW
dc.relation.reference (參考文獻) Bikos, A., 2000, “Bivariate Fx Pdfs: A Sterling eri Application,” Bank of England ,” Working Paper.zh_TW
dc.relation.reference (參考文獻) Black, F., and M. Scholes, 1973, “The Pricing of Options and Corporate Liabilities,” Journal of Political Economy 81, 637-654.zh_TW
dc.relation.reference (參考文獻) Bloch, C. , 2005, "R&D investment and internal finance: The cash flow effect," Economics of Innovation and New Technology 14(3): 213-223.zh_TW
dc.relation.reference (參考文獻) Brennan, M., and E. Schwartz, 1985, “Evaluating natural resource investments,” The Journal of Business 58, 135-157.zh_TW
dc.relation.reference (參考文獻) Cassimon, D., P.J. Engelen, L. Thomassen, and M.V. Wouwe, 2004, “The Valuation of a NDA using a 6-fold Compound Option,” Research Policy 33, 41-51.zh_TW
dc.relation.reference (參考文獻) Cherubini, U., and E. Luciano, 2002, Bivariate Option Pricing with Copulas,” Applied Mathematical Finance 9, 69-85.zh_TW
dc.relation.reference (參考文獻) Childs, P., and A. Triantis, 1999, “Dynamic R&D Investment Policies,” Management Science 45, 1359-1377.zh_TW
dc.relation.reference (參考文獻) Copeland, T., and P. Keenan, 1998, “Making Real Options Real,” The McKinsey Quarterly 1.zh_TW
dc.relation.reference (參考文獻) Copeland, T., T. Koller, and J. Murrin, 2000. Valuation: Measuring and Managing the Value of Companies (Wiley).zh_TW
dc.relation.reference (參考文獻) Cortazar, G., and E. Schwartz, 1993, “A Compound Option Model of Production and Intermediate Inventories,” The Journal of Business 66, 517-540.zh_TW
dc.relation.reference (參考文獻) Cortazar, G., E. Schwartz, and M. Salinas, 1998, “Evaluating Environmental Investments: A Real Options Approach,” Management Science 44, 1059-1070.zh_TW
dc.relation.reference (參考文獻) Damodaran, A., 2000, “The Promise of Real Options,” Journal of Applied Corporate Finance 13, 29-44.zh_TW
dc.relation.reference (參考文獻) Das, S., D. Duffie, 2007, "Common failings: How corporate defaults are correlated," The Journal of Finance 62(1): 93-117.zh_TW
dc.relation.reference (參考文獻) Dasgupta, P., and E. Maskin, 1987, “The Simple Economics of Research Portfolios,” The Economic Journal 97, 581-595.zh_TW
dc.relation.reference (參考文獻) Dixit, A., R. Pindyck, and G. Davis, 1994, Investment under Uncertainty (Princeton University Press Princeton, NJ).zh_TW
dc.relation.reference (參考文獻) Duffie, D., and K. Singleton, 1999, “Modeling Term Structures of Defaultable bonds,” Review of Financial Studies 12, 687.zh_TW
dc.relation.reference (參考文獻) Dutta, P., 1997, Optimal Management of an R&D budget,” Journal of Economic Dynamics and Control 21, 575-602.zh_TW
dc.relation.reference (參考文獻) Ekern, S., 1988, “An Option Pricing Approach to Evaluating Petroleum Projects,” Energy Economics 10, 91-99.zh_TW
dc.relation.reference (參考文獻) Embrechts, P., A. McNeil, and D. Straumann, 2002, Correlation and Dependence Properties in Risk Management: Properties and Pitfalls, in M. Dempster, ed., Risk Management: Value at Risk and Beyond, Cambridge University Press.zh_TW
dc.relation.reference (參考文獻) Embrechts, P., C. Kluppelberg, Modelling Extremal Events for Insurance and Finance. 1997, Springer-Verlag: Heidelberg.zh_TW
dc.relation.reference (參考文獻) Galambos, J., 1978, The Asymptotic Theory of Extreme Order Statistics, Wiley, New York.zh_TW
dc.relation.reference (參考文獻) Geske, R., 1979, “The Valuation of Compound Options,” The Journal of Financial Economics 7, 63-81.zh_TW
dc.relation.reference (參考文獻) Giannetti, C. and C. San Micheletto, 2009, "Relationship Lending and Firm Innovativeness," SSRN Working Paper.zh_TW
dc.relation.reference (參考文獻) Gompers, P., 1995, “Optimal Investment, Monitoring, and the Staging of Venture Capital,” The journal of finance 50, 1461-1489.zh_TW
dc.relation.reference (參考文獻) Gouriéroux, G. and J. Jasiak, 2004, “Stochastic Volatility Durations,” Journal of Econometrics 119, 413-435.zh_TW
dc.relation.reference (參考文獻) Grossman, G., and C. Shapiro, 1986, “Optimal Dynamic R&D Programs,” The Rand Journal of Economics 17, 581-593.zh_TW
dc.relation.reference (參考文獻) Gukhal, C., 2004, “The Compound Option Approach to American Options on Jump-Diffusions,” Journal of Economic Dynamics and Control 28, 2055-2074.zh_TW
dc.relation.reference (參考文獻) He, H., and R. Pindyck, 1992, “Investments in Flexible Production Capacity,” Journal of Economic Dynamics and Control 16, 575-99.zh_TW
dc.relation.reference (參考文獻) Herath, H., and C. Park, 2002, “Multi-Stage Capital Investment Opportunities as Compound Real Options,” The Engineering Economist 47, 1-27.zh_TW
dc.relation.reference (參考文獻) Ho, T., and S. Lee, 1986, “Term Structure Movements and Pricing Interest Rate Contingent Claims,” The journal of finance 41, 1011-1029.zh_TW
dc.relation.reference (參考文獻) Hsu, J., and E. Schwartz, 2008, “A Model of R&D Valuation and the Design of Research Incentives,” Insurance Mathematics and Economics 43, 350-367.zh_TW
dc.relation.reference (參考文獻) Jarrow, R., and S. Turnbull, 1995, “Pricing Derivatives on Financial Securities Subject to Credit Risk,” Journal of finance 53-85.zh_TW
dc.relation.reference (參考文獻) Jarrow, R., D. Lando, and S. Turnbull, 1997, "A Markov model for the term structure of credit risk spreads," Review of financial studies 10(2): 481-523.zh_TW
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