Real Options Valuation

The Importance of Stochastic Process Choice in Commodity Price Modelling

Real Options Valuation

The Importance of Stochastic Process Choice in Commodity Price Modelling

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The Author shows that modelling the uncertain cash flow dynamics of an investment project deserves careful attention in real options valuation. Focusing on the case of commodity price uncertainty, a broad empirical study reveals that, contrary to common assumptions, prices are often non-stationary and exhibit non-normally distributed returns. Subsequently, more realistic stochastic volatility, jump diffusion, and Lévy processes are evaluated in the context of a stylised investment project. The valuation results suggest that stochastic process choice can have substantial implications for valuation results and optimal investment rules.

Max Schöne is a Ph.D. student at the WHU - Otto Beisheim School of Management with a research focus on real options valuation and decision making under uncertainty.

1;Foreword;6 2;Table of contents;7 3;List of figures;9 4;List of tables;10 5;List of abbreviations;11 6;1 Introduction;13 6.1;1.1 Problem and objective;14 6.2;1.2 Course of investigation;16 7;2 Data;18 8;3 Empirical analysis;21 8.1;3.1 Stationarity of prices;21 8.2;3.2 Analysis of returns;34 8.2.1;3.2.1 Stylised properties;35 8.2.2;3.2.2 Jumps and GARCH effects;44 9;4 Modelling commodity prices;52 9.1;4.1 Stochastic processes;53 9.1.1;4.1.1 Stochastic volatility;57 9.1.2;4.1.2 Jump diffusion;59 9.1.3;4.1.3 Lévy processes;63 9.2;4.2 Model selection;69 9.2.1;4.2.1 Calibration;69 9.2.2;4.2.2 Goodness of fit;74 10;5 Capital budgeting implications;79 10.1;5.1 A stylised investment project;79 10.2;5.2 Results;84 11;6 Conclusion;88 12;Appendix;90 12.1;Appendix A;90 12.1.1;A1: Liquidity of commodity prices. A1:;90 12.1.2;A2: Historical price evolution. A1:;91 12.1.3;A3: Non-trading dates excluded from dataset (1);92 12.1.4;A3: Non-trading dates excluded from dataset (2);93 12.1.5;A4: In-sample APDF: Calibrated parameters (1);94 12.1.6;A4: In-sample APDF: Calibrated parameters (2);95 12.1.7;A5: Out-of-sample APDF: Calibrated parameters (1);96 12.1.8;A5: Out-of-sample APDF: Calibrated parameters (2);97 12.1.9;A6: Capital investment project: Valuation parameters;98 12.2;Appendix B;99 12.2.1;B1: Expected value and variance for GBM and the Vasicek model:;99 12.2.2;B2: Maximum likelihood calibration:;99 12.2.3;B3: Characteristic function and Fourier transforms;101 12.2.4;B4: Quadratic exponential scheme for Heston and Bates process;102 12.2.5;B5: Basis functions and confidence intervals in LSM;105 13;References;107
ISBN 9783658074937
Article number 9783658074937
Media type eBook - PDF
Edition number 2. Aufl.
Copyright year 2014
Publisher Springer Gabler
Length 114 pages
Language English
Copy protection Digital watermarking