Acknowledgements |
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vii | |
List of Symbols |
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xiii | |
1 Introduction |
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1 | (8) |
2 The Corporate Securities Framework |
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9 | (26) |
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9 | (22) |
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9 | (3) |
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2.1.2 The Firm's Value and Operations |
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12 | (2) |
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14 | (3) |
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17 | (3) |
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20 | (4) |
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2.1.6 Tax Advantage to Debt, and Traditional Firm Value Models |
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24 | (3) |
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2.1.7 Capital Restructuring and Optimal Bankruptcy |
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27 | (4) |
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2.2 Remarks on Extension of the Framework |
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31 | (3) |
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2.2.1 Flexible Refinancing Policies |
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31 | (1) |
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2.2.2 Refinement of the Bankruptcy Model |
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32 | (1) |
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2.2.3 Investment Decisions |
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33 | (1) |
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2.2.4 Unknown Initial EBIT - Incomplete Knowledge |
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33 | (1) |
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34 | (1) |
3 ABM- and GBM-EBIT-Models |
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35 | (40) |
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3.1 Arithmetic vs. Geometric Brownian Motion |
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35 | (2) |
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3.2 The Basic ABM-EBIT-Model |
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37 | (26) |
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3.2.1 EBIT-Process and Firm Value |
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37 | (1) |
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3.2.2 The Case of a Single Perpetual Debt Issue |
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38 | (7) |
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3.2.2.1 The Value of Debt, Equity, and the Government's Claim |
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38 | (4) |
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3.2.2.2 The Optimal Bankruptcy Level and Coupon |
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42 | (1) |
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3.2.2.3 Minimum Optimal Coupon and Asset Substitution |
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43 | (2) |
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3.2.3 Finite Maturity Debt and Multiple Financing Sources |
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45 | (17) |
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3.2.3.1 Bankruptcy Probabilities and Claims with Finite Maturities |
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45 | (8) |
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3.2.3.2 Value of the First Maturing Bond |
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53 | (4) |
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3.2.3.3 Value of the Second Maturing and Consecutive Bonds |
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57 | (5) |
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3.2.4 Term Structure of Credit Spreads |
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62 | (1) |
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3.3 The Case of Geometric Brownian Motion |
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63 | (4) |
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64 | (2) |
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3.3.2 The Perpetual Debt Case |
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66 | (1) |
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3.4 A Numerical Extension of the Basic Setting |
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67 | (6) |
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3.4.1 A Lattice Approach for the Corporate Securities Framework |
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67 | (4) |
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3.4.1.1 The Approximation of the EBIT-Process |
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67 | (2) |
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3.4.1.2 Payments to Claimants and Terminal Security Values |
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69 | (2) |
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3.4.1.3 Security Valuation |
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71 | (1) |
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3.4.2 Numerical Integration Scheme |
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71 | (2) |
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73 | (2) |
4 Numerical Illustration of the ABM- and GBM-Model |
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75 | (48) |
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75 | (15) |
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4.1.1 The Economic Environment and the Base Case Firm |
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76 | (1) |
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4.1.2 The Arithmetic Brownian Motion Firm |
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77 | (10) |
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4.1.2.1 Comparative Statics of the ABM-Firm |
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79 | (4) |
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4.1.2.2 Numerical Extensions of the ABM-EBIT-Model |
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83 | (4) |
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4.1.3 The Geometric Brownian Motion Firm |
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87 | (3) |
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4.1.3.1 Comparative Statics of the GBM-EBIT-Model |
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87 | (3) |
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4.1.3.2 Numerical Extension of the GBM-EBIT-Model |
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90 | (1) |
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4.2 Valuing Equity Options |
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90 | (28) |
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4.2.1 Comparison of Numerical Methods |
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95 | (1) |
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4.2.2 Equity Values and Their Densities at Option Maturity |
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96 | (17) |
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97 | (7) |
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4.2.2.2 Comparative Statics |
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104 | (9) |
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4.2.3 Equity Option Prices and Implied Black/Scholes Volatilities |
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113 | (5) |
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118 | (5) |
5 Empirical Test of the EBIT-Based Credit Risk Model |
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123 | (26) |
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5.1 Existing Literature and Shortcomings |
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123 | (3) |
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5.2 Estimation of Parameters of the Corporate Securities Framework |
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126 | (10) |
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5.2.1 The Corporate Securities Framework Revisited |
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126 | (1) |
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5.2.2 Estimation Approaches Using Accounting Data |
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127 | (1) |
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5.2.3 Calibration Approach |
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128 | (1) |
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5.2.4 Duan's Latent Variable Approach |
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128 | (2) |
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5.2.5 A Kalman Filter Approach |
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130 | (4) |
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5.2.6 Parameter Estimation and Inference |
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134 | (2) |
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5.3 Implementing the Corporate Securities Framework |
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136 | (2) |
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138 | (7) |
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138 | (2) |
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5.4.2 Parameter Estimation Results |
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140 | (5) |
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145 | (4) |
6 Concluding Remarks |
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149 | (6) |
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149 | (3) |
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152 | (3) |
A Notes on the Equity Option Valuation |
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155 | (4) |
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A.1 A Note on the Change in Variable of Equity Value and its Return Density Plots |
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155 | (1) |
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A.2 Distributional Assumptions and Option Prices |
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156 | (3) |
B Additional Tables and Figures |
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159 | (10) |
References |
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169 | (7) |
List of Figures |
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176 | (6) |
List of Tables |
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182 | (5) |
Curriculum Vitae |
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187 | |