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Structural Framework for the Pricing of Corporate Securities: Economic and Empirical Issues 2006 ed. [Pehme köide]

  • Formaat: Paperback / softback, 188 pages, kõrgus x laius: 229x152 mm, kaal: 670 g, XX, 188 p., 1 Paperback / softback
  • Sari: Lecture Notes in Economics and Mathematical Systems 566
  • Ilmumisaeg: 26-Oct-2005
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540286837
  • ISBN-13: 9783540286837
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  • Formaat: Paperback / softback, 188 pages, kõrgus x laius: 229x152 mm, kaal: 670 g, XX, 188 p., 1 Paperback / softback
  • Sari: Lecture Notes in Economics and Mathematical Systems 566
  • Ilmumisaeg: 26-Oct-2005
  • Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540286837
  • ISBN-13: 9783540286837
Teised raamatud teemal:
In the last few years, a re ned pricing of corporate securities has come intofocusofacademicsandpractitioners.Asempiricalresearchshowed, traditionalassetpricingmodelscouldnotpricecorporatesecuritiess- ?ciently well. Time series properties of quoted securities were di cult to replicate. In the search for more advanced models that capture the empirical ?ndings, researchers followed two approaches. The ?rst stream of - search ?tted the time series properties of corporate securities directly. Werefertothisclassofmodelsasbeingofreducedform.Securityprices are assumed to follow more advanced stochastic models, in particular 1 models withe.g. non-constant volatility. All studiesofthistypedonot consider the economics of the issuing companies but simply assume a stochastic behavior of the security or its state variables. In contrast, a second, economic literature developed by studying the ?rm. We call these kinds of models structural because the limited liability of equity holders is modeled explicitly as a function of ?rm value. One problem of the reduced form approach is its di culty of int- pretation in an economic sense. Being technically advanced, reduced form models often lack an intuitive economic model and especially d- guise the economic assumptions. If security pricing is the only purpose of the exercise, we might not need an economic model. However, if we wanttounderstandpricemovements,aseriouslinkwiththeunderlying economics appears important. Thecreditriskliteratureevenadoptedthisparticularterminologyto 2 categorize its models. Whereas reduced form models take each corpo- 1 See e.g. Stein and Stein (1991) for a stochastic volatility model and Heston and Nandi (2000) on GARCH option pricing.
Acknowledgements vii
List of Symbols xiii
1 Introduction 1(8)
2 The Corporate Securities Framework 9(26)
2.1 The Economic Setting
9(22)
2.1.1 EBIT-Generator
9(3)
2.1.2 The Firm's Value and Operations
12(2)
2.1.3 Bankruptcy
14(3)
2.1.4 Capital Structure
17(3)
2.1.5 Tax System
20(4)
2.1.6 Tax Advantage to Debt, and Traditional Firm Value Models
24(3)
2.1.7 Capital Restructuring and Optimal Bankruptcy
27(4)
2.2 Remarks on Extension of the Framework
31(3)
2.2.1 Flexible Refinancing Policies
31(1)
2.2.2 Refinement of the Bankruptcy Model
32(1)
2.2.3 Investment Decisions
33(1)
2.2.4 Unknown Initial EBIT - Incomplete Knowledge
33(1)
2.3 Summary
34(1)
3 ABM- and GBM-EBIT-Models 35(40)
3.1 Arithmetic vs. Geometric Brownian Motion
35(2)
3.2 The Basic ABM-EBIT-Model
37(26)
3.2.1 EBIT-Process and Firm Value
37(1)
3.2.2 The Case of a Single Perpetual Debt Issue
38(7)
3.2.2.1 The Value of Debt, Equity, and the Government's Claim
38(4)
3.2.2.2 The Optimal Bankruptcy Level and Coupon
42(1)
3.2.2.3 Minimum Optimal Coupon and Asset Substitution
43(2)
3.2.3 Finite Maturity Debt and Multiple Financing Sources
45(17)
3.2.3.1 Bankruptcy Probabilities and Claims with Finite Maturities
45(8)
3.2.3.2 Value of the First Maturing Bond
53(4)
3.2.3.3 Value of the Second Maturing and Consecutive Bonds
57(5)
3.2.4 Term Structure of Credit Spreads
62(1)
3.3 The Case of Geometric Brownian Motion
63(4)
3.3.1 The General Case
64(2)
3.3.2 The Perpetual Debt Case
66(1)
3.4 A Numerical Extension of the Basic Setting
67(6)
3.4.1 A Lattice Approach for the Corporate Securities Framework
67(4)
3.4.1.1 The Approximation of the EBIT-Process
67(2)
3.4.1.2 Payments to Claimants and Terminal Security Values
69(2)
3.4.1.3 Security Valuation
71(1)
3.4.2 Numerical Integration Scheme
71(2)
3.5 Summary
73(2)
4 Numerical Illustration of the ABM- and GBM-Model 75(48)
4.1 A Base Case Example
75(15)
4.1.1 The Economic Environment and the Base Case Firm
76(1)
4.1.2 The Arithmetic Brownian Motion Firm
77(10)
4.1.2.1 Comparative Statics of the ABM-Firm
79(4)
4.1.2.2 Numerical Extensions of the ABM-EBIT-Model
83(4)
4.1.3 The Geometric Brownian Motion Firm
87(3)
4.1.3.1 Comparative Statics of the GBM-EBIT-Model
87(3)
4.1.3.2 Numerical Extension of the GBM-EBIT-Model
90(1)
4.2 Valuing Equity Options
90(28)
4.2.1 Comparison of Numerical Methods
95(1)
4.2.2 Equity Values and Their Densities at Option Maturity
96(17)
4.2.2.1 General Comments
97(7)
4.2.2.2 Comparative Statics
104(9)
4.2.3 Equity Option Prices and Implied Black/Scholes Volatilities
113(5)
4.3 Summary
118(5)
5 Empirical Test of the EBIT-Based Credit Risk Model 123(26)
5.1 Existing Literature and Shortcomings
123(3)
5.2 Estimation of Parameters of the Corporate Securities Framework
126(10)
5.2.1 The Corporate Securities Framework Revisited
126(1)
5.2.2 Estimation Approaches Using Accounting Data
127(1)
5.2.3 Calibration Approach
128(1)
5.2.4 Duan's Latent Variable Approach
128(2)
5.2.5 A Kalman Filter Approach
130(4)
5.2.6 Parameter Estimation and Inference
134(2)
5.3 Implementing the Corporate Securities Framework
136(2)
5.4 The Simulation Study
138(7)
5.4.1 Experiment Design
138(2)
5.4.2 Parameter Estimation Results
140(5)
5.5 Summary
145(4)
6 Concluding Remarks 149(6)
6.1 Summary
149(3)
6.2 Future Research
152(3)
A Notes on the Equity Option Valuation 155(4)
A.1 A Note on the Change in Variable of Equity Value and its Return Density Plots
155(1)
A.2 Distributional Assumptions and Option Prices
156(3)
B Additional Tables and Figures 159(10)
References 169(7)
List of Figures 176(6)
List of Tables 182(5)
Curriculum Vitae 187