The handbook of convertible bonds : pricing, strategies and risk management
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書誌事項
The handbook of convertible bonds : pricing, strategies and risk management
（Wiley finance series）
John Wiley, 2011
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This is a complete guide to the pricing and risk management of convertible bond portfolios. Convertible bonds can be complex because they have both equity and debt like features and new market entrants will usually find that they have either a knowledge of fixed income mathematics or of equity derivatives and therefore have no idea how to incorporate credit and equity together into their existing pricing tools.
Part I of the book covers the impact that the 2008 credit crunch has had on the markets, it then shows how to build up a convertible bond and introduces the reader to the traditional convertible vocabulary of yield to put, premium, conversion ratio, delta, gamma, vega and parity. The market of stock borrowing and lending will also be covered in detail. Using an intuitive approach based on the Jensen inequality, the authors will also show the advantages of using a hybrid to add value - pre 2008, many investors labelled convertible bonds as 'investing with no downside', there are of course plenty of 2008 examples to prove that they were wrong. The authors then go onto give a complete explanation of the different features that can be embedded in convertible bond.
Part II shows readers how to price convertibles. It covers the different parameters used in valuation models: credit spreads, volatility, interest rates and borrow fees and Maturity.
Part III covers investment strategies for equity, fixed income and hedge fund investors and includes dynamic hedging and convertible arbitrage.
Part IV explains the all important risk management part of the process in detail.
This is a highly practical book, all products priced are real world examples and numerical examples are not limited to hypothetical convertibles. It is a must read for anyone wanting to safely get into this highly liquid, high return market.
目次
Reading this Book xiii
Preface xv
Acknowledgements xvii
PART I THE CONVERTIBLES MARKET 1
1 Terminology 3
1.1 The Payoff 3
1.2 Advantages of Convertibles 4
1.2.1 For the Issuer 5
1.2.2 For the Investor 8
1.3 Basic Terminology 13
1.4 Advanced Terminology 17
1.5 Legal Terminology 20
1.6 Analytics and Hedge Ratios 21
2 Convertible Bond Anatomy 25
2.1 Payoff to the Investor 25
2.2 Payoff Graph 26
2.2.1 Example 30
2.3 Boundary Conditions 31
2.3.1 Bond Floor 32
2.3.2 Parity 33
2.3.3 Investment Premium 33
2.3.4 Conversion Premium 34
2.4 Effect of the Call Protection 35
2.5 Announcement Effect 35
2.5.1 Dilution 41
2.5.2 Arbitrage Activity 41
3 Convertible and Hybrid Structures 43
3.1 Preferred Shares 43
3.2 Convertible Bond Option 45
3.3 Reverse Convertible 45
3.4 Perpetuals 46
3.5 Cross-Currency 46
3.6 Mandatory 48
3.6.1 PERCS 48
3.6.2 PEPS 48
3.7 Cashout Option 51
3.8 Exchangeable 51
3.9 Dividend Entitlement 52
4 Convertible Bonds Market 55
4.1 The Convertible Universe 55
4.1.1 Credit Rating 55
4.1.2 Convertible Type 56
4.1.3 Convertible Category 56
4.1.4 Maturity 57
4.1.5 Region 57
4.1.6 144A 57
4.2 The Prospectus 58
4.3 The Investors 58
4.3.1 Outright Investors 58
4.3.2 Convertible Bond Arbitrageurs 59
4.3.3 Example 60
4.3.4 Conclusions 62
4.4 Market Participants 62
4.4.1 Lead Manager 63
4.4.2 Trustee 63
4.4.3 Paying Agent 64
4.4.4 Market Makers 64
4.5 New Issuance 64
PART II PRICING 67
5 The Road to Convexity 69
5.1 Break-Even Analysis 69
5.1.1 Dollar Method 70
5.1.2 Equity Method 70
5.2 Discounted Yield Advantage 72
5.3 Convexity 74
5.4 Jensen s Inequality 75
5.5 Time Decay 77
5.6 Double-Signed Gamma 79
5.7 Colour 80
5.8 First Steps Using Convexity 81
5.8.1 A Fixed Income Investor 81
5.8.2 An Equity Investor 82
6 Basic Binomial Trees 85
6.1 Models 85
6.2 The Basic Ingredients 86
6.3 A Primer in Stochastic Calculus 91
6.3.1 Stochastic Equations 91
6.3.2 Ito s Lemma 92
6.3.3 Shares as Generalized Wiener Processes 93
6.3.4 Shares as a Log Process 93
6.3.5 Linking Both 94
6.4 Elementary Credit Model 95
6.4.1 Probabilities 95
6.4.2 Recovery Rate 98
6.4.3 Credit Triangle 98
6.5 Binomial Equity Models 99
6.5.1 Introduction 99
6.5.2 Binomial Tree 100
6.5.3 Unconditional Default Risk in the Binomial Tree 109
6.5.4 Adding Conditional Default Risk 116
6.5.5 Alternative Ways to Incorporate Credit Risk 120
6.6 Pricing Convertibles Using Binomial Trees 122
6.7 Credit Spread Modelling in Binomial Trees: A Practitioner s Approach 155
6.8 Conclusions 156
7 Multinomial Models 159
7.1 Convergence of the Binomial Model 159
7.1.1 Distribution Error 160
7.1.2 Non-linearity Error 160
7.2 Moments 161
7.3 Multinomial Models 164
7.4 Trinomial Model 166
7.4.1 Solving Moment-Matching Equations 166
7.4.2 Alternative Trinomial Models 167
7.5 Heptanomial Model 170
7.5.1 Solving Moment-Matching Equations 170
7.5.2 Calculation Time 171
7.6 Further Optimization 172
7.6.1 Smoothing 173
7.6.2 Adaptive Mesh Method 174
7.6.3 Truncation 175
7.6.4 Richardson Extrapolation 175
7.6.5 Bardhan Derman Kani Ergener Correction 175
7.7 Other Refinements 179
7.7.1 Stock Borrowing 179
7.7.2 Cross-Currency 182
7.7.3 Discrete Dividends 184
7.7.4 Transaction Costs 196
7.7.5 Rational Issuers 199
7.7.6 Pricing Dilution 201
7.8 Resets in Multinomial Models 201
7.8.1 Convertible Bond Pricing: Conclusions 203
8 Ascots 207
8.1 Risk Components of a Convertible 207
8.2 Asset Swaps 208
8.2.1 Introduction 208
8.2.2 Credit Risk 211
8.2.3 Closing Out the Swap 212
8.3 Ascots 213
8.3.1 Making the Asset Swap Callable 213
8.3.2 Convertible Asset Swap Package 213
8.3.3 Ascot Features 215
8.3.4 Ascot Term Sheet 216
8.4 Advantages for the Credit Buyer 216
8.5 Advantages for the Ascot Buyer 217
8.5.1 Credit 217
8.5.2 Leverage 218
8.6 Pricing of Ascots 219
8.6.1 Intrinsic Model 219
8.6.2 Option Model 219
8.7 Ascot Greeks 222
8.7.1 Rho 222
8.7.2 Delta 223
8.7.3 Vega 225
8.8 CB Warrants 226
PART III RISK MANAGEMENT AND STRATEGIES 227
9 Measuring the Risk 229
9.1 Portfolio Risk 229
9.2 A Portfolio in Trouble 231
9.3 Risk Categories 238
9.3.1 Market Risk 238
9.3.2 Liquidity Risk 239
9.3.3 Takeover Risk 242
9.3.4 Example: Nokian Tyres 0% 2014 246
9.3.5 Example: Allergan Inc 1.5% 2026 247
9.3.6 Documentation Risk 248
9.3.7 Model Risk 248
9.3.8 Counterparty Risk 249
9.3.9 Operational Risk 249
9.3.10 Regulation Risk 250
9.3.11 Financing Risk 250
9.4 Coherent Risk Measures 251
9.5 Option Greeks 253
9.5.1 Introduction 253
9.5.2 Extended Tree Method 257
9.5.3 Delta 258
9.5.4 Gamma 260
9.5.5 Rho 261
9.5.6 Omicron 263
9.5.7 Vega 265
9.5.8 Volga 266
9.5.9 Epsilon 269
9.5.10 Theta 270
9.6 Fixed Income Measures 272
9.6.1 Duration (Modified) 272
9.6.2 Yields 273
9.7 Cross Greeks 275
9.7.1 Charm 278
9.7.2 Vanna 279
9.8 Speed and Colour 282
9.9 VaR and Beyond 283
9.9.1 VaR Approaches 284
9.9.2 VaR-Related Measures 289
9.9.3 VaR Caveats 291
9.10 Back Testing 292
9.11 Stress Testing 293
10 Dynamic Hedging 295
10.1 Hedge Instruments 295
10.2 Delta Hedging 297
10.2.1 Introduction 297
10.2.2 More than Only Delta 297
10.2.3 Delta Hedge: Neutral, Over- or Under-hedge 299
10.2.4 Delta Caveats 302
10.2.5 Delta and Volatility 302
10.3 Volatility 302
10.3.1 Estimating Historical Volatility 304
10.3.2 Volatility Cone 306
10.3.3 Volatility Surface 308
10.3.4 Term Structure of I 309
10.3.5 Volatility Smile of I 310
10.3.6 Volsurface Movements 310
10.3.7 At-the-Money Volatility 310
10.4 Gamma Trading 311
10.4.1 Rebalancing the Delta Hedge 312
10.4.2 Dynamic Hedging with Transaction Costs 314
10.4.3 Hedging at What Volatility? 317
10.5 The Variance Swap 324
10.5.1 Introduction 324
10.5.2 Volatility Convexity 326
10.5.3 Spot and Forward Start 327
10.5.4 Mark to Market of the Variance Swap 327
10.5.5 Caveats 328
11 Monte Carlo Techniques for Convertibles 329
11.1 Adding More Realism 329
11.1.1 Introduction 329
11.1.2 Deterministic Volatility 330
11.1.3 Multifactor Models 330
11.2 Monte Carlo Method 334
11.2.1 Introduction 334
11.2.2 Generating Random Paths 336
11.2.3 Errors 338
11.2.4 Variance Reduction 338
11.3 American Monte Carlo 340
11.3.1 Introduction 340
11.3.2 Longstaff and Schwartz Model 343
11.3.3 Example 346
References 363
Index 369
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