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Wilmott P., Bowison S., DeWynne J. — Option Pricing: Mathematical Models and Computation
Wilmott P., Bowison S., DeWynne J. — Option Pricing: Mathematical Models and Computation



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Название: Option Pricing: Mathematical Models and Computation

Авторы: Wilmott P., Bowison S., DeWynne J.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st edition

Год издания: 1993

Количество страниц: 457

Добавлена в каталог: 26.02.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Initial condition, finite differences      277 278 295
Initial condition, implicit method      295
Initial condition, lookback put      338
Initial value problem      81
Instability      281 286
Instability, illustration      284
Instalment option      73
Interest rate      15 34 41
Interest rate, cap      249
Interest rate, caption      250
Interest rate, floor      249
Interest rate, floortion      250
Interest rate, known function of time      144 233
Interest rate, nonnegative      241
Interest rate, random walk for      237
Interest rate, spot rate      236
Interest rate, stochastic      236
Interest rate, swap      248
Interest rate, swaption      250
Interest rate, term structure      235
Interest rates, stochastic      256
Interpolation      291 342
Interpolation, accuracy      344
Interpolation, jump conditions      343
Intrinsic value      36
Ito's lemma      26 42 157 237 256 376
Jump condition      138 142
Jump condition, discrete dividend      139
Jump condition, discrete sampling      162 174
Jump condition, in numerical method      337
Jump condition, interpolation for      343
Jump condition, lookback option      210
Kolmogorov equation      361
Kolmogorov equation, backward      372
Kolmogorov equation, forward      363
Lattice methods      262 384
Lattice methods, American options      387
Lattice methods, binomial      387
Lattice methods, common fallacy      387
Lattice methods, delta      386
Lattice methods, dividends      387
Lattice methods, efficiency      387
Lattice methods, exotic options      387 388
Lattice methods, reconnecting lattice      390
Lattice methods, relation of binomial and trinomial      406
Lattice methods, relation to finite differences      262 279 288 408
Lattice methods, risk neutrality      385
Lattice methods, tree-structure      385
Lattice methods, trinomial      387 406
Linear complementarity problem      124 316
Linear complementarity problem, advantages      324
Linear complementarity problem, American call      133 324
Linear complementarity problem, American put      128 324
Linear complementarity problem, average strike      355
Linear complementarity problem, convergence      335
Linear complementarity problem, discretisation      325 327
Linear complementarity problem, exotic options      159
Linear complementarity problem, finite differences      325 327
Linear complementarity problem, lookback option      209
Linear complementarity problem, matrix form      318 328
Linear complementarity problem, obstacle problem      124 316
Linear system      296
Lognormal distribution      23 364
Long position      11
Lookback option      15 150 156 201
Lookback option, American      204 207
Lookback option, Black — Scholes inequality      206
Lookback option, continuous sampling      203
Lookback option, discrete sampling      209
Lookback option, explicit formulae      207
Lookback option, jump conditions      210
Lookback option, linear complementarity formulation      209
Lookback option, payoff      206
Lookback option, payoff for American      207
Lookback option, pseudo-code      341
Lookback option, put      201
Lookback option, rate      202
Lookback option, strike      202
LU decomposition, pseudo-code      302
Margin      10 64
Margin requirement      69
Market portfolio      13
Market price of risk      239
Market price of risk, assets      239
Market price of risk, convertible bond      258
Markov process      20
Markov property      24
Matrix, backward substitution      299 301
Matrix, Crank — Nicolson method      309
Matrix, diagonal      421
Matrix, diagonally dominant      297 299 310
Matrix, finite-element      412 415 420
Matrix, forward substitution      299 301
Matrix, implicit method      296
Matrix, invertible      296 297 310
Matrix, linear complementarity problem      318 328
Matrix, lower triangular      299
Matrix, LU decomposition      297—300
Matrix, projected SOR      328
Matrix, strictly diagonally dominant      297
Matrix, symmetric      412
Matrix, tridiagonal      297 300 421
Matrix, upper triangular      299
Maturity date      232
mesh      274
Mesh, American option      325
Mesh, approximation      274
Mesh, average strike      350
Mesh, finite difference      274
Mesh, finite-difference      274
Mesh, finite-element      411 413
Mesh, natural      289
Mesh, spacing      274
Mesh, three-dimensional      339
Method of images      166
Modern Portfolio Theory (MPT)      13
Monte Carlo method      262
Moving average, crossing of two      381
Moving average, exponentially weighted      376
Moving average, first exit time for      377
Moving average, scaled      376
Node, finite-difference      274
Node, finite-element      413 421
Normal distribution      22 52
Numerical methods      261
Numerical methods, $\theta$-method      293 312
Numerical methods, American average strike      353
Numerical methods, American call      333 336
Numerical methods, American option      315 323 325 418
Numerical methods, American option algorithm      328
Numerical methods, American put      333
Numerical methods, approximation      263
Numerical methods, average strike algorithm      355
Numerical methods, average strike option      337 344 346
Numerical methods, backward substitution      299 301
Numerical methods, Bermudan option      333
Numerical methods, binary option      268
Numerical methods, binomial method      262
Numerical methods, Black — Scholes      267
Numerical methods, boundary conditions      278 280 308
Numerical methods, characteristics      346
Numerical methods, convergence      263 278 289 305 313 335
Numerical methods, convergence for Black — Scholes      289
Numerical methods, convergence problem      263
Numerical methods, Crank — Nicolson      270 293 306-
Numerical methods, dangers      261 274 289 290
Numerical methods, diffusion equation      267
Numerical methods, discretisation      263
Numerical methods, discretisation error      286 287
Numerical methods, efficiency      263 283 294 297 301 310 332 339 348
Numerical methods, error analysis      264
Numerical methods, European average strike      350
Numerical methods, European call      268
Numerical methods, European options      277 293
Numerical methods, European put      268 281
Numerical methods, exotic options      337
Numerical methods, explicit algorithm      280 282
Numerical methods, explicit equations      278
Numerical methods, explicit method      270 277 286
Numerical methods, finite differences      267
Numerical methods, finite elements      410 418
Numerical methods, finite-difference mesh      274 278 279
Numerical methods, forward substitution      299 301
Numerical methods, free boundary problems      315
Numerical methods, fully implicit method      293 294
Numerical methods, general considerations      262 264
Numerical methods, implicit algorithm      301
Numerical methods, implicit equations      295
Numerical methods, implicit method      270 293 294
Numerical methods, initial condition      278 280 308
Numerical methods, interpolation      291
Numerical methods, jump conditions      337
Numerical methods, lattice and finite differences related      408
Numerical methods, lattice methods      262 384
Numerical methods, linear complementarity problem      325
Numerical methods, lookback put      338
Numerical methods, LU decomposition      297—299 310 352
Numerical methods, Monte Carlo      262
Numerical methods, obstacle problem      316 320 410
Numerical methods, path-dependent options      337
Numerical methods, projected SOR      319 327
Numerical methods, projected SOR algorithm      319 320
Numerical methods, relation of convergence and stability      286
Numerical methods, relaxation parameter      330
Numerical methods, rounding error      285 286
Numerical methods, SOR      319 332
Numerical methods, SOR algorithm      333
Numerical methods, stability      263 281 283 284 289 304 313 326 348
Numerical methods, stability of Black — Scholes      289
Numerical methods, test function      411
Numerical methods, trinomial method      262 406
Numerical methods, variational inequality      411
Obstacle problem      55 123
Obstacle problem, classical formulation      124
Obstacle problem, discretisation      317
Obstacle problem, finite differences      317
Obstacle problem, finite elements      410
Obstacle problem, linear complementarity formulation      124 316
Obstacle problem, matrix      318
Obstacle problem, numerical methods      316 317 320
Obstacle problem, projected SOR      319 320
Obstacle problem, variational inequality formulation      125 410
Optimal exercise boundary, American call      113 335
Optimal exercise boundary, American put      109 324
Optimal exercise boundary, local analysis      115
Optimal exercise price      55 107
Optimal exercise price, American call      107 118
Option, American      14 54 319 323 324
Option, American call      110 323 333
Option, American cash-or-nothing call      62 324
Option, American put      107 323 333
Option, as-you-like-it      154
Option, Asian      15 150 155 170
Option, asset-or-nothing      163
Option, average rate      193
Option, average strike      155 337 403
Option, barrier      15 149 150 164
Option, Bermudan      333
Option, binary      37 38 148 150 268 324
Option, bond      248
Option, call      3
Option, cash-or-nothing call      37 151 268
Option, chooser      150 154
Option, cliquet      150
Option, compound      150 152
Option, delta      64
Option, digital      38 148 150
Option, down-and-out      149
Option, European      14
Option, exchange      150
Option, exotic      15 148 337
Option, finite element formulation      419
Option, foreign exchange      191
Option, gamma      64
Option, instalment      73
Option, ladder      150
Option, lookback      15 150 156 201
Option, lookback call      338
Option, lookback put      338
Option, lookback rate      202
Option, lookback strike      202
Option, over-the counter (OTC)      9
Option, over-the-counter (OTC)      149
Option, path-dependent      15
Option, perpetual      218
Option, perpetual barrier      169
Option, present value      365
Option, put      3
Option, range forward      150
Option, rho      65
Option, Russian      218
Option, stop-loss      219
Option, theta      65
Option, two-colour rainbow      150
Option, vanilla      10
Option, vega      65
Option, writer      1 10
Order notation      30
Out barrier      149
Out-of-the-money      36
Over-the-counter (OTC)      149
Parabolic equation      45 80
Parabolic equation, backward      46 361
Parabolic equation, final condition      46
Parabolic equation, forward      46
Parabolic equation, initial value problem      81
Parameter estimation      25
Partial differential equation, boundary conditions      45
Partial differential equation, characteristics      78
Partial differential equation, elliptic      83
Partial differential equation, final condition      76
Partial differential equation, first order      75 77
Partial differential equation, hyperbolic      83 346
Partial differential equation, initial condition      76
Partial differential equation, initial value problem      81
Partial differential equation, parabolic      45 80 83 346
Partial differential equation, second order      75
Partial differential equation, similarity solution      89
Partial differential equation, well-posed problem      76
Path-dependent option      15 148
Path-dependent option, Black — Scholes equation      157
Path-dependent option, numerical methods      337
Payoff diagram, butterfly spread      72
Payoff diagram, call option      36
Payoff diagram, cash-or-nothing call      37
Payoff diagram, put option      37
Payoff diagram, straddle      72
Payoff diagram, various definitions of      36
Payoff, American lookback option      207
Payoff, American path-dependent option      158
Payoff, average strike call      158
Payoff, lookback option      206
Perpetual option      218
Portfolio, efficient      13
Portfolio, market      13
Present value      16
Probability distribution, asset      358
Probability distribution, cumulative      372
Probability distribution, first exit time      374
Probability distribution, lognormal      364
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