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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 洪茂蔚 | |
dc.contributor.author | Guo Jia-Hau | en |
dc.contributor.author | 郭家豪 | zh_TW |
dc.date.accessioned | 2021-06-08T06:13:48Z | - |
dc.date.copyright | 2007-05-25 | |
dc.date.issued | 2007 | |
dc.date.submitted | 2007-05-18 | |
dc.identifier.citation | Adams, K. and D. Deventer, June 1994, Fitting yield curves and forward rate curves with maximum smoothness, Journal of Fixed Income 4, 52-62.
Amin, K. and R. Jarrow, 1991, Pricing foreign currency options under stochastic interest rates, Journal of International money and Finance 10, 310-329. Amin, K. and R. Jarrow, 1992, Pricing options on risky assets in a stochastic interest rate economy, Mathematical Finance 2, 217-238. Andersen, T., L. Benzoni, and J. Lund, 1998, Estimating jump-diffusions for equity returns, working paper, Kellogg Graduate School of Management, Northwestern University. Andersen, L. and R. Brotherton-Ratcliffe, 1998, The equity option volatility smile-An implicit finite-difference approach, The Journal of Computational Finance 1 (2), 5-38. Bakshi, G., C. Cao and Z. Chen, 1997, Empirical performance of alternative option pricing models, Journal of Finance 53, 499-547. Bakshi, G., C. Cao and Z. Chen, 2000, Pricing and hedging long-term options, Journal of Econometrics 94, 277-318. Bakshi, G. and C. Cao, 2003, Risk-neutral kurtosis, jumps, and option pricing: evidence from 100 most actively traded firms on the CBOE, working paper. Bakshi, G. and N. Kapadia, 2003, Delta-hedged gains and the negative market volatility risk premium, Review of Financial Studies 16 (2), 527-566. Bakshi, G. and N. Kapadia, 2003, Volatility risk premium embedded in individual equity options: some new insights, working paper. Bakshi, G., N. Kapadia, and D. Madan, 2003, Stock return characteristics, skew laws, and the differential pricing of individual equity options, Review of Financial Studies 16 (1), 101-143. Barone-Adesi, G. and R. Whaley, 1987, Efficient analytic approximation of American option values, Journal of Finance 42, 301-320. Bates, D., 1991, The crash of `87: was it expected? the evidence from options markets, Journal of Finance 46, 69-107. Bates, D., 1996, Jumps and stochastic volatility: exchange rate processes implicit in PHLX deutsche mark options, Review of Financial Studies 9, 69-107. Bates, D., 2000, Post-87 crash fears in S&P 500 futures options, Journal of Econometrics 94, 181-238. Benhamou, E., 2003, Optimal Malliavin weighting function for the computation of the greeks, Mathematical Finance 13 (1), 37-53. Black, F. and M. Scholes., 1973, The pricing of options and corporate liabilities, Journal of Political Economy, 81, 637-659. Bolster, P., D. Chance, and D. Rich., 1996 Summer, Executive equity swaps and corporate insider holdings, Financial Management, 25, 14-24. Brown, S. and S. Schaefer, 1996, Ten Years of the Real Term Structure: 1984-1994, Journal of Fixed Income, 6-22. Canina, L. and S. Figlewski, 1993, The information content of implied volatilities, Review of Financial Studies 6, 659-681. Chance, D. and D. Rich, 1998 Summer, The pricing of equity swaps and swaptions, The Journal of Derivatives, 5, 19-31. Cox, J., S. Ross, and M. Rubinstein, 1979 September, Option pricing: a simplified approach, Journal of Financial Economics 7, 229-263. Duffie, D., J. Pan, and K. Singleton, 2000, Transform analysis and asset pricing for affine jump-duffusions, Econometrica 68 (6), 1343-1376. Duan, J., P. Ritchken, and Z. Sun, 2002, Option valuation with jumps in returns and volatility, working paper. Dumas, B., J. Fleming, and R. Whaley, 1998, Implied volatility functions: empirical tests, Journal of Finance, 53 (6), 2059-2106. Eraker, B., M. S. Johannes, and N. G. Polson, 2000, The impact of jumps in returns and volatility, working paper, University of Chicago. Geman, H., N. Karoui, and J. Rochet, 1995, Change of numeraire, changes of probability measure and option pricing, Journal of Applied Probability 32, 443-458. Heath, D., R. Jarrow, and A. Morton, 1992, Bonding pricing and the term structure of interest rates: A new methodology for contingent claims valuations, Econometrica, 60, 77-105. Heston, S., 1993, A closed form solution for options with stochastic volatility with applications to bond and currency options, Review of Financial Studies, 6 (2), 327-343. Hull, J. and A. White, 1987, The pricing of options on assets with stochastic volatilities, Journal of Finance 2, 281-300. Hull, J. and A. White, 1990, Pricing interest-rate-derivative decurities, Review of Finance Studies 3, 573-592. Inui, K. and M. Kijima, 1998, A markovian framework in multifactor Health-Jarrow-Morton models, Journal of Financial and Quantitative Analysis 33, 423-440. Jarrow, R. and S. Turnbull, 1996. Derivative Securites (Cincinnati:South- Western Publishing). Kijima, M. and Y. Muromachi, 2001 Summer, Pricing equity swaps in a stochastic interest rate economy, Journal of Derivatives, 19-35. Leisen, D. and M. Reimer, 1996, Binomial models for option valuation-examining and improving convergence, Applied Mathematical Finance 3, 319-346. Longstaff, F. and E. Schwartz, 2001 spring, Valuing American options by simulation: a simple least-squares approach, Review of Financial Studies 14 (1), 113-147. MacMillan, L., 1987, Analytic approximation for the American put option, Futures and Options Research 1A, 119-139. Merton, R., June 1973, Theory of rational option pricing, Bell Journal of Economics & Management 4 (1), 141-18. Pan, J., 2002, The jump-risk premia implicit in options: evidence from an investigated time-series study, Journal of Financial Economics 63 (1), 3-50. Pelsser, A. and T. Vorst, 1994 spring, The binomial model and the greeks, Journal of Derivatives, 45-48. Reiss, O. and U. Wystup, 2001, Efficient computation of option price sensitivities using homogeneity and other tricks, Journal of Derivatives 9 (2), 41-53. Rogers, L. and J. Stapleton, 1998, Fast accurate binomial pricing of options, Finance and Stochastics 2, 3-17. Roll, R., 1996, U.S. Treasury inflation-indexed bonds: the design of a new security, Journal of Fixed Income, 9-28. Singleton, K., 2001, Estimation of affine asset pricing models using the empirical characteristic function, Journal of Econometrics 102, 111-141. Tian, Y., 1993, A modified lattice approach to option pricing model, Journal of Future Markets 13 (5), 563-577. Whaley, R., 1982, Valuation of American calls on dividend-paying stocks, Journal of Financial Economics 10, 29-58. Woodward, T., 1990, The real thing: a dynamic profile of term structure of real interest rates and inflation expectations in the United Kingdom, 1982-89, Journal of Business 63, 373-398. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/25447 | - |
dc.description.abstract | 隨機波動模型自九零年代初期提出以來,深受學術界及實務界的重視,價格的隨機波動性證據在許多實證研究中廣泛出現,也得到一致性的確認其在資產評價上的顯著貢獻,然而,隨機波動模型在資產評價上的應用仍然有許多瓶頸,有待學術研究之突破發展。本論文的兩個部分,乃分別就隨機波動模型,在不同狀況條件及標的下,如何進行資產評價,進一步分析研究隨機波動性會對資產價值產生哪些影響。
論文的第一個部分是研究隨機波動模型在股酬交換評價上的應用,主要是提出了一個考慮隨機波動性及隨機利率的股酬交換評價模式之封閉解並藉此了解隨機過程之間相關係數對股酬交換(equity swap)之交換率(swap rate)的影響。探討有關之相關係數除了前文獻論述到的利率與標的物報酬率之間的相關係數外,我們更進一步檢視標的物報酬率與其波動性之間的相關性係數。我們的遠期中立評價模式除了應用在固定名目本金(constant notional principal)或可變名目本金(variable notional principal)之股酬交換外,也使用在隱含有遠期生效選擇權(forward start option)的上限型股酬交換(capped equity swap)。本研究證實雖然波動性是否放寬為隨機並不影響固定名目本金或可變名目本金股酬交換之評價,然而,對上限型股酬交換卻具有重要性。 而論文的第二個部分是研究隨機波動模型如何擴展到美式選擇權上的應用,考慮在可能提早履約的情境下,標的物之隨機波動性與代表突發衝擊事件之跳躍模式,如何來影響提早履約溢酬的問題。主要是將Bates在1991年和1996年使用到美式選擇權二次近似解方法(此法由Barone-Adesi和Whaley於1987首度提出),對固定波動性的假設作進一步放寬至隨機波動性,並多考慮了波動性出現跳躍模型的可能性。本文研究顯示提早履約溢酬對短期且價外之選擇權價值可能非常顯著,因此一般實證研究上將短期價外之美式選擇權當作不具提早履約溢酬之歐式選擇權的做法,可能有必要重新檢視其適當性。 | zh_TW |
dc.description.abstract | THESIS ABSTRACT
Stochastic volatility models have enjoyed an excellent reputation both theoretically and practically since introduced in the early 1990s. Lots of empirical studies provide evidence that the volatility of the price return is stochastic. The significant contribution of stochastic volatility models in asset pricing is consistently confirmed. However, there are still a few bottlenecks in asset pricing for the application of stochastic volatility models. Lots of problems remain unsolved. We consider different asset pricing problems in the two parts of the thesis, and provide the analytic solutions under stochastic volatility. We further analyze the impact of stochastic volatility on asset pricing. The purpose of the first part is to consider the problem of pricing equity swaps in a stochastic volatility and stochastic interest rates economy. This article adds to the literature on equity swaps by presenting an equity swap pricing model that allows for non-deterministic volatility and by exploiting the relation between the swap rate and the volatility variation of underlying equity returns. The pricing formulae consider not only the correlation between interest rates and underlying equity returns but also the correlation between volatility shocks and underlying equity returns. Closed form solutions for a variety of equity swaps with constant or variable notional principal in the stochastic volatility and stochastic interest rate model are derived from the forward-neutral pricing model. No matter whether the notional principal of the equity swap is constant or variable, its swap rate in the stochastic volatility case is shown to be the same as that in the deterministic volatility case. Nevertheless, it is not the case for capped equity swaps. A capped equity swap is composed of a normal equity swap and a series of forward-start European call options. Stochastic volatility plays an important role on the valuation of capped equity swaps. The problem of pricing American options using the quadratic approximation method with stochastic volatility and jumps is considered in the second part of the thesis. Compared to Monte Carlo simulations or other time-consumption numerical techniques, it is particularly valuable to extend the existing efficient solutions for American options from constant to stochastic volatility. Our results show that deep out of money American options with short-maturities should not be over-simplified to be treated as the European ones. Early exercise premiums are also found to be very sensitive to the changes in interest rates and dividend rates. | en |
dc.description.provenance | Made available in DSpace on 2021-06-08T06:13:48Z (GMT). No. of bitstreams: 1 ntu-96-D89724011-1.pdf: 824825 bytes, checksum: c0c7eb0e432d5e2dc0c48787799bfd09 (MD5) Previous issue date: 2007 | en |
dc.description.tableofcontents | Contents
1. Introduction 1 2. Pricing Equity Swaps in a Stochastic Volatility and Stochastic Interest Rates Economy 7 2.1 Abstract……………………………………………………………7 2.2 Introduction……………………………………………………….8 2.3 The Underlying Risk-Neutral Model…………………………….13 2.4 Valuation Framework……………………………………………14 2.5 Valuation of Equity Swaps………………………………………18 2.6 Valuation of Capped Equity Swaps……………...………………23 2.7 Numerical Examples…………………………………………….34 2.8 Conclusions……………………………………………………...38 3. A Generalization of the Barone-Adesi and Whaley Approach for the Analytic Approximation of American Options 40 3.1 Abstract………………………………………………………….40 3.2 Introduction……………………………………………………...40 3.3 Option Pricing under Double-Jump-Diffusion Processes…….…43 3.4 Analytic Approximations to American Option Values for Double- Jump-Diffusion Processes……………………………………..…45 3.5 Numerical Examples………………………………….…………50 3.6 Conclusions……………………………………………………...53 4. Conclusion 55 Appendixes 59 References 74 | |
dc.language.iso | en | |
dc.title | 資產評價隨機波動模型研究 | zh_TW |
dc.title | Essays in Asset Pricing under Stochastic Volatility | en |
dc.type | Thesis | |
dc.date.schoolyear | 95-2 | |
dc.description.degree | 博士 | |
dc.contributor.oralexamcommittee | 郭憲章,林丙輝,董澍琦,張傳章,陳家彬,李揚,李怡宗 | |
dc.subject.keyword | 隨機波動,權益交換,美式選擇權,二次近似解,遠期選擇權, | zh_TW |
dc.subject.keyword | Stochastic Volatility,Equity Swap,American Option,Quadratic Approximation,Forward-Start Option, | en |
dc.relation.page | 109 | |
dc.rights.note | 未授權 | |
dc.date.accepted | 2007-05-22 | |
dc.contributor.author-college | 管理學院 | zh_TW |
dc.contributor.author-dept | 國際企業學研究所 | zh_TW |
顯示於系所單位: | 國際企業學系 |
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