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| 研究生： |
劉姿伶 Liu, Tzu-Ling |
|---|---|
| 論文名稱： |
隱含破產機率之研究－ 以新冠肺炎中後期間美國上市公司為例 A study of implied probability of bankruptcy – an example of US listed companies during mid-to-late period of Coronavirus |
| 指導教授： |
曾祺峰
Tzeng, Chi-Feng |
| 口試委員: |
冼芻蕘
Sin, Chor-Yiu 駱建陵 Lo, Chien-Ling |
| 學位類別： |
碩士 Master |
| 系所名稱： |
科技管理學院 - 計量財務金融學系 Department of Quantitative Finance |
| 論文出版年： | 2021 |
| 畢業學年度： | 109 |
| 語文別： | 中文 |
| 論文頁數： | 35 |
| 中文關鍵詞： | 選擇權隱含破產機率 、風險中立機率密度函數 、正卷積近似模型 、2019新型冠狀病毒肺炎 |
| 外文關鍵詞： | Options implied of bankruptcy probability, Risk neutral density, Positive convolution approximation, Covid-19 |
| 相關次數： | 點閱：2 下載：0 |
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2019年底所爆發的新型冠狀病毒疫情對於全球經濟帶來重大的影響，人們的消費模式及活動受病毒肆虐的影響，出現了改變及限制；企業經營的風險和對於未來的不確定性大幅上升。在本研究中，我們想藉此觀察美國上市公司於疫情期間，破產的可能性以及公司股價預測之機率密度函數的捕捉及變化。
兩種模型，分別為混合對數常態分配模型搭配破產機率（Mixture Lognormal Densities with Probability of Bankruptcy ，MLNbk）以及正卷積近似模型（Positive Convolution Approximation，PCA）將被採用，並藉由股票選擇權價格所隱含著市場參與者對於未來預期的特性，本研究透過股票選擇權價格來協助估計公司之隱含破產機率以及捕捉風險中立機率密度函數圖形。我們比較及檢視兩模型之配適結果，並特別觀察擁有估計之高隱含破產機率的日期，其機率密度函數的變化以及所可能反應於市場上的相對事件。
The outbreak of Coronavirus at the end of 2019 has brought significant impact to the global economy. Consuming behavior patterns of customers and regular activities have been changed and restricted due to easily and quickly spread of virus. Business operations suffered terribly and the risk undertake by the company and the uncertainty of the future has risen. In this study, we would like to estimate the implied bankruptcy probability and examine the shape of risk neutral density during this period of time.
Two models, Mixture Lognormal Densities with Probability of Bankruptcy (MLNbk) and Positive Convolution Approximation (PCA) are applied. Owning to the characteristics of stock option prices which contain the information about market participants’ expectations for the future, stock option prices of United States listed companies are used to estimate the implied bankruptcy probability and the risk neutral density. We compared and examined the results between two models particularly on high implied bankruptcy probability dates to observe whether there are major events happen around that time.
Bondarenko, O. (2003). Estimation of risk-neutral densities using positive convolution approximation. Journal of Econometrics, Vol. 116, issue 1-2, 85-112.
Breeden, D.T., and Litzenberger, R.H. (1978). Prices of State-Contingent Claims Implicit in Option Prices. Journal of Business, Vol. 51, No. 4.
Black, F., and Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy, 81(3), 637–654.
Bernales, A., Verousis, T., Voukelatos, N., and Zhang, M. (2020). What do we know about individual equity options? Journal of Futures Markets. 40: 67– 91.
Capuano, C. (2008). The option‐iPoD: The probability of default implied by option prices based on entropy. IMF Working paper No. 08/194.
Câmara, A., Popova, I., and Simkins, B. (2012). A comparative study of the probability of default for global financial firms. Journal of Banking & Finance, 36(3), 717–732.
Cox, J.C., and Ross, S.A. (1976). The Valuation of Options for Alternative Stochastic Processes. Journal of Financial Economics, 3, 145-166.
Diltz, J. D., and Kim, S. (1996). The relationship between stock and option price changes. Financial Review, 31(3), 499–519.
Govindaraj, S., Jin, W., Livnat, J., and Zhao, C. (2014). Using option implied volatilities to predict absolute stock returns—evidence from earnings announcements and annual shareholders’ meetings. New Brunswick: Rutgers University. Working Paper.
Jackwerth, R., and Rubinstein M. (1996). Recovering Probability Distributions from Option Prices. Journal of Finance, 51, 1611-1631.
Lamoureux, C. G., and Lastrapes, W. D. (1993). Forecasting stock‐return variance: Toward an understanding of stochastic implied volatilities. Review of Financial Studies, 6(2), 293–326.
Lin, T.C., and Lu, X. (2015). Why do options prices predict stock returns? Evidence from analyst tipping. Journal of Banking & Finance, 52, 17–28.
Latané, H. A., and Rendleman, R. J. (1976). Standard deviations of stock price ratios implied in option prices. The Journal of Finance, 31(2), 369–381.
Merton, R.C. (1974). On the pricing of corporate debt: the risk structure of interest rates. Journal of Finance, 29, 449-470.
Merton, R.C. (1976). Option pricing when underlying stock returns are discontinuous. Journal of Finance Economics, 3, 125-144.
Manaster, S., and Rendleman, R. J. (1982). Option prices as predictors of equilibrium stock prices. The Journal of Finance, 37(4), 1043–1057.
Mayhew, S., and Stivers, C. (2003). Stock return dynamics, option volume, and the information content of implied volatility. Journal of Futures Markets, 23(7), 615–646.
Taylor, S. J., Tzeng, C. F., and Widdicks, M. (2014). Bankruptcy probabilities inferred from option prices. The Journal of Derivatives, 22(2), 8–31.