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卡方分配及其應用蔡增勳 Unknown Date (has links)
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台灣選舉事件與台指選擇權的資訊效率李明珏, Li, Ming-Chueh Unknown Date (has links)
台灣特殊的兩黨對立政治環境及幾乎每年都會有的固定選舉,使得政治的不確定性深深的影響著國內的投資環境及投資人心態。本研究便是要探討,2002/1/1~2006/1/16 研究期間台灣的投資人在選舉前後的投資行為,是否真如大家所預期的,會受到台灣選舉事件的影響。
本研究首先利用適當的機率密度函數模型及選擇權市場資訊來導出隱含的風險中立密度值。再利用這些風險中立密度值,求出各個選舉事件相對應的機率分配圖形,並透過其機率分配圖形及波動率指數等統計值於投票日前後的變化來觀察某一選舉事件前後投資者的反應。
研究結果發現:1. 選舉事件的發生確實會影響投資者的心理,且投資者會透過選擇權市場有效率的反應預期的未來股價指數分佈情況。2. 越大型、越具爭議且全國性的選舉結果,其選舉期間機率分配圖形及波動率指數具有較高的波動性。3. 一般而言,選舉過後市場不確定因素降低,將使投資者對於股市的預期較為一致和樂觀。而若這個選舉結果使投資者感到意外,因而增加了市場的不確定性,則選後機率分配圖形及波動率指數的改變反而會更為明顯。4. 在此研究下對數常態混合法比傳統的 Black-Scholes 方法產生較低的誤差值,因此就實證的分析上能提供更好的配適。 / This research examines the behavior of investors during election periods from January 1st 2002 to January 6th 2006 in Taiwan. The research includes a few steps. First, we adopted a proper probability density function composed of stock index options data to construct the implied distribution. Then, when changing the whole shape of the risk-neutral implied distribution, the volatility indexes, and the statistics of the implied distribution, we observed investors' response around a specific election event.
According to the empirical results, we found that: 1. An election event would influence investors’ behavior, and investors tend to reflect their expectation of future stock index in the option market in an efficient way. 2. The result of a large-scale and more disputed nationwide election will cause a higher fluctuation in both the implied distribution and the volatility index. 3. In general, the factor resulting from investors’ uncertainty of the market is likely to reduce after the election, which makes investors’ relatively unanimous and optimistic expectation of the stock market. However, if this election result surprises investors, their uncertainty of the market will increase, and thus the changes of the implied distribution and the volatility index become quite obvious. 4. The in-sample performance of the lognormal mixtures method employed in the research is considerably better than that of the traditional Black-Scholes model by having a lower root mean squared error.
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