國立屏東大學學報:管理類  2023/12
第六期 (Vol.6)    
 
台指期貨與選擇權之避險績效比較評估  
Comparative Assessment of Hedging Strategies through Taiwan stock Futures and Options
簡巧雯
Chiao-wen Chien
曹美蘭
Meilan Tsao
中文摘要
本文選取臺灣證券當中有發行個股選擇權之證券,模擬出的投資組合作現貨部位,並且以臺股期貨和臺指選擇權作為避險工具,採用簡單避險法、最小平方法(OLS)與GARCH模型進行避險,以比較各種策略之避險績效。簡單避險法之避險比例理論上設為1,最小平方法(OLS)與GARCH模型之避險比例皆採取靜態避險方式。以Park與Switzer(1995)的衡量(傳統避險績效),以及以Sharpe指標的報酬/風險相對值,進行避險績效的評估。實證結果顯示,若以臺股期貨為避險工具,則OLS避險模式之避險效果最佳,但是三種避險模式的績效差距小;若以臺指選擇權為避險工具,以OLS避險法效果最佳,簡單避險法表現最差。在避險工具的使用上,以傳統避險績效而言,臺股期貨在各種避險策略下之避險效果皆優於臺指賣權;但是若以報酬/風險相對值,則為臺指賣權優於臺股期貨;換言之,若以避險之後投資報酬變異數減少的程度而言,運用臺指期貨比臺指賣權有較多的變異數減少幅度。但是若以風險溢酬相對於風險承擔程度而言,臺指賣權有相對較高的單位風險溢酬。
中文關鍵字

英文摘要
Hedging against investment risks is an essential element in portfolio management. This study evaluates the hedging performances by implementing two derivatives, Taiwan stock futures and Taiwan index options, as hedging instruments.
Spot portfolio are simulated using the market value weighted average of stocks that has options listed. Three econometric methods are used to estimate hedge ratio: i. Simple hedging, in which the hedge ratio is set at 1, ii. Ordinary least squares (OLS), and iii. Generalized AutoRegressive Conditional Heteroskedasticity (GARCH). For OLS and GARCH, we consider only the static regression model. Hedge effectiveness is then assessed by two indicators: a. Percent reduction in the variance of hedged versus unhedged portfolio, a widely used method proposed by Parkand Switzer(1995. b. Sharpe ratio -the return to variance ratio of a hedged portfolio.
Empirical results show that variance between different hedge ratio estimations is negligible when hedging with Taiwan stock future contract, while OLS outperforms all other metrics, presenting optimal hedge ratio when hedging with Taiwan index options. Evaluation of hedge effectiveness indicate that hedging with future contract results in better percent reduction in hedging variance, but hedging with options culminates in superior return to risk ratio. We conclude that hedging with Taiwan stock futures is preferable for the reduction of return variance, while the potency for risk mitigation hedging with Taiwan index options is reflected in its higher risk premium.
英文關鍵字