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期貨避險策略之追蹤誤差分析

The Tracking Error of the Optimal Hedging Using Regression Analysis

摘要


風險-報酬避險是決定最佳避險策略的重要方法,以往的研究著重在最佳避險比例、及避險有效性的估計。本研究嘗試將追蹤誤差分析差應用在兩資產的特例:現貨與期貨的避險策略。我們結合報酬-變異數分析與套利迴歸模型,在常態分配假設環境,進行風險-報酬避險策略的追蹤誤差分析,並且提出一個簡易的迴歸分析方法,可以同時估計與檢定風險����報酬避險策略。就實務操作者而言,這個方法擁有方便計算與統計推論的優點。為了評估追蹤誤差法的避險績效,我們以台股加權指數與台股指數期貨的月報酬資料進行實例驗證。就夏普指標的觀點而言,我們發現追蹤誤差方法找到的避險比例,除了少數接近最佳風險-報酬避險比例的標竿避險,研究資料顯示追蹤誤差法所建立的投資組合皆可以打敗標竿避險。另一方面,追蹤誤差法與最佳風險����報酬法兩模型的避險比例,並未呈現統計上的顯著差異。換言之,追蹤誤差法的避險比例,不僅可以打敗標竿避險,同時也具有風險-報酬避險的優點。

並列摘要


We integrate appealing features of mean-variance framework and tracking error analysis into a regression-based approach. In this approach, we determine the optimal risk-return hedging ratio with respect to the tracking error criterion. To evaluate the performance of a hedging portfolio, we present an F-statistic based on a restricted regression for analyzing the tracking error. An example of hedging using tracking error analysis is also provided to illustrate this process.

參考文獻


Anderson, R.,Danthine, J.(1981).Cross Hedging.Journal of Political Economy.89,1182-1196.
Best, M.J.,Grauer, R.R.(1991).On the sensitivity of mean-variance portfolios to change in asset means: some analytical and computation results, and the structure of asset expected returns.Review of Financial Studies.4,315-342.
Britten-Jones, M.(1999).The sampling error in estimating of mean-variance efficient portfolio weights.Journal of Finance.54,655-671.
Chang, J.,Shanker, L.(1987).A risk-return measure of hedging effectiveness: a comment.Journal of Financial and Quantitative Analysis.22,373-376.
Chiu, W.Y.(2013).A simple test of optimal hedging policy.Statistics and Probability Letters.83,1062-1070.

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