UTILITY INDIFFERENCE PRICING AND MEAN-VARIANCE APPROACH WHEN THE DEGREE OF RISK AVERSION IS SMALL

J. Hodoshima
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Abstract

We study the properties of the risk-sensitive value measure and mean-variance approach studied by Hodoshima et al. [2] when the degree of risk aversion is small. We show that the two value measures work similarly in normal mixture distributions as well as any distribution when the degree of risk aversion is small. Therefore, the advantage of the risk-sensitive value measure disappears compared to mean- variance approach in any distribution when the degree of risk aversion is small. We obtain the result by approximating the risk-sensitive value measure by Taylor series expansion.
风险厌恶程度较小时的效用无差别定价和均值方差法
我们研究了Hodoshima et al.[2]研究的风险敏感值度量和均值-方差方法在风险厌恶程度较小时的性质。我们表明,这两个值度量在正态混合分布以及风险厌恶程度较小的任何分布中都是相似的。因此,在任何分布中,当风险厌恶程度较小时,风险敏感值度量与均值-方差方法相比的优势就消失了。我们通过泰勒级数展开式逼近风险敏感值测度得到结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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