Asymptotic behaviour of mean-quantile efficient portfolios

Autor: Antony Ware, Gordana Dmitrašinović-Vidović
Rok vydání: 2006
Předmět:
Zdroj: Finance and Stochastics. 10:529-551
ISSN: 1432-1122
0949-2984
DOI: 10.1007/s00780-006-0018-0
Popis: In this paper we investigate portfolio optimization in the Black–Scholes continuous-time setting under quantile based risk measures: value at risk, capital at risk and relative value at risk. We show that the optimization results are consistent with Merton’s two-fund separation theorem, i.e., that every optimal strategy is a weighted average of the bond and Merton’s portfolio. We present optimization results for constrained portfolios with respect to these risk measures, showing for instance that under value at risk, in better markets and during longer time horizons, it is optimal to invest less into the risky assets.
Databáze: OpenAIRE