Journal of Mathematical Finance

Volume 3, Issue 4 (November 2013)

ISSN Print: 2162-2434   ISSN Online: 2162-2442

Google-based Impact Factor: 0.87  Citations  h5-index & Ranking

Assessing the Risks of Trading Strategies Using Acceptability Indices

HTML  Download Download as PDF (Size: 634KB)  PP. 465-475  
DOI: 10.4236/jmf.2013.34049    3,325 Downloads   5,439 Views  Citations

ABSTRACT

The paper looks at the quantification of risks of trading strategies in incomplete markets. We realized that the no-arbitrage price intervals are unacceptably large. From a risk management point of view, we are concerned with finding prices that are acceptable to the market. The acceptability of the prices is assessed by risk measures. Plausible risk measures give price bounds that are suitable for use as bid-ask prices. Furthermore, the risk measures should be able to compensate for the unhedgeable risk to an extent. Conic finance provides plausible bid-ask prices that are determined by the probability distribution of the cash flows only. We apply the theory to obtain bid-ask prices in the assessment of the risks of trading strategies. We analyze two popular trading strategiesbull call the spread strategy and bear call spread strategy. Comparison of risk profiles for the strategies is done between the Variance Gamma Scalable Self Decomposable model and the Black-Scholes model. The findings indicate that using bid-ask prices compensates for the unhedgeable risk and reduces the spread between bid-ask prices.

Share and Cite:

M. Sonono and H. Mashele, "Assessing the Risks of Trading Strategies Using Acceptability Indices," Journal of Mathematical Finance, Vol. 3 No. 4, 2013, pp. 465-475. doi: 10.4236/jmf.2013.34049.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.