Informatics Publishing Limited

Sastry K. R. Jammalamadaka ¹, K. V. N. M. Ramesh ², J. V. R. Murthy ²

Affiliations
1 Department of Electronics and Computer Engineering, KL University, Vaddeswaram - 522502, Andhra Pradesh, IN
2 Jawaharlal Nehru Technological University, Kakinada – 533003, Andhra Pradesh, IN

Abstract

Measurement of market risk requires lots of computational resources when the Value-at-Risk (VaR) is computed using the historical simulation approach as it involves full revaluation of the portfolio for the considered data points. Although approximations can be done using the delta-normal, delta-gamma and delta-gamma-theta approaches, historical simulation approach alone is straight forward method that uses past data to generate future values without assuming any distribution for the underlying returns. The requirement of intensive computational effort in case of historical simulation hinders it’s usage for applying to real time VaR calculation. In this work we propose a methodology that doesn’t forego the benefits of historical simulation approach but can be applied to calculate market risk VaR in real time. The VaR calculated using the proposed methodology converges as the range of the portfolio returns is increased. The proposed methodology is also superior to the historical simulation approach in terms of usage of the computational resources and applicability to real time without sacrificing accuracy obtained using historical simulation approach.

Keywords

Portfolio Assessment, Risk Assessment, Risk Assessment through Simulation, Share Market, Value-at-Risk.

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Sastry K. R. Jammalamadaka ¹, K. V. N. M. Ramesh ², J. V. R. Murthy ²

Affiliations
1 Department of Electronics and Computer Engineering, KL University, Vaddeswaram, Guntur – 522502, Andhra Pradesh, IN
2 Jawaharlal Nehru Technological University, Kakinada - 533003, Andhra Pradesh, IN

Abstract

Background/Objectives: The main objective of this paper is to compute VaR (Value at risk) which requires minimal resources and the computing is done in real-time with utmost accuracy. Method/Statistical Analysis: The paper presents a methodology which helps in computing VaR in real time and with most accuracy. Very less computational resources are required from computing VaR. The VaR computing methodology proposed in this paper converges as the returns on the portfolio ranges increases. Findings: It has been presented in the paper that the number of valuations required for computing the VaR is dependent on the number of instruments added to the portfolio and is independent of the number of instruments already existing at the time computing VaR. The method proposed in this paper can be used for computing VaR in real time.

Keywords

Market Risk, Portfolio Instruments, Risk Assessment, Real-Time Market Risk Measurement, VaR

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Sastry K. R. Jammalamadaka ¹, K. V. N. M. Ramesh ², J. V. R. Murthy ²

Affiliations
1 Department of Electronics and Computer Engineering, Computer Science and Engineering, KL University, Vaddeswaram, Guntur District - 522502, Andhra Pradesh, IN
2 Jawaharlal Nehru Technological University, Kakinada - 533503, Andhra Pradesh, IN

Abstract

Background/Objectives: The main objective of this paper is to present a method that determines optimum collateral amount at which the risk of the venerable option is same as the exchange traded risk. Methods/Statistical Analysis: Mathematical models have been presented in this paper that is related to binomial tree building, Venerable option pricing. An algorithm has also been presented to calculate minimum collateral amount. Experimental models demonstrate the Convergence of Collateral amount and Sensitivity of Vulnerable Option Price to Model Parameters, and Correctness of the optimum collateral amount. Findings: A methodology has been presented in this paper that can be used to compute maximum collateral amount that must be supported by the writer of the option at which the venerable option becomes as risky as the exchange traded risk. This methodology can also be sued when the option writers chooses a fixed collateral amount when the underlying price is greater than the fixed price. A navel binomial decision has been developed and presented considering no assumption of the underlying distribution. It has been found that the price of an option with credit risk converges to exchange traded option as the collateral amount reaches a certain optimal value. The option writer in this can case can use the excess collateral amount for some other purpose. It has also been found that rules that are related to plain vanilla option need not be followed for calculating venerable option.

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