SALAM CONTRACT WITH CREDIT RISK MODEL BY PARTIAL DIFFERENTIAL EQUATION APPROACH

Authors

  • Azie Farhani Badrol Hisham Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam, Selangor, Malaysia
  • Maheran Mohd Jaffar Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam, Selangor, Malaysia

DOI:

https://doi.org/10.11113/.v78.7295

Keywords:

Salam, commodity salam, partial differential equation, credit risk, Islamic derivative

Abstract

In the acute phase of global financial crisis, the risk management issue has become a major subject that attracts the interest of many financial institutions. Risk management in Islamic finance is proven to be more challenging than the conventional due to shariah principals and regulations. Therefore, there is a need for an alternative Islamic derivative product that can compete with the existing conventional derivatives. This study proposes a traditional Islamic contract, which is salam, that can be built as a new Islamic derivative product. Since there is lack of quantitative study regarding salam contract implementation, this study introduces a mathematical model of commodity salam contract by considering credit risk element. The structural approach is the best credit risk model to describe the structure and properties of salam contract. However, because of the unique structure and boundary condition of salam contract, some adjustments need to be considered. In deriving the partial differential equation that describes the dynamic behaviour of commodity salam contract with credit risk, the risk neutral valuation was employed.

Author Biographies

  • Azie Farhani Badrol Hisham, Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam, Selangor, Malaysia

    Department of Mathematics

    Faculty of Computer and Mathematical Sciences

  • Maheran Mohd Jaffar, Department of Mathematics, Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam, Selangor, Malaysia

    Senior Lecturer (Assoc. Prof. Dr. )

    Department of Mathematics

    Faculty of Computer and Mathematical Sciences

     

References

Khan, M. F. 1995. Islamic Futures and Their Markets: With Special Reference to their Role in Developing Rural Financial Market. No. 32. Jeddah: Islamic Research and Training Institute, Islamic Development Bank.

ÄŒihak, M., and Hesse, H. 2010. Islamic Banks and Financial Stability: An Empirical Analysis. Journal of Financial Services Research. 38(2-3): 95-113.

Hisham, A. F. B., and Jaffar, M. M. 2014. A Review on Mathematical Methods of Conventional and Islamic Derivatives. International Conference on Quantitative Sciences and Its Applications (ICOQSIA 2014). Proceedings of the 3rd International Conference on Quantitative Sciences and Its Applications. 1635: 308-315.

Billah, M. M. S. 1997. Caveat Emptor Versus Khiyar Al-Ayb. The American Journal of Islamic Social Sciences. 14(2): 208-230.

Bacha, O. I. 1999. Derivative Instruments and Islamic Finance: Some Thoughts for a Consideration. International Journal of Islamic Financial Services. 1(1): 1-33.

Bacha, O. I. 2013. Risk Management, Derivatives and Syariah Compliance. Proceeding of the 20th National Symposium on Mathematical Sciences: A Catalyst for Creativity and Innovation. 1522(1): 17-28.

Syariah Advisory Council (SAC) in 11th Meeting on 26 November 1997. 2007. Resolutions of the Securities Commission Shariah Advisory Council. 2nd ed. Kuala Lumpur: Securities Commission. 26-38

Khalaf Al - Taani. 2013. Challenges Facing Financial Engineering with Islamic Rules. International Journal of Economics, Finance and Management Sciences. 1(5): 234-240. doi: 10.11648/j.ijefm.20130105.14

Global Islamic Finance Report (GIFR), edited by H. Dar and T. A. Azami. 2013. London: Edbiz Consulting Limited. 131-145.

Vogel, E. F., and Hayes, S. L. 1998. Islamic Law and Finance: Religion, Risk, and Return. The Hague: K. Luwer Law International.

El-Gamal, M. A. 2006. Islamic Finance: Law, Economics, And Practice. New York: Cambridge University Press.

Shari'a Standards for Islamic Financial Institutions 1432H-2010. 2004. Bahrain: Accounting and Auditing Organization for Islamic Financial Institutions.

Yaksick, R. 1999. The Islamic Commodity Trust with Application to Crude Oil Forwards Sales. Proceedings of the Third Harvard University Forum on Islamic Finance: Research in Mathematical Sciences: Local Challenges, Global Opportunities. IFP Publishing. 213-229.

Wilmott, P. 2007. Paul Wilmott Introduces Quantitative Finance. England: John Wiley & Sons.

Bacha, O. I. 2012. Financial Derivatives: Markets and Applications in Malaysia. 3rd ed. Shah Alam: McGraw Hill. 35-37

Cuthbertson K., and Nitzsche, D. 2001. Financial Engineering: Derivatives and Risk Management. United Kingdom: John Wiley.

Ebrahim, M. S., and Rahman, S. 2005. On The Pareto-Optimality of Futures Contracts Over Islamic Forward Contracts: Implications For The Emerging Muslim Economies. Journal of Economic behaviour and Organization. 56(2): 273-295.

Dali, N. R. S. M., and Ahmad, S. 2005. A Review of Forward, Futures, and Options From The Shariah Perspective. From Complexity to Simplicity. Conference on Seminar Ekonomi & Kewangan Islam. 29-30.

Susanti, D. O. 2010. Pelaksanaan Perjanjian Pembiayaan Murabahah Dengan Sistem Bai'u Salam (Studi Pada PT. BPRS Daya Artha Mentari Bangil-Pasuruan). [12] Risalah Hukum: Jurnal Hukum. 6(2).

Putri, M. A., and Dewi, M. K. 2011. Developing Salam-based Financing Product: Indonesian Islamic Rural Bank. Business and Management Quarterly Review. 2(4): 103-112.

Muneeza, A., Nurul Atiqah Nik Yusuf, N., and Hassan, R. 2011. The Possibility of Application of Salam in Malaysian Islamic Banking System. Humanomics. 27(2): 138-147.

Brennan M. J., and Schwartz E. S. 1985. Evaluating Natural Resource Investments. Journal of Business. 58: 135-157.

Chow, Y. F., McAleer, M., and Sequeira, J. 2000. Pricing of Forward and Futures Contracts. Journal of Economic Surveys. 14(2): 215-253.

Banks, E. 2006. Synthetic and Structured Assets. New Jersey: John Wiley & Sons.

Kaldor, N. 1939. Speculation and Economic Stability. The Review of Economic Studies. 7(1): 1-27.

Working, H. 1948. Theory of the Inverse Carrying Charge in Futures Markets. Journal of Farm Economics. 30(1): 1-28.

Working, H. 1949. The Theory of Price of Storage. The American Economic Review. 1254-1262.

Ramaswamy, K., and Sundaresan, S. M. 1985. The Valuation of Options on Futures Contracts. The Journal of Finance. 40(5): 1319-1340.

Li, W. H. 2006. Index Future Pricing Under Imperfect Market and Stochastic Volatility. Doctoral dissertation, Faculty of the Louisiana State University and Agricultural and Mechanical College in partial fulfillment of the requirements for the degree of Master of Science in The Department of Mathematics by Wei-Hsien Li BBA, National Taiwan University.

Hsu, H., and Wang, J. 2004. Price Expectation and the Pricing of Stock Index Futures. Review of Quantitative Finance and Accounting. 23(2): 167-184.

Brennan, M. J., & Schwartz, E. S. 1979. A Continuous Time Approach to the Pricing of Bonds. Journal of Banking and Finance. 3: 133-155.

Gibson, R., and Schwartz, E. S. 1990. Stochastic Convenience Yield and the Pricing of Oil Contingent Claims. The Journal of Finance. 45(3): 959-976.

Liang, G., and Ren, X. 2007. The Credit Risk and Pricing of OTC Options. Asia-pacific Financial Markets. 14(1): 45-68.

Merton, R. C. 1974. On The Pricing of Corporate Debt: The Risk Structure of Interest Rates. The Journal of Finance. 29(2): 449-470.

Black, F., and Cox, J. C. 1976. Valuing Corporate Securities: Some Effects of Bond Indenture Provisions. The Journal of Finance. 31(2): 351-367.

Johnson, H., and Stulz, R. 1987. The Pricing of Options with Default Risk. The Journal of Finance. 42(2): 267-280.

Klein, P. 1996. Pricing Black-Scholes Options with Correlated Credit Risk. Journal of Banking and Finance. 20(7): 1211-1229.

Klein, P., and Inglis, M. 1999. Valuation of European Options Subject to Financial Distress and Interest Rate Risk. The Journal of Derivatives. 6(3): 44-56.

Klein, P., and Inglis, M. 2001. Pricing Vulnerable European Options When The Option’s Payoff Can Increase The Risk of Financial Distress. Journal of banking and finance. 25(5): 993-1012.

Conroy, R. M. 2003. Forward and Futures. United States: Darden School Foundation. University of Virginia.

Black, F., and Scholes, M. 1973. The Pricing of Options and Corporate Liabilities. The Journal of Political Economy. 637-654.

Cox, J. C., and Ross, S. A. 1976. The Valuation of Options for Alternative Stochastic Processes. Journal of Financial Economics. 3(1): 145-166.

Hilliard, J. E., and Reis, J. 1998. Valuation of Commodity Futures and Options under Stochastic Convenience Yields, Interest Rates, and Jump Diffusions in The Spot. Journal of Financial and Quantitative Analysis. 33(1): 61-86.

Bjerksund, P. 1991. Contingent Claims Evaluation When The Convenience Yield is Stochastic: Analytical Results. Institutt for Foretaksøkonomi. Institute of Finance and Management Science.

Hosseini, M. 2007. Stochastic modelling of Oil Futures Prices. Master Thesis. Department of Mathematics, Uppsala University.

Sengupta, A. 2005. Pricing Derivatives: The Financial Concepts Underlying the Mathematics of Pricing Derivatives. New York: McGraw-Hill.

Tassis, D. and Skiadopoulos, G. 2013. Pricing of Commodities Futures: An Empirical Study. Master Thesis. University of Piraeus.

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Published

2016-10-31

Issue

Section

Science and Engineering

How to Cite

SALAM CONTRACT WITH CREDIT RISK MODEL BY PARTIAL DIFFERENTIAL EQUATION APPROACH. (2016). Jurnal Teknologi, 78(11). https://doi.org/10.11113/.v78.7295