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A Data Driven Approach to Calculate Optimum Collateral Amount for Vulnerable Option
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.
- Hui CH, Lo CF, KuK C. Pricing vulnerable European options with stochastic default barriers. IMA Journal of Management Mathematics. 2007; 18(4):315-29.
- Hull J, White A. The Impact of default risk on the prices of options and other derivative securities. J Banking Finance. 1995; 19(1):299-322.
- Jarrow RA. Turnbull SM. Pricing derivatives on financial securities subject to credit risk. Journal of Finance. 1995; 50:53-86.
- Johnson H, Stulz R. The pricing of options with default risk. J Finance. 1987; 42:267-80.
- Klein P. Pricing Black-Scholes options with correlated credit risk. J Banking Finance. 1996; 20:1211-1129.
- Ramesh KVNM, Murthy JVR, Sastry JKR. Incorporating implied volatility in pricing options using implied binomial tree. 2nd IIMA International Conference on Advanced Data Analysis, Business Analytics and Intelligence; 2011.
- Cox JC, Ross SA, Rubinstein M. Option pricing: A simplified approach. Journal of Finance and Economics. 1979; 7:229-63.
- Black F, Scholes M. The pricing of options and corporate liabilities. Journal of Political Economy. 1973; 81:637-54.
- Merton RC. On the pricing of corporate debt: The risk structure of interest rates. Journal of Finance. 1974; 2:449-70.
- Merton RC. On pricing of contingent claim sand the Modigliani-Miller theorem. Journal of Financial Economics. 1977; 241-9.
- Black F, Cox J. Valuing corporate securities: Some effects of bond indenture provisions. Journal of Finance. 1976; 31:351-67.
- Ho T, Singer R. Bond indenture provisions and the risk of corporate debt. Journal of Financial Economics. 1982; 10:375-406.
- Chance D. Default risk and the duration of Zero coupon bonds. Journal of Finance. 1990; 45:265-74.
- Kim J, Ramaswamy K, Sundaresan S. Does default risk in coupons affect the valuation of corporate bonds? A contingent claims model. Journal of Financial Management. 1993: 117-31.
- Park SY, Chon ML. Do stock options influence CSR activity? Indian Journal of Science and Technology. 2015 Aug; 8(18). doi no:10.17485/ijst/2015/v8i18/77578
- Choi YM. The effect of XBRL Adoption on trading behaviors of foreign investors: Evidence from Korea. Indian Journal of Science and Technology. 2015 Sep; 8(21). doi no:10.17485/ijst/2015/v8i21/78378.
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