Fathi Abid; Ons Triki; Asma Khadimallah
Abstract
This paper investigates the effects of contingent capital, a debt instrument that automatically converts into equity if the value of the asset is below a predetermined threshold on the pricing process of a bank assets’. A traceable form of the contingent convertible bond is analyzed to find a closed-form ...
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This paper investigates the effects of contingent capital, a debt instrument that automatically converts into equity if the value of the asset is below a predetermined threshold on the pricing process of a bank assets’. A traceable form of the contingent convertible bond is analyzed to find a closed-form solution for the price of this bond using barrier and growth options. We examine the interaction between growth options and financing policy in a dynamic business model. The contribution of this paper is to extend Hilscher and Raviv [10] and Tan and Yang [22] research to include the evaluation of all aspects of banks' financial structure, with an emphasis on explicitly calculating the likelihood of the default event. The fundamental theorem of asset pricing and the first passage of time method have been used to generate closed formulas that are amenable to practical analysis. The potential benefits from contingent capital as financing and risk management instrument can be assessed through their contribution to reducing the probability of default. The appropriate choice of contingent capital parameters, the rate, and the conversion threshold can reduce shareholders incentives to change risk.
Asma Khadimallah; Fathi Abid
Abstract
This paper has potential implications for the management of the bank. We examine a bank capital structure with contingent convertible debt to improve financial stability. This type of debt converts to equity when the bank is facing financial difficulties and a conversion trigger occurs. We use a leverage ...
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This paper has potential implications for the management of the bank. We examine a bank capital structure with contingent convertible debt to improve financial stability. This type of debt converts to equity when the bank is facing financial difficulties and a conversion trigger occurs. We use a leverage ratio, which is introduced in Basel III to trigger conversion instead of traditional capital ratios. We formulate an optimization problem for a bank to choose an asset allocation strategy to maximize the expected utility of the bank's asset value. Our study presents an application of stochastic optimal control theory to a banking portfolio choice problem. By applying a dynamic programming principle to derive the HJB equation, we define and solve the optimization problem in the power utility case.The numerical results show that the evolution of the optimal asset allocation strategy is really affected by the realization of the stochastic variables characterizing the economy. We carried out a sensitivity analysis of risk aversion, time and volatility. We also reveal that the optimal asset allocation strategy is relatively sensitive to risk aversion as well as that the allocation in CoCo and equity decreases as the investment horizon increases. Finally, sensitivity analysis highlights the importance of dynamic considerations in optimal asset allocation based on the stochastic characteristics of investment opportunities.
