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arXiv · 1210.0570

A Stochastic Delay Model For Pricing Debt And Loan Guarantees: Theoretical Results

Elisabeth Kemajou·Salah-Eldin Mohammed·Antoine Tambue
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Abstract

We consider that the price of a firm follows a non linear stochastic delay differential equation. We also assume that any claim value whose value depends on firm value and time follows a non linear stochastic delay differential equation. Using self-financed strategy and replication we are able to derive a Random Partial Differential Equation (RPDE) satisfied by any corporate claim whose value is a function of firm value and time. Under specific final and boundary conditions, we solve the RPDE for the debt value and loan guarantees within a single period and homogeneous class of debt.

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Elisabeth Kemajou, Salah-Eldin Mohammed, Antoine Tambue. 2012-10-01. A Stochastic Delay Model For Pricing Debt And Loan Guarantees: Theoretical Results. https://arxiv.org/abs/1210.0570

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