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Paper detail

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

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.

preprint2012arXivOpen access
Elisabeth KemajouSalah-Eldin MohammedAntoine Tambue
q-fin.PR
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Elisabeth KemajouSalah-Eldin MohammedAntoine Tambue

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