We investigate in this paper a perpetual prepayment option related to a corporate loan. The short interest rate and default intensity of the firm are supposed to follow CIR processes. A liquidity term that represents the funding costs of the bank is introduced and modeled as a continuous time...

This PhD thesis investigates the pricing of a corporate loan according to the credit risk, the liquidity cost and the embedded prepayment option. A loan contract issued by a bank for its corporate clients is a financial agreement that often comes with more flexibility than a retail loan...

We investigate the prepayment option related to a corporate loan. The default intensity of the firm is supposed to follow a Cox-Ingersoll-Ross (CIR) process and the short interest rate is assumed constant. A liquidity term that represents the funding costs of the bank is introduced and modeled...

We investigate in this paper a perpetual prepayment option related to a corporate loan. The default intensity of the rm is supposed to follow a CIR process. We assume the contractual margin of the loan is de ned by the credit quality of the borrower and the liquidity cost that re ects the...

We investigate in this paper a perpetual prepayment option related to a corporate loan. The short interest rate and default intensity of the firm are supposed to follow CIR processes. A liquidity term that represents the funding costs of the bank is introduced and modeled as a continuous time...

We investigate in this paper a perpetual prepayment option related to a corporate loan. The short interest rate and default intensity of the firm are supposed to follow CIR processes. A liquidity term that represents the funding costs of the bank is introduced and modeled as a continuous time...

We investigate in this paper a perpetual prepayment option related to a corporate loan.The default intensity of the firmis supposed to follow a CIR process. We assume that the contractual margin of the loan is defined by the credit quality of the borrower and the liquidity cost that reflects the...

We investigate in this paper the recovery of the local volatility surface in a parametric framework similar to that of Coleman, Li and Verma [4]. The quality of a surface is assessed through a functional which is optimized; the specificity of the approach is to separate the optimization on the...

We study in this work the liquidity, defined as the size of the trading volume, in a situation when an infinite number of agents with het- erogeneous beliefs reach a trade-off between cost of a precise estimation (variable depending on the agent) and expected profit from trading at the resulting...

Motivated by a mean field games stylized model for the choice of technologies (with externalities and economy of scale), we consider the associated optimization problem and prove an existence result. To complement the theoretical result, we introduce a monotonic algorithm to find the mean field...