Pricing in stochastic-local volatility models with default

In recent years is becoming increasingly important to handle credit risk. Credit risk is the risk associated with the possibility of bankruptcy. More precisely, if a derivative provides for a payment at cert time T but before that time the counterparty defaults, at maturity the payment cannot be effectively performed, so the owner of the contract loses it entirely or a part of it. It means that the payoff of the derivative, and consequently its price, depends on the underlying of the basic derivative and on the risk of bankruptcy of the counterparty. To value and to hedge credit risk in a consistent way, one needs to develop a quantitative model. We have studied analytical approximation formulas and numerical methods such as Monte Carlo method in order to calculate the price of a bond. We have illustrated how to obtain fast and accurate pricing approximations by expanding the drift and diffusion as a Taylor series and we have compared the second and third order approximation of the Bond and Call price with an accurate Monte Carlo simulation. We have analysed JDCEV model with constant or stochastic interest rate. We have provided numerical examples that illustrate the effectiveness and versatility of our methods. We have used Wolfram Mathematica and Matlab.

Il Pricing come fattore competitivo nel mercato dei beni durevoli

L'elaborato tratta delle dinamiche del pricing, analizzando nello specifico al contrapposizione fra Prezzo e Valore per il Cliente, entrando nello specifico delle metodologie per la determinazione degli stessi per poi introdurre alcune delle più comuni politiche di prezzo attuate dalle aziende. Si descrive dunque il mercato degli elettrodomestici bianchi, evidenziando come il Prezzo sia una variabile determinante in questo mercato ormai in fase di saturazione. Infine si fa un analisi di "The Business Game" analizzando la condotta del team irajoya e come il Prezzo sia stato essenziale per il successo della squadra nel mercato simulato.