Financial Methods: A Quantitative Approach

Giandomenico, Rossano (2015): Financial Methods: A Quantitative Approach.

Abstract

The study analyses finite difference methods and stochastic volatility for option pricing model till Asian and Barrier options. Simulated result is presented with VBA code. The interest rate models is analyzed in arbitrage setting e simulated environment by using an affine term structure and the drift condition in combination with inflation model by measuring the liquidity and risk premium by presenting an efficient Monte Carlo simulator. Structural Model is presented in single time maturity and default barrier in first passage model. The intensity model is also faced by analyzing the liquidity and risk premium with copula approaches as well

• Item Type: MPRA Paper
• Language: English
• Keywords: Contingent Claim, Interest Rate Models, Credit Risk Models
• Subjects: C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General; C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C15 - Statistical Simulation Methods: General

References

Alexander, C. (2008) : Pricing, Hedging and Trading Financial Instruments, John Wiley & Sons

Bjork, T. (1999): Arbitrage Theory in Continuous Time, Oxford University Press

Black, F. , Scholes, M. (1973) : The Pricing of Options and Corporate Liabilities, Journal of Political Economy

Brennan, M. , Schwartz, E. (1977) : The Valuation of American Put Options, Journal of Finance

Brigo, D.,Mercurio, F. (2006) : Interest Rate Model, Springer Finance

Brigo, D. , Morini, M. , Pallavicini, A. (2013) : Counterparty, Credit Risk, Collateral and Funding, John Wiley & Sons

Briys, E. , Bellah, M. , Mai, H.M. , De Varenne, F. (1998) : Options, Futures and Exotic Derivatives, John Wiley & Sons

Cox, J.C. , Ingersoll, J.E. , Ross, S.A. (1985) : A Theory of the Term Structure of Interest Rates, Econometrica

Cox, J.C. , Ross, S. A. , Rubinstein, M. (1979) : Option Pricing a Simplified Approach, Journal of Financial Economics Heston, S.L., (1993) : A closed-form solution for options with stochastic volatility with applications to bond and currency options, Review of Financial Studies

Heath, D., Jarrow, R., Morton. A. (1992) : Bond Pricing and the Term Structure of Interest Rates: a New Methodology for Contingent Claims Valuation, Econometrica

Hull, J. , White, A. (1996) : Hull-White on Derivatives, Risk Books

Vasicek, O. (1977) : An Equilibrium Characterization of the Term Structure, Journal of Financial Economics