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In this paper, we investigate the feasibility of using low-discrepancy sequences to allow complex derivatives, such as mortgage-backed securities (MBSs) and exotic options, to be calculated considerably faster than is possible by using conventional Monte Carlo methods. In our experiments, we...
We present an algorithm for hedging option portfolios and custom-tailored derivative securities, which uses options to manage volatility risk. The algorithm uses a volatility band to model heteroskedasticity and a non- linear partial differential equation to evaluate worst-case volatility...
The modelling of default risk in debt securities involves making assumptions about the stochastic process driv- ing default, the process generating the write-down in default, and risk-free interest rates. Three generic approaches have been used. The first relies on modelling the value of the...
We present explicit formulae allowing us to price compound and exchange options in the framework of the affine term structure model. The various proposed options deal with discount bonds, coupon bonds and yields. A probabilistic approach is adopted in order to find closed-form pricing formulae....
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