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Scenario stress testing is a useful and increasingly popular approach to assess portfolio performance under different market conditions. In this paper we focus on how to incorporate stress scenario information directly in portfolio construction as additional constraints to control for potential...
Persistent link: https://www.econbiz.de/10013003025
formula holds for subordinated Brownian motion and, this representation is useful in developing simple and tractable hedging … strategies (the Greeks) in jump-type derivatives market as opposed to more complex jump models. …
Persistent link: https://www.econbiz.de/10011886622
We develop scenario-based stochastic programming models for hedging the risks of international portfolios using options … single-stage model with currency options for selective hedging of FX risks, while market risk is addressed only through … risk management. Simultaneous hedging of market and FX risks using stock and currency options yields the best ex …
Persistent link: https://www.econbiz.de/10012924570
We use Malliavin calculus and the Clark-Ocone formula to derive the hedging strategy of an arithmetic Asian Call option … motion, which allows us to express hedging strategy and price of the Asian option as an analytic, that is closed form …
Persistent link: https://www.econbiz.de/10013095807
We show that the option hedging risk of an optimal, continuously rebalanced hedging strategy in an exponential Lévy … additionally performed for some popular suboptimal hedging strategies, with the same conclusion …
Persistent link: https://www.econbiz.de/10013313919
In this paper we derive the locally risk-minimizing hedging for a general contingent claim in an incomplete market via … hedge obtained via PDE approach. We see these hedging strategies, under weak conditions, are the same as the ones generated … by the PDE approach. Within the same model we establish the pricing and the locally risk-minimizing hedging formulas for …
Persistent link: https://www.econbiz.de/10013134720
measured in terms of minimal variance and the associated optimal hedging portfolio is derived by a stochastic maximum principle …
Persistent link: https://www.econbiz.de/10013234161
To analyze the economic significance of pricing errors of stock index options, a system of linear inequalities is … developed which completely characterizes all risk arbitrage opportunities which arise if a well-behaved pricing kernel does not … exist. The Stochastic Arbitrage system can account for market imperfections in the form of transactions costs and general …
Persistent link: https://www.econbiz.de/10012899380
In this paper we discuss the Malliavin differentiability of a particular class of Feller diffusions which we call $\delta$-diffusions. This class is given by \begin{equation*} d\nu_t=\kappa(\theta-\nu_t))dt \eta \nu_t^{\delta}d\mathbb W_t^2, \delta\in[\frac{1}{2},1] \end{equation*} and appears...
Persistent link: https://www.econbiz.de/10013134575
Two of the most important areas in computational finance: Greeks and, respectively, calibration, are based on efficient and accurate computation of a large number of sensitivities. This paper gives an overview of adjoint and automatic differentiation (AD), also known as algorithmic...
Persistent link: https://www.econbiz.de/10013125827