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In this paper we develop a one-factor non-affine stochastic volatility option pricing model where the dynamics of the underlying is endogenously determined from micro-foundations. The interaction and herding of the agents trading the underlying asset induce an amplification of the volatility of...
Persistent link: https://www.econbiz.de/10011507732
We study discretizations of polynomial processes using finite state Markov processes satisfying suitable moment matching conditions. The states of these Markov processes together with their transition probabilities can be interpreted as Markov cubature rules. The polynomial property allows us to...
Persistent link: https://www.econbiz.de/10011626304
A P-sigma-martingale density for a given stochastic process S is a local P-martingale Z0 starting at 1 such that the product ZS is a P-sigma-martingale. Existence of a P-sigma-martingale density is equivalent to a classic absence-of-arbitrage property of S, and it is invariant if we replace the...
Persistent link: https://www.econbiz.de/10011296922
We establish the existence and characterization of a primal and a dual facelift - discontinuity of the value function at the terminal time - for utility maximization in incomplete semimartingale-driven financial markets. Unlike in the lower- and upper-hedging problems, and somewhat unexpectedly,...
Persistent link: https://www.econbiz.de/10010442910
The present article studies geometric step options in exponential Lévy markets. Our contribution is manifold and extends several aspects of the geometric step option pricing literature. First, we provide symmetry and parity relations and derive various characterizations for both European-type...
Persistent link: https://www.econbiz.de/10012181323
The forward-looking nature of option market data allows one to derive economically-based and model-free risk measures … classical risk measures for the S&P500 Index. Delivering good results both at short and long time horizons, the proposed option …-implied risk metrics emerge as a convenient alternative to the existing risk measures …
Persistent link: https://www.econbiz.de/10011899623
Persistent link: https://www.econbiz.de/10011619773
The present article deals with intra-horizon risk in models with jumps. Our general understanding of intra-horizon risk … quantifying market risk by strictly relying on point-in-time measures cannot be deemed a satisfactory approach in general. Instead …, we argue that complementing this approach by studying measures of risk that capture the magnitude of losses potentially …
Persistent link: https://www.econbiz.de/10012179511
This paper analyzes the expected life-time utility and the hedging demands in an exchange only, representative agent general equilibrium under incomplete information. We derive an expression for the investor's expected life-time utility, and analyze his hedging demands for intertemporal changes...
Persistent link: https://www.econbiz.de/10003394292
Replicating portfolios have recently emerged as an important tool in the life insurance industry, used for the valuation of companies' liabilities. This paper presents a replicating portfolio (RP) model for approximating life insurance liabilities as closely as possible. We minimize the L1 error...
Persistent link: https://www.econbiz.de/10011515725