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We provide ready-to-use formulas for European options prices, risk sensitivities, and P&L calculations under Lévy-stable models with maximal negative asymmetry. Particular cases, efficiency testing, and some qualitative features of the model are also discussed.
Persistent link: https://www.econbiz.de/10012019316
We present a method for the arbitrage-free interpolation of plain-vanilla option prices and implied volatilities, which is based on a system of integral equations that relates terminal density and option prices. Using a discretization of the terminal density, we write these integral equations as...
Persistent link: https://www.econbiz.de/10014332042
Most of the models leading to an analytical expression for option prices are based on the assumption that underlying asset returns evolve according to a Brownian motion with drift. For some asset classes like commodities, a Brownian model does not fit empirical covariance and autocorrelation...
Persistent link: https://www.econbiz.de/10011890768
This paper presents a comprehensive extension of pricing two-dimensional derivatives depending on two barrier constraints. We assume randomness on the covariance matrix as a way of generalizing. We analyse common barrier derivatives, enabling us to study parameter uncertainty and the risk...
Persistent link: https://www.econbiz.de/10011556565
It is generally said that out-of-the-money call options are expensive and one can ask the question from which moneyness level this is the case. Expensive actually means that the price one pays for the option is more than the discounted average payoff one receives. If so, the option bears a...
Persistent link: https://www.econbiz.de/10012704022
Managing unemployment is one of the key issues in social policies. Unemployment insurance schemes are designed to cushion the financial and morale blow of loss of job but also to encourage the unemployed to seek new jobs more proactively due to the continuous reduction of benefit payments. In...
Persistent link: https://www.econbiz.de/10012126434
In this paper, we consider non-linear transformations of classical telegraph process. The main results consist of deriving a general partial differential Equation (PDE) for the probability density (pdf) of the transformed telegraph process, and then presenting the limiting PDE under Kac's...
Persistent link: https://www.econbiz.de/10012612392
as within its most common extensions (the jump-diffusion, the stochastic volatility and the stochastic interest rates …
Persistent link: https://www.econbiz.de/10012019000
This paper aims to develop optional semimartingale methods in risk theory to allow for a larger class of risk models. Optional semimartingales are left-continuous with right-limit stochastic processes defined on a probability space where the usual conditions - completeness and right-continuity...
Persistent link: https://www.econbiz.de/10015408385
based on the superior volatility forecast for analyzing historical data. We extend the current litearure by measuring the … volatility of an underlying asset in the last predefined period and comparing the actual volatility in currency with historical … volatility in currency to make predictions of implied volatility. We calculated stock price volatility through an optimal holding …
Persistent link: https://www.econbiz.de/10014637162