Showing 1 - 10 of 57,712
. We first characterize absence of arbitrage in terms of drift conditions for the forward implied volatilities …
Persistent link: https://www.econbiz.de/10005858725
We develop a discrete-time stochastic volatility option pricing model, which exploits the informationcontained in high-frequency data. The Realized Volatility (RV) is used as a proxy of the unobservablelog-returns volatility. We model its dynamics by a simple but effective long-memory process:...
Persistent link: https://www.econbiz.de/10009486857
The article describes a global and arbitrage-free parametrization of the eSSVI surfaces introduced by Hendriks and … suggested in this article is faster and always guarantees an arbitrage-free fit of market data …
Persistent link: https://www.econbiz.de/10013292792
We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the asset is driven by Brownian motion, an associated "master...
Persistent link: https://www.econbiz.de/10008922937
We propose a non-equidistant Q rate matrix formula and an adaptive numerical algorithm for a continuous time Markov chain to approximate jump-diffusions with affine or non-affine functional specifications. Our approach also accommodates state-dependent jump intensity and jump distribution, a...
Persistent link: https://www.econbiz.de/10009398859
This paper analyses the robustness of Least-Squares Monte Carlo, a technique recently proposed by Longstaff and Schwartz (2001) for pricing American options. This method is based on least-squares regressions in which the explanatory variables are certain polynomial functions. We analyze the...
Persistent link: https://www.econbiz.de/10005704899
. In such a model, we prove that the absence of arbitrage condition implies the existence of a discount rate and a …
Persistent link: https://www.econbiz.de/10010707780
different interest rates for borrowing and lending. In the unconstrained case, the classical theory provides a single arbitrage …_{\rm up}]$ of arbitrage-free prices, with endpoints characterized as $h_{\rm low} = \inf_{\nu\in{\cal D}} u_\nu, h_{\rm up …} = \sup_{\nu\in{\cal D}} u_\nu$. Here $u_\nu$ is the analogue of $u_0$, the arbitrage-free price with unconstrained portfolios …
Persistent link: https://www.econbiz.de/10005390719
We fully characterize the absence of Butterfly arbitrage in the SVI formula for implied total variance proposed by … Gatheral in 2004. The main ingredient is an intermediary characterization of the necessary condition for no arbitrage obtained … straightforward implementation of a least-squares calibration algorithm on the no arbitrage domain, which yields an excellent fit on …
Persistent link: https://www.econbiz.de/10012834836
The no Butterfly arbitrage domain of Gatheral SVI 5-parameters formula for the volatility smile has been recently …
Persistent link: https://www.econbiz.de/10013221732