We propose different schemes for option hedging when asset returns are modeled using a general class of GARCH models … probability measure in this setting, we construct local risk minimization hedging strategies with respect to a pricing kernel … schemes. We also test the sensitivity of the hedging strategies with respect to the risk neutral measure used by recomputing …

incomplete market with stochastic volatility that is not perfectly hedgeable. By combining standard asymptotic expansion … technique for the underlying volatility process, we derive explicit expression for the solution of the FBSDE up to the third … order of volatility-of-volatility, which can be directly translated into the optimal investment strategy. We compare our …

We introduce a new method to price American-style options on underlying investments governed by stochastic volatility … (SV) models. The method does not require the volatility process to be observed. Instead, it exploits the fact that the … distributions of volatility, given observed data. By constructing statistics summarizing information about these conditional …

strongly suggests that there in reality are no tangible welfare gains associated with hedging stochastic volatility …From an empirical perspective, the stochasticity of volatility is manifest, yet there have been relatively few attempts …. Under the assumption that the market price of risk is proportional to volatility, we can derive closed form expressions for …

) Markovian setup. In particular we analyse the hedging performance of the original architecture under rough volatility models …We investigate the performance of the Deep Hedging framework under training paths beyond the (finite dimensional … architectures capable of capturing the non-Markoviantity of time-series. Secondly, we analyse the hedging behaviour in these models …

which succeeds with high probability. -- Hedging ; superhedging ; Neyman Pearson lemma ; stochastic volatility ; value at … study the question what an investor can do who is unwilling to spend that much, and who is ready to use a hedging strategy …

This paper investigates the use of the asymptotic Heston solution in locally risk minimizing hedging. The asymptotic …

minimizes the cost of hedging a path dependent contingent claim with given expected success ratio, in a discrete-time, semi …-static market of stocks and options. Based on duality results which link quantile hedging to a randomized composite hypothesis test … measure, which guarantees the existence of the optimal hedging strategy and enables numerical calculation of the quantile …

frequent convert between cryptocurrency and fiat currency. However, research on fair pricing and hedging for the inverse BTC … option still needs to be completed. In this paper, we conduct dynamic hedging of the inverse BTC options under the Black …-Scholes model and the Heston stochastic volatility (SV) model. In addition, we provide novel formulae of Delta, Gamma, and Vega …

Numerous empirical proofs indicate the adequacy of the time discrete auto-regressive stochastic volatility models … introduced by Taylor in the dynamical description of the log-returns of financial assets. The pricing and hedging of contingent … corresponding market and the non-observability of the associated volatility process. In this paper we introduce new pricing kernels …