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functions in closed-form, which help with pricing and risk measure calculations. In a numerical example, we demonstrate the … implied volatility surface (up to 100%) and on two risk measures: value at risk and expected shortfall where an increase of up …
Persistent link: https://www.econbiz.de/10012172988
This paper studies the effect of variance swap in hedging volatility risk under the mean-variance criterion. We … variance swap can be used to hedge against the volatility risk. In the second problem, only the bank account and the stock can … be traded in the market, which is incomplete since the idiosyncratic volatility risk is unhedgeable. Under an exponential …
Persistent link: https://www.econbiz.de/10012293125
We study an optimal liquidation problem with multiplicative price impact in which the trend of the asset's price is an unobservable Bernoulli random variable. The investor aims at selling over an infinite time-horizon a fixed amount of assets in order to maximize a net expected profit...
Persistent link: https://www.econbiz.de/10012880685
stochastic interest rates to obtain the risk-free price for unit-linked life insurance contracts, as well as providing a perfect …
Persistent link: https://www.econbiz.de/10012293269
Population events such as natural disasters, pandemics, extreme weather, and wars might cause jumps that have an immediate impact on mortality rates. The recent COVID-19 pandemic has demonstrated that these events should not be treated as nonrepetitive exogenous interventions. Therefore,...
Persistent link: https://www.econbiz.de/10014497417
, where the bequest amount is fixed, distinct outcomes emerge based on different levels of risk aversion parameter γ: (i) the …
Persistent link: https://www.econbiz.de/10014438021
The parametric estimation of stochastic differential equations (SDEs) has been the subject of intense studies already for several decades. The Heston model, for instance, is based on two coupled SDEs and is often used in financial mathematics for the dynamics of asset prices and their...
Persistent link: https://www.econbiz.de/10014362627
We present an approach for pricing American put options with a regime-switching volatility. Our method reveals that the option price can be expressed as the sum of two components: the price of a European put option and the premium associated with the early exercise privilege. Our analysis...
Persistent link: https://www.econbiz.de/10015054085
This paper evaluates the prices of European-style options when dynamics of the underlying asset is assumed to follow a Markov-switching Heston's stochastic volatility model. Under this framework, the expected return and the long-term mean of the variance of the underlying asset rely on states of...
Persistent link: https://www.econbiz.de/10013399717
The effects of stochastic volatility, jump clustering, and regime switching are considered when pricing variance swaps. This study established a two-stage procedure that simplifies the derivation by first isolating the regime switching from other stochastic sources. Based on this, a novel...
Persistent link: https://www.econbiz.de/10015361659