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Stochastic Volatility with Student’s-t Error Distribution 70

Stochastic Volatility Model with Leverage and Asymmetrically Heavy-Tailed Error Using GH Skew Student?s t-Distribution

Stochastic Volatility Model with Leverage and Asymmetrically Heavy-Tailed Error Using GH Skew Student?s t-Distribution

... Student’s t-error distribution to assess the asymmetrically heavy- tailed distributions of stock ...Student’s t-distribution, where the mixing distribution is the inverse gamma ...

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"Stochastic Volatility Model with Leverage and Asymmetrically Heavy-Tailed Error Using GH Skew Student's t-Distribution Models"

"Stochastic Volatility Model with Leverage and Asymmetrically Heavy-Tailed Error Using GH Skew Student's t-Distribution Models"

... for S&P500 data ...Student’s t-error distribution to assess the asymmetrically heavy- tailed distributions of stock ...Student’s t-distribution, where the mixing ...

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How To Model Implied Volatility From Options, Implied Volatility, And The Student T Distribution

How To Model Implied Volatility From Options, Implied Volatility, And The Student T Distribution

... risk-neutral distribution function from European-style ...the Student-t distribution, whose main advantage is that its shape depends on only four parameters, of which two directly control for ...

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Bayesian Nonparametric Modelling of the Return Distribution with Stochastic Volatility

Bayesian Nonparametric Modelling of the Return Distribution with Stochastic Volatility

... Return Distribution with Stochastic Volatility Eleni-Ioanna Delatola ∗ and Jim ...return distribution in a stochastic volatility ...The distribution of the logarithm of ...

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Stochastic volatility

Stochastic volatility

... the s t process governs or “mixes” the scale of the distribution across the ...If s t is constant, this is simply an ...return volatility and trading volume. Therefore, s ...

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"Multivariate stochastic volatility"

"Multivariate stochastic volatility"

... Q t+1 |ν, S t ∼ IW p (ν, S t ), S t = 1 ν Q −d/2 t AQ −d/2 t , where ν and S t are the degrees of freedom and the time-dependent scale ...

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Nonparametric Stochastic Volatility

Nonparametric Stochastic Volatility

... ne stochastic volatility models with Gaussian jumps in returns and exponential jumps in variance is the nonlinear shape of the variance’s di¤usion ...jump distribution) appear to be more easily ...

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Modeling and forecasting exchange rate volatility in Bangladesh using GARCH models: a comparison based on normal and Student’s t-error distribution

Modeling and forecasting exchange rate volatility in Bangladesh using GARCH models: a comparison based on normal and Student’s t-error distribution

... rate volatility will have a significant effect on trade and remittance, and consequently on the whole ...rate volatility. This study aimed to model the volatility of the taka–US dollar exchange rate ...

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Consistent estimation of the Value at Risk when the error distribution of the volatility model is misspecified

Consistent estimation of the Value at Risk when the error distribution of the volatility model is misspecified

... by the α-quantile of η t ∗ = ǫ tt (θ ∗ ). This shows that the natural two-step method leads to a consistent estimation of the VaR, even the instrumental density h does not coincide with P η . The ...

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Estimating Option Prices with Heston s Stochastic Volatility Model

Estimating Option Prices with Heston s Stochastic Volatility Model

... asset’s volatility as a stochastic ...Root-mean-square error calculations find that the Heston model provides more accurate option pricing estimates than the Black-Scholes model for our data ...

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A Threshold Stochastic Volatility Model with Realized Volatility

A Threshold Stochastic Volatility Model with Realized Volatility

... Some standard measures, such as mean, bias and root of mean squared error (RMSE), are constructed for Monte Carlo evaluations. In general, for all four experiments (1-4) the means of the estimates are very close ...

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Consistent nonparametric specification tests for stochastic volatility models based on the return distribution

Consistent nonparametric specification tests for stochastic volatility models based on the return distribution

... of stochastic differential equations imply that when M → ∞, h M → 0 and m → ∞, q ∗ (x; ˆ θ) → q(x; ˆ θ) pointwise in x ∈ R ...approximation error arbitrarily ...

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Consistent nonparametric specification tests for stochastic volatility models based on the return distribution

Consistent nonparametric specification tests for stochastic volatility models based on the return distribution

... the distribution function of the return data, we first give a plot of the empirical density function estimated and all the model implied return densities in Figure ...

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Option hedging with stochastic volatility

Option hedging with stochastic volatility

... the stochastic behavior of volatilities for option hedging ...the distribution of discrete rebalanced delta hedge cost in the Black and Scholes ...simple stochastic volatility ...

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Periodic autoregressive stochastic volatility

Periodic autoregressive stochastic volatility

... AR-SV S model. The …rst one is a QM L method based on prediction-error decomposition of a corresponding linear periodic state-space ...and error prediction variances is used as a Benchmark to the ...

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Option Pricing with Stochastic Volatility

Option Pricing with Stochastic Volatility

... Claim, Stochastic Volatility, Ito’s Lemma, Cauchy problem, Bivariate ...the volatility of a small particle suspended in a liquid increased with the ...of stochastic volatility may be ...

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Hedging with Stochastic and Local Volatility

Hedging with Stochastic and Local Volatility

... V.4 Performance Criteria and Results Table 1 reports for each model the sample statistics of the aggregate daily P&L, over all options and over all days in the hedging period. In each part of the table the models are ...

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Periodic autoregressive stochastic volatility

Periodic autoregressive stochastic volatility

... model stochastic periodicity in the volatility through a model that generalizes the standard SV equation so that the parameters vary periodically over ...autoregressive stochastic volatility ...

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On Leverage in a Stochastic Volatility Model

On Leverage in a Stochastic Volatility Model

... An important and well documented empirical feature in many financial time series is the financial leverage effect (Black, 1976, Christie, 1982, and Engle and Ng, 1993). When such an asymmetric feature is not permitted in ...

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Multivariate Stochastic Volatility: A Review

Multivariate Stochastic Volatility: A Review

... Although standard diagnostic check methods for specification are based on the residuals, since MSV models involve the latent variables, it is not obvious how to retrieve the residuals. Following Kim et al. (1998), Pitt ...

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