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What is the relationship between the estimated GARCH(1,1) conditional volatility and the true conditional volatility

Suppose that the data has been generated by a GARCH(1,1) model, i.e. \begin{align} y_t &= h_t \epsilon_t, \; \epsilon_t \sim N(0,1) \\ h_t &= \alpha_0 + \alpha_1 \epsilon_{t-1}^2 + \...
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Forward price of dividend paying asset and IV skew asymptotics as $T\to\infty$

Assuming for simplicity deterministic interest rate and dividend yield, then the forward price of an asset is $$ F = Se^{(r-q)T} $$ where $T$ is maturity date. In studying IV skew asymptotics, the ...
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