Questions tagged [asymptotics]
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2 questions with no upvoted or accepted answers
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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 + \...
1
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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 ...