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Proposal
Derive rigorous analytic upper/lower bounds for Quadratic Value-at-Risk of multi-asset portfolios.
Sharp bounded for distribution function of the quadratic form of GLD random vectors. Critique
Everything in finance computable by (straightforward or clever) MC, so why bother ?
Proposal Critique
Defense::
Defense: Computational speed
Theoretical insight: parameter dependence (portfolio loads, stress testing) effects of parameter uncertainty on statistical parameters
Checks on MC computations
Mathematically interesting problem
Usual P&L approximation:
Usual Pandamp;L approximation
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Sharp Rate of Convergence
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