It is impossible to discriminate between the commonly used stochastic volatility models of Heston, log-normal, and 3-over-2 on the basis of exponentially weighted averages of daily returns-even though it appears so at first sight. However, with a 5-min sampling frequency, the models can be...

We investigate the state dependence of the variance of the instantaneous variance of the S&P 500 index empirically. Time-series analysis of realized variance over a 20-year period shows strong evidence of an elasticity of variance of the variance parameter close to that of a log-normal model,...

In this paper locally risk-minimizing hedge strategies for European-style contingent claims are derived and tested for a general class of stochastic volatility models. These strategies are as easy to implement as ordinary delta hedges, yet in realistic settings they produce markedly lower hedge...

The article investigates how sensitive different dynamic and static hedge strategies for barrier options are to model risk. It is found that using plain‐vanilla options to hedge offers considerable improvements over usual Δ hedges. Further, it is shown that the hedge portfolios involving...

When estimated volatilities are not in perfect agreement with reality, delta hedged option portfolios will incur a non-zero profit-and-loss over time. There is, however, a surprisingly simple formula for the resulting hedge error, which has been known since the late 90s. We call this The...

It is impossible to discriminate between the commonly used stochastic volatility models of Heston, log-normal, and 3-over-2 on the basis of exponentially weighted averages of daily returns—even though it appears so at first sight. However, with a 5-min sampling frequency, the models can be...

Since its announcement made on Sept. 6, 2011, the Swiss National Bank (SNB) has been pursuing the goal of a minimum EUR/CHF exchange rate of 1.20, promising to intervene on currency markets to prevent the exchange rate from falling below this level. We use a compound option pricing approach to...

We address some key issues related to risk and capital allocation in insurance companies. We argue that the Froot-Stein approach to risk is relevant to a number of important problems in the daily management of an insurance portfolio and that - taken to its consequence - this approach will lead...