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"Alan White and I spent the next two or three years working together on this. We developed what is known a stochastic volatility model. This is a model where the volatility as well as the underlying asset price moves around in an unpredictable way."
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Explore more quotes by John Hull
"Our starting point then was trying to find a way to incorporate mean reversion into the HoLee model."
"Yes, our tree has an interesting shape. The center branches reflect the shape of the zero curve. When extreme parts of the tree are reached the branching pattern changes to accommodate the mean reversion."
"We started giving presentations at practitioner conferences in 1986, and since then all of our derivatives research has been stimulated by contact with practitioners."
"The problem with interest rates are that you are not modeling a single number, you are modeling a whole term structure, so it is a sort of different type of problem."
"There are challenges in terms of the measurement of VAR for what are known as nonlinear derivatives, where things like gamma and vega are important dimensions of the risk."
"Our research led on to other things, such as the fact that exchange rates are not lognormally distributed."
"One important measurement issue concerns the fat tails problem that I mentioned earlier. VAR is concerned with extreme outcomes. If the tails of the probability distributions we are using are too thin, our VAR measures are likely to be too low."
"The real challenge was to model all the interest rates simultaneously, so you could value something that depended not only on the three-month interest rate, but on other interest rates as well."
"When interest rates are high you want the average direction in which interest rates are moving to be downward; when interest rates are low you want the average direction to be upward."
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