"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."

Challenge, Interest, Value

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"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."

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Explore more quotes by John Hull

"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."

Direction

"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."

Years

"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."

Risk

"In the interest rate area, traders have for a long time used a version of what is known as Black's model for European bond options; another version of the same model for caps and floors; and yet another version of the same model for European swap options."

Time

"Our tree is actually a tree of the short-term interest rate. The average direction in which the short-term interest rate moves depends on the level of the rate. When the rate is very high, that direction is downward; when the rate is very low, it is upward."

Direction

"I guess any simple idea that is really good will catch on quickly."

Idea

"I think VAR is a very healthy development within the industry."

Development

"The HoLee model was the first term structure model. I remember reading their paper soon after it was published and as it was fairly different from many of the other papers that I had read, I had to read it quite a few times. I realized that it was a really important paper."

First

"Our research led on to other things, such as the fact that exchange rates are not lognormally distributed."

Fact

"We started giving presentations at practitioner conferences in 1986, and since then all of our derivatives research has been stimulated by contact with practitioners."

Giving