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"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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"If you lead me astray, then my wanderings will bring me to my destination."

"Look ahead, because life is before you, not behind you, or else you stumble!"

"Aimless life leads to depression."

"In order to answer the question "Where am I going?" you must possess decisiveness."

"The knowledge of "Where am I going?" sometimes depends on the faithfulness in little things."

"We must be focused on the goal that God has revealed to us."
Explore more quotes by John Hull

"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."

"We concluded that you cannot rely on delta hedging alone. It sounds simplistic to say that now, but back then, this was the sort of thing people were only just beginning to realize."

"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."

"If each of your time steps is one week long, you are not modeling the stock price terribly well over a one-week time period, because you are saying that there are only two possible outcomes."

"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."

"Briefly speaking, our conclusion is that stochastic volatility does not make a huge difference as far as the pricing is concerned if you get the average volatility right. It makes a big difference as far as hedging is concerned."

"Our starting point then was trying to find a way to incorporate mean reversion into the HoLee model."

"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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