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4、Which of the following is a condition needed in order for the binomial tree to approach the Black-Scholes model?

A) Stock prices change in a discrete manner.
 
B) Volatility changes stochastically over the life of the option.
 
C) Interest rates change stochastically over the life of the option.
 
D) The time intervals approach zero.

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 The  correct  answer is D


As the length of the time intervals approaches zero, the binomial model converges to the continuous-time Black-Scholes model.

 

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