Week 8 Quiz Help Center

Learn more

Warning: The hard deadline has passed. You can attempt it, but you will not get credit for it. You are welcome to try it as a learning exercise.

Quiz 8: There is one question for each of the 10 topics from week 8. The time limit is 1 hour and you only get one try so make sure you have your notes and the week 8 slides handy. Good luck!

Question 1

Suppose f(0.25)=−0.014 and f(0.26)=0.089. Use linear interpolation to compute σimplied so that f(σimplied)≈0. Express your answer to exactly 4 decimal places.
Help

Question 2

The implied volatility problem is to find σimplied so that f(σimplied)=0. Suggest a stopping condition other than the width of the interval [a,b] and explain your reasoning.

Question 3

Which of the following Newton schemes is the most appropriate for finding the value of x such that ex=4?

Question 4

The Newton iteration for a function of several variables is

xk+1=xk−[DF(xk)]−1F(xk).

True or false: the inverse of the matrix DF(xk) must be computed in order to compute xk+1.
    
You cannot submit your work until you agree to the Honor Code. Thanks!