Find the two χ 2 -values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ 2 -curve with 11 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

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Answer 1

Question

Chapter 11.1, Problem 12E

a.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 11 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

b.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 28 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

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We consider the one-period model studied in class as an example. Namely, we assumethat the current stock price is S0 = 10. At time T, the stock has either moved up toSt = 12 (with probability p = 0.6) or down towards St = 8 (with probability 1−p = 0.4).We consider a call option on this stock with maturity T and strike price K = 10. Theinterest rate on the money market is zero.As in class, we assume that you, as a customer, are willing to buy the call option on100 shares of stock for $120. The investor, who sold you the option, can adopt one of thefollowing strategies: Strategy 1: (seen in class) Buy 50 shares of stock and borrow $380. Strategy 2: Buy 55 shares of stock and borrow $430. Strategy 3: Buy 60 shares of stock and borrow $480. Strategy 4: Buy 40 shares of stock and borrow $280.(a) For each of strategies 2-4, describe the value of the investor’s portfolio at time 0,and at time T for each possible movement of the stock.(b) For each of strategies 2-4, does the investor have…

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Answer 2

Question

Chapter 11.1, Problem 12E

a.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 11 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

b.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 28 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

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Answer 3

Question

Chapter 11.1, Problem 12E

a.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 11 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

b.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 28 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

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Answer 4

Question

Chapter 11.1, Problem 12E

a.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 11 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

b.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 28 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

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Answer 5

Chapter 11.1, Problem 12E

a.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 11 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

b.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 28 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

Answer 6

Chapter 11.1, Problem 12E

a.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 11 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

Answer 7

Chapter 11.1, Problem 12E

a.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 11 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

Answer 8

b.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 28 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

Answer 9

b.

To determine

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 28 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 11.1 - What is meant by saying that a variable has a...Ch. 11.1 - How are different chi-square distributions...Ch. 11.1 - Two 2-curves have degrees of freedom 12 and 20,...Ch. 11.1 - The t-table has entries for areas of 0.10, 0.05,...Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - In Exercises 11.511.2, use Table VII to find the...Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

Find the two χ 2 -values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ 2 -curve with 11 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

Solution Summary: The author illustrates a chi 2 -curve with 11 degrees of freedom using Table VII in Appendix A.

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Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 11 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

Find the two χ2-values that divide the area under the curve into a middle 0.90 area and two outside 0.05 areas for a χ2-curve with 28 degrees of freedom using Table VII in Appendix A and to illustrate it graphically.

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Chapter 11 Solutions