Discount Factors 5.00% 6.00% 7.00% Period 1 0.95123 0.94176 0.93239 Period 2 0.90484 0.88692 0.86936 Period 3 0.86071 0.83527 0.81058 A: Construct a two-period binomial lattice for the stock index. B: Calculate the value of a European index call option with an exercise price of 60.00. C: the value of a European index put option with an exercise price of Calculate 60.00.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question
5.
A stock index is currently trading at 50.00. The annual index standard deviation is 20
percent. Paul Tripp, CFA, wants to value two-year index options using the binomial
model. To correctly value the options, he needs the formulas in Exhibit 1. The annual
risk-free interest rate is 6 percent. Assume no dividends are paid on any of the
underlying securities in the index.
Exhibit 1.
e-D
U = e = 1.2214
d==-
π₂
where e 1.06184
U-D
Where:
U = up movement factor
D = down movement factor
T = probability of an upward price movement
Transcribed Image Text:5. A stock index is currently trading at 50.00. The annual index standard deviation is 20 percent. Paul Tripp, CFA, wants to value two-year index options using the binomial model. To correctly value the options, he needs the formulas in Exhibit 1. The annual risk-free interest rate is 6 percent. Assume no dividends are paid on any of the underlying securities in the index. Exhibit 1. e-D U = e = 1.2214 d==- π₂ where e 1.06184 U-D Where: U = up movement factor D = down movement factor T = probability of an upward price movement
Exhibit 2.
Discount Factors
5.00%
6.00%
7.00%
Period 1
0.95123
0.94176
0.93239
Period 2
0.90484
0.88692
0.86936
Period 3 0.86071
0.83527
0.81058
A:
Construct a two-period binomial lattice for the stock index.
B:
Calculate the value of a European index call option with an exercise price of
60.00.
C:
Calculate the value of a European index put option with an exercise price of
60.00.
Transcribed Image Text:Exhibit 2. Discount Factors 5.00% 6.00% 7.00% Period 1 0.95123 0.94176 0.93239 Period 2 0.90484 0.88692 0.86936 Period 3 0.86071 0.83527 0.81058 A: Construct a two-period binomial lattice for the stock index. B: Calculate the value of a European index call option with an exercise price of 60.00. C: Calculate the value of a European index put option with an exercise price of 60.00.
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