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The following quotes were observed for options on a given stock on November 1 of a given year. These are American calls except where indicated.

The following quotes were observed for options on a given stock on November 1 of a given year. These are American calls except where indicated.

Calls

Puts

Strike

Nov

Dec

Jan

Nov

Dec

Jan

105

8.40

10

11.50

5.30

1.30

2.00

110

4.40

7.10

8.30

0.90

2.50

3.80

115

1.50

3.90

5.30

2.80

4.80

4.80

The stock price was 113.25. The risk-free rates were 7.30 percent (November), 7.50 percent (December) and 7.62 percent (January). The times to expiration were 0.0384 (November), 0.1342 (December), and 0.211 (January). Assume no dividends unless indicated.

Suppose you knew that the January 115 options were correctly priced but suspected that the stock was mispriced. Using put-call parity, what would you expect the stock price to be? For this problem, treat the options as if they were European.

a.

113.67

b.

123.23

c.

121.23

d.

112.77

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