Consider a European call on Procter and Gamble stock (PG) that expires in one period. The current stock price is $120, the strike price is $130, and the risk-free rate is 5%. Assume that PG stock will either go up to $150 (probability = .4), or go down to $90 (probability = .6). Construct a replicating portfolio based on shares of PG stock and a position in a risk-free asset, and compute the price of the call option. $11.43 Replicating Portfolio is Buy 0.33 shares and Borrow $28.57 ... Call Price = Replicating Portfolio is Buy 0.33 shares and Buy $28.57 in bonds... Call Price = $68.57 Replicating Portfolio is Buy 0.66 shares and Buy $18.23 in bonds ... Call Price = $68.57 Replicating Portfolio is Buy 0.66 shares and Borrow $13.57 ... Call Price = $11.43

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Consider a European call on Procter and Gamble stock (PG) that expires in one period. The current
stock price is $120, the strike price is $130, and the risk-free rate is 5%. Assume that PG stock will
either go up to $150 (probability = .4), or go down to $90 (probability = .6). Construct a replicating
portfolio based on shares of PG stock and a position in a risk-free asset, and compute the price of
the call option.
Replicating Portfolio is Buy 0.33 shares and Borrow $28.57 ... Call Price = $11.43
Replicating Portfolio is Buy 0.33 shares and Buy $28.57 in bonds ... Call Price = $68.57
Replicating Portfolio is Buy 0.66 shares and Buy $18.23 in bonds ... Call Price = $68.57
Replicating Portfolio is Buy 0.66 shares and Borrow $13.57 ... Call Price = $11.43
Transcribed Image Text:Consider a European call on Procter and Gamble stock (PG) that expires in one period. The current stock price is $120, the strike price is $130, and the risk-free rate is 5%. Assume that PG stock will either go up to $150 (probability = .4), or go down to $90 (probability = .6). Construct a replicating portfolio based on shares of PG stock and a position in a risk-free asset, and compute the price of the call option. Replicating Portfolio is Buy 0.33 shares and Borrow $28.57 ... Call Price = $11.43 Replicating Portfolio is Buy 0.33 shares and Buy $28.57 in bonds ... Call Price = $68.57 Replicating Portfolio is Buy 0.66 shares and Buy $18.23 in bonds ... Call Price = $68.57 Replicating Portfolio is Buy 0.66 shares and Borrow $13.57 ... Call Price = $11.43
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