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Consider two European put options on a dividend paying stock in the Black-Scholes framework. You are given the following: i) The stock is currently selling

Consider two European put options on a dividend paying stock in the Black-Scholes framework. You are given the following: 


i) The stock is currently selling for $70. 

ii) The stock pays dividends continuously at a yield of 2%. 

iii) The stock's volatility is 25%. 

iv) The continuously compounded risk-free interest rate is 3%. 

v) Put 1 has a strike of $70, expires in 6 months, and has a gamma of 0.08. 

vi) Put 2 has a strike of $60, expires in 1 year, and has a gamma of 0.05. 


A market-maker has just sold 100 of Put 1 and wishes to both delta-hedge and gamma-hedge her position using Put 2 and/or the underlying stock. What will be her position in the underlying stock?

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