6. what will be her position in the underlying stock

the data is in the problem..

Q6 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%. (ii) The stocks 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? Q6 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%. (ii) The stocks 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