11. MATLAB exercise on a Delta-Hedged Portfolio Write a MATLAB program to delta hedge the portfolio consisting only of the stock and the risk-free asset to cover the long call option. Observe the number of shorted shares and the cash flow during the adjustment of the portfolio to make it delta neutral at each time point.

Report the final cash position at the expiration after settling all the open positions.

Gradually increase the frequency of adjustment and observe the net cash position and also plot the performance vs frequency of this delta hedging that how correctly it covers the long call position.

Use the following data:

S(0) 5 100; K 5 105; T 5 1; r 5 8%; σ 5 30% and realized volatility 5 50%

Frequency: [6, 12, 50, 100, 300]