In: Finance
An investor buys 100 shares of a stock, shorts 60 call options on the stock with strike price of $20 and buys 60 put options on the stock with strike price of $10. All options are one-year European options. Draw a diagram illustrating the value of the investor’s portfolio as a function of the stock price after one year.
the value of the investor’s portfolio as a function of the stock price, S after one year = 100 x S - 60 x max (S - K1, 0) + 60 x max (K2 - S, 0) = 100S - 60 x max (S - 20, 0) + 60 x max (10 - S, 0)
| Stock Price, S | Value |
| - | 600 |
| 5 | 800 |
| 10 | 1,000 |
| 15 | 1,500 |
| 20 | 2,000 |
| 25 | 2,200 |
| 30 | 2,400 |
| 35 | 2,600 |
| 40 | 2,800 |
| 45 | 3,000 |
| 50 | 3,200 |
And the diagram will be: