Question

An investor sells a European call on a share for S3 The stock price is $26 and the strike price is $29. Under what circumstanc 4- es does the investor make a profit? Under what circumstances will the option be exercised? Draw a diagram showing the variation of the investors profit with the stock price at the maturity of the option.
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Answer #1

The investor shall make profit when the stock price is less than ($29-$3) i.e. $26. (-$3 is the option premium).

Option would be exercised when the stock price is less than $29. It is so because there shall be a positive payoff and the option has already been bought.

The payoff table is:

ST: Market price Payoff Option Cost Profit
$                     1.00 $                         28.00 $       3.00 $     25.00
$                     2.00 $                         27.00 $       3.00 $     24.00
$                     3.00 $                         26.00 $       3.00 $     23.00
$                     4.00 $                         25.00 $       3.00 $     22.00
$                     5.00 $                         24.00 $       3.00 $     21.00
$                     6.00 $                         23.00 $       3.00 $     20.00
$                     7.00 $                         22.00 $       3.00 $     19.00
$                     8.00 $                         21.00 $       3.00 $     18.00
$                     9.00 $                         20.00 $       3.00 $     17.00
$                   10.00 $                         19.00 $       3.00 $     16.00
$                   11.00 $                         18.00 $       3.00 $     15.00
$                   12.00 $                         17.00 $       3.00 $     14.00
$                   13.00 $                         16.00 $       3.00 $     13.00
$                   14.00 $                         15.00 $       3.00 $     12.00
$                   15.00 $                         14.00 $       3.00 $     11.00
$                   16.00 $                         13.00 $       3.00 $     10.00
$                   17.00 $                         12.00 $       3.00 $       9.00
$                   18.00 $                         11.00 $       3.00 $       8.00
$                   19.00 $                         10.00 $       3.00 $       7.00
$                   20.00 $                            9.00 $       3.00 $       6.00
$                   21.00 $                            8.00 $       3.00 $       5.00
$                   22.00 $                            7.00 $       3.00 $       4.00
$                   23.00 $                            6.00 $       3.00 $       3.00
$                   24.00 $                            5.00 $       3.00 $       2.00
$                   25.00 $                            4.00 $       3.00 $       1.00
$                   26.00 $                            3.00 $       3.00 $            -  
$                   27.00 $                            2.00 $       3.00 $      -1.00
$                   28.00 $                            1.00 $       3.00 $      -2.00
$                   29.00 $                                -   $       3.00 $      -3.00
$                   30.00 $                                -   $       3.00 $      -3.00

25 20 1 150-5

As the stock price increased the profit decreases.

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