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A trader writes the following 1-year European-style barrier options as protection against large movements in a non-dividend paying stock that is currently trading at EUR 40.96.
| Option | Price (EUR) |
|---|---|
| Up-and-in barrier call, with barrier at EUR 45 | 3.52 |
| Up-and-out barrier call, with barrier at EUR 45 | 1.24 |
| Down-and-in barrier put, with barrier at EUR 35 | 2.00 |
| Down-and-out barrier put, with barrier at EUR 35 | 1.01 |
All of the options have the same strike price. Assuming the risk-free rate is 2% per annum, what is the common strike price of these options?