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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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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.

OptionPrice (EUR)
Up-and-in barrier call, with barrier at EUR 453.52
Up-and-out barrier call, with barrier at EUR 451.24
Down-and-in barrier put, with barrier at EUR 352.00
Down-and-out barrier put, with barrier at EUR 351.01

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?

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