# Question: the value of a european put option must satisfy the...

###### Question details

The value of a European put option must satisfy the following restriction:

𝑝≥𝑋𝑒^-rt −𝑆0

where 𝑝 is the current put price, 𝑆 is the current price of the underlying stock, 𝑋 is the exercise price, 𝑟>0 is the annualised continuously compounded risk-free rate, and 𝑇 is the time till expiration.

Prove by contradiction that the above arbitrage restriction must hold, i.e. show that if the condition does not hold, there is an arbitrage opportunity.

Please help as I have no idea how to start on this