The continuously compounded interest rate on a 2-year default-free US dollar-denominated bond is 0.3% per annum. The continuously compounded interest rate on a 2- year default-free Euro-denominated bond is 0.1% per annum. There are no transactions costs. The current exchange rate is $1.40 for 1 Euro. There will be arbitrage opportunities unless a 2-year European-style put option on 50,000 Euro with an exercise price of $80,000 is worth at least:

Please show your calculation.