finance

Suppose you can borrow/lend USD at 5% per annum (continuously compounded), and borrow/lend JPY at 1% per annum (continuously compounded). The spot exchange rate is 0.009 $//and the price of a dollar-denominated European call to buy one yen with 1 year to expiration and a strike price of $0,009 is $0.0006. What is the dollar-denominated European yen put price? If the price of a dollar-denominated at-the-money yen call in the United States is $0.0006, what is the price of a yen-denominated at-the-money dollar call-an option giving the right to buy one dollar, denominated in yen-in Tokyo? What is the price of the at-the-money dollar put? At zero interest rate, when would you rationally early-exercise an American call or an American out on a dividend-paying stock? Please present your reasoning. A one-month European put option on a non-dividend-paying stock is currently selling for $2 50 The stock price is $47, the strike price is $50, and the risk-free interest rate is 6% per annum What opportunities are there for an arbitrageur