A European call option allows one to purchase 2 shares of stock B with 1 share of stock A at the end of a year.
>Stock A pays dividends at a continuous rate of 2%
>Stock B pays dividends at a continuous rate of 4%
>The continuously compounded risk free rate is 5%
>The current price for stock A is 70, the current price of stock B is 30
A European put option which allows one to sell 2 shares of stock B for 1 share of stock A costs 11.5. Determine the premium of the European call option mentioned above, which allows one to purchase 2 shares of stock B for 1 share of stock A.