Suppose that there are two securities, RAIN and SUN. RAIN pays $100 if there is any rain on the day of the soccer world cup final, $0 otherwise. SUN pays $100 if there is no rain, $0 otherwise. Suppose the soccer world cup final is 1 year from today, and suppose that RAIN is trading at a price of $23 and SUN is trading at a price of $70.

(a) If you buy 1 share of RAIN and 1 share of SUN, what is your payoff after 1 year, depending on the weather?

(b) What does the No-Arbitrage Condition imply about the price of a 1-year zero coupon bond with face value $100 (Assume no trading costs.)