Consider the following two securities: RAIN and SUN. RAIN pays $100 if it rains on Memorial Day. SUN pays $100 if there is no rain. Suppose that RAIN is trading at a price of $27 and SUN is trading at a price of $70.

(a) If you buy 1 share of RAIN and 1 share of SUN, what is the payoff on Memorial Day

(b) According to the No Arbitrage Condition, what must be the price of a $100 face value zero-coupon bond that matures on Memorial Day?

(c) Suppose that this zero-coupon bond is trading at $99. How would you set up a transaction to earn a riskless arbitrage profit? Assume no trading costs.