We know the prices and payoffs for securities 1 and 2 and they are represented as follows: a. What is the risk-free interest rate? b. Consider a risk-free security that has a payot in one year of $2,250. i. How many units of each of securities 1 and 2 would be needed to replicate this nsk-free security? ii. Based on part b.i), what is the market price today of this risk-free security? iii. Based on part a). What is the market price today of this nsk-free secunity? security? ii. Based on part bi), what is the market price today of this risk-free security? iii. Based on part a), what is the market price today of this risk-free security? c. Consider a secunty that has a payoff in one year of $2,250 if the economy is weak and $4,500 if the economy is strong. i. How many units of each of securities 1 and 2 would be needed to replicate this secunty? ii. Based on part ci), what is the market price today of this secunty? d. Consider a secunty that has a payoff in one year of $4,500 if the economy is weak and $2,250 if the econemy is strong i. How many units of each of securities 1 and 2 would be needed to replicate this secunty? ii. Based on part di), what is the market pribe today of this security? e. Explain the economic reasoning as to why the security in part c) has a lower price than the security in part d)