At time 0.5, the price of $1 par of a zero maturing at time I will be either $0.96 or $0.98. The current price of the zero maturing at time 1 is $0.85 and the current price of the zero maturing at time 0.5 is $0.88. Consider also a claim that pays off $1 at time 0.5 if the zero maturing at time 1 is worth $0.96 and otherwise. This information is summarized in the payoff diagrams below. Zero maturing at time 0.5 Time 0 Time 0.5 $1 $0.88 Zero maturing at time 1 Time 0 Time 0.5 $0.96 $0.85 $1 $0.98 Claim Time 0 Time 0.5 $1 $0 a) Determine a portfolio of the 0.5- and 1-year zeros that has the same payoff as the claim at time 0.5 Enter the number of the 0.5-year zero here: Enter the number of the 1-year zero here: b) What is the value of the claim today in the absence of arbitrage? Enter your answer here: c) What are the risk-neutral probabilities of the two possible time 0.5 values of the zero maturing at time 1? Let's label the state when the zero maturitng at time 1 becomes $0.96 the up state. Enter RN probability of the upper branch: Enter RN probability of the lower branch: At time 0.5, the price of $1 par of a zero maturing at time I will be either $0.96 or $0.98. The current price of the zero maturing at time 1 is $0.85 and the current price of the zero maturing at time 0.5 is $0.88. Consider also a claim that pays off $1 at time 0.5 if the zero maturing at time 1 is worth $0.96 and otherwise. This information is summarized in the payoff diagrams below. Zero maturing at time 0.5 Time 0 Time 0.5 $1 $0.88 Zero maturing at time 1 Time 0 Time 0.5 $0.96 $0.85 $1 $0.98 Claim Time 0 Time 0.5 $1 $0 a) Determine a portfolio of the 0.5- and 1-year zeros that has the same payoff as the claim at time 0.5 Enter the number of the 0.5-year zero here: Enter the number of the 1-year zero here: b) What is the value of the claim today in the absence of arbitrage? Enter your answer here: c) What are the risk-neutral probabilities of the two possible time 0.5 values of the zero maturing at time 1? Let's label the state when the zero maturitng at time 1 becomes $0.96 the up state. Enter RN probability of the upper branch: Enter RN probability of the lower branch