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please explain so i can further comprehend. The following table describes peoples' beliefs, as of today, about the path of overnight interest rates over the

image text in transcribedplease explain so i can further comprehend.

The following table describes peoples' beliefs, as of today, about the path of overnight interest rates over the next five years. C Path Probability A 1/3 B 1/3 1/3 Year 1 Overnight interest rates 5 5 5 2 3 7 7 ON ON 4 2 S 7 5 1) What is the expected value of the average overnight rate over the next 5 years? 2) Consider a zero-coupon bond that will pay off $1,000 at the end of five years. Suppose that the price of the bond equates the bond's yield to maturity to the expected value of the average overnight rate over the next five years. What is the bond's yield to maturity? What is the price of the bond? 3) Suppose you don't buy the bond. Instead, you take the money it would cost to buy the bond and make overnight loans, rolling over the interest and principal into more overnight loans, for five years. What is the probability that, at the end of five years, this will give you a) more than $1,000 (the payoff from the bond) b) less than $1,000 (the payoff from the bond) 4) Suppose you do buy the bond. What will happen to the price of the bond tomorrow if: a) it becomes certain that overnight rates will follow path A. b) it becomes certain that overnight rates will follow path B

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