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The cash futures price of a 3 month zero coupon bond with a face value of $100 for delivery in 11.62 months from now is 95.19 dollars. Suppose that the current spot interest rate for a term of 14.62 months is 20.25% per annum. Assume continuous compounding to answer the following:
1. The forward rate of interest for period 11.62 months for 11.62+3 months
2. The spot rate of interest for period 0 to 11.62 months
3. The current fair value of a 11.62 -month zero coupon bond with $100 face.
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Based on your answer to part a, and assuming that the good faith deposit required for each contract is $1500, how much money would the clearinghouse show in your good faith deposit account when the futures price was $0.5812?
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What does it mean when a bond is issued at a premium or a discount. In your response, discuss the difference between the effective and stated interest rate.
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