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Today is April 22, 2021. The bond prices for bond #4 and bond #5 are given in the table below. Both bonds have a face

Today is April 22, 2021. The bond prices for "bond #4" and "bond #5" are given in the table below. Both bonds have a face value of $100

#4 Coupon: 2% Maturity: Oct 22, 2021 Price: 100

#5 Coupon: 3% Maturity: April 22, 2022 Price: 100.5

a) what is the 1-year forward and spot rates

b) find the price of #5 as of October 22, 2021, right after it makes the coupon payment if we assume that all future interest rates are known in advance with 100% certainty

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