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PLEASE SHOW WORK (6p) Suppose there are two bonds, they are exactly the same except one has 10-years to maturity and the other has 25-

PLEASE SHOW WORK
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(6p) Suppose there are two bonds, they are exactly the same except one has 10-years to maturity and the other has 25- years. (They have the same face value of $1,000, and same coupon rates). Suppose you expect the FED to further reduce the interest rates by 0.59-50bsp (bsp means basis points where 100bsp-196) Suppose you also want to invest in these bonds. Would you buy them now. given your expectation on the FED's decision? Explain your decision in 1-2 sentences

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