Question
QQ3: Consider the pricing of a one-year zero-coupon bond and the pricing of a 30-year bond with 10% annual coupons. Both bonds have face values
QQ3: Consider the pricing of a one-year zero-coupon bond and the pricing of a 30-year bond with 10% annual coupons. Both bonds have face values of $1,000. Suppose that the spot rate Rn that is used to discount a cash flow received in Period n is given by
where Level is the level and Slope is the slope of the yield curve.
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Currently, the level of the yield curve is 2% and the slope of the yield curve is 1%. Compute the prices of the 1-year zero-coupon bond and the 30-year coupon bond.
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Suppose that the Fed increases the target rate and that this triggers an increase in the level of the yield curve of 0.3% while leaving the slope unaffected. What are the prices of the bonds in this case?
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Suppose that, in addition to an increase in the level of the yield curve by 0.3%, a rate hike by the Fed also leads to a flattening of the yield curve so that the slope falls by 0.25%. What are the prices of the bond in this case?
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