The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, and two years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of £)as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantity demanded/supplied at this interest rate? What happens to the demand/supply of the bond as the interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain. e) There is a business cycle contraction, so both supply and demand shifts. After the shift, the new demand curve is given by: D = 4000 + X − 2P , whereas the new supply curve is S = 2P + 200. For which values of X will the interest increase/decrease? Which values of X are in line with empirical data?
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b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantity demanded/supplied at this interest rate? What happens to the demand/supply of the bond as the interest rate increases? Explain why.
c) What is the equilibrium interest rate?
d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain.
e) There is a business cycle contraction, so both
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Could you expnad on how you got the equilibrium interest rate value? i don't get 0.065 when is solve the euqation 900 = 50/(1+i) + 50/(i+1)^2 + 1000/(1+i)^2.
Also, my answer from plugging into the equation i part a. to find the demand and supply at YTM = 0.05, doesn't match using the same equation to get the answer?
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