Question

Consider a long term government bond, specifically a consol that pays a fixed coupon payment C each period from now until ever. Let Qt be the price of the bond C and R the required gross rate of return on the bond, which we suppose equals the gross real interest rate. It follows that the bond must be priced to satisfy: where the left side of the equation is the expected rate of return from holding the bond. Questions 1. Solve for Qt as a function of C and R. 2. Suppose the central bank raises R to permanently. What is the effect on 3. Now suppose that the central bank is expected to keep R fixed for T periods and then raise it to R. How will that affect Qt?

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