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An increase in y raises the demand for money, an increase in R reduces the demand for money, and an increase in w raises the demand for money. By the budget constraint (4), the demand for money sets the demand for bonds, bd = w?md = w?(10y?5R+.
Alternatively, if prevailing interest rates are increasing, older bonds become less valuable because their coupon payments are now lower than those of new bonds being offered in the market. The price of these older bonds drops and they are described as trading at a discount.
When the demand for a particular bond increases, all else equal, its price will rise and its yield will fall. The supply of a bond depends on how much the issuer of a bond needs to borrow from the market, such as a government financing its expenditure.
The bond demand curve is the relationship between the price and the quantity of bonds that investors demand, all else equal. The price of bonds is inversely related to the yield, the demand curve implies that the higher the demand for bonds, the higher the yield. The bond demand curve slopes downward.
Most bonds pay a fixed interest rate that becomes more attractive if interest rates fall, driving up demand and the price of the bond. Conversely, if interest rates rise, investors will no longer prefer the lower fixed interest rate paid by a bond, resulting in a decline in its price.