On october 5, 2019, you purchase a $10,000 t-note that matures on august 15, 2031 (settlement occurs two days after purchase, so you receive actual ownership of the bond on october 7, 2019). the coupon rate on the t-note is 4.375 percent and the current price quoted on the bond is 105.250 percent. the last coupon payment occurred on may 15, 2019 (145 days before settlement), and the next coupon payment will be paid on november 15, 2019 (39 days from settlement). a. calculate the accrued interest due to the seller from the buyer at settlement. b. calculate the dirty price of this transaction.

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.