A ten-year T-bond has an eight percent coupon, and an eight-year T-bond has a ten percent coupon. These bonds are not callable and both have the same risk. If the yield to maturity (required rate of return) of both bonds increases by the same amount, which of the following statements would be CORRECT?

a) The prices of both bonds will decrease by the same amount.

b) The prices of both bonds would increase by the same amount.

c) Both bonds would decline in price, but the 10-year bond would have the greater percentage decline in price.

d) One bond's price would increase, while the other bond’s price would decrease.

3. saving two consumers, larry and jeff, have utility functions defined over the two periods of their lives: middle age (period zero) and retirement (period 1). they have the same income in period 0 of m dollars and they will not earn income in period 1. the interest rate they face is r. larry’s and jeff’s utility functions are as follow. = 0.5 + 0.5 and = 0.5 + 0.5 for each person is between zero and one and represents each consumer’s temporal discount econ 340: intermediate microeconomics. ben van kammen: purdue university. rate. a. write the budget constraint that applies to both jeff and larry in terms of consumption in each period and ), interest rate, and m. b. what is larry’s and what is jeff’s marginal rate of intertemporal substitution? c. what is the slope of the budget constraint? d. write each consumer’s condition for lifetime utility maximization. e. re-arrange the conditions from part (d) to solve for the ratio, . f. if > which consumer will save more of his middle age income? g. if > 1 1+ , in which period will larry consume more: = 0 or = 1?