On January 1, 2020, Sharp Company purchased $110,000 of Sox Company 6% bonds, at a time when the market rate was 5%. The bonds mature on December 31, 2024, and pay interest annually on December 31. Sharp plans to and has the ability to hold the bonds until maturity. Assume that Sharp uses the effective interest method to amortize any premium or discount on investments in bonds. At December 31, 2020, the bonds are quoted at 98. a. Prepare the entry for the purchase of the debt investment on January 1, 2020. b. Prepare the entry for the receipt of interest on December 31, 2020. c. Record the entry to adjust the investment to fair value on December 31, 2020, if applicable.

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?