Little Tots Gym has a required rate of return of 13%. The gym is considering the purchase of $12,500 of new equipment. The internal rate of return on the project has been calculated to be 11%. This project:

Suppose your rich uncle gave you $50,000, which you plan to use for graduate school. you will make the investment now, you expect to earn an annual return of 6%, and you will make 4 equal annual withdrawals, beginning 1 year from today. under these conditions, how large would each withdrawal be so there would be no funds remaining in the account after the 4th withdraw?

Reynolds corp. factors $400,000 of accounts receivable with mateer finance corporation on a without recourse basis on july 1, 2015. the receivables records are transferred to mateer finance, which will receive the collections. mateer finance assesses a finance charge of 1 ½ percent of the amount of accounts receivable and retains an amount equal to 4% of accounts receivable to cover sales discounts, returns, and allowances. the transaction is to be recorded as a sale.required: a. prepare the journal entry on july 1, 2015, for reynolds corp. to record the sale of receivables without recourse.b. prepare the journal entry on july 1, 2015, for mateer finance corporation to record the purchase of receivables without recourse— think through this.c. explain the difference between sale of receivables with recourse as oppose to without recourse.

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?