Suppose that you are the manager of a newly formed retirement fund. You are to set up a series of semiannual payments to accumulate a sum of $1,000,000 in ten years. You assume that the appropriate interest rate for the period is 6 percent annual, compounded semiannually. The first payment into the fund will be made six months from today and the last payment will be at the end of the tenth year. Required:
a. What is the required semiannual payment, to the nearest dollar?
b. Suppose that immediately after the 4th payment is made at the end of the second year, interest rates have risen and you believe that the appropriate rate for the remainder of the period is now 8 percent annual. Assume that you can earn that rate on funds already accumulated and the 16 future payments. Interest is to be compounded semiannually on all funds. Calculate the revised payment that will allow you to reach your investment goal of $1M.

San ruiz interiors provides design services to residential and commercial clients. the residential services produce a contribution margin of $450,000 and have traceable fixed operating costs of $480,000. management is studying whether to drop the residential operation. if closed, the fixed operating costs will fall by $370,000 and san ruiz’ income will

Laval produces lamps and home lighting fixtures. its most popular product is a brushed aluminum desk lamp. this lamp is made from components shaped in the fabricating department and assembled in the assembly department. information related to the 22,000 desk lamps produced annually follows.direct materials $280,000direct labor fabricating department (8,000 dlh × $24 per dlh) $192,000assembly department (16,600 dlh × $26 per dlh) $431,600machine hours fabricating department $15,200mhassembly department $20,850mhexpected overhead cost and related data for the two production departments follow.fabricating assemblydirect labor hours 150,000dlh 295,000dlhmachine hours 161,000mh 128,000mhoverhead cost $400,000 430,000required1. determine the plantwide overhead rate for laval using direct labor hours as a base.2. determine the total manufacturing cost per unit for the aluminum desk lamp using the plantwide overhead rate.3. compute departmental overhead rates based on machine hours in the fabricating department and direct labor hours in the assembly department.4. use departmental overhead rates from requirement 3 to determine the total manufacturing cost per unit for the aluminum desk lamps.

Arnold rossiter is a 40-year-old employee of the barrington company who will retire at age 60 and expects to live to age 75. the firm has promised a retirement income of $20,000 at the end of each year following retirement until death. the firm's pension fund is expected to earn 7 percent annually on its assets and the firm uses 7% to discount pension benefits. what is barrington's annual pension contribution to the nearest dollar for mr. rossiter? (assume certainty and end-of-year cash flows.)