Suppose labor income starts at $50,000 and then grows at a constant rate of 2 per cent per year after that. Let wt be labor income in year t, so that wt = w0(1 + g) t , where w0 = 50, 000 and g = 0.02. (a) If the interest rate is R, what is the formula for the present discounted value (PDV from now on) today (in year 0) of labor income in a particular future year t? (b) Now add up these terms from t = 0 to t = 45 to get a formula for the PDV of labor income. Your answer should look something like that in equation (7.12) of the textbook. (c) Write your answer to part (b) so that it takes the form of the geometric series P DV = w0(1 + a + a 2 + a 3 + ... + a 45). What is the value of a that you find? (d) Apply the geometric series formula to compute the PDV for the case of R = 0.04, R = 0.03, and R = 0.02. What happens when R = 0.02 and why?

White company has two departments, cutting and finishing. the company uses a job-order costing system and computes a predetermined overhead rate in each department. the cutting department bases its rate on machine-hours, and the finishing department bases its rate on direct labor-hours. at the beginning of the year, the company made the following estimates: department cutting finishing direct labor-hours 6,000 30,000 machine-hours 48,000 5,000 total fixed manufacturing overhead cost $ 264,000 $ 366,000 variable manufacturing overhead per machine-hour $ 2.00 " variable manufacturing overhead per direct labor-hour " $ 4.00 required: 1. compute the predetermined overhead rate for each department. 2. the job cost sheet for job 203, which was started and completed during the year, showed the following: department cutting finishing direct labor-hours 6 20 machine-hours 80 4 direct materials $ 500 $ 310 direct labor cost $ 108 $ 360 using the predetermined overhead rates that you computed in requirement (1), compute the total manufacturing cost assigned to job 203. 3. would you expect substantially different amounts of overhead cost to be assigned to some jobs if the company used a plantwide predetermined overhead rate based on direct labor-hours, rather than using departmental rates?

Exercise 18-15 sheffield appliance center is an experienced home appliance dealer. sheffield appliance center also offers a number of services for the home appliances that it sells. assume that sheffield appliance center sells ovens on a standalone basis. sheffield appliance center also sells installation services and maintenance services for ovens. however, sheffield appliance center does not offer installation or maintenance services to customers who buy ovens from other vendors. pricing for ovens is as follows. oven only $790 oven with installation service 850 oven with maintenance services 970 oven with installation and maintenance services 990 in each instance in which maintenance services are provided, the maintenance service is separately priced within the arrangement at $180. additionally, the incremental amount charged by sheffield appliance center for installation approximates the amount charged by independent third parties. ovens are sold subject to a general right of return. if a customer purchases an oven with installation and/or maintenance services, in the event sheffield appliance center does not complete the service satisfactorily, the customer is only entitled to a refund of the portion of the fee that exceeds $790. assume that a customer purchases an oven with both installation and maintenance services for $990. (b) indicate the amount of revenue that should be allocated to the oven, the installation, and to the maintenance contract.

You are purchasing a bond that currently sold for $985.63. it has the time-to-maturity of 10 years and a coupon rate of 6%, paid semi-annually. the bond can be called for $1,020 in 3 years. what is the yield to maturity of this bond?