A stock index is currently 990, the risk-free rate is 5%, and the dividend yield on the index is 2%. Use a three-step tree in an excel spreadsheet to value an 18-month American put option with a strike price of 1,000 when the volatility is 20% per annum.

Speedy auto repairs uses a job-order costing system. the company’s direct materials consist of replacement parts installed in customer vehicles, and its direct labor consists of the mechanics’ hourly wages. speedy’s overhead costs include various items, such as the shop manager’s salary, depreciation of equipment, utilities, insurance, and magazine subscriptions and refreshments for the waiting room. the company applies all of its overhead costs to jobs based on direct labor-hours. at the beginning of the year, it made the following estimates: direct labor-hours required to support estimated output 20,000 fixed overhead cost $ 350,000 variable overhead cost per direct labor-hour $ 1.00 required: 1. compute the predetermined overhead rate. 2. during the year, mr. wilkes brought in his vehicle to replace his brakes, spark plugs, and tires. the following information was available with respect to his job: direct materials $ 590 direct labor cost $ 109 direct labor-hours used 6