Assume the stock return for the next month is a random variable that follows a Normal distribution with the mean 1.5% and the standard deviation 5%, which is the true probability. The interest rate is 0.25% for the next month. Suppose you are the owner of a big investment bank, and one of your VIP clients wants to buy a customized derivative from you. The payoff of such derivative is $4mil if the stock return for the next month is larger than 0.25%, and $1mil if the stock return for the next month is smaller than 0.25%. Assume the probability that the stock return turns out exactly 0.25% is zero. Compute the price of this customized derivative. Your client will pay you extra fees in addition to the price of this derivative. This computation is extremely important for your business. If your valuation is too high, the client will buy the same derivative from other banks, and you lose the fees. If your valuation is too low, you are selling a product with an expected loss.

“wonderful! not only did our salespeople do a good job in meeting the sales budget this year, but our production people did a good job in controlling costs as well,” said kim clark, president of martell company. “our $11,150 overall manufacturing cost variance is only 3% of the $1,536,000 standard cost of products made during the year. that’s well within the 3% parameter set by management for acceptable variances. it looks like everyone will be in line for a bonus this year.” the company produces and sells a single product. the standard cost card for the product follows: standard cost card—per unit direct materials, 4.00 feet at $4.00 per foot $ 16.00 direct labor, 1.1 direct labor-hours at $13 per direct labor-hour 14.30 variable overhead, 1.1 direct labor-hours at $2.40 per direct labor-hour 2.64 fixed overhead, 1.1 direct labor-hours at $6.50 per direct labor-hour 7.15 standard cost per unit $ 40.09the following additional information is available for the year just completed: a. the company manufactured 20,000 units of product during the year.b. a total of 77,000 feet of material was purchased during the year at a cost of $4.25 per foot. all of this material was used to manufacture the 20,000 units. there were no beginning or ending inventories for the year.c. the company worked 24,000 direct labor-hours during the year at a direct labor cost of $12.50 per hour.d. overhead is applied to products on the basis of standard direct labor-hours. data relating to manufacturing overhead costs follow: denominator activity level (direct labor-hours) 19,000 budgeted fixed overhead costs $ 123,500 actual variable overhead costs incurred $ 64,800 actual fixed overhead costs incurred $ 120,900required: 1. compute the materials price and quantity variances for the year. (round standard price and actual price to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero 2. compute the labor rate and efficiency variances for the year. (round standard rate and actual rate to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero 3. for manufacturing overhead compute: a. the variable overhead rate and efficiency variances for the year. (round standard rate and actual rate to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero b. the fixed overhead budget and volume variances for the year. (indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero

Shrieves casting company is considering adding a new line to its product mix, and the capital budgeting analysis is being conducted by sidney johnson, a recently graduated mba. the production line would be set up in unused space in the main plant. the machinery’s invoice price would be approximately $200,000, another $10,000 in shipping charges would be required, and it would cost an additional $30,000 to install the equipment. the machinery has an economic life of 4 years, and shrieves has obtained a special tax ruling that places the equipment in the macrs 3-year class. the machinery is expected to have a salvage value of $25,000 after 4 years of use. the new line would generate incremental sales of 1,250 units per year for 4 years at an incremental cost of $100 per unit in the first year, excluding depreciation. each unit can be sold for $200 in the first year. the sales price and cost are both expected to increase by 3% per year due to inflation. further, to handle the new line, the firm’s net working capital would have to increase by an amount equal to 12% of sales revenues. the firm’s tax rate is 40%, and its overall weighted average cost of capital, which is the risk-adjusted cost of capital for an average project (r), is 10%. define “incremental cash flow.” (1) should you subtract interest expense or dividends when calculating project cash flow?

Robert black, regional manager for ford in texas and oklahoma, faced a dilemma. the ford f-150 pickup truck was the best-selling pickup ever, yet ford's headquarters in detroit had decided to introduce a completely redesigned f-150. how could mr. black sell both trucks at the same time? he still had "old" f-150s in stock. in his advertising, mr. black referred to the new f-150s as follows: "not a better f-150. just the only truck good enough to be the next f-150." this statement represents ford's of the new f-150.