Consider the market for wheat. The current price of a ton of wheat is 250 USD. In the next year, the price will be 310 with probability 1/3 and 220 with probability 2/3. The interest rate between the two years is 5% i) Compute the price of a future that allows to purchase a ton of wheat next year for 300 USD. ii) Compute the price of a call option on a ton of wheat with a strike price of 300 USD. The option can be exercised a year from now. 3 iii) Where is the difference in this two prices coming from? iv) Compute the price of a put option on a ton of wheat with a strike price of 305 USD. The option can be exercised a year from now. v) Compute the expected return of a portfolio composed of the future in part (i) and the put option in part

Presented below is a list of possible transactions. analyze the effect of the 18 transactions on the financial statement categories indicated. transactions assets liabilities owners’ equity net income 1. purchased inventory for $80,000 on account (assume perpetual system is used). 2. issued an $80,000 note payable in payment on account (see item 1 above). 3. recorded accrued interest on the note from item 2 above. 4. borrowed $100,000 from the bank by signing a 6-month, $112,000, zero-interest-bearing note. 5. recognized 4 months’ interest expense on the note from item 4 above. 6. recorded cash sales of $75,260, which includes 6% sales tax. 7. recorded wage expense of $35,000. the cash paid was $25,000; the difference was due to various amounts withheld. 8. recorded employer’s payroll taxes. 9. accrued accumulated vacation pay. 10. recorded an asset retirement obligation. 11. recorded bonuses due to employees. 12. recorded a contingent loss on a lawsuit that the company will probably lose. 13. accrued warranty expense (assume expense warranty approach). 14. paid warranty costs that were accrued in item 13 above. 15. recorded sales of product and related service-type warranties. 16. paid warranty costs under contracts from item 15 above. 17. recognized warranty revenue (see item 15 above). 18. recorded estimated liability for premium claims outstanding.

Shelby company produces three products: product x, product y, and product z. data concerning the three products follow (per unit): product x product y product z selling price $ 85 $ 65 $ 75 variable expenses: direct materials 25.50 19.50 5.25 labor and overhead 25.50 29.25 47.25 total variable expenses 51.00 48.75 52.50 contribution margin $ 34.00 $ 16.25 $ 22.50 contribution margin ratio 40 % 25 % 30 % demand for the company’s products is very strong, with far more orders each month than the company can produce with the available raw materials. the same material is used in each product. the material costs $8 per pound, with a maximum of 4,400 pounds available each month. required: a. compute contribution margin per pound of materials used. (round your intermediate calculations and final answers to 2 decimal places.) contribution margin per pound product x $ product y $ product z $ b. which orders would you advise the company to accept first, those for product x, for product y, or for product z? which orders second? third? product x product y product z

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers. firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?