Kathleen has two investment opportunities. She can invest in The Sunglasses Company or the Umbrella Company. She estimates there is a 75% chance it will remain sunny and Sunglasses Co. stock will rise 50% and Umbrella Co. stock will stay flat. She also estimates there is a 25% chance it will rain and Sunglasses Co. stock will remain flat and Umbrella Co. stock will rise by 25%. If she diversifies her investment by putting 50% of her money in each company, what is the expected return and standard deviation of her portfolio

4. suppose that pollution in a neighborhood comes from two factories, with marginal benefit curves given by mb1 = 12 – p1 and mb2 = 8 – p2. the level of pollution in the neighborhood is given by p = p1 + p2. the government wants to limit pollution by instituting a pollution-rights market. the government’s desired level of p is 10, so it prints 10 pollution rights and offers them for sale to the firms.a)find the equilibrium selling price of a pollution right, as well as the allocation of rights (and hence pollution levels) across the two factories. b)repeat part (a) for the case where the government’s desired level of pollution equals 14. c)comment on the usefulness of a pollution rights market in achieving efficient levels of pollution abatement.

Transactions on april 1 of the current year, andrea byrd established a business to manage rental property. she completed the following transactions during april: opened a business bank account with a deposit of $45,000 from personal funds. purchased office supplies on account, $2,000. received cash from fees earned for managing rental property, $8,500. paid rent on office and equipment for the month, $5,000. paid creditors on account, $1,375. billed customers for fees earned for managing rental property, $11,250. paid automobile expenses for month, $840, and miscellaneous expenses, $900. paid office salaries, $3,600. determined that the cost of supplies on hand was $550; therefore, the cost of supplies used was $1,450. withdrew cash for personal use, $2,000. required: 1. indicate the effect of each transaction and the balances after each transaction: for those boxes in which no entry is required, leave the box blank. for those boxes in which you must enter subtractive or negative numbers use a minus sign. (example: -300)

Levine inc., which produces a single product, has prepared the following standard cost sheet for one unit of the product. direct materials (9 pounds at $1.80 per pound) $16.20 direct labor (6 hours at $14.00 per hour) $84.00 during the month of april, the company manufactures 270 units and incurs the following actual costs. direct materials purchased and used (2,500 pounds) $5,000 direct labor (1,660 hours) $22,908 compute the total, price, and quantity variances for materials and labor.