Two assets have the following expected returns and standard deviations when the risk-free rate is 5%: asset a e(ra) = 10% σa = 20% asset b e(rb) = 15% σb = 27% an investor with a risk aversion of a = 3 would find that on a risk-return basis.

Management discovers that a supervisor at one of its restaurant locations removes excess cash and resets sales totals throughout the day on the point-of-sale (pos) system. at closing, the supervisor deposits cash equal to the recorded sales on the pos system and keeps the rest.the supervisor forwards the close-of-day pos reports from the pos system along with a copy of the bank deposit slip to the company’s revenue accounting department. the revenue accounting department records the sales and the cash for the location in the general ledger and verifies the deposit slip to the bank statement. any differences between sales and deposits are recorded in an over/short account and, if necessary, followed up with the location supervisor. the customer food order checks are serially numbered, and it is the supervisor’s responsibility to see that they are accounted for at the end of each day. customerchecks and the transaction journal tapes from the pos system are kept by the supervisor for 1 week at the location and then destroyed.what control allowed the fraud to occur?

In the fall, jay thompson decided to live in a university dormitory. he signed a dorm contract under which he was obligated to pay the room rent for the full college year. one clause stated that if he moved out during the year, he could sell his dorm contract to another student who would move into the dormitory as his replacement. the dorm cost was $5000 for the two semesters, which jay had already paid a month after he moved into the dorm, he decided he would prefer to live in an apartment. that week, after some searching for a replacement to fulfill his dorm contract, jay had two offers. one student offered to move in immediately and to pay jay $300 per month for the eight remaining months of the school year. a second student offered to move in the second semester and pay $2500 to jay. jay estimates his food cost per month is $500 if he lives in the dorm and $450 if he lives in an apartment with three other students. his share of the apartment rent and utilities will be $404 per month. assume each semester is 4.5 months long. disregard the small differences in the timing of the disbursements or receipts. what is the cost of the cheapest alternative?

In december of 2004, the company you own entered into a 20-year contract with a grain supplier for daily deliveries of grain to its hot dog bun manufacturing facility. the contract called for "10,000 pounds of grain" to be delivered to the facility at the price of $100,000 per day. until february 2017, the supplier provided processed grain which could easily be used in your manufacturing process. however, no longer wanting to absorb the cost of having the grain processed, the supplier began delivering whole grain. the supplier is arguing that the contract does not specify the type of grain that would be supplied and that it has not breached the contract. your company is arguing that the supplier has an onsite processing plant and processed grain was implicit to the terms of the contract. over the remaining term of the contract, reshipping and having the grain processed would cost your company approximately $10,000,000, opposed to a cost of around $1,000,000 to the supplier. after speaking with in-house counsel, it was estimated that litigation would cost the company several million dollars and last for years. weighing the costs of litigation, along with possible ambiguity in the contract, what are three options you could take to resolve the dispute? which would be the best option for your business and why?