Remember, the expected value of a probability distribution is a statistical measure of the average (mean) value expected to occur during all possible circumstances. To compute an asset’s expected return under a range of possible circumstances (or states of nature), multiply the anticipated return expected to result during each state of nature by its probability of occurrence. Consider the following case:

James owns a two-stock portfolio that invests in Blue Llama Mining Company (BLM) and Hungry Whale Electronics (HWE). Three-quarters of James’s portfolio value consists of BLM’s shares, and the balance consists of HWE’s shares.

Each stock’s expected return for the next year will depend on forecasted market conditions. The expected returns from the stocks in different market conditions are detailed in the following table:

Market Condition Probability of Occurrence Blue Llama Mining Hungry Whale Electronics
Strong 0.25 35% 49%
Normal 0.45 21% 28%
Weak 0.3 -28% -35%

Calculate expected returns for the individual stocks in James’s portfolio as well as the expected rate of return of the entire portfolio over the three possible market conditions next year.

a. The expected rate of return on Blue Llama Mining’s stock over the next year is .
b. The expected rate of return on Hungry Whale Electronics’s stock over the next year is .
c. The expected rate of return on James’s portfolio over the next year is .

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Assume that all of thurmond company’s sales are credit sales. it has been the practice of thurmond company to provide for uncollectible accounts expense at the rate of one-half of one percent of net credit sales. for the year 20x1 the company had net credit sales of $2,021,000 and the allowance for doubtful accounts account had a credit balance, before adjustments, of $630 as of december 31, 20x1. during 20x2, the following selected transactions occurred: jan. 20 the account of h. scott, a deceased customer who owed $325, was determined to be uncollectible and was therefore written off. mar. 16 informed that a. nettles, a customer, had been declared bankrupt. his account for $898 was written off. apr. 23 the $906 account of j. kenney & sons was written off as uncollectible. aug. 3 wrote off as uncollectible the $750 account of clarke company. oct. 20 wrote off as uncollectible the $1,130 account of g. michael associates. oct. 27 received a check for $325 from the estate of h. scott. this amount had been written off on january 20 of the current year. dec. 20 cater company paid $7,000 of the $7,500 it owed thurmond company. since cater company was going out of business, the $500 balance it still owed was deemed uncollectible and written off. required: prepare journal entries for the december 31, 20x1, and the seven 20x2 transactions on the work sheets provided at the back of this unit. then answer questions 8 and 9 on the answer sheet. t-accounts are also provided for your use in answering these questions. 8. which one of the following entries should have been made on december 31, 20x1?

You are head of the schwartz family endowment for the arts. you have decided to fund an arts school in the san francisco bay area in perpetuity. every 5 years, you will give the school $ 1 comma 000 comma 000. the first payment will occur 5 years from today. if the interest rate is 5.9 % per year, what is the present value of your gift?