Assume that an individual can either invest all of his resources in one of the two securities, A or B; or, alternatively, he can diversify his investment between the two. The distributions of the returns are as follows: Security A Security B

Return Probability Return Probability

-10 1/2 -20 1/2

50 1/2 60 1/2

Assume that the correlation between the returns from the two securities is zero, and answer the following questions:

1) Calculate each security's expected return, variance and standard deviation.

2) Calculate the probability distribution of the returns on a mixed portfolio comprised of equal proportions of securities A and B, i. e. calculate all possible returns on this portfolio and the probability of each one.[1]

3) Also calculate the portfolio's expected return, variance and standard deviation.

4) Calculate the expected return and the variance of a mixed portfolio comprised of 75% of security A and 25% of security B.

Please show formulas

[1] In the case of the two independently distributed returns the joint probability that the return on A is x% and the return on B is y% at the same time is the product of marginal probabilities. That is .

(4 points) suppose the production function in the solow model is given by yt = ak¯ 3/4 t l 1/4 t . (a) what are the five equations and five unknowns that summarize the solow model? (b) show the transition dynamics in the solow model if ¯sy0 < ¯dk0. make sure you label the axes, curves, initial level of capital and steady-state level of capital. (c) solve for capital, output, capital per person, and output per person in the steady state. (d) if a¯ = 2, l¯ = 4, ¯s = 0.2, and ¯d = 0.05, calculate the steady-state level of capital and output per person.

Prepare journal entries for each transaction and identify the financial statement impact of each entry. the financial statements are automatically generated based on the journal entries recorded. apr. 1 tanner invested $80,000 cash along with office equipment valued at $26,000 in the company in exchange for common stock.apr. 2 the company prepaid $9,000 cash for 12 months' rent for office space. the company's policy is record prepaid expenses in balance sheet accounts.apr. 3 the company made credit purchases for $8,000 in office equipment and $3,600 in office supplies. payment is due within 10 days.apr. 6 the company completed services for a client and immediately received $4,000 cash.apr. 9 the company completed a $6,000 project for a client, who must pay within 30 days.apr. 13 the company paid $11,600 cash to settle the account payable created on april 3.apr. 19 the company paid $2,400 cash for the premium on a 12-month insurance policy. the company's policy is record prepaid expenses in balance sheet accounts.apr. 22 the company received $4,400 cash as partial payment for the work completed on april 9.apr. 25 the company completed work for another client for $2,890 on credit.apr. 28 the company paid $5,500 cash in dividends.apr. 29 the company purchased $600 of additional office supplies on credit.apr. 30 the company paid $435 cash for this month's utility bill.

Laurelton heating & cooling installs and services commercial heating and cooling systems. laurelton uses job costing to calculate the cost of its jobs. overhead is allocated to each job based on the number of direct labor hours spent on that job. at the beginning of the current year, laurelton estimated that its overhead for the coming year would be $ 61 comma 500. it also anticipated using 4 comma 100 direct labor hours for the year. in april comma laurelton started and completed the following two jobs: (click the icon to view the jobs.) laurelton paid a $ 20-per-hour wage rate to the employees who worked on these two jobs. read the requirements requirement 1. what is laurelton's predetermined overhead rate based on direct labor hours? determine the formula to calculate laurelton's predetermined overhead rate based on direct labor hours, then calculate the rate. / = predetermined overhead rate