The risk free rate is 5% and the market rate of return is 8%. Stock A has a beta value =0.5.

Required:

(A). Draw the Security Market Line (SML) clearly indicating the risk free asset, market and stock A.[12marks].(B) Stock A beginning price is K50 and during the year paid a dividend of k3 with a maturity value of k55. Show using an empirical evidence weather stock A is undervalued, overvalued of fairly valued.[8marks]

Question-1 Briefly sketch how Bohr derived the Rydberg’s empirical formula for atomic spectra using mix of classical mechanics and some ad hoc quantum assumptions. Indicate which steps in the derivation are motivated by classical mechanics and which are the quantum assumptions.

Question-2 Compute ionization energies of H, He+ and Li++ ions (Essentially all of them are one electron atoms) from ground state. Explain the trend.

The body temperatures of a group of healthy adults have a​ bell-shaped distribution with a mean of 98.08degreesF and a standard deviation of 0.63degreesF. Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 1 standard deviation of the​ mean, or between 97.45degreesF and 98.71degrees​F? b. What is the approximate percentage of healthy adults with body temperatures between 96.19degreesF and 99.97degrees​F?

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 63 ounces and a standard deviation of 5 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule.

a) 99.7% of the widget weights lie between _____ and _____

b) What percentage of the widget weights lie between 53 and 78 ounces? %

c) What percentage of the widget weights lie below 68 ?

1.The yearly salary (in thousands of dollars) for a small company are listed below. Find the mode, mean, median and population standard deviation and use the Empirical Rule to find a 95% confidence interval.

74 46 397 75 98 67 46 96

2. From the Measures of Central Tendencies computed above, which one would you use to represent the “average” company salary. Explain your reasoning.

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 49 ounces and a standard deviation of 7 ounces. Use the Empirical Rule and a sketch of the normal distribution in order to answer these questions.

a) 68% of the widget weights lie between ___ and ____

b) What percentage of the widget weights lie between 28 and 56 ounces?  %

c) What percentage of the widget weights lie above 35 ?  %

Each of the distributions below could be used to model the time spent studying for an exam. Take 1,000 random samples of size 25 from each of the distributions below. In each case (a,b,c), plot the empirical distribution of the sample mean, estimate the mean of the sample mean, and estimate the standard deviation of the sample mean. Compare the results to the theoretical results.

a. N(5, 1.5²)

b. Unif(0,10)

c. Gamma(5,1)

You are the manager responsible for the audit of Aspersion, a limited liability company, which mainly provides national cargo services with a small fleet of aircraft. The draft accounts for the year ended 30 September 2001 show profit before taxation of Kshs2·7 million (2000 ñ Kshs2·2 million) and total assets of Kshs10·4 million (2000 ñ Kshs9·8 million). The following issues are outstanding and have been left for your attention:

(1) The sale of a cargo carrier to Abra, a private limited company, during the year resulted in a loss on disposal of Kshs400,000. The aircraft cost Kshs1·2 million when it was purchased in October 1992 and was being depreciated on a straight-line basis over 20 years. The minutes of the board meeting at which the sale was approved record that Aspersionís finance director, Iain Jolteon, has a 30% equity interest in Abra.                          

(2) As well as cargo carriers, Aspersion owns two light aircraft which were purchased in 1998 to provide business passenger flights to a small island under a three year service contract. It is now known that the contract will not be renewed when it expires at the end of March 2002. The aircraft, which cost Kshs450,000 each, are being depreciated over fifteen years.

(3) Deferred tax amounting to Kshs570,000 as at 30 September 2001 has been calculated relating to tangible non-current assets at a tax rate of 30% using the full provision method (IAS 12 ëIncome Taxesí).   On 1 December 2001, the government announced an increase in the corporate income tax rate to 34%. The directors are proposing to adjust the draft accounts for the further liability arising.                                                                 

Required:

For each of the above points:

(i) Comment on the matters that you should consider; and

(ii) State the audit evidence that you should expect to find, in undertaking your review of the audit working papers and financial statements of Aspersion.                   

Business Problem: A computer company produces laptop and desktop computers. The data analytics team in collaboration with the marketing team developed a predictive model that forecasts the expected demand for laptops to be at least 1,000, and for desktops to be at least 800 per day. (Assumption: production is in accordance with the demand) The production facility has a limited capacity of no more than 2,000 laptops and 1,700 desktops per day. The Sales Department indicates that contractual agreements of at most 2,000 computers per day must be satisfied. Each laptop computer generates $600 net profit and each desktop computer generates $300 net profit. The company wants to determine how many of each type should be made daily to maximize net profits.

2. Formulate a linear programming model that represents the preceding business challenge. b. Identify the decision variables. c. What is our objective function in terms of these decision variables, write down its mathematical equation) d. What are the constraints for this problem, write down their respective mathematical equations.

b) Decision Variables: X (laptop) & Y (desktop) # of units to produce for laptop & desktop a day

c) Objective function: Maximize the profit

Max profit Z = 600x + 300y

d) Constraints:

Expected demand x=>1000 and y=>800

Production capacity x<=2000, y<=1700

Contractual agreements x + y <=2000      non negative restrictions x=>0 and y=>0

NEED HELP WITH IpsolveAPI Library in R

3. Solve the problem using lpSolveAPI library in R to come up with the most optimum solution of this problem a. Write down R program to get the most optimal solution b. What is the optimal number of laptop and desktop computers to be made each day? c. What is the value of the objective function (total net profit) for the solution?

install.packages('lpSolveAPI')

library(lpSolveAPI)

lprec <- make.lp(0,2)

lp.control(lprec,sense="max")

set.objfn(lprec,c(600,300))

Choose a clinical topic and design a search strategy for searching an online database such as CINAHL or MEDLINE. Reflect on your search strategy, for example, what search terms did you initially use, what new terms did you discover as you searched, how did you limit/refine your search?