Suppose that you have built a simple portfolio based on allocating 70% of your funds in a mix of S&P 500 index shares and the remaining 30% of your funds in a mix of utility sector shares. If we denote the monthly return for S&P 500 index by X and the monthly return for utility index by Y , then the portfolio monthly return variable will be R = 0.7X + 0.3Y.

(a) Knowing that ??= 0.298%, ??= 0.675%, ??= 4.453%, ??= 4.403% and the correlation between X and Y is corr(X; Y ) = ??? = 0.495, compute the expected monthly return on your portfolio and the variability in your portfolio's monthly return as measured by its variance and standard deviation.

(b) Recalculate the variance and standard deviation of the return on your portfolio knowing that the two variables are uncorrelated.

(c) Compute the variance and standard deviation of the return on your portfolio knowing that the two variables are perfectly positively correlated.

(d) Compute the variance and standard deviation of the return on your portfolio knowing that the two variables are perfectly negatively correlated.

(e) Suppose you do not know the exact mean returns for your variables X and Y and based on a year's worth of previous data, somebody estimated for you a 95% confidence interval for the mean return of your portfolio. The reported interval is [0.377%; 0.453%]. Based on this information is it true that P(?? ∈ [0.377%; 0.453%]) = 0.95. Explain.

A calculation engine is being built to set up an order-of-operations for solving equations. The priority of the operations is as follows:

1. Parentheses, Priority 1 highest

2. Exponents, Priority 2

3. Multiplication, Priority 3

4. Division, also Priority 3

5. Modulus, also Priority 3

6. Addition, Priority 4, Lowest

7. Subtraction, Also priority 4

Each of bulleted items in the list above is represented by a one-bit input wire in a control circuit system, for a total of 7 inputs. The outputs are binary integers 1 through 4.

Use combinational logic and gate logic to create a piece of control circuitry that will assign the correct 2-bit binary integer based on the system priority. The output should be the highest priority among the inputs.

Include a short, well-written description about the approach you chose. Do not include a 128-line truth table. If you use this approach, you are going about it the wrong way. Remember: Divide and Conquer!

the final set of outputs on question 4.4 would be in the form of {001,010,011,100}.

Suppose a statistician built a multiple regression model for predicting the total number of runs scored by a baseball team during a season. Using data for n=200 samples, the results below were obtained. Complete parts a through d.

a. Write the least squares prediction equation for y= total number of runs scored by a team in a season.

y=(3.88)+(0.37)X1+(0.51)X2+(0.74) X3+(1.17).X4+(1.44) X5. CORRECT ANSWERS (Type integers or decimals.)

b. Interpret, practically, β0 and β1 in the model. Which statement below best interprets β0?

A. For a change of β0 in any variable, the runs scored increases by 1.

B. For a decrease of 1 in any variable, the runs scored changes by β0.

C. For an increase of 1 in any variable, the runs scored changes by β0.

D. For a change of β0 in any variable, the runs scored decreases by 1.

E. This parameter does not have a practical interpretation. Your answer is correct.

Which statement below best interprets β1?

A. For an increase of 1 in the number of walks, the runs scored changes by β1.

B. For a change of β1 in the number of walks, the runs scored increases by 1.

C. For a decrease of 1 in the number of walks, the runs scored changes by β1.

D. For a change of β1in the number of walks, the runs scored decreases by 1.

E. This parameter does not have a practical interpretation.

Is more than one shape possible for the caproic acid molecule? If you built a model of stearic acid by extending the carbon chain of caproic acid to18 carbons, would it have more, less, or the same number of possible shapes as the number of shapes for caproic acid? Can you write a general rule that relates the length of a fatty acid chain (carbon skeleton, backbone) to the number of shapes possible?

Unrelated but... Do the open chain and closed ring forms of glucose have the same molecular weight?

Suppose your company has built a database application that runs on a centralized database, but even with a high-end computer and appropriate indices created on the data, the system is not able to handle the transaction load, leading to slow processing of queries. What would be some of your options to allow the application to handle the transaction load?

Jet Li Berhad (JLB) has built an offshore wind farm with the purpose of testing the efficiency of its prototype wind turbines. JLB has applied to the authority for approval for production of its new prototype but has only received permission to test the prototype wind turbine. The wind farm development will enable JLB to test the reliability of the new wind turbines which should assist in developing more efficient and cost effective offshore wind turbines but as yet, there has not been any commercial production of the prototype wind turbines as there is still some slight doubt over the durability of the wind turbine in extreme weather conditions. The renewable energy generated during the testing phase of the wind turbines is sold to the national regulator of electricity. There is sufficient resource to complete the wind farm project but the energy income has not been included in management’s resource planning. The Board of Directors of JLB wishes to know how the expenditure on the wind farm and the income from the sale of energy should be treated in the financial statements.

Required :

As the accountant of Jet Li Berhad, advise the Board of Directors regarding the recognition of development costs and the income from the sale of energy in the financial statements in accordance to MFRS 138 Intangible Assets.

A manufacturer of aluminium cabinets (built-in cabinets in vehicles) delivers 50 cabinets per day to a customer. The fluctuation is 25 pieces per week. The customer demand must be 100% fulfilled.
The processing time per cabinet is 20 minutes in machining (3-shift operation possible), 24 h for 55 cabinets in coating (incl. drying time) and 0.5 h in assembly incl. quality inspection. In assembly up to 4 workstations can work in parallel. After assembly there is a buffer of up to 25 cabinets. A buffer of one daily quantity should be available before each processing step. One cabinet per day is sorted out due to quality defects in assembly. There are no other quality problems.
There is space on a load carrier for the parts of up to 15 cabinets (without necessary C parts). The load carriers are loaded after machining and then serve as load carriers until assembly.
For your calculations, assume 20 working days / 4 weeks per month and an equally distributed working time of 40h/week.
a) How many Kanban are needed for the system?
b) What is the maximum stock in circulation?
c) How would you provide standard parts, e.g. screws and hinges (classified as CXK in the supply concept) in the assembly? Explain your decision.

1. A column with 7 m high and 397 mm X 488 mm masonry is built with 25.8 Mpa CMUs in M mortar, with four vertical bars, Fy = 414 MPa, placed in grout with the same strength of the CMUs.

   The column is designed to carry 1000 KN axial compression forces.

   a) Find the minimum steel reinforcement and the bars diameters

   As min = 0.0025 Ag,                          0.0025 An < As < .04 An

   b) Calculate the allowable axial load

   Pa=(0.25fm'An+0.65 As Fs) 1-h140 r2

   Fs=0.4 Fy   ≤24,000 psi 165.6 Mpa , As M13 = 129 mm2

2. c) Determine the required ties and the spacing
3. d) Is the column designed in 6-b can carry an axial compression load of 1200 KN, Explain?

1. Explain and show how the full Keynesian sticky wage model is built. What are the main relationships? Explain briefly what each curve depicts.

2. Imagine that the economy starts off in a situation where the labor market clears. The economy is hit by a shock that reduces consumption demand temporarily. (See e.g. Figure 3.) Show the effects of the shock using graphs. Explain every shift of a curve. What are the effects on the interest rate, consumption, investment, output, the price level, the real wage and employment?

3. Do these effects fit the business cycle facts?

4. What would happen if the nominal wage adjusted in response to the shock? (Assume for this that wage adjustment is faster than the return of consumption demand to its initial level, i.e. maintain consumption demand at its low level induced by the shock here).

5. Using graphs, illustrate how fiscal policy could be used to counteract the effect of the shock. (Assume that the nominal wage remains at its initial level.)

6. Show, using graphs, the effects of the same shock in an economy where the nominal wage is flexible. How do the interest rate, output, the price level, the real wage and employment change?

7. How do these changes compare to those in a) the short run and b) the long run of the Keynesian model?