Patients with chronic kidney failure may be treated by dialysis, in which a machine removes toxic wastes from the blood, a function normally performed by the kidneys. Kidney failure and dialysis can cause other changes, such as retention of phosphorus, that must be corrected by changes in diet. A study of the nutrition of dialysis patients measured the level of phosphorus in the blood of several patients on six occasions. Here are the data for one patient (in milligrams of phosphorus per deciliter of blood).

The measurements are separated in time and can be considered an SRS of the patient's blood phosphorus level. Assume that this level varies Normally with

σ = 0.8 mg/dl.

(a) Give a 95% confidence interval for the mean blood phosphorus level.

Thorpe and Company is currently an​ all-equity firm. It has three million shares selling for ​$32 per share. Its beta is 0.8​, and the current​ risk-free rate is 2.1​%. The expected return on the market for the coming year is 9.1​%. Thorpe will sell corporate bonds for ​$32,000,000 and retire common stock with the proceeds. The bonds are​ twenty-year semiannual bonds with a 9.4​%coupon rate and ​$1,000 par value. The bonds are currently selling for ​$893.61 per bond. When the bonds are​ sold, the beta of the company will increase to 1.3 What was the WACC of Thorpe and Company before the bond​ sale? What is the adjusted WACC of Thorpe and Company after the bond sale if the corporate tax rate is 15%​? Hint​: The weight of equity before selling the bond is​ 100%.

Company Q’s current return on equity (ROE) is 14%. It pays out one-half of earnings as cash dividends (payout ratio=0.5). The current book value per share is $50. Book value per share will grow as Q reinvests earnings. Assume that the ROE and payout ratio stays constant for the next four years. After that, competition forces ROE down to 11.5% and the payout ratio increases to 0.8. The cost of capital is 11.5%.

1. What are Q’s EPS and dividends next year? How will EPS and dividends grow in years 2, 3, 4, 5, and subsequent years?
2. What is Q’s stock worth per share? How does that value depend on the payout ratio and growth rate after year 4?

3. Suppose that a closed economy could be described by the following set of equations: Production Function: Y = 120K1/3 L2/3

̅̅ Factors of production: K=125; L=1000

̅̅ Government Behavior: G= 3000; T = 2500

Consumption Behavior: C = 400 + 0.8(Y –T)
Investment Behavior: I = 16500 – 1000r
a. Calculate the equilibrium level of output (Y)
b. Prove that the production function has the property of constant returns to scale.

c. Calculate the marginal product of labor (MPL)

d) Calculate the equilibrium levels of the following variables

(i) Consumption (C)

(ii) Private Savings

(iii) Public Savings

(iv) National Savings (S)

(v) real interest rate (r)

Explain and illustrate the impacts that the COVID-19 pandemic and horrendous bushfires of 2019/2020 have had on the Australian economy. You will do so by comparing the three main macro-economic indicators –GDP growth, inflation and unemployment – in June 2020 to a point in time prior to the pandemic and bushfires (pre-July 2019), then you will illustrate and explain the impacts using the AD-AS model. Provide references that support your work and submit your slides and a link to your video for marking.

LAB QUESTION

A rotating cylindrical rod of mass m=4 Kg and length l=1 meter is connected to a falling weight of 300 grams with a 2 meters string (Maximum distance covered by the falling weight). The distance from the wound string to the axis of rotation is 300 mm. The time taken by the falling weight to halfway is 2 seconds and to the bottom is 3.7 seconds.

Change of angular momentum in the spinning rod

1. Calculate the angular momentum of the rod at both the points (halfway and bottom).
2. Explain the difference in the angular momentum at two points.

the mass of block A is 80 kg, the mass of block b is 20 kg, and A is connected to B with the cable and pulley system shown. the pulleys rotate freely, and the cable and pulleys have negligible mass. the coefficient of static fricion between A and the horizontal surface is Ms=0.4, and the coefficient of kinetic friction is Mk=0.3.

a) initially, block A is being held stationary and the system is at rest in static equilibrium . Find tension in the cable(answer: 196.2 N)

b) the system is released from rest. show the colfficient of static friection is not large enough to keep block A from sliding.

c) Find the acceleration of block A and the tension in the cable when block A starts sliding ( answers: aA=0.981 m/s^2 and 156.96 N)

The director of publications for a university is in charge of deciding how many programs to print for football games. Based on the data, the director has estimated the following probability distribution for the random variable X= number of programs sold at the university football game:

X 25,000 40,000 55,000 70,000

P(X) 0.1 0.3 0.45 0.15

a)Compute the expected number of program sold at the university football game.

b)Compute the variance of program sold at the university football game.

c) Each program cost $1.25 to print and sells for $3.25. Any programs left unsold at the end of the game are discarded. The director has decided to print ether 55,000 or 70,000. Which of these two options maximizes the expected profit from program?