1. What is the standard deviation and mean returns for an equal weighted portfolio that consists stocks X,Y,Z(equally weighted). Use the data given below.

2. A bond has a face value of $1000 with a time to maturity ten years from now. The yield to maturity of the bond now is 10%.  What is the price today if pays 8% coupon rate semi-annually?

Mass of dry soil in a metal sampling ring = 77g

Volume of sampling ring = 59cm3

Question 1: What is the Soil Bulk Density?

Given

A contaminant is present on a 1 hectare area down to 10 cm

Question 2: Using the bulk density calculated above, figure the dry weight of soil present over the contaminated area

Given

It rains before you are able to excavate the contaminated soil. The volumetric water content is measured to be 0.2 (20%)

Question 3: How many liters of water is present in the contaminated soil volume? How much does this water weigh?

One random sample of the hours of one type of user watch TV per day was recorded: 2.9, 3.5, 3, 3.2, 3.3, 3.5, 3.3, 3, 3.5.

1. Apply the backward empirical rule to check normality of the data, and conclude if any evidence of non-normality.

2. Assume that the underlying population is normal. Find a two-sided 99% confidence interval for the the true population average hours.

3. Assume that population variance ?2=0.09σ2=0.09 and the bound on the error of estimation of 99% confident interval to be 0.2. Find the minimum sample size ?n.

A large stream with a velocity of 0.85 m/s, saturated with oxygen, has a reoxygenation constant k2 = 0.4 day−1 and a temperature of T = 12oC, with an ultimate BOD = 13.6 mg/L and a flow rate Q = 2.2 m3 /s. Into this stream flows a wastewater stream with a flow rate of 0.5 m3/s, T = 26oC, L = 220 mg/L and oxygen level = 1.5 mg/L. Downstream the deoxygenation constant is k1 = 0.2 day−1 .

a) What is the dissolved oxygen 48.3 km downstream?

b) What will be the minimum dissolved oxygen? And at what distance from the outfall?

The Gap is considering 3 options for managing its data processing operations: continue with its own staff, hire an outside vendor to do the managing (outsourcing), or use a combination of its own staff and an outside vendor. The cost of operation depends on future processing demand.

(e) Suppose the probability demand will be high is 0.2 but the other probabilities are unknown. Determine the range of the probability of the demand being medium for which it is best for the GAP to outsource.

Q84

A private health-care clinic has been offered a leasing deal where it could lease a CAT scanner at a fixed charge of $2,000 per month and a charge per patient of $6 per patient scanned. The clinic currently charges $10 per patient for taking a scan. (a) At what level of demand (in number of patients per week) will the clinic break even on the cost of leasing the CAT scan? (b) Would a revised lease that stipulated a fixed cost of $3,000 per week and a variable cost of $0.2 per patient be a better deal? [3 Marks]

Tony’s Gelati has the following capital structure: $100 Million in debt with a beta of 0; $40 Million of Preferred Stock with beta 0.2; and $200 Million of common stock with beta 1.2.

a) What is the firm’s asset beta?

b) How would the asset beta change if Tony issued an additional $140 Million of common stock and used the cash to repurchase all the debt and preferred stock?

c) Assuming CAPM, what discount rate should we use for investments that expand the scale of operations without changing the asset beta? Assume a risk premium of 8.6 and a treasury rate of 5.

Expected return

A stock's returns have the following distribution:

1. Calculate the stock's expected return. Round your answer to two decimal places.
   %

2. Calculate the stock's standard deviation. Do not round intermediate calculations. Round your answer to two decimal places.
   %

3. Calculate the stock's coefficient of variation. Round your answer to two decimal places.

Students have an average GPA of 2.78 with a standard deviation of 0.45.

You have been tasked by the university president to select a random sample of students, and to conduct in-depth interviews with them about how their academics were impacted by COVID-19. We would like the random students that you select to be representative of the entire student body, and therefore the GPA of your sample should be within 0.2 grade points of the population mean.

How many students should you randomly select for interviews if you want to be 99% sure that the mean GPA of your interviewees is between 2.58 and 2.98?