Explain the difference between a four firm concentration ratio, a Herfindahl-Hirschman Index, a Lerner index, and a Rothschild index.

Based on the information given below, indicate for each of the following, whether the industry is best characterized by the model of perfect competition, monopoly, monopolistic competition, or oligopoly.

a) Industry A has a four-firm concentration ratio of 0.005% and an HHI of 75. A representative firm has a Lerner index of 0.45 and a Rothschild index of 0.34.

b) Industry B has a four-firm concentration ratio of 0.0001% and an HHI of 55. A representative firm has a Lerner index of 0.0034 and a Rothschild index of 0.00023.

c) Industry C has a four-firm concentration ratio of 100 % and an HHI of 10,000. A representative firm has a Lerner index of 0.4 and a Rothschild index of 1.0.

d) Industry D has a four-firm concentration ratio of 100% and an HHI of 5,573. A representative firm has a Lerner index of 0.43 and a Rothschild index of 0.76.

i: A hydraulic shovel with a bottom-dump bucket with a heaped bucket volume of 5 m³ is excavating tough clay. The swing angle is 47 degrees and the job efficiency is 0.86. Calculate the shovel production in BCM

ii: Estimate the time required to load 452 m³ of gravel from a stockpile into trucks using a clamshell having a heaped bucket capacity of 0.57 m³. The estimated cycle time is 20s. Swing depth factor = 1.0. Job efficiency is estimated to be 51min/h.

iii: A small hydraulic excavator will be used to dig a trench in hard clay. The trench size is 0.76 m wide by 1.52m deep. The excavator bucket available is 0.76 m wide and has a heaped capacity of 0.51m³. The maximum digging depth of the excavator is 4.90 m. The average swing angle is expected to be 75° and the job efficiency is 71 %. Estimate the hourly trench production in BCM and in linear meters of a trench.

A site investigation was conducted to determine the suitability of the material from a borrow pit for a gravel road construction. A 174.33 mm (internal diameter) thin-walled sampling tube was pushed into the bottom of a trial pit and a 218.72 mm long undisturbed specimen, weighing 4802.9 g, was obtained. When dried in the oven, the specimen weighed 4382.99 g. The specific gravity of the soil grains was measured and found to be Gs = 2.66, Determine the following:

the total volume of the soil
the volume of the solids
the volume of water
the volume of voids
the volume of air
the total mass of the soil
the mass of the solids
the mass of water
find the void ratio,
water content,
degree of saturation,
bulk density
and dry density.
The order in which you determine these variables is up to you. You will be writing down your answers in the following 13 questions (one variable at a time).

Use units of Mg for masses and m for lengths.

You may take the density of water to be 1.0 Mg.m3

You are buying a house and the mortgage company offers to let you pay a​ "point"

​(1.0 %

of the total amount of the​ loan) to reduce your APR from

6.46 %

to

6.21 %

on your

$ 403 comma 000

​,

30

​-year

mortgage with monthly payments. If you plan to be in the house for at least five​ years, should you do​ it? ​(Note: Be careful not to round any intermediate steps less than six decimal​ places.)

The monthly mortgage payment at 6.46% APR is:

The monthly mortgage payment at 6.21% APR is:

The lower interest rate on the mortgage results in monthly savings of:

The PV of the monthly savings is:

The balance of the mortgage at the end of five years at 6.46% APR is:

The balance of the mortgage at the end of five years at 6.21% APR is:

The principle reduction due to the lower interest rate is:

The PV of the principle reduction is:

The net benefit or cost is:

The net benefit is (positive or negative); therefore, you (should or should not) pay the point.

Assume that security returns are generated by the single-index model, Ri = αi + βiRM + ei where Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 0.8 10 % 25 % B 1.0 12 10 C 1.2 14 20

a. If σM = 20%, calculate the variance of returns of securities A, B, and C. (Do not round intermediate calculations. Round your answers to the nearest whole number.)

b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)

In this assignment, you implement a 2D-matrix as a vector of vectors, and only use at() to access its elements.

Write a program that multiplies a 2D matrix with a vector. If you need to see the math, follow this link: https://mathinsight.org/matrix_vector_multiplication (Links to an external site.)

For simplicity, our matrix will be of size 3 x 3. Initialize the matrix as shown in to become

[1.0, 2.0, 3.0]

[4.0 ,5.0 ,6.0]

[7.0, 8.0, 9.0]

Read the three values of the vector to be multiplied on the right of the matrix from the user input. Then, multiply it and print the resulting vector to cout. The interaction should look like this:

Please enter the three vector coefficients

1 1 1

The result vector is [6, 15, 24]

Write a function that takes the matrix and the right-side vector as parameters and that returns the vector resulting from the multiplication.

The program must not use arrays, only vectors.

this program should be programmed using c++ only

Assume that stock market returns have the market index as a common factor, and that all stocks in the economy have a beta of 1.8 on the market index. Firm-specific returns all have a standard deviation of 35%.

Suppose that an analyst studies 20 stocks and finds that one-half of them have an alpha of +2.6%, and the other half have an alpha of −2.6%. Suppose the analyst invests $1.0 million in an equally weighted portfolio of the positive alpha stocks, and shorts $1 million of an equally weighted portfolio of the negative alpha stocks.

a. What is the expected profit (in dollars) and standard deviation of the analyst’s profit? (Do not round intermediate calculations. Round your answers to the nearest whole dollar amount.)

b. How does your answer change if the analyst examines 40 stocks instead of 20 stocks? 80 stocks? (Do not round intermediate calculations. Round your answers to the nearest whole dollar amount.)

Assume that security returns are generated by the single-index model, Ri = αi + βiRM + ei where Ri is the excess return for security i and RM is the market’s excess return. The risk-free rate is 2%. Suppose also that there are three securities A, B, and C, characterized by the following data: Security βi E(Ri) σ(ei) A 0.8 10 % 25 % B 1.0 12 10 C 1.2 14 20 a. If σM = 20%, calculate the variance of returns of securities A, B, and C. (Do not round intermediate calculations. Round your answers to the nearest whole number.) b. Now assume that there are an infinite number of assets with return characteristics identical to those of A, B, and C, respectively. What will be the mean and variance of excess returns for securities A, B, and C? (Enter the variance answers as a percent squared and mean as a percentage. Do not round intermediate calculations. Round your answers to the nearest whole number.)

Kahn Inc. has a target capital structure of 55% common equity and 45% debt to fund its $10 billion in operating assets. Furthermore, Kahn Inc. has a WACC of 15%, a before-tax cost of debt of 11%, and a tax rate of 25%. The company's retained earnings are adequate to provide the common equity portion of its capital budget. Its expected dividend next year (D1) is $2, and the current stock price is $32. What is the company's expected growth rate? Do not round intermediate calculations. Round your answer to two decimal places. % If the firm's net income is expected to be $1.0 billion, what portion of its net income is the firm expected to pay out as dividends? Do not round intermediate calculations. Round your answer to two decimal places. (Hint: Refer to Equation below.) Growth rate = (1 - Payout ratio)ROE %

Assume that stock market returns have the market index as a common factor, and that all stocks in the economy have a beta of 1.2 on the market index. Firm-specific returns all have a standard deviation of 25%.

Suppose that an analyst studies 20 stocks and finds that one-half of them have an alpha of +1.6%, and the other half have an alpha of −1.6%. Suppose the analyst invests $1.0 million in an equally weighted portfolio of the positive alpha stocks, and shorts $1 million of an equally weighted portfolio of the negative alpha stocks.

a. What is the expected profit (in dollars) and standard deviation of the analyst’s profit? (Do not round intermediate calculations. Round your answers to the nearest whole dollar amount.)

b. How does your answer change if the analyst examines 50 stocks instead of 20 stocks? 100 stocks? (Do not round intermediate calculations. Round your answers to the nearest whole dollar amount.)