HUMBEHV 3HB3 Lecture Notes - Lecture 5: Mathematical Notation, Sampling Distribution, Categorical Variable

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11 Sep 2018

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It can be manipulated like the mean can. If you do a sampling distribution, in many situations, the mean will be stable from one sample to the next than others. It is the least resistant to extreme scores. the mean mode and median. It enters readily into algebraic equations: the variation between sample is more stable, we are assuming that averaging the data makes sense, but it may not make sense if they are. It is less robust to extreme values, the value may not actually exist in the data. categorical data. Summation notation: sigma is also called the summation sign, you are summing up all the scores, brackets change the order. It is used in the mean, this is the average. It is not used a lot but they are more robust than the usual mean. Part 2 measures of variability: focus on summarizing a distributions dispersion or variability.

Related Questions

QUESTION 1

In the lease versus buy decision, leasing is often preferable

	A.	because the lessee owns the property at the end of the least term.
	B.	because lease obligations do not affect the firm's risk as seen by investors.
	C.	because, generally, no down payment is required, and there are no indirect interest costs.
	D.	because it has no effect on the firm's ability to borrow to make other investments.
	E.	because the lessee may have greater flexibility in abandoning the project in which the leased property is used than if the lessee bought and owned the asset.

2 points

QUESTION 2

The tighter the probability distribution of its expected future returns, the greater the risk of a given investment as measured by its standard deviation.

True

False

2 points

QUESTION 3

Ratio analysis involves analyzing financial statements in order to appraise a firm's financial position and strength.

True

False

2 points

QUESTION 4

Which of the following statements is CORRECT?

	A.	If the returns on two stocks are perfectly positively correlated (i.e., the correlation coefficient is +1.0) and these stocks have identical standard deviations, an equally weighted portfolio of the two stocks will have a standard deviation that is less than that of the individual stocks.
	B.	If a stock has a negative beta, its expected return must be negative.
	C.	A portfolio with a large number of randomly selected stocks would have less market risk than a single stock that has a beta of 0.5.
	D.	According to the CAPM, stocks with higher standard deviations of returns must also have higher expected returns.
	E.	A portfolio with a large number of randomly selected stocks would have more market risk than a single stock that has a beta of 0.5, assuming that the stock's beta was correctly calculated and is stable.

2 points

QUESTION 5

Many leases written today combine the features of operating and financial leases. Such leases are often called "combination leases."

True

False

2 points

QUESTION 6

The owner of a convertible bond owns, in effect, both a bond and a call option.

True

False

2 points

QUESTION 7

If a firm raises capital by selling new bonds, it is called the "issuing firm," and the coupon rate is generally set equal to the required rate on bonds of equal risk.

True

False

2 points

QUESTION 8

Which of the following statements is most CORRECT?

	A.	Warrants can sometimes be detached and traded separately from the debt with which they were issued, but this is unusual.
	B.	One important difference between warrants and convertibles is that convertibles bring in additional funds when they are converted, but exercising warrants does not bring in any additional funds.
	C.	The coupon rate on convertible debt is normally set below the coupon rate that would be set on otherwise similar straight debt even though investing in convertibles is more risky than investing in straight debt.
	D.	Warrants have an option feature but convertibles do not.
	E.	The value of a warrant to buy a safe, stable stock should exceed the value of a warrant to buy a risky, volatile stock, other things held constant.

2 points

QUESTION 9

Because of improvements in forecasting techniques, estimating the cash flows associated with a project has become the easiest step in the capital budgeting process.

True

False

2 points

QUESTION 10

The form of organization for a business is not an important issue, as this decision has very little effect on the income and wealth of the firm's owners.

True

False

2 points

QUESTION 11

Two important issues in corporate governance are (1) the rules that cover the board's ability to fire the CEO and (2) the rules that cover the CEO's ability to remove members of the board.

True

False

2 points

QUESTION 12

The "preferred" feature of preferred stock means that it normally will provide a higher expected return than will common stock.

True

False

2 points

QUESTION 13

If an investment project would make use of land which the firm currently owns, the project should be charged with the opportunity cost of the land.

True

False

2 points

QUESTION 14

Operating leases help to shift the risk of obsolescence from the user to the lessor.

True

False

2 points

QUESTION 15

Starting to invest early for retirement increases the benefits of compound interest.

True

False

2 points

QUESTION 16

Market risk refers to the tendency of a stock to move with the general stock market. A stock with above-average market risk will tend to be more volatile than an average stock, and its beta will be greater than 1.0.

True

False

2 points

QUESTION 17

Other things held constant, an increase in the cost of capital will result in a decrease in a project's IRR.

True

False

2 points

QUESTION 18

An option is a contract that gives its holder the right to buy or sell an asset at a predetermined price within a specified period of time.

True

False

2 points

QUESTION 19

The optimal distribution policy strikes that balance between current dividends and capital gains that maximizes the firm's stock price.

True

False

2 points

QUESTION 20

If the current price of a stock is below the strike price, then an option to buy the stock is worthless and will have a zero value.

True

False

2 points

QUESTION 21

The desire for floating-rate bonds, and consequently their increased usage, arose out of the experience of the early 1980s, when inflation pushed interest rates up to very high levels and thus caused sharp declines in the prices of outstanding bonds.

True

False

2 points

QUESTION 22

Taylor Inc. estimates that its average-risk projects have a WACC of 10%, its below-average risk projects have a WACC of 8%, and its above-average risk projects have a WACC of 12%. Which of the following projects (A, B, and C) should the company accept?

	A.	Project C, which is of above-average risk and has a return of 11%.
	B.	Project A, which is of average risk and has a return of 9%.
	C.	None of the projects should be accepted.
	D.	All of the projects should be accepted.
	E.	Project B, which is of below-average risk and has a return of 8.5%.

2 points

QUESTION 23

To finance the construction of a new plant, Pietersen Corporation must raise an additional $10,000,000 of equity capital through the sale of common stock. The firm currently has an EPS of $5.40 and a P/E ratio of 10, with 1,200,000 shares outstanding. If the firm wants its ex-rights price to be $50, what subscription price must it set on the new shares?

	A.	$39.28
	B.	$50.00
	C.	$29.55
	D.	$41.80
	E.	$33.78

2 points

QUESTION 24

Which of the following statements is CORRECT, assuming positive interest rates and holding other things constant?

	A.	A 30-year, $150,000 amortized mortgage will have larger monthly payments than an otherwise similar 20-year mortgage.
	B.	A bank loan's nominal interest rate will always be equal to or less than its effective annual rate.
	C.	The present value of a 5-year, $250 annuity due will be lower than the PV of a similar ordinary annuity.
	D.	If an investment pays 10% interest, compounded annually, its effective annual rate will be less than 10%.
	E.	Banks A and B offer the same nominal annual rate of interest, but A pays interest quarterly and B pays semiannually. Deposits in Bank B will provide the higher future value if you leave your funds on deposit.

2 points

QUESTION 25

Which of the following statements is CORRECT?

	A.	In the statement of cash flows, a decrease in inventories is reported as a use of cash.
	B.	In the statement of cash flows, a decrease in accounts receivable is reported as a use of cash.
	C.	In the statement of cash flows, depreciation charges are reported as a use of cash.
	D.	In the statement of cash flows, a decrease in accounts payable is reported as a use of cash.
	E.	Dividends do not show up in the statement of cash flows because dividends are considered to be a financing activity, not an operating activity.

2 points

QUESTION 26

The term "additional funds needed (AFN)" is generally defined as follows:

	A.	A forecasting approach in which the forecasted percentage of sales for each balance sheet account is held constant.
	B.	Funds that are obtained automatically from routine business transactions.
	C.	Funds that a firm must raise externally from non-spontaneous sources, i.e., by borrowing or by selling new stock to support operations.
	D.	The amount of internally generated cash in a given year minus the amount of cash needed to acquire the new assets needed to support growth.
	E.	The amount of assets required per dollar of sales.

2 points

QUESTION 27

The cash flows associated with common stock are more difficult to estimate than those related to bonds because stock has a residual claim against the company versus a contractual obligation for a bond.

True

False

2 points

QUESTION 28

Which of the following statements is CORRECT?

	A.	The NPV method automatically deals correctly with externalities, even if the externalities are not specifically identified, but the IRR method does not. This is another reason to favor the NPV.
	B.	Identifying an externality can never lead to an increase in the calculated NPV.
	C.	Both the NPV and IRR methods deal correctly with externalities, even if the externalities are not specifically identified. However, the payback method does not.
	D.	An example of an externality is a situation where a bank opens a new office, and that new office causes deposits in the bank's other offices to increase.
	E.	An externality is a situation where a project would have an adverse effect on some other part of the firm's overall operations. If the project would have a favorable effect on other operations, then this is not an externality.

2 points

QUESTION 29

Time lines can be constructed in situations where some of the cash flows occur annually but others occur quarterly.

True

False

2 points

QUESTION 30

A warrant is an option, and as such it cannot be used as a "sweetener."

True

False

2 points

QUESTION 31

BLW Corporation is considering the terms to be set on the options it plans to issue to its executives. Which of the following actions would decrease the value of the options, other things held constant?

	A.	The life of the option is increased, i.e., the time until it expires is lengthened.
	B.	The exercise price of the option is increased.
	C.	The Federal Reserve takes actions that increase the risk-free rate.
	D.	BLW's stock price becomes more risky (higher variance).
	E.	BLW's stock price suddenly increases.

2 points

QUESTION 32

Convertible debentures for Kulik Corporation were issued at their $1,000 par value in 2012. At any time prior to maturity on February 1, 2032, a debenture holder can exchange a bond for 25 shares of common stock. What is the conversion price, Pc?

	A.	$48.62
	B.	$40.00
	C.	$42.00
	D.	$46.31
	E.	$44.10

2 points

QUESTION 33

A stock is expected to pay a dividend of $0.75 at the end of the year. The required rate of return is rs = 10.5%, and the expected constant growth rate is g = 6.4%. What is the stock's current price?

	A.	$18.29
	B.	$17.39
	C.	$19.22
	D.	$18.75
	E.	$17.84

2 points

QUESTION 34

If a firm's goal is to maximize its earnings per share, this is the best way to maximize the price of the common stock and thus shareholders' wealth.

True

False

2 points

QUESTION 35

The common stock of Southern Airlines currently sells for $33, and its 8% convertible debentures (issued at par, or $1,000) sell for $850. Each debenture can be converted into 25 shares of common stock at any time before 2025. What is the conversion value of the bond?

	A.	$783.75
	B.	$744.56
	C.	$825.00
	D.	$866.25
	E.	$707.33

2 points

QUESTION 36

Which of the following statements is CORRECT?

	A.	If interest rates increase, the price of a 10-year coupon bond will decline by a greater percentage than the price of a 10-year zero coupon bond.
	B.	If a bond's yield to maturity exceeds its annual coupon, then the bond will trade at a premium.
	C.	If a coupon bond is selling at par, its current yield equals its yield to maturity.
	D.	If a coupon bond is selling at a premium, its current yield equals its yield to maturity.
	E.	If a coupon bond is selling at a discount, its price will continue to decline until it reaches its par value at maturity.

2 points

QUESTION 37

A proxy is a document giving one party the authority to act for another party, including the power to vote shares of common stock. Proxies can be important tools relating to control of firms.

True

False

2 points

QUESTION 38

Projects S and L are equally risky, mutually exclusive, and have normal cash flows. Project S has an IRR of 15%, while Project L's IRR is 12%. The two projects have the same NPV when the WACC is 7%. Which of the following statements is CORRECT?

	A.	Project S's NPV is more sensitive to changes in WACC than Project L's.
	B.	If the WACC is 13%, Project S will have the lower NPV.
	C.	If the WACC is 6%, Project S will have the higher NPV.
	D.	If the WACC is 10%, both projects will have positive NPVs.
	E.	If the WACC is 10%, both projects will have a negative NPV.

2 points

QUESTION 39

A firm's AFN must come from external sources. Typical sources include short-term bank loans, long-term bonds, preferred stock, and common stock.

True

False

2 points

QUESTION 40

Which of the following could explain why a business might choose to operate as a corporation rather than as a sole proprietorship or a partnership?

	A.	Less of a corporation's income is generally subjected to taxes than would be true if the firm were a partnership.
	B.	Corporate shareholders escape liability for the firm's debts, but this factor may be offset by the tax disadvantages of the corporate form of organization.
	C.	Corporations generally find it relatively difficult to raise large amounts of capital.
	D.	Corporations generally face relatively few regulations.
	E.	Corporate investors are exposed to unlimited liability.

2 points

QUESTION 41

The cost of debt is equal to one minus the marginal tax rate multiplied by the average coupon rate on all outstanding debt.

True

False

2 points

QUESTION 42

Amram Company's current ratio is 1.9. Considered alone, which of the following actions would reduce the company's current ratio?

	A.	Use cash to reduce accruals.
	B.	Borrow using short-term notes payable and use the proceeds to reduce long-term debt.
	C.	Use cash to reduce accounts payable.
	D.	Borrow using short-term notes payable and use the proceeds to reduce accruals.
	E.	Use cash to reduce short-term notes payable.

2 points

QUESTION 43

ESOPs were originally designed to help improve worker productivity, but today they are also used to help prevent hostile takeovers.

True

False

2 points

QUESTION 44

High current and quick ratios always indicate that a firm is managing its liquidity position well.

True

False

2 points

QUESTION 45

A firm should never accept a project if its acceptance would lead to an increase in the firm's cost of capital (its WACC).

True

False

2 points

QUESTION 46

"Capital" is sometimes defined as funds supplied to a firm by investors.

True

False

2 points

QUESTION 47

Heavy use of off-balance sheet lease financing will tend to

	A.	affect a company's cash flows but not its degree of risk.
	B.	make a company appear less risky than it actually is because its stated debt ratio will appear lower.
	C.	make a company appear more risky than it actually is because its stated debt ratio will be increased.
	D.	affect the lessee's cash flows but only due to tax effects.
	E.	have no effect on either cash flows or risk because the cash flows are already reflected in the income statement.

2 points

QUESTION 48

As a firm's sales grow, its current assets also tend to increase. For instance, as sales increase, the firm's inventories generally increase, and purchases of inventories result in more accounts payable. Thus, spontaneous liabilities that reduce AFN arise from transactions brought on by sales increases.

True

False

2 points

QUESTION 49

On the balance sheet, total assets must always equal total liabilities and equity.

True

False

2 points

QUESTION 50

The annual report contains four basic financial statements: the income statement, balance sheet, statement of cash flows, and statement of stockholders' equity.

True

False

Salvatore Chapter 1:

Discussion Questions: 9. How is the concept of a normal return on investment related to the distinction between business and economic profit?

Problems:

5. Determine which of the two investment projects a manager should choose if the discount rate of the firm is 10%. The first project promises a profit of $100,000 in each of the next 4 years, while the second project promises a profit of $75,000 in each of the next 6 years.

6. Determine which of the two investment projects of Problem 5 the manager should choose if the discount rate of the firm is 20%.

15. Integration Problem Samantha Roberts has a job as a pharmacist earning $30,000 per year, and she is deciding whether to take another job as the manager of another pharmacy for $40,000 per year or to purchase a pharmacy that generates a revenue of $200,000per year. To purchase the pharmacy, Samantha would have to use her $20,000 savings and borrow another $80,000 at an interest rate of 10% per year. The pharmacy that Samantha is contemplating purchasing has additional expenses of $80,000 for supplies, $40,000 for hired help, $10,000 for rent, and $5,000 for utilities. Assume that income and business taxes are zero and that the repayment of the principle of the loan does not start before 3 years. (a) What would be the business and economic profit if Samantha purchased the pharmacy? Should Samantha purchase the pharmacy? (b) Suppose that Samantha expects that another pharmacy will open nearby at the end of 3 years and that this will drive the economic profit of the pharmacy to zero. What would the revenue of the pharmacy be in 3 years? (c) What theory of profit would account for profits being earned by the pharmacy during the first 3 years of operation? (d) Suppose that Samantha expects to sell the pharmacy at the end of 3 years for $50,000 more than the price she paid for it and that she requires a 15% return on her investment. Should she still purchase the pharmacy?

Spreadsheet Problem (see attached Excel doc)

Using the data below, (Excel doc) where column A represents student numbers, column B the finishing time for a 1 mile race for 10 students, and column C the age of the students, (a) Use the data analysis tools to plot a line graph of all the finishing times. (b) Calculate a mean, median, mode, sample variance, sample standard deviation, and coefficient of variation to statistically describe the data. (c) Use Excel to fine the covariance between the two variables. What does the covariance indicate about the relationship between finishing time and age?

Note:

P15(d): Change ââ¦ for $50,000 more than â¦â to ââ¦ for $50,000 less than â¦â Compare the present value of economic profit in each of the next three years and the loss of $50,000 in the third year using 15% as the discount rate.

The spreadsheet problem (b): Calculate a mean, â¦. to statistically describe the data of both variables, Time and Age.

Individual problems:

3-1 You won a free ticket to see a Bruce Springsteen concert (assume the ticket has no resale value). U2 has a concert the same knight, and this represents your next-best alternative activity. Tickets to the U2 concert cost $80, and on any particular day, you would be willing to pay up to $100 to see this band. Assume that there are no additional costs of seeing either show. Based on the information presented, what is the opportunity cost of seeing Bruce Springsteen?

3-3 Because of the housing bubble, many houses are now selling for much less than their selling price just 2 to 3 years ago. There is evidence that homeowners with virtually identical houses tend to ask for more is they paid more for the house. What fallacy are they making?

Salvatore Chapter 3:

Discussion Questions:

9. How would you react to a sales managerâs announcement that he or she has in place a marketing program to maximize sales?

Problems:

1(a). Given the following total-revenue function: TR= 9Q - Q^2

Derive the total-, average-, and marginal- revenue schedules from Q=0 to Q=6 by 1âs.

7. Given the total-cost schedule: Q 0 1 2 3 4

TC 1 12 14 15 20

Derive the average- and marginal-cost schedules.

9. With the total-revenue curve of Problem 1 and the total-cost curve of problem 7, derive the total-profit function and show how the firm determines the profit-maximizing level of output.

Note:

DQ9: Does maximum sales (revenue) equal maximum profit (see figure 3-4)?

Revised P1(a): Derive the total-revenue, average-revenue, and marginal-revenue schedules from Q = 0 to Q = 4 by 1s.

Average revenue (AR) = total revenue (TR)/Q

Marginal revenue (MR) = change in total revenue/change in Q

For example:

Q	TR	AR	MR
2	14	7 (=14/2)
3	18	6 (=18/3)	4 (=(18-14)/(3-2)

Revised P9: With the total-revenue schedule of Problem 1 and the total-cost schedule of Problem 7, show the profit-maximizing level of output (profit=TR-TC).

Froeb et al. Chapter 4:

Individual problems:

4-5 Your insurance firm processes claims through its newer, larger high-tech facility and its older, smaller low-tech facility. Each month, the high-tech facility handles 10,000 claims, incurs $100,000 in fixed costs and $100,000 in variable costs. Each month, the low-tech facility handles 2,000 claims, incurs $16,000 in fixed costs and $24,000 in variable costs. If you anticipate a decrease in the number of claims, where will you lay off workers?

4-6 A copier company wants to expand production. It currently has 20 workers who share eight copiers. Two months ago, the firm added two new copiers, and output increased by 100,000 pages per day. One month ago, they added five workers, and productivity also increased by 50,000 pages per day. Copiers cost about twice as much as workers. Would you recommend they hire another employee or buy another copier?

can anyone help with this really super basic lab? Feel free tomake up data, highschool level information please!

You are NOT limited to the suggested projects listed below.Think up your own unique research project!!

Projects should involve observation/measurement of livingorganisms-plants, animals, fungi, humans. They should be designedto answer a question or to test a hypothesis. Examples ofhypotheses would be; "Plants will grow more if there is morerainfall" Or "Students will get higher grades if they study more."Sample size is important when possible; make multiple measurementsof several individuals. Your project must be something thatproduces DATA that can eventually be graphed. There should be adependent variable and an independent variable. For example,"amount of rainfall" would be an independent variable and "how fastplants grow" the dependent variable.

Projects should take approximately three hours, total, tocomplete, not counting the write up, which will be a separate lab.Detailed instructions on writing your report are attached. Keepyour project simple and manageable. Submit your first project bythe due date for Project 12 (July 7th)**Please make sure that yourassignment gets to me by the due date. You will still be able toupload your assignment after the due date, but it will be marked aslate, and you will lose some points for being late.

A few examples of projects:

Is there a correlation between the size of a dog, and how longit lives? For this you will need about ten dead dogs! Ask aroundamong friends, classmates, family, about dogs that died a naturaldeath. Find out each dog's age at death, and approximate weight. Alarger sample size here would be even better. Can you explain thecorrelation?

Do humans have a physiological response (difference in pulse,blood pressure, etc.) to music? Choose three different categoriesof music, such as classical, folk, rock, or none (silence). Have atleast five people in your study, and measure their pulse (or bloodpressure) both before and after they have listened to the music for5-10 minutes. Graph the increase (or decrease) in their pulse forthe different types of music. GRAPH THE AVERAGE values for yoursubjects, not value for each individual.

Is there a correlation between a person's usual amount of sleep,and how well they perform on memory tasks? Devise a SIMPLE memorytest-it could be just to study a list of twenty random words, andthen to recall as many as possible. Give this test to at least fourpeople who usually get (a) less than 6 hours sleep, (b) 6-7 hourssleep and (c) 8 or more hours. Or, choose your own categories.Amount of sleep is your independent variable (X axis) and AVERAGEscores on the test, the dependent variable. (Y axis). GRAPH THEAVERAGE!

Include ALL relevant observations and information in precisedetail. If possible, include illustrations of your experiment, yoursubjects, your work in progress, etc.

Format for writing your Research Report:
1. Introduction

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HUMBEHV 3HB3 Lecture Notes - Lecture 5: Mathematical Notation, Sampling Distribution, Categorical Variable

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