FIN 4504 Homework 1
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FIN 4504 –
Investments Homework Assignment 1 The grade received on a homework submission will depend upon whether you submitted the Homework on time, the effort put forth, and the correctness of the answers to the questions that are asked. Be sure to respond to all questions. 1. Consider a stock index comprised of three stocks: A, B, and C. Information pertaining to the three stocks is provided below: Security # of Shares Initial Price Price in 1 Year A 2,750,000 $34 $42 B 3,100,000 $66 $80 C 3,800,000 $118 $110 Compute the return on the index over the year: a. for a price-weighted average like the Dow. b. for a value-weighted index like the S&P 500 Index. c. for an equally-weighted index. 2. XYZ stock traded last at $30.00 per share. a.
Provide an example of a buy limit order that you might place, and indicate how it would work. b. Suppose you bought XYZ's stock at $30.00 per share. Explain the stop order that you would place if you wanted to limit any loss in XYZ to a maximum of $5 per share. 3. You sell 100 shares of a stock short
at a price of $70 per share. a. Provide an example of a limit order you might place right after you took the position and indicate how it would work. b. Provide an example of a stop order you might place right after you took the position and indicate how it would work. c. After three months, the stock is selling for $64 per share. During the three months you have had the short position the stock paid a dividend of 50 cents per share. What is your total dollar gain or loss on the short position over the three months? (Don't worry about any margin interest.) 4. You execute a margin purchase of 200 shares of a stock at $62 per share. The initial margin requirement is 60% and the maintenance margin is 40%. a. On a per share basis, what is the minimum amount you must you put up and how much can you borrow from the brokerage house? b. If the price of the stock increases to $65 per share, what is the actual margin in your account? Assume you borrowed the maximum amount possible when taking the position initially.
c. How far can the stock price fall prior to your receiving a margin call? (Note, ignore any interest expense when calculating actual margins.) d. Suppose you hold your initial position for one year, at which time the stock is selling for $70 per share. During the year the stock paid a dividend of fifty cents. The interest rate on your loan was 8% annually. Calculate the percentage return on your investment. Then calculate the percentage return on your investment if you had made a cash purchase originally instead of a margin purchase. Explain the difference in the returns. e. Repeat part d leaving everything as before except now assume an ending stock price of $55 per share. Explain why the two returns differ as they do. Use the end of year price and dividend data (dividend paid during year) provided below for the common stocks of Norvell and Napier to respond to the questions 5 through 9. Norvell
Napier
Date
Close Price
Dividend
Close Price
Dividend
12/31/2018
32.00
30.00
12/31/2019
37.45
1.02
33.45
0.98
12/31/2020
34.35
1.22
28.87
1.10
12/31/2021
42.15
1.42
37.93
1.22
12/31/2022
38.70
1.62
42.26
1.34
12/31/2023
45.23
1.82
39.41
1.46
5.
Compute the annual holding period returns for 2019 through 2023 for each stock. 6.
Compute the arithmetic mean annual return and the geometric mean annual return over the five year period for each stock. 7.
Compute the standard deviation of the annual returns over the five-year period for each stock. 8.
Assuming that the inflation rate was 6.85% in 2023, what was the "real rate of return" on Norvell
’s common stock in 2023? 9.
Given that the annual yield on a one-year Treasury Note in 2023 was 4.96%, what was the ex post risk premium on Napier
’
s common stock in 2023? 10.
Direct your browser to Yahoo!Finance or some other similar site and pull up the company report for Apple Inc. (AAPL). a.
What is Apple
’s average daily trade volume? b.
What is Apple
’s Market Capitalization? c.
What is Apple
’s Profit Margin?
d.
What were Apple
’s latest diluted earnings per share (EPS)? e.
What is Apple
’s Forward P/E?
What is the interpretation of this number?
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Related Questions
k
ces
an equally weighted index is one in which the index value is computed from
the average rate of return of the stocks comprising the index. Equally weighted indexes are frequently used by financial researchers to
measure portfolio performance.
The following three defense stocks are to be combined into a stock index in January 2019 (perhaps a portfolio manager believes these
stocks are an appropriate benchmark for his or her performance):
Douglas McDonnell
Dynamics General
International Rockwell
Index return
Shares
(millions)
425
530
310
%
1/1/19
$ 72
50
79
Price
1/1/20
$ 75
43
68
a. Compute the rate of return on an equally weighted index of the three defense stocks for the year ending December 31, 2019. (A
negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent
rounded to 2 decimal places.)
1/1/21
$ 92
57
85
b. If the index value is set to 100 on January 1, 2019, what will the index value be on January 1, 2020? (Do…
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Problem 2-12 (Algo)
Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C
splits two for one in the last period.
Stock Po
A
B
P1 01
P2 02
00
140 145 145 145 145 145
135 290 130 290 130 290
270 290 280 290 145 580
C
Required:
Calculate the first-period rates of return on the following indexes of the three stocks (t = 0 to t = 1):
Note: Do not round intermediate calculations. Round your answers to 2 decimal places.
a. A market-value-weighted index.
b. An equally weighted index.
a. Rate of return
b. Rate of return
%
%
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Hi teacher please help me this question general accounting
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Ch 08: Assignment - Risk and Rates of Return
Elle nolas a $5,000 portrollo that consists or rOur stocKs. Her investment in eacn stock, as well as each stock's beta,
is listed in the following table:
Standard Deviation
Stock
Investment
Beta
Perpetualcold Refrigeration Co. (PRC)
$1,750
0.90
12.00%
Zaxatti Enterprises (ZE)
1.70
$1,000
11.00%
Western Gas & Electric Co. (WGC)
$750
1.10
18.00%
Makissi Corp. (MC)
$1,500
0.40
25.50%
Suppose all stocks in the portfolio were equally weighted
Suppose all stocks in Elle's portfolio were equally
weighted. Which of these stocks would contribute the
Which of these stocks would have the least amount of
least market risk to the portfolio?
standalone risk?
Makissi Corp.
Perpetualcold Refrigeration Co.
Makissi Corp.
Western Gas & Electric Co.
Zaxatti Enterprises
Zaxatti Enterprises
Western Gas & Electric Co
O Perpetualcold Refrigeration Co.
If the risk-free rate is 7% and the market risk premium is 9%, what is Elle's portfolio's beta and required return?…
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Briefly outline the significance of the EPS as a measure of financial performance
Outline TWO (2) disclosure and presentation requirements of IAS33
The firm had 10 million common stocks in issue for the year ending December 31 2022.
On the 1 January 2023 it had issued $2 million of 6% convertible debentures, each $5.00
of debentures can be converted into four common shares on the 1 of January at the option
of the holder of the debenture.
The firm had profit after tax for the year ended December 31, 2022, of $1 850 000. The
firm pays tax at 30% for the year ended.
Required:
Calculate the Basic and diluted EPS for the year 2022
Outline the need to disclose a diluted EPS figure and on the relevance of this to the
shareholders
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1
S
Book
What are the portfolio weights for a portfolio that has 120 shares of Stock A that sell for
$30 per share and 100 shares of Stock B that sell for $20 per share? (Do not round
intermediate calculations and round your answers to 4 decimal places, e.g., .1616.)
Stock A
Stock B
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A
B
C
O 144.67
O 141.67
O $133.81
Stock
O 131.81
Shares
1,000
5,000
3,000
Based on Table 3 the three securities comprise an index. Calculate the market
value weighted index for time period t+1?
Price_t
$45
$24
$15
Price_t+1
$64
$26
$29
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Stock
Price ($)
Dividend Yield
WSR
16
7
HCC
56
2
SNDK
80
2
You invested a total of $11,200 in shares of the 3 stocks shown above and
expected to earn $304 in annual dividends. If you purchased a total of 250
shares. How many of each did you purchase?
You are to do this problem using the Gauss Jordan method shown in the
book and in our recorded sessions. Show each matrix step as I have
modelled for you.
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Project # 2
FIN 345
The following information is provided to you about the performance of a particular stock
investment that involved purchasing 1,000 shares of the stock on Jan 1 and selling the stock at
the end of the last period:
Event or
$ Dividend Market Price
buy
0.6
Date
1-Jan
15-Mar
30-May
15-Jun 0.4
15-Sep 0.4
15-Dec 0.4
31-Dec sell
3 for 11
Tax Rates are as follows:
100
102
100
35
36
34
37
• The capital gains rate is 20%
• The investor's personal income tax rate on dividends is 15%.
Create a spreadsheet to answer the following questions:
1. What is the unadjusted before-tax holding period rate of return?
2. What is the time-weighted before-tax rate of return?
3. What is the unadjusted after-tax holding period rate of return?
4. What is the time-weighted after-tax rate of return?
Final Step: Calculate the difference between Question #4 (time-weighted after-tax rate of return)
and Question #3 (unadjusted after-tax holding period rate of return).
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Question 15
You own a portfolio that has $3,026 invested in Stock A and $4,300 invested in Stock B. Assume the
expected returns on these stocks are 12 percent and 18 percent, respectively.
Required:
What is the expected return on the portfolio? (Do not include the percent sign (%). Round your
answer to 2 decimal places (e.g., 32.16).)
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Accounting question
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vi.3
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Q3 week 4
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Question content area top
Part 1
(Related to Checkpoint 10.3) (Preferred stock valuation) Calculate the value of a preferred stock that pays a dividend of
$2.50
per share when the market's required yield on similar shares is
12
percent.
Question content area bottom
Part 1
The value of the preferred stock is
$enter your response here
per share. (Round to the nearest cent.)
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Esc
Chapter 12 Practice Problems
1. Suppose a stock had an initial price of $77 per share, paid a dividend of $1.35 per share
during the year, and had an ending share price of $83. Compute the percentage total return.
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Question content area top
Part 1
(Common stock valuation) Assume the following:
•
the investor's required rate of return is
14.5
percent,
•
the expected level of earnings at the end of this year
(E1)
is
$6,
•
the retention ratio is
40
percent,
•
the return on equity
(ROE)
is
14
percent (that is, it can earn
14
percent on reinvested earnings), and
•
similar shares of stock sell at multiples of
6.742
times earnings per share.
Questions:
a. Determine the expected growth rate for dividends.
b. Determine the price earnings ratio
(P/E1).
c. What is the stock price using the P/E ratio valuation method?
d. What is the stock price using the dividend discount model?
e. What would happen to the P/E ratio
(P/E1)
and stock price if the company increased its retention rate to
80
percent (holding all else constant)? What would happen to the P/E ratio
(P/E1)
and stock price if the company paid out all its earnings in the form of dividends?…
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A portfolio consists of the following securities. What is the portfolio weight of stock C? (Do not round intermediate calculations. Round your
answers to 4 decimal places.)
PPS
$48
$33
$18
Stock
#Shares
200
150
350
ABC
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You have the following information:
Stock
Shares Outstanding
BOY Price
EOY Price
L
3,000
$ 15
$ 28
K
57,000
$ 31
$ 35
You want the beginning price-weighted index of these two stocks to be 500. Given this, what is the ending index value?
Multiple Choice
A. 408.33
B. 487.08
C. 511.19
D. 576.09
E. 612.24
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Stock
A
B
1. Consider the following market of 3 stocks:
C
Po
$11
$54
$149
Qo
40
80
50
P₁
$17
$20
$158
Q1
40
160
50
Calculate the equal value weighted index. Please round your answer to two decimal
places.
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answer each component PLEASE!
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QUESTION 2
Based on FactSet's meeting detail for Sherwin-Williams's annual general meeting in April 2024 (available via Company/Security), who was the most popular director up for election?
O Arthur F. Anton
Marta R. Stewart
O Kerri B. Anderson
O Thomas L. Williams
QUESTION 3
Calculate the geometric average return and standard deviation of Sherwin-Williams (SHW) stock using annual total return index values from 12/31/2003 to 12/29/23. If SHW were normally distributed with the n
deviation you calculated, what would be the odds of experiencing a loss (ie., a negative return) during a given year?
5%
11%
34%
22%
QUESTION 4
Suppose you bought Sherwin Williams (SHW) stock on December 31, 2003 and held the shares until December 29, 2023. What would have been your total return for the entire period?
O 35.76%
3576%
3476%
34.76%
QUESTION 5
Suppose you bought Sherwin Williams (SHW) stock on December 31, 2003 and held the shares until December 29, 2023. What would have been your price return for…
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es
The following three defense stocks are to be combined into a stock index in January
2022 (perhaps a portfolio manager believes these stocks are an appropriate
benchmark for his or her performance):
Douglas McDonnell
Dynamics General
International
Rockwell
Index value
Shares (millions)
420
450
250
2022 return
2023 return
a. Calculate the initial value of the index if a price-weighting scheme is used.
1/1/22
$ 63
53
82
Price
1/1/23
$ 67
47
71
%
%
b. What is the rate of return on this index for the year ending December 31, 2022?
For the year ending December 31, 2023?
Note: A negative value should be indicated by a minus sign. Do not round
intermediate calculations. Enter your answers as a percent rounded to 2
decimal places.
1/1/24
$ 84
61
87
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K
Using the data in the table to the right, calculate the return for
investing in the stock from January 1 to December 31. Prices
are after the dividend has been paid.
Return for the entire period is%. (Round to two decimal places.)
Date
Jan 1
Feb 5
May 14
Aug 13
Nov 12
Dec 31
Price
$32.07
$29.54
$31.52
$30.69
$31.38
$41.26
ACCOR
Dividend
$0.21
$0.21
$0.22
$0.19
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How many shares of treasury stock does the corporation have? What does it represent? How does it affect stockholder's equity?
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Question content area top
Part 1
Calculate the 95% confidence intervals for the four different investments included in the following table.
S&P TSX
Composite
Index
S&P 500
Index
in CAD
Long-Term
Gov't of Canada
Bonds
Canadian
Treasury
Bills
Average Return (%)
10.31
11.84
7.38
5.39
Standard Deviation of Returns (%)
16.24
18.27
10.09
4.21
Question content area bottom
Part 1
The 95% confidence interval of the S&P TSX Composite Index is between
enter your response here%
and
enter your response here%.
(Round to two decimal places. Use ascending order.)
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- Ch 08: Assignment - Risk and Rates of Return Elle nolas a $5,000 portrollo that consists or rOur stocKs. Her investment in eacn stock, as well as each stock's beta, is listed in the following table: Standard Deviation Stock Investment Beta Perpetualcold Refrigeration Co. (PRC) $1,750 0.90 12.00% Zaxatti Enterprises (ZE) 1.70 $1,000 11.00% Western Gas & Electric Co. (WGC) $750 1.10 18.00% Makissi Corp. (MC) $1,500 0.40 25.50% Suppose all stocks in the portfolio were equally weighted Suppose all stocks in Elle's portfolio were equally weighted. Which of these stocks would contribute the Which of these stocks would have the least amount of least market risk to the portfolio? standalone risk? Makissi Corp. Perpetualcold Refrigeration Co. Makissi Corp. Western Gas & Electric Co. Zaxatti Enterprises Zaxatti Enterprises Western Gas & Electric Co O Perpetualcold Refrigeration Co. If the risk-free rate is 7% and the market risk premium is 9%, what is Elle's portfolio's beta and required return?…arrow_forwardBriefly outline the significance of the EPS as a measure of financial performance Outline TWO (2) disclosure and presentation requirements of IAS33 The firm had 10 million common stocks in issue for the year ending December 31 2022. On the 1 January 2023 it had issued $2 million of 6% convertible debentures, each $5.00 of debentures can be converted into four common shares on the 1 of January at the option of the holder of the debenture. The firm had profit after tax for the year ended December 31, 2022, of $1 850 000. The firm pays tax at 30% for the year ended. Required: Calculate the Basic and diluted EPS for the year 2022 Outline the need to disclose a diluted EPS figure and on the relevance of this to the shareholdersarrow_forward1 S Book What are the portfolio weights for a portfolio that has 120 shares of Stock A that sell for $30 per share and 100 shares of Stock B that sell for $20 per share? (Do not round intermediate calculations and round your answers to 4 decimal places, e.g., .1616.) Stock A Stock Barrow_forward
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