Shares for Deloitte plc and PWC ltd have the following historical dividends and price data
|
companies |
DELOITE PLC |
PWC LTD |
|||
|
dividends |
year end price |
dividends |
year end price |
||
|
Year |
|||||
|
2001 |
22.50 |
43.75 |
|||
|
2002 |
2.0 |
16.00 |
3.4 |
35.50 |
|
|
2003 |
2.2 |
17.00 |
3.65 |
38.78 |
|
|
2004 |
2.4 |
20.25 |
3.9 |
51.75 |
|
|
2005 |
2.6 |
17.25 |
4.15 |
44.50 |
|
|
2006 |
3.0 |
18.75 |
4.25 |
45.25 |
|
Required:
(a) Calculate the realized rate of return (or holding period return) for each share in each year. Assume an equally weighted portfolio. What would the realized rate of return on the portfolio be in each year from 2001 through to 2006? What are the average returns for each share and for the portfolio?
(b) Calculate the standard deviation of returns for each share and for the portfolio.
(c) Based on the extent to which the portfolio has a lower risk than the shares held individually, would you assess that the correlation co-efficient between returns on the two shares is closer to 0.9, 0.0 or -0.9?
(d) If you added more shares at random to the portfolio, what is the most accurate statement of what would happen to σp?
σp would remain constant
σp would decline to somewhere in the vicinity of 15%, or
σp would decline to zero if enough shares were included
In: Finance
a) CEMENCO Stock Return
|
YEAR CEMENCO RETURN |
|
2000 13.9% 2001 20.0% 2002 11.6% 2003 2.8% 2004 3.6% 2005 -16.3% 2006 47.3% 2007 -12.7% |
Find the Average Return and Risk (as measured by Standard Deviation) of CEMENCO since 2000.
b) You have a portfolio consisting of 20 percent CEMENCO stock (β = 0.81), 40 percent of Monrovia Breweries (Club Beer) stock ((β = 1.67). How much market risk does the portfolio have? How does this compare with the general market?
c) Data from the last eight decades for S & P 500 index yield the following statistics: average excess return = 7.9%; Standard Deviation = 23.2%.
(i)To the extent that these averages approximated investor expectations for the period, what must have been the average coefficient of risk aversion? Formula: E (rm) – rf = Ā ẟ2m
(II)If the coefficient of risk aversion were actually 3.5, what risk premium would have been consistent with the market’s historical standard deviation?
d) A portfolio’s return is 12%, its standard deviation is 20% and the risk-free rate is 4%. Which of the following would make the greatest increase in the portfolio’s Sharpe ratio?
An increase of 1% in expected return?
A decrease of 1% in the risk-free rate?
A decrease of 1% in its standard deviation?
In: Accounting
Please answer below two question in your own words and in brief
The following passage summarizes some of the central points in the debate as to the value of corporations to devote significant resources to corporate social responsibility:
Stakeholders Versus Shareholders
Although corporate social responsibility may appear to be an “apple-pie virtue,” it is quite controversial. Below are some of the chief arguments for and against it:
Proponents will claim that it…
On the other hand, Detractors will argue that it…
In: Accounting
How do you interpret the price indices in Exhibit 3? How do economists construct them? Use Excel regression to analyze the relationship between the adjusted price index (dependent variable and year (independent variable). Interpret your regression findings by discussing the coefficient of determination (R-squared), the regression coefficient, the regression equation, and the p value. Can you use the regression equation to predict the price indices? Take into account statistical, macroeconomic, and other considerations.
EXHIBIT 3
|
Number |
Year |
Gross Income |
Price Index |
Adjusted Price Index |
Real Income |
|
1 |
1991 |
50,599 |
136.2 |
1.362 |
37150.51 |
|
2 |
1992 |
53,109 |
140.3 |
1.403 |
37853.88 |
|
3 |
1993 |
53,301 |
144.5 |
1.445 |
36886.51 |
|
4 |
1994 |
56,885 |
148.2 |
1.482 |
38383.94 |
|
5 |
1995 |
56,745 |
152.4 |
1.524 |
37234.25 |
|
6 |
1996 |
60,493 |
156.9 |
1.569 |
38555.13 |
|
7 |
1997 |
61,978 |
160.5 |
1.605 |
38615.58 |
|
8 |
1998 |
61,631 |
163 |
1.630 |
37810.43 |
|
9 |
1999 |
63,297 |
166.6 |
1.666 |
37993.40 |
|
10 |
2000 |
66,531 |
172.2 |
1.722 |
38635.89 |
|
11 |
2001 |
67,600 |
177.1 |
1.771 |
38170.53 |
|
12 |
2002 |
66,889 |
179.9 |
1.799 |
37181.21 |
|
13 |
2003 |
70,024 |
184 |
1.840 |
38056.52 |
|
14 |
2004 |
70,056 |
188.9 |
1.889 |
37086.29 |
|
15 |
2005 |
71,857 |
195.3 |
1.953 |
36793.14 |
In: Math
Describe the mathematical models of the boundary value problem to evaluate the elastic deflection of the beam based on Euler-Bernoulli and Timoshenko theories with finite difference discretisation (for numerical integration and differentiation)
In: Mechanical Engineering
Describe the mathematical models of the boundary value problem to evaluate the elastic deflection of the beam based on Euler-Bernoulli and Timoshenko theories with finite difference discretisation (for numerical integration and differentiation)
In: Mechanical Engineering
For the data set below, find the upper outlier boundary.
154 160 146 131 148 164 199 169 139 165
|
199 |
||
|
19 |
||
|
165 |
||
|
193.5 |
In: Statistics and Probability
The Indonesian government issued a government bond in 2004, with a maturity of 20 years, the coupon rate is 13%. Currently (the year 2014), the Indonesian government issues government bonds with a maturity of 20 years with a coupon rate of 8%. Note, that the coupon rate decreases from 13% to 8%. Calculate the fair value for the first bond (issued in 2004, and will mature in 2024). The par is 1,000,000 and the yield is 13%
In: Finance
Weight gain during pregnancy. In 2004, the state of North
Carolina released to the public a large data set containing
information on births recorded in this state. This data set has
been of interest to medical researchers who are studying the
relationship between habits and practices of expectant mothers and
the birth of their children. The following histograms show the
distributions of weight gain during pregnancy by 855 younger moms
(less than 35 years old) and 136 mature moms (35 years old and
over) who have been randomly sampled from this large data set. The
average weight gain of younger moms is 30.87 pounds, with a
standard deviation of 14.32 pounds, and the average weight gain of
mature moms is 29.32 pounds, with a standard deviation of 13.43
pounds. Do these data provide strong evidence that there is a
significant difference between the two population means? Conduct a
hypothesis test. Round all numeric answers to 4 decimal
places.
1. Which set of hypotheses should the researcher use?
A. ?0H0: ?1−?2=0p1−p2=0, ??HA:
?1−?2≠0p1−p2≠0
B. ?0H0: ?1−?2=0μ1−μ2=0, ??HA:
?1−?2>0μ1−μ2>0
C. ?0H0: ?1−?2=0μ1−μ2=0, ??HA:
?1−?2≠0μ1−μ2≠0
D. ?0H0: ?1−?2=0p1−p2=0, ??HA:
?1−?2<0p1−p2<0
2. Calculate the test statistic. t =
3. Calculate the p-value for this hypothesis test.
p value =
4. Suppose that a researcher today decides to replicate this
study. Using the information from the 2004 study, they calculate an
effect size of 0.11. Next, they obtain a new sample of 124 younger
moms and a new sample of 86 mature moms and, using their new sample
data, conduct the same hypothesis test. They calculate a p-value of
0.266 and an effect size of 0.096. Does their new study confirm or
conflict with the study from 2004?
A. The researcher cannot make a comparison because
the sample sizes are not the same.
B. It confirms the 2004 study because the effect
sizes are nearly the same.
C. It contradicts the 2004 study because the
effect sizes are not exactly the same.
D. It contradicts the 2004 study because the
p-value is larger.
E. It confirms the 2004 study because the sample
of moms from today is independent of the sample of moms from
2004.
In: Statistics and Probability
Does the responsibility for drug education and prevention lie primarily with the family, the schools, the church, the police, or with the state and federal governments? How would you rank order their responsibility? Justify your order.
In: Nursing