You are trying to price two bonds that have the same maturity
and par value but different coupon rates and different required
rates of return. Both bonds mature in 3 years and have par values
of $1000. One bond has a coupon rate of 7% and a required rate of
return of 7%. The other bond has a coupon rate of 5% and a required
rate of return of 5%. What is the absolute value of the difference
between the price of these two bonds?
$
You should set your calculator for at least four decimal places of
accuracy.
Place your answer in dollars and cents.
Do not include a dollar sign or comma in your answer.
In: Finance
The following table contains observed frequencies for a sample of 200.
| Column Variable | |||
| Row Variable | A | B | C |
| P | 20 | 44 | 50 |
| Q | 30 | 26 | 30 |
Test for independence of the row and column variables using a= .05
Compute the value of the test statistic (to 2 decimals).
In: Math
Breakin Away Company has three employees-a consultant, a computer programmer, and an administrator. The following payroll information is available for each employee:
| Consultant | Computer Programmer | Administrator | ||||
| Regular earnings rate | $3,310 per week | $28 per hour | $40 per hour | |||
| Overtime earnings rate | Not applicable | 1.5 times hourly rate | 2 times hourly rate | |||
| Number of withholding allowances | 3 | 2 | 1 | |||
For the current pay period, the computer programmer worked 60 hours and the administrator worked 50 hours. The federal income tax withheld for all three employees, who are single, can be determined by adding $356.90 to 28% of the difference between the employee's amount subject to withholding and $1,796.00. Assume further that the social security tax rate was 6%, the Medicare tax rate was 1.5%, and one withholding allowance is $70.
Determine the The total earnings of an employee for a payroll period.gross pay and the Gross pay less payroll deductions; the amount the employer is obligated to pay the employee.net pay for each of the three employees for the current pay period. Assume the normal working hours in a week are 40 hours. If required, round your answers to two decimal places.
In: Accounting
An electronics firm manufactures two types of personal computers (PC), a desktop model and a laptop model. The production of a desktop computer requires a capital expenditure of $400 and 40 hours of labor. The production of a laptop computer requires a capital expenditure of $250 and 30 hours of labor. The firm has $20,000 capital and 2,160 labor-hours available for production of desktop and laptop computers. Each desktop computer contributes a profit of $320 and each laptop computer contributes a profit of $220.
What are the corner points of the feasible region if we want to maximize the profit?
(a) (50, 0),(30, 32),(0, 72) ;
(b) (50, 0),(54, 0),(30, 32) ;
(c) (0, 80),(0, 72),(30, 32) ;
(d) (0, 0),(50, 0),(30, 32),(0, 72) ;
(e) (0, 0),(50, 0),(0, 72) ;
What are the decision variables if we want to maximize the profit?
(a) x1, x2 and x3 ;
(b) number of desktop and number of laptop to be made ;
(c) x and y ;
(d) x, y and z ;
(e) x1 and x
In: Math
Use SPSS for this Application Exercise:
A pharmaceutical company tested three formulations of a pain relief
medicine for migraine headache sufferers. Volunteers were selected
and randomly assigned to one of the three drug formulations. The
volunteers were instructed to take the drug during their next
migraine headache episode and to report their pain on a scale of 1
to 10 (10 being most pain). The data are below. What can be
concluded with ? = 0.05?
| formulation A | formulation B | placebo |
|---|---|---|
| 1 6 8 4 5 4 6 5 5 5 5 |
6 6 7 6 6 7 5 6 6 6 6 |
4 6 4 6 2 5 2 6 2 7 2 |
a) What is the appropriate test statistic?
---Select--- na one-way ANOVA within-subjects ANOVA two-way
ANOVA
b) Compute the appropriate test statistic(s) to
make a decision about H0.
p-value = ; Decision: ---Select---
Reject H0 Fail to reject H0
c) Using the SPSS results,
compute the corresponding effect size(s) and indicate
magnitude(s).
?2 = ; ---Select--- na
trivial effect small effect medium effect large effect
d) Make an interpretation based on the
results.
At least one of the formulations differ on pain.None of the formulations differ on pain.
In: Statistics and Probability
We assume that our wages will increase as we gain experience and become more valuable to our employers. Wages also increase because of inflation. By examining a sample of employees at a given point in time, we can look at part of the picture. How does length of service (LOS) relate to wages? The data here (data336.dat) is the LOS in months and wages for 60 women who work in Indiana banks. Wages are yearly total income divided by the number of weeks worked. We have multiplied wages by a constant for reasons of confidentiality.
(a) Plot wages versus LOS. Consider the relationship and whether
or not linear regression might be appropriate. (Do this on paper.
Your instructor may ask you to turn in this graph.)
(b) Find the least-squares line. Summarize the significance test
for the slope. What do you conclude?
| Wages = | + LOS |
| t = | |
| P = |
(c) State carefully what the slope tells you about the relationship
between wages and length of service.
This answer has not been graded yet.
(d) Give a 95% confidence interval for the slope.
( , )
worker wages los size 1 44.898 39 Large 2 85.8585 122 Small 3 37.6708 100 Small 4 44.1095 168 Small 5 47.756 25 Large 6 40.8481 22 Small 7 50.5179 27 Large 8 63.4659 70 Large 9 37.2126 86 Large 10 66.0707 95 Small 11 53.5897 56 Large 12 42.5586 18 Small 13 50.3493 129 Small 14 60.3041 75 Large 15 46.2348 93 Large 16 56.1494 23 Large 17 45.4136 15 Large 18 40.9541 44 Small 19 55.3183 26 Large 20 50.7934 58 Large 21 41.2603 79 Large 22 37.3516 19 Small 23 42.1137 30 Large 24 60.4141 88 Small 25 51.9331 119 Large 26 49.6191 20 Small 27 53.1292 116 Small 28 60.8961 62 Large 29 51.3743 31 Large 30 52.4964 42 Large 31 47.748 102 Small 32 47.1194 90 Large 33 60.6775 99 Large 34 70.5214 21 Small 35 39.4673 164 Large 36 50.4703 83 Large 37 66.2801 100 Large 38 62.3078 185 Small 39 43.79 18 Large 40 54.1258 56 Small 41 39.0053 174 Small 42 52.4289 59 Small 43 57.6612 89 Large 44 51.6591 17 Small 45 50.383 73 Large 46 38.2104 40 Small 47 52.421 78 Large 48 45.5227 55 Large 49 62.5477 53 Small 50 43.9493 58 Large 51 76.2546 87 Large 52 56.4322 110 Large 53 37.8525 64 Large 54 37.132 47 Small 55 50.4954 84 Small 56 49.1702 54 Large 57 41.8979 16 Small 58 45.3906 40 Large 59 57.8986 41 Small 60 40.3537 34 Large
In: Math
Suppose your research assistant screwed up and lost the information that linked the person’s identity across the two weight loss periods. This makes it impossible to run a paired t-test. Rather than start over:
a) Compute the mean and standard deviation of the two samples (2-pts)
b) Compute the two sample t-statistic (2pts)
c) How many degrees of freedom do you have(3pts)?
d) compute the P-value (4pts)
e) How does this P-value compare to the one you just computed using the paired ttest? (3pts))
Two Sample t-test (16pts):
Suppose you are interested in deciding if the 1990 Toyota Four Runner has been equally reliable as the 1990 Honda Passport. You go out a randomly sample of 5 people who own a 1990 Toyota and 5 other people who own a 1990 Honda and you ask them how often they have to take their vehicles in for maintenance. Here are your data (in thousands of miles):
Toyota: 30 35 32 34 30
Honda: 29 33 28 31 27
a) State the null and alternative hypotheses (2pts)
b) Compute the means and standard deviations of the two samples (2-pts)
c) Compute the two sample t-statistic (2 pts)
c) How many degrees of freedom do you have? (3pts)
d) Compute the P-value (4pts)
e) At an alpha = 0.05 would you accept or reject the null hypothesis? (3pts)
Please show work! thank you!
In: Math
There are 23 families living in the Willbrook Farms Development. Of these families, 10 prepared their own federal income taxes for last year, 5 had their taxes prepared by a local professional, and the remaining 8 by H&R Block.
What is the probability of selecting a family that prepared their own taxes? (Round your answer to 2 decimal places.)
What is the probability of selecting two families, both of which prepared their own taxes? (Round your answer to 4 decimal places.)
What is the probability of selecting three families, all of which prepared their own taxes? (Round your answer to 4 decimal places.)
What is the probability of selecting two families, neither of which had their taxes prepared by H&R Block? (Round your answer to 4 decimal places.)
In: Statistics and Probability
Suppose an individual invests $10,000 in a load mutual fund for two years. The load fee entails an up-front commission charge of 3 percent of the amount invested and is deducted from the original funds invested. In addition, annual fund operating expenses (or 12b-1 fees) are 0.80 percent. The annual fees are charged on the average net asset value invested in the fund and are recorded at the end of each year. Investments in the fund return 8 percent each year paid on the last day of the year. If the investor reinvests the annual returns paid on the investment, calculate the annual return on the mutual fund over the two-year investment period
(Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161))
Make sure the answer you provide is right please
In: Finance
A pharmaceutical company developed a new revolutionary diet pill, “fat buster,” which is believed to greatly help people with losing weights. They conducted an experimental study to assess its relative effectiveness, comparing it with a currently popular diet pill in the market. A random sample of 28 participants were split into two groups: People in Group A used this company’s “fat buster” and those in Group B used a competing diet pill, “fat killer.” After taking the pills for 6 months while otherwise being treated the same way, participants had their weights measured. On average, participants in Group A lost 11.39 pounds while those in Group B lost 6.71 pounds. The results of t-test (non-directional), however, were not significant (a = .01, tcrit = 2.779): t (26) = 2.509. Anxious and desperate, the company now wants to consult you as the new expert on statistics. What recommendations would you make to help them obtain significant results? Provide at least two recommendations. Any additional (and valid) suggestions or recommendations you provide will be given 2 extra points for each.
In: Statistics and Probability