Consider the following. a. What is the duration of a five-year Treasury bond with a 10 percent semiannual coupon selling at par?
b. What is the duration of the above bond if the yield to maturity (ytm) increases to 14 percent? What if the ytm increases to 16 percent? c. What can you conclude about the relationship between duration and yield to maturity?
please show in excel
In: Finance
The commissions in dollars earned for the first quarter of last year by the 11 members of the sales staff at Master Chemical Company are: 1650, 1475, 1510, 1670, 1595, 1760, 1540, 1495, 1590, 1625, 1510. • Calculate the mean and the standard deviation of the commissions earned. • Calculate the second quartile and the sixth decile.
In: Statistics and Probability
13) Calculate the present value of a perpetuity with a $6.50 payment per year and a 6.5% annual interest rate.
To calculate the present value of a perpetuity, you just divide the payment by the interest rate. Therefore, the present value would be:
|
A |
B |
C |
D |
E |
|||
|
1 |
Annual Rate |
6.5% |
|||||
|
2 |
Payments |
$6.50 |
|||||
|
3 |
|||||||
|
4 |
Present Value |
=B2/B1 |
|||||
|
A |
B |
C |
D |
E |
|
|
1 |
Annual Rate |
6.5% |
|||
|
2 |
Payments |
$6.50 |
|||
|
3 |
|||||
|
4 |
Present Value |
a) You are offered an investment that will pay the following cash flows at the end of each of the next five years:
|
Period |
Cash Flow |
8
|
0 |
$0 |
|
1 |
$100 |
|
2 |
$200 |
|
3 |
$300 |
|
4 |
$400 |
|
5 |
$500 |
How much would you be willing to pay for this investment if your required rate of return is 12% per year?
Use Excel’s =NPV(B1,B5:B9) function. Note that we did not include the period 0’s cash flow in the function. Excel’s NPV function doesn't really calculate net present value. Instead, it simply calculates the present value of uneven cash flows. It does not take the cost of the initial outlay into account.
|
A |
B |
|||
|
1 |
Annual Rate |
12% |
||
|
2 |
||||
|
3 |
Period |
Cash Flow |
||
|
4 |
0 |
$0 |
||
|
5 |
1 |
$100 |
||
|
6 |
2 |
$200 |
||
|
7 |
3 |
$300 |
||
|
8 |
4 |
$400 |
||
|
9 |
5 |
$500 |
||
|
10 |
||||
|
11 |
Present Value |
=NPV(B1,B5:B9) |
||
|
A |
B |
|||
|
1 |
Annual Rate |
12% |
||
|
2 |
||||
|
3 |
Period |
Cash Flow |
||
|
4 |
0 |
$0 |
||
|
5 |
1 |
$100 |
||
|
6 |
2 |
$200 |
||
|
7 |
3 |
$300 |
||
|
8 |
4 |
$400 |
||
|
9 |
5 |
$500 |
||
|
10 |
||||
|
11 |
Present Value |
|||
B) How much you will get if you invest the following cash flows at 12% per year?
|
Period |
Cash Flow |
9
|
0 |
$0 |
|
1 |
- $100 |
|
2 |
- $200 |
|
3 |
- $300 |
|
4 |
- $400 |
|
5 |
- $500 |
There is no function to calculate the future value of uneven cash flows. Therefore, we need to find the future value of each of the cash flows individually and then add them all together.
The cash flow in period 1 needs to be taken four periods forward (moved from period 1 to 5) so the formula in C5 is: =FV($B$1,$A$9-A5,0,B5). Notice that NPer is calculated by taking the period of the last cash flow (5, in A9) minus the period of the current cash flow (1, in A5). Also, note that the dollar signs serve to freeze the reference so that when you copy the formula down those addresses won't change (i.e., they are absolute references). Copy and then paste that formula into A6:A9. To find the future value of the cash flows in B11, use the formula: =SUM(C5:C9).
|
A |
B |
C |
|||
|
1 |
Annual Rate |
12% |
|||
|
2 |
|||||
|
3 |
Period |
Cash Flow |
|||
|
4 |
0 |
$0 |
|||
|
5 |
1 |
- $100 |
=FV($B$1,$A$9-A5,0,B5) |
||
|
6 |
2 |
- $200 |
=FV($B$1,$A$9-A6,0,B6) |
||
|
7 |
3 |
- $300 |
=FV($B$1,$A$9-A7,0,B7) |
||
|
8 |
4 |
- $400 |
=FV($B$1,$A$9-A8,0,B8) |
||
|
9 |
5 |
- $500 |
=FV($B$1,$A$9-A9,0,B9) |
||
|
10 |
|||||
|
11 |
Future Value |
=SUM(C5:C9) |
|||
|
A |
B |
C |
|||||||||
|
1 |
Annual Rate |
12% |
|||||||||
|
2 |
|||||||||||
|
3 |
Period |
Cash Flow |
|||||||||
|
4 |
0 |
$0 |
|||||||||
|
5 |
1 |
- $100 |
|||||||||
|
6 |
2 |
- $200 |
|||||||||
|
7 |
3 |
- $300 |
|||||||||
|
8 |
4 |
- $400 |
|||||||||
|
9 |
5 |
- $500 |
|||||||||
|
10 |
|||||||||||
|
11 |
Future Value |
||||||||||
10
Another way to find the future value of any set of cash flows is to first find the present value of those cash flows and then to find the future value of that present value. The picture, below, demonstrates the process:
We already saw that we can calculate the present value of uneven cash flows using the NPV function, so we will use the NPV function for the PV argument in the FV function. The formula becomes: =FV(B1,A9,0,NPV(B1,B5:B9)).
|
A |
B |
C |
D |
|||
|
1 |
Annual Rate |
12% |
||||
|
2 |
||||||
|
3 |
Period |
Cash Flow |
||||
|
4 |
0 |
$0 |
||||
|
5 |
1 |
- $100 |
||||
|
6 |
2 |
- $200 |
||||
|
7 |
3 |
- $300 |
||||
|
8 |
4 |
- $400 |
||||
|
9 |
5 |
- $500 |
||||
|
10 |
||||||
|
11 |
Future Value |
=FV(B1,A9,0,NPV(B1,B5:B9)) |
||||
|
A |
B |
C |
D |
|||
|
1 |
Annual Rate |
12% |
||||
|
2 |
||||||
|
3 |
Period |
Cash Flow |
||||
|
4 |
0 |
$0 |
||||
|
5 |
1 |
- $100 |
||||
|
6 |
2 |
- $200 |
||||
|
7 |
3 |
- $300 |
||||
|
8 |
4 |
- $400 |
||||
|
9 |
5 |
- $500 |
||||
|
10 |
||||||
|
11 |
Future Value |
|||||
11
In: Finance
Marc and Michelle are married and earned salaries this year of $69,200 and $13,950 respectively. In addition to their salaries, they received interest of $350 from municipal bonds and $1,150 from corporate bonds. Marc contributed $3,150 to an individual retirement account, and Marc paid alimony to a prior spouse in the amount of $2,150. Marc and Michelle have a 10-year-old son, Matthew, who lived with them throughout the entire year. Thus, Marc and Michelle are allowed to claim a $2,000 child tax credit for Matthew. Marc and Michelle paid $7,300 of expenditures that qualify as itemized deductions and they had a total of $6,330 in federal income taxes withheld from their paychecks during the course of the year. (Use the 2018 tax rate schedules.)
What is the total amount of Marc and Michelle's deductions from AGI?
In: Accounting
The following table shows the U.S. rates of personal tax as of the year 2016, and these tax rates presented in this table are marginal tax rates. (This is Table 3.7 on Page 74 of your textbook.)
|
Single Taxpayers |
Married Taxpayers Filing Joint Returns |
Tax Rate (%) |
|
0-$9,275 |
0-$18,550 |
10.0 |
|
$9,276-$37,650 |
$18,551-$75,300 |
15.0 |
|
$37,651-$91,150 |
$75,301-$151,900 |
25.0 |
|
$91,151-$190,150 |
$151,901-$231,450 |
28.0 |
|
$190,151-$413,350 |
$231,451-$413,350 |
33.0 |
|
$413,351-$415,050 |
$413,351-$466,950 |
35.0 |
|
$415,051 and above |
$466,951 and above |
39.6 |
Based on this table, answering the following questions:
(Please show your intermediate processes, instead of just a final number for your answers. Only round your final answers to two decimal places.)
(a1) Suppose there is a person called Alpha who has an annual income of $300,000 and Alpha’s spouse has an annual income of $20,000. What dollar amount of tax do Alpha and Alpha’s spouse each need to pay respectively, if they choose to file their taxes separately? What dollar amount of tax do they need to pay if they choose to file their taxes jointly?
(a2) What are the average tax rates for Alpha and Alpha’s spouse respectively, if they choose to file separately? What is the average tax rate if they choose to file jointly?
(b1) Suppose there is another person called Beta who has an annual income of $160,000 and Beta’s spouse also has an annual income of $160,000. What dollar amount of tax do Beta and Beta’s spouse each need to pay respectively, if they choose to file their taxes separately? What dollar amount of tax do they need to pay if they choose to file their taxes jointly?
(b2) What are the average tax rates for Beta and Beta’s spouse respectively, if they choose to file separately? What is the average tax rate if they choose to file jointly?
(c) Based on what you obtained from (a1) to (b2), what are the conclusions you could infer regarding the ways of filing taxes? (What are the advantages and disadvantages of these two ways?)
In: Finance
The client is a 5 year old girl. The teacher tells the client’s mother that the daughter appears inattentive and stares out into spare several time throughout the day in which she saw the rapidly during these episode, lasting a minute or two. The provider suspects the client is experiencing a type of seizure disorder and has order a liquid antiepileptic medication?
In: Nursing
Show work by hand
Determine the depreciation deduction for the fourth year for an asset with a cost basis of $50,000 and market value of $15,000 at the end of its ten-year useful life. Use the GDS (MACRS) and ADS (MACRS) methods to calculate the depreciation.
In: Accounting
In: Biology
A property is expected to have NOI of $100,000 the first year. The NOI is expected to increase by 3 percent per year thereafter. Assume that the appraiser would estimate the value in year 10 by using a 10 percent capitalization rate. The appraised value of the property is currently $1 million and the lender is willing to make a 90 percent LTV loan with a contract interest rate of 9 percent, and it will be amortized with fixed monthly payments over a 20-year term. It will be a convertible mortgage loan that will give the lender the option to convert the mortgage balance into a 60 percent equity position at the end of year 10. That is, instead of receiving the payoff on the mortgage, the lender would own 60 percent of the property. Assume that the borrower will default if the property value is less than the loan balance in year 10, in which case the property is transferred to the lender.
a. Calculate the investor’s before-tax IRR. Show and explain all calculations. Should the building be purchased? Why or why not?
b. Calculate the lender’s IRR. Show and explain all calculations.
c. Calculate the lender’s IRR if the property instead sells for only $1 million after 10 years. Show and explain all calculations. d. Calculate the lender’s IRR if the property instead sells for only $500,000 after 10 years. Show and explain all calculations.
In: Finance
A ) You have entered the following opening balances for the start of the financial year.
General Ledger:
Accounts Receivable $120,000
Accounts Payable $115,000
Subsidiary Ledger:
| Customer Balances | Suppliers Balances | |||
| Ames Industries | 30,000 | Cantor & Son | 28,000 | |
| Ballas Pty Ltd | 40,000 | Hays Inc | 22,000 | |
| Gore Inc | 25,000 | Lawes Pty Ltd | 50,000 | |
| Majam Pty Ltd | ? | Kahn Industries | ? | |
Unfortunately you cannot read the amount for the last name in each list. You are, however, able to calculate them as:
Select one:
a. Majam Pty Ltd 15,000 and Kahn Industries 25,000
b. Majam Pty Ltd 25,000 and Kahn Industries 25,000
c. Majam Pty Ltd 25,000 and Kahn Industries 15,000
d. Majam Pty Ltd 15,000 and Kahn Industries 15,000
B)
Select the most appropriate definition of an account:
Select one:
a. Detailed record of changes that have occurred
b. Basic summary device
c. Unsold goods on hand
d. Both a and b
D)
Select the most appropriate order of a transaction:
1 Post to subsidiary ledger
2 Post to general ledger
3 Transaction recorded in journal
4 Source documents gathered
Select one:
a. 4, 1, 2, 3
b. 4, 3, 1, 2
c. 4, 2, 3, 1
d. 4, 3, 2, 1
In: Finance