A bond has annual coupons, $1000 par value, 2 years to maturity, 8% coupons and a 6% yield. Calculate the Macaulay Duration. The settlement date (purchase date) is 1/1/2030 and maturity date is 1/1/2032.
Give your answer to two decimal place.

Answers

Answer 1

Answer:

The answer is "1.93 years".

Explanation:

[tex]Macaula \ \ duration \ \ \ \ \ \ \ \ \ \ 1000 \times 8\%\\\\[/tex]

[tex]years \ \ \ \ cash \ flows \ \ \ \ pv\ of \ 6\%\ \ \ \ present \ value \ \ \ \ current \ value \ \ \ \ pv/current \ value \ \ \ \frac{pv}{cp}\times t[/tex][tex]\$80.00\ \ \ \ \ \ \ 0.9434 \ \ \ \ \ \ \ \$75.472 \ \ \ \ \ \ \ \$1,036.67 \ \ \ \ \ \ \ 0.0728 \ \ \ \ \ \ \ 0.0728\\\\\$ 1,080.00 \ \ \ \ \ \ \ 0.8900 \ \ \ \ \ \ \ \$961.196 \ \ \ \ \ \ \ \$1,036.67 \ \ \ \ \ \ \ 0.9272 \ \ \ \ \ \ \ 1.8544\\\\[/tex]

                                             [tex]\$ 1,036.668 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1.92772\\\\[/tex]

that's why the Macaula duration is 1.93 years.


Related Questions

Bonita Industries has several outdated computers that cost a total of $18400 and could be sold as scrap for $6400. They could be updated for an additional $3100 and sold. If Bonita updates the computers and sells them, net income will increase by $9000. At what price were the updated versions sold?

a. 13,400
b. 6600
c. 6800
d. 8000

Answers

Answer:

the updated version should be sold at $18,500

Explanation:

The computation of the selling price is given below:

= Sale value of scrap + additional amount sold + increase of net income

= $6,400 + $3,100 + $9,000

= $18,500

Hence, the updated version should be sold at $18,500

This is the answer but the same is not provided in the given options

A firm sells a product in a perfectly competitive market. The marginal cost of the product at the current output level of 500 units is $1.50. The minimum possible average variable cost is $1. The market price of the product is $1.25. To maximize profits, the firm should

Answers

Answer:

decrease production to less than 500 units

Explanation:

The correct answer is: d. increase production to more than 500 units.

In our question, we have the following information:

q
=
500
A
V
C
m
i
n
=
$
1
M
C
=
$
1.5
P
=
$
1.25

A perfectly competitive firm shuts down in the short run if the market price is less than the minimum average variable cost. For this firm,
P
>
A
V
C
m
i
n
. Therefore, the firm should not shut-down.

A perfectly competitive firm maximizes its profits by producing at the point where P=MC. For this firm, P

Sometimes the exports of developing nations are concentrated in only one or a few primary products.

a. True
b. False

Answers

Answer:

I think true if not sorry:-(

I agree with the answer above me!

Suppose that the tax on interest income is levied on the nominal interest​ rate, the tax rate is 20 ​percent, and the real interest rate is 4 percent a year. There is no inflation.
Calculate the​ after-tax real interest rate and the true tax rate on interest income.

Answers

Answer:

After-tax interest rate ⇒ 3.2%True tax on interest income ⇒ 20%

Explanation:

After-tax real interest rate:

= Real interest rate * (1 - tax rate)

= 4% * (1 - 20%)

= 4% * 80%

= 3.2%

True tax on interest income:

= 20%

True tax on interest income is the tax rate levied on the nominal interest rate which is 20%.

On a bank reconciliation, a bank fee for check printing not yet recorded by the company is: A. Noted as a memorandum only. B. Added to the book balance of cash. C. Deducted from the book balance of cash. D. Added to the bank balance of cash. E. Deducted from the bank balance of cash.

Answers

Answer:

C) Deducted from the book balance of cash

Explanation:

bank reconciliation can be regarded as process where by bank account balance in an entity’s books of account is been reconciled to balance that is been reported by the financial institution Using the recent bank statement. It should be noted that On a bank reconciliation, a bank fee for check printing not yet recorded by the company is Deducted from the book balance of cash

Your firm has $45.0 million invested in accounts receivable, which is 90 days of net revenues. If this value could be reduced to 50 days, what annual increase in income would your firm realize if the increase in cash could be invested at 7.5 percent

Answers

Solution :

Number of days = 90 days

Amount invested = $45 million

So the current earnings is [tex]$\$45 \text{ million } \times 1.075 \text{ in}\ \ 90 \text{ days}$[/tex]

The number of days is reduced to 50 days. So we can now make the same amount in just 50 days.

So the net increase is what we will make in the remaining [tex]40[/tex] days.

If in 50 days, we earn 0.075 return, then we can consider 50 days as [tex]t=1.[/tex]

Then the [tex]50[/tex] days = [tex]45 \times 0.075^1[/tex]  return, and

[tex]40[/tex] days = [tex]45 \times (0.075)^{40/50}[/tex]

             [tex]=45 \times (0.075)^{4/5}[/tex]

              = [tex]\$ 5.66580371[/tex] million increase

              = $ 5.7 million

Your uncle offers you a choice of $112,000 in 10 years or $51,000 today. Use Appendix B as an approximate answer, but calculate your final answer using the formula and financial calculator methods. a-1. If money is discounted at 8 percent, what is the present value of the $112,000

Answers

Answer:

the present value of the $112,000 is $51,856

Explanation:

The computation of the present value is given below:

Present Value = Amount × Present value factor at 8% for 10 years

= $112,000 × 0.463

= $51,856

hence, the present value of the $112,000 is $51,856

We simply applied the above formula so that the correct amount could come

information of samriyan enterprises is given below.a)Started bussiness with Rs 20000 b) purchase good of Rs 15000 from Ram.c)Goods sold on cash Rs 18000 d)Cash paid Ram Rs 10000 e)A gain goods purchase from Ram of rs 20000 f) Paid to Ram Rs 24000 in full settlement of his account.Required a) journal entries​

Answers

Answer:

a) Dr: Cash 20000

Cr: Equity/Capital 20000

b) Dr: Goods 15000

Cr: Payable 15000

c) Dr: Cash 18000

Cr: Sales 18000

d) Dr: Payable 10000

Cr: Cash 10000

e) Dr: Goods 20000

Cr: Payable 20000

f) Dr: Payable 30000

Cr: Cash 24000

Cr: Profit and Loss 6000

On January 1, Baker Co. purchased equipment for $100,000. It has an estimated useful life of five years and its residual value is $10,000. The company has a calendar year-end. Using the straight-line method, depreciation expense for the first year of its life equals:

Answers

Answer:

Explanation:

No dia do meu aniversário caraaaa

When customers interact with technology and machines, the variability of the service encounter is reduced by

Answers

Answer: The standardization of equipment

its the right answer trust me !

When customers interact with technology and machines, the variability of the service encounter is reduced by the standardization of equipment. Thus, the correct option is C). the standardization of equipment

What is the importance of standardization of equipment?

Standardization refers to the process of making something by implementing and developing technical standards. Standardization of equipment means improving the quality of equipment.

Standardization results in the improved clarity which makes the individual clear about about what they what they need to do and guesswork is eliminated. It offers higher quality by which employees can refine their methods and produce better results.

It also results in increased productivity as tasks become faster and easier with repetition.

Complete question is here:-  When customers interact with technology and machines, the variability of the service encounter is reduced by A). societal norms   B). complexity   C). the standardization of equipment   D). the customer's preferences

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changing nature of the environment and adaptation to the changes are crucial factors of successful planning. discuss

Answers

Explanation:

societies (robust evidence, high agreement). The combined efforts of a broad range of international organizations, scientific reports, and

media coverage have raised awareness of the importance of adaptation to climate change, fostering a growing number of adaptation responses

in developed and developing countries. This represents major progress since the IPCC Fourth Assessment Report (AR4). The literature illustrates

heterogeneity in adaptation planning related to the context specific nature of adaptation, but also to the differences in resources, values,

needs, and perceptions among and within societies. However, it is not yet clear how effective these responses currently are and will be in the

future. Few adaptation plans have been monitored and evaluated. There is a tendency in the literature to consider adaptation planning a problem-

free process capable of delivering positive outcomes, underestimating the complexity of adaptation as a social process, creating unrealistic

expectations in societies, and perhaps overestimating the capacity of planning to deliver the intended outcome of adapt

Landon Stevens is evaluating the expected performance of two common stocks, Furhman Labs, Inc., and Garten Testing, Inc. The risk-free rate is 4.4 percent, the expected return on the market is 10.6 percent, and the betas of the two stocks are 1.4 and 0.7, respectively. Stevens’s own forecasts of the returns on the two stocks are 10.60 percent for Furhman Labs and 10.50 percent for Garten.

Required:
a. Calculate the required return for each stock.
b. Is each stock undervalued, fairly valued, or overvalued?

Answers

Answer:

a. Furhman Labs, Inc. : 13.08%

Garten Testing, Inc. : 8.74%

b. Furhman Labs

the stock is undervalued

Garten Testing

the stock is overvalued

Explanation:

According to the capital asset price model: Expected rate of return = risk free + beta x (market rate of return - risk free rate of return)

Furhman Labs, Inc. : 4.4 + 1.4(10.6 - 4.4) = 13.08%

Garten Testing, Inc. : 4.4 + 0.7(10.6 - 4.4) = 8.74%

A stock is overvalued if its intrinsic value is less than the forecast, and, it is undervalued if its intrinsic value is greater than the forecast

Furhman Labs, intrinsic value = 13.08

forecasted value = 10.60

the stock is undervalued

Garten Testing, Inc , intrinsic value = 8.74%

forecasted value = 10.50

the stock is overvalued

Brown Co. issued $100 million of its 10% bonds on April 1, 2016, at 99 plus accrued interest. The bonds are dated January 1, 2016, and mature on December 31, 2035. Interest is payable semiannually on June 30 and December 31. What amount did Brown receive from the bond issuance?
a) $87.8 million
b) $99.0 million
c) $100.0 million
d) $101.5 million

Answers

Answer:

d) $101.5 million

Explanation:

The computation of the amount received from the bond issuance is given below:

Interest Rate: 10%

Time period: 3 months (from 01.01.2016 to 31.03.2016)

Par Value=$100 million

Accrued Interest be 2.53 million

So,  

Amount receive from Bond Issuance is

= 99 + 2.53

= $101.5 million

A company had net income of $43,000, net sales of $380,500, and average total assets of $220,000. Its profit margin and total asset turnover were, respectively:

a. 11.3%; 1.73
b. 11.3%; 19.5
c. 1.7%; 19.5
d. 1.7%; 11.3
d. 19.5%; 11.3

Answers

Answer:

11.3%, 1.73

Explanation:

Net income= 43,000

Net sales= 380,500

Total assests= 220,000

Therefore profit margin can be calculated as follows=

Net income/sales

= 43000/380,500

= 0.113×100

= 11.3%

Total assets turnover can be calculated as follows

= 380,500/220,000

= 1.73

the Hence profit margin is 11.3% and total assets turnover is 1.73

Department M had 2,000 units 56% completed in process at the beginning of June, 13,500 units completed during June, and 1,000 units 28% completed at the end of June. What was the number of equivalent units of production for conversion costs for June if the first-in, first-out method is used to cost inventories? a.14,780 units b.13,780 units c.12,660 units d.11,500 units

Answers

Answer:

c.12,660 units

Explanation:

Calculation to determine What was the number of equivalent units of production for conversion costs for June if the first-in, first-out method is used to cost inventories

Using this formula

EUP (FIFO) = Completed Units + Ending units - Beginning units

Let plug in the formula

EUP (FIFO)=13,500 +( 1,000 x 28%)- (2,000 x 56%)

EUP (FIFO)= 13,500+280-$1120

EUP (FIFO)=12,660 units

Therefore the number of equivalent units of production for conversion costs for June if the first-in, first-out method is used to cost inventories is 12,660 units

Galaxy Air, previously a no-growth firm, has two million shares outstanding. Until now, it consistently earned $20 million per year on its assets. (It has no debt and pays out all earnings as dividends. Its cost of capital is 10 percent.) Due to its newly appointed CEO, Galaxy Air is now able to squeeze out 1 percent annual growth by plowing back 5 percent of earnings. Calculate its stock price per share

Answers

Answer: $106.61

Explanation:

The following can be deduced from the information given:

Net Income = $20

Weighted Average no. of shares = 2

Earning per share (EPS) = $20/2 = $10

DPS =(100% - 5%) of EPS

= 95% × $10 = $9.5

Growth Rate (g) = 1%

Cost of equity (Ke) = 10%

DPS1 = [9.5 × (1+0.01)] = 9.595

Price of Stock will now be

= Po = DPS1/(Ke-g)

= 9.595/(0.10-0.01)

= 106.61

PLEASE HELP! WILL MARK BRAINLIEST!! 10 POINTS
Assume a visitor from another nation decides to open a checking account at J & R National Bank. The visitor deposits $20,000 that is new money to the Macro Islands economy. The central bank has set a required reserve ratio of 10%.
What is the change in the total amount that J & R National Bank can loan out? Explain.
Calculate the total amount that the bank can create? (Calculate means show your work.)
Now assume that the Macro Islands government decides to increase spending to fund new projects that will bring in more visitors. Explain what will happen to the demand for loanable funds and real interest rates as a result.

Answers

Answer: a)$18,000 and b)$200,000

Explanation:

a) Deposit = $20,000

Reserve=10%

=10%x20,000 =$2,000

Loan - Deposit = 20,000-2,000 = 18,000

b) 1/Req. Rate Return* loan amount

20,000/10% =$200,000

This encourages spending so there is a shift up and to the right.

As the government increases spending, demand for loans increases and therefore increases the interest rates.

I welcome Brainliest thanks.

Các yếu tố nào cần được so sánh khi tiến hành định giá công việc

Answers

Answer:

dndjdjojuiuhuhahuhauhahhahu

During the week, we will explore the differences between cash-basis and accrual-basis accounting, and learn the steps required to complete the accounting cycle. With that in mind, let's begin by discussing the following question:
Why do companies make adjusting entries?

Answers

Answer and Explanation:

Adjusting entries is to made for recording all types of expenses and revenues in a correct manner. There are some transactions such as accrued interest or revenue that could be realize at the time when the entries are depend upon the documents and transactions should be recorded. It is to be made in order to prepared the correct financial statements by considering the prepaid expenses that are adjusted, depreciation expense, unearned revenue etc

Suppose a market is initially in equilibrium and demand decreases. The producer surplus will:_____.
a. be higher since the price is lower and equilibrium moves down along the supply curve.
b. be higher since the price is lower and equilibrium moves up along the supply curve.
c. be lower since the price is lower and equilibrium moves down along the supply curve.
d. be lower since the price is lower and equilibrium moves up along the supply curve.

Answers

Answer:

c. be lower since the price is lower and equilibrium moves down along the supply curve.

Dextra Computing sells merchandise for $16,000 cash on September 30 (cost of merchandise is $11,200). Dextra collects 9% sales tax. Record the entry for the $16,000 sale and its sales tax. Also record the entry that shows Dextra sending the sales tax on this sale to the government on October 15.

Answers

Answer:

See journal entries under the explanation below:

Explanation:

The journal entries will look as follows:

                                           Dextra Computing

                                             Journal Entries

Date          Particulars                                             Debit ($)      Credit ($)  

Sep 30     Cash                                                         17.440

                  Sales                                                                            16,000

                  Sales Taxes Payable ($16,000 * 9%)                           1,440

                 (To record the cash sale and 9% sales tax)                              

                 Cost of Goods Sold                                 11,200

                   Merchandise Inventory                                              11,200

                 (To record the cost of sales.)                                                    

Oct 15       Sales Taxes Payable ($16,000 * 9%)        1,440

                   Cash                                                                             1,440

                 (To record sending sales tax to the government.)                  

Entries for Installment Note Transactions On the first day of the fiscal year, Shiller Company borrowed $63,000 by giving a five-year, 12% installment note to Soros Bank. The note requires annual payments of $17,773, with the first payment occurring on the last day of the fiscal year. The first payment consists of interest of $7,560 and principal repayment of $10,213. Journalize the entries to record the following:

a. Issued the installment note for cash on the first day of the fiscal year.
b. Paid the first annual payment on the note. For a compound transaction, if an amount box does not require an entry, leave it blank.
c. Explain how the notes payable would be reported on the balance sheet at the end of the first year.

Answers

Answer:

Shiller Company

Journal Entries:

a) Jan. 1 Debit Cash $63,000

Credit 12% Note Payable (Soros Bank) $63,000

To record the issuance of the five-year, 12% installment note.

December 31: Debit Note Payable (Soros Bank) $10,213

Debit Interest Expense $7,560

Credit Cash $17,773

To record the first repayment, including interest.

c. The notes payable would be reported as Long-term Liability at $52,787.

Explanation:

a) Data and Analysis:

Jan. 1 Cash $63,000 12% Note Payable (Soros Bank) $63,000

Issuance of a five-year, 12% installment note.

December 31: Note Payable (Soros Bank) $10,213 Interest Expense $7,560 Cash $17,773

Balance of Notes Payable on December 31:

Amount of note = $63,000

Repayment =           (10,213)

Balance of note = $52,787

Welcome Inn Hotels is considering the construction of a new hotel for $90 million. The expected life of the hotel is 30 years, with no residual value. The hotel is expected to earn revenues of $26 million per year. Total expenses, including depreciation, are expected to be $15 million per year. Welcome Inn management has set a minimum acceptable rate of return of 14%.
a. Determine the equal annual net cash flows from operating the hotel.
b. Calculate the net present value of the new hotel. Use 7.003 for the present value of an annuity of $1 at 14% for 30 periods.
c. Does your analysis support construction of the new hotel?

Answers

Answer:

a. Annual Net cash flows:

= Revenue - Expenses + Depreciation

= 26,000,000 - 15,000,000 + (90,000,000 / 30 years)

= 11,000,000 + 3,000,000

= $14,000,000

b. Net present value:

= Present value of cashflows - Investment cost

= (Annual cashflow * present value of an annuity, 14%, 30 periods) - Investment cost

= (14,000,000 * 7.003) - 90,000,000

= $8,042,000

c. Company should construct the hotel as it would bring a positive Net Present Value

Note: In "b" the cashflow was treated as an annuity because it is constant.

A parcel delivery company delivered 103,600 packages last year, when its average employment was 83 drivers. This year, the firm handled 112,160 deliveries with 93 drivers. What was the percentage change in productivity over the past years?

Answers

Answer: -3.38%

Explanation:

The percentage change in productivity over the past years will be calculated thus:

The Productivity will be the total packages handled divided by the number of drivers employed.

Last year Productivity will be:

= 103600/83

= 1248.19 packages per driver

This year Productivity will be:

= 112160/93

= 1206.02 packages per driver

Therefore, the percentage change in productivity = (This year Productivity - Last year Productivity) / (Last year Productivity) ×100

= [(1206.02-1248.19) / (1248.19)] × 100

= -42.17/1248.19 × 100

= -3.38%

Describe how you will operate your business

Answers

Describe how you will operate your business in terms of your involvement. If I were to own and operate my own business, I would make sure to have a good management team in place that can handle business happenings incase I am not able to be there. I would want to be highly involved from training employees at lower levels, to making sure those who work in high positions all carry out the same ethics I would like the company to encompass. It would be important for me to be as involved and present in the business I own as possible

Compute the amount of raw materials used during November if $32,000 of raw materials were purchased during the month and if the inventories were as follows:
Inventories Balance November 1 Balance November 30
Raw materials $7,800 $4,400
Work in process $6,400 $7,900
Finished goods $10,400 $12,400
a. $40,500.
b. $40,300.
c. $37,800.
d. $43,800.

Answers

Answer:

Results are below.

Explanation:

Giving the following information:

Purchases= $32,000

Beginning inventory= $7,800

Ending inventory= $4,400

To calculate the direct material used, we need to use the following formula:

Direct material used= beginning inventory + purchases - ending inventory

Direct material used= 7,800 + 32,000 - 4,400

Direct material used= $35,400

An investment center generated a contribution margin of $400,000, fixed costs of $200,000 and sales of $2,000,000. The center's average operating assets were $800,000. How much is the return on investment

Answers

Answer: 25%

Explanation:

Contribution margin = $400,000

Fixed costs = $200,000

Sales = $2,000,000

Average operating assets = $800,000

The return on investment will be:

= (contribution margin - fixed cost) / average operating assets

= (400000 - 200000) / 800,000

= 200000 / 800000

= 25%

The return in investment is 25%.

For a certain item, the cost-minimizing order quantity obtained with the basic EOQ model is 350 units, and the total annual inventory (holding and order) cost is $1050. What is the inventory holding cost per unit per year for this item

Answers

Answer: $3 per unit per year

Explanation:

Inventory holding cost per unit for this item is:

= Total Annual inventory carrying cost / Average inventory

Total Annual inventory carrying cost = Total annual inventory / 2

= 1,050 / 2

= $525

Average inventory = EOQ / 2

= 350 / 2

= 175 units

Inventory holding cost per unit = 525 / 175

= $3 per unit

The formula to determine the materials to be purchased is Multiple choice question. (budgeted production times materials required for each unit) plus budgeted ending materials inventory minus beginning materials inventory (budgeted production divided by materials required for each unit) plus budgeted ending materials inventory minus beginning materials inventory (budgeted production times materials required for each unit) minus budgeted ending materials inventory plus beginning materials inventory (budgeted production divided by materials required for each unit) minus budgeted ending materials inventory plus beginning materials inventory

Answers

Answer: (budgeted production times materials required for each unit) plus budgeted ending materials inventory minus beginning materials inventory.

Explanation:

Gluon Inc. is considering the purchase of a new high pressure glueball. It can purchase the glueball for $220,000 and sell its old low-pressure glueball, which is fully depreciated, for $40,000. The new equipment has a 10-year useful life and will save $48,000 a year in expenses. The opportunity cost of capital is 10%, and the firm’s tax rate is 21%. What is the equivalent annual saving from the purchase if Gluon can depreciate 100% of the investment immediately. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Answers

EQUIVALENT ANNUAL SAVING:

"the equivalent annual saving from the purchase if Gluon can depreciate 100% of the investment immediately is $13,245.99".

Since they are  purchasing the new machine by first disposing off the old machine.

Hence,

First step is to Determine the Net initial investment

Net initial investment = $220,000 - $40,000

Net initial investment= $180,000

Second step is to determine the Total savings

Depreciation = $220,000/10

Depreciation = $22,000

Savings before tax = $48,000 - $22,000

Savings before tax= $26,000

Tax at 21% = (21%*$26,000)

Tax at 21% =$5,460

Savings after tax  $20,540

($26,000-$5,460)

Add back depreciation $22,000

Cash flow after tax $42,540

($20,540+$22,000)

Third step is to determine PV of CFAT and NPV

PV of CFAT = $42,540 x (10%, PVFA10Y)

PV of CFAT = $42,540 x 6.1446

PV of CFAT = $261,391

NPV = $261,391 - $180,000 = $81,391

Now let determine the EQUIVALENT ANNUAL SAVING(EAS)

Equivalent annual saving(EAS) = NPV/(10%, PVFA10Y)

Equivalent annual saving(EAS)= $81,391/6.1446

Equivalent annual saving(EAS)= $13,245.99

Therefore the EQUIVALENT ANNUAL SAVING from the purchase if Gluon can depreciate 100% of the investment immediately is $13,245.99

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