A 20-year maturity bond with face value of $1,000 makes annual coupon payments and has a coupon rate of 9.40%. (Do not round intermediate calculations. Enter your answers as a percent rounded to 3 decimal places.)
a. What is the bondâs yield to maturity if the bond is selling for $1,040?
Yield to maturity %
b. What is the bondâs yield to maturity if the bond is selling for $1,000?
Yield to maturity %
c. What is the bondâs yield to maturity if the bond is selling for $1,240?
Yield to maturity %
Answers
Answer and Explanation:
The computation of the yield to maturity is shown below:
a. When the bond sale price is $1,040
Given that
FV = $1,000
PV = $1,040
PMT = $1,000 × 9.40% = $94
NPER = 20
The formula is shown below:
= RATE(NPER;PMT;-PV;FV;TYPE)
After applying the above formula, the yield to maturity is 8.9630%
b. When the bond sale price is $1,000
Given that
FV = $1,000
PV = $1,000
PMT = $1,000 × 9.40% = $94
NPER = 20
The formula is shown below:
= RATE(NPER;PMT;-PV;FV;TYPE)
After applying the above formula, the yield to maturity is 9.4%
c. When the bond sale price is $1,240
Given that
FV = $1,000
PV = $1,240
PMT = $1,000 × 9.40% = $94
NPER = 20
The formula is shown below:
= RATE(NPER;PMT;-PV;FV;TYPE)
After applying the above formula, the yield to maturity is 7.1144%
Related Questions
Ace Industries has current assets equal to $5 million. The company's current ratio is 2.0, and its quick ratio is 1.6. What is the firm's level of current liabilities? What is the firm's level of inventories?
Answers
Answer:
=1.25
Explanation:
Current ratio= current asset/ current liabilities
Current ratio= $5 million./ Current Liabilities
Cross multiply we have
But current ratio is 2.0
2= 5/ current liabilities
current liabilities= 5/2
=2.5million
Quick ratio= current Asset- inventory/current liabilities
1.5=( 5- inventory)/2.5
Cross multiply we have
1.5×2.5= ( 5- inventory)
3.75= ( 5- inventory)
inventory= 5-3.75
=1.25
Therefore, the firm's level of inventories is 1.25
Using the following year-end information for Bauman, LLC, calculate the current ratio and acid-test ratio:_______. Cash $70,200 Short-term investments 12,800 Accounts receivable 49,500 Inventory 242,000 Prepaid expenses 18,000 Accounts payable 100,500 Other current payables 28,000a. 3.05 and 1.03. b. 2.91 and .97. c. 1.17 and 3.91. d. .97 and 3.05.
Answers
Answer:
a. 3.05 and 1.03
Explanation:
The formula for current ratio is
= Current assets/Current liabilities
= (Cash + Short term investment + Accounts receivable + Inventory + Prepaid expenses) / (Accounts payable + Other current payables)
= (70,200 + 12,800 + 49,500 + 242,000 + 18,000) / (100,500 + 28,000)
= 392,500 / 128,500
= 3.05
The formula for Acid test ratio is
= Quick Assets / Current liabilities
= (Cash + Short term investment + Accounts receivable) / (Accounts payable + Other current payables)
= (70,200 + 12,800 + 49,500) / (100,500 + 28,000)
= 132,500 / 128,500
= 1.03
Describe how the IRR is calculated, and describe the information this measure provides about a sequence of cash fl ows. What is the IRR criterion decision rule?
Answers
Answer:
The Internal Rate of Return is the discount rate that discounts a series of cashflows such that the Net Present Value becomes zero.
It is calculated in the same way the NPV is calculated which is to subtract the discounted cash outflows from the discounted cash inflows but this time it will be the subject of the equation which will be equated to zero.
Formula therefore is;
[tex]\frac{Cf_{1} }{(1 + IRR_{1} )} + \frac{Cf_{2}}{(1 + IRR_{2} )^{2} } + \frac{Cf_{n} }{(1 + IRR_{n} )^{n} } - Cf_{0} = 0[/tex]
Excel worksheets, financial calculators and solving the equation can all be used to find IRR.
The higher the IRR, the better for a project because it means that the project has high cash inflows that would take a higher rate to discount to zero.
The decision rule is the pick a project that has a higher IRR than the firm's Required rate of return because it means that the NPV will be more than zero.
Company X has 100 shares outstanding. It earns $1,000 per year and announces that it will use all $1,000 to repurchase its shares in the open market instead of paying dividends. Calculate the number of shares outstanding at the end of year 1, after the first share repurchase, if the required rate of return is 10 percent.a) 110.0
b) 100.0
c) 90.91
d) 89.0
Answers
Answer:
d) 89.0
Explanation:
The value of the company today is the present value of its cash flows in perpetuity which is the cash flows divided by the required rate of return.
value of the firm=$1000/10%=$10,000
share price=value of the firm/shares outstanding
share price=$10,000/100=$100
number of shares to be repurchased=$1000/$100=10
number of shares after repurchase=100-10=90
note that when 90.91 is rounded to a whole, it turns out to be 92 while 89 is rounded to 90
how long will it take 13,000 to grow to 18,000 if the investment earns at the interest rate of 3% compunded monthly
Answers
Answer:
130 months
Explanation:
The computation of the time period is shown below:
Given that
Present value = $13,000
Future value = $18,000
PMT = $0
RATE = 3% ÷ 12 = 0.25%
The formula is shown below:
= NPER(RATE;PMT;-PV;FV;TYPE)
The present value comes in positive
After applying the above formula, the time period is 130 months
Therefore the time that should be needed is 130 months
Sean and Jenny are married, file a joint return and have two dependent children, Blake, age 9 and Jake, age 5. Sean has earned income of $72,000. Jenny was a full-time student (for nine months) with no income. They paid a qualified day care center $7,000. What amount of child and dependent care credit can Sean and Jenny receive?
a. $600.
b. $900.
c. $1,000.
d. $1,200.
Answers
Answer:
$900
Explanation:
Calculation for What amount of child and dependent care credit can both Sean and Jenny receive
Child and dependent care credit=($500 * 9 months *20 %
Child and dependent care credit=$900
Note that $500 is the standard amount while the 20% is the tax credit
Therefore the amount of child and dependent care credit can both Sean and Jenny receive will be $900
Manuel and Poornima White live in Swarthmore, PA. Poornima's father, Shen, lives in Sweden. For each of the following transactions, identify whether it is included in the calculation of U.S. GDP as part of consumption (C), investment spending (I), government purchases (G), exports (X), or imports (IM).
a. A product’s inclusion in one category does not necessarily imply that it is excluded from other categories.
b. The Federal Aviation Administration expands the runways at Philadelphia International Airport, which is just a few miles from Manuel and Poornima's house.
c. Poornima buys a new BMW, which was assembled in Germany.
d. Shen in Sweden orders a bottle of Vermont maple syrup from the producer's website.
e. Manuel's employer upgrades all of its computer systems using U.S.-made parts.
f. Poornima gets a new video camera that was made in the United States.
Answers
Answer:
a. The Federal Aviation Administration expands the runways at Philadelphia International Airport, which is just a few miles from Manuel and Poornima's house.
Identification: Government spending. This is the spending done by government in buying goods and services
b. Poornima buys a new BMW, which was assembled in Germany.
Identification: Imports. These are purchases by domestic consumers from foreign countries
c. Shen in Sweden orders a bottle of Vermont maple syrup from the producer's website.
Identification: Exports. These are purchases by foreign consumers from home countries
d. Manuel's employer upgrades all of its computer systems using U.S.-made parts.
Identification: Investment. It is a part of GDP if made in accumulation of capital and inventory
e. Poornima gets a new video camera that was made in the United States.
Identification: Consumption. This includes consumer's spending on durables and non-durable produced domestically.
Applying ExcelData Unit sales 10,000 unitsSelling price per unit $70 per unitVariable expenses per unit $42 per unitFixed expenses $140,000Enter a formula into each of the questions below. If your formulas are correct, you should get the correct answers to the following questions. Show your work and formulas.(a) What is the break-even in dollar sales?Break-even in dollar _____(b) What is the margin of safety percentage?Margin of safety percentage _____(c) What is the degree of operating leverage? (Round your answer to 2 decimal places.)Degree of operating leverage _____3. Using the degree of operating leverage and without changing anything in your worksheet, calculate the percentage change in net operating income if unit sales increase by 20%Percentage increase in the operating income _____4. Confirm your calculations in Requirement 3 above by increasing the unit sales in your worksheet by 20% so that the Data area looks like thisData Unit sales 12,000 unitsSelling price per unit $70 per unitVarable expenses per unit $42 per unitFixed expenses $140,000(a) What is the net operating income? (Negative amount should be indicated by a minus sign.)Net operating income (loss) _____(b) By what percentage did the net operating income increase?Percentage increase in net operating income _____%
Answers
Answer:
Please see solution below
Explanation:
a. Break even in dollar sales
= [ Fixed cost / Contribution margin ] × Selling price per unit
Fixed cost = $140,000
Selling price per unit = $70
Variable expenses per unit = $42
BEP in dollars = [$140,000 / $70 - $42] × $70
= $350,000
b. Margin of safety percentage
= [ Current sales level - Break even point / Current sales level ] × 100
Current sales level = 10,000 units
Break even point = Fixed cost / Contribution margin
= $140,000 / $70 - $42
= 5,000 units
Margin of safety = [10,000 - 5,0000/10,000 ] × 100
= 50%
C. Degree of operating leverage.
= Contribution margin / Net operating income
Contribution margin = $70 - $42 = $28
Net operating income
Sales ($70 × 10,000)
$700,000
Less Variable cost ($42 × 10,000)
$420,000
Contribution margin
$280,000
Less Fixed cost
$140,000
Net operating income
$140,000
Degree of operating leverage = $280,000 / $140,000
= 20%
D. Percentage in net income
Sales ($70 × 12,000)
$840,000
Less variable cost
$420,000
Contribution margin
$420,000
Less fixed cost
$140,000
Net operating income
$280,000
Percentage change in net income
= [$140,000 / $280,000] × 100
= 50%
Production possibilities frontiers usually curve out and away from the origin. The implication of this curvature is that:_________
a. the opportunity cost of producing a good stays the same regardless of how much of that good is produced.
b. the opportunity cost of producing a good goes down as more of that good is produced.
c. some resources are better at producing one good while other resources are better at producing alternative goods.
d. technological change is present.
e. as resources are used to produce one good, fewer resources are available to produce another good.
Answers
Answer:
The right response is Option C (Some resources..............goods).
Explanation:
It should be remembered whether PPF seems to be concave to something like the root, representing growing opportunity costs, in other words whenever one starts going down upon this PPF, the inventory cost between one item which requires to be substituted improves throughout addition maximize enhance the production of both of these commodities. The program is given when continuous and along output prospect boundary.Some other options offered are not relevant to the case described. So the solution here was the right one.
John Smith, a U.S. based businessman, paid the equivalent of $20 to an official of the country of Murundi to expedite the overnight delivery of critical documents. When questioned, John Smith claimed this was not a bribe. The $20 is an example of_______
a. a bribe.
b. an under-the-table payment.
c. a violation of the Foreign corrupt practices act.
d. a grease payment.
e. an inappropriate payment.
Answers
A series of monthly cash flows is deposited into an account that earns 12% nominal interest compounded monthly. Each monthly deposit is equal to $2,100. The first monthly deposit occurred on June 1, 2008 and the last monthly deposit will be on January 1, 2015. The account also has equivalent quarterly withdrawals from it. The first quarterly withdrawal is equal to $5,000 and occurred on October 1, 2008. The last $5,000 withdrawal will occur on January 1, 2015. How much remains in the account after the last withdrawal?
Answers
Answer:
The amount left in the account after last withdrawal is $61,945
Explanation:
The first monthly deposit occurred on June 1, 2008 and the last monthly deposit will be on January 1, 2015 = 80 deposit
Monthly deposit = 2,100
Interest rate = 12% / 1% per month
Firstly, we calculate the future worth of the monthly deposit
FW = A(F/A, i, n)
A = 2,100, i = 1%, n= 80
FW = $2100*[(1+0.01)^80 - 1 / 0.01]
FW = $2100*[2.216715 - 1 / 0.01]
FW = $2100*(121.671)
FW = $255,509.10
We calculate the effective interest rate
i(effective) = (1 + i nominal monthly interest rate)^n - 1
i `%, n = 3(no of months in quarter)
i (effective) = (1+0.01)^3 - 1
i (effective) = (1.01)^3 - 1
i (effective) = 1.030301 - 1
i (effective) = 0.030301
i (effective) = 3.0301%
The effective quarterly interest rate is 3.0301%
We calculate the future worth of the quarterly drawings
FW = A[(1+i)^n - 1 / i]
A = 5,000(drawing), i = 3.0301%, n = 26(number of drawings)
FW = 5,000*[(1+0.030301)^26 - 1 / 0.030301]
FW = 5,000*[2.17303717 - 1 / 0.030301]
FW = 5,000*(38.71282)
FW = $193,564.10
The future worth of the quarterly withdrawal is $193,564.10
We calculate the amount left in the account after last withdrawal
Amount left in account = FW(monthly deposits) - FW(quarterly drawings)
Amount left in account = $255,509.10 - $193,564.10
Amount left in account = $61,945
Thus, the amount left in the account after last withdrawal is $61,945
Accurate Metal Company sold 39,000 units of its product at a price of $390 per unit. Total variable cost per unit is $196, consisting of $187 in variable production cost and $9 in variable selling and administrative cost. Compute the manufacturing margin for the company under variable costing.
Answers
Answer:
Manufacturing margin = 7566000
Explanation:
given data
sold = 39,000 units
price = $390 per unit
Total variable cost = $196 per unit
variable production = $187
variable selling and administrative cost = $9
solution
first we get here the sales revenue that will be
sales revenue = 39000 × 390
sales revenue = 15210000
and
Cogs = 39000 × 196 = 7644000
so here Manufacturing margin will be
Manufacturing margin = 15210000 - 7644000
Manufacturing margin = 7566000
If the sales volume decreases by 25%, the variable cost per unit increases by 15%, and all other factors remain the same, net operating income will: (Do not round intermediate calculations.)
decrease by $3,125.
increase by $20,625.
decrease by $15,000.
decrease by $31,875.
Sales 3,000 Units
Sales Price $70
Variable Cost $50
Fixed Cost $25,000
Answers
Answer: decrease by $31,875
Explanation:
Net Operating income;
= Sales - variable cost - fixed cost
= (70 * 3,000) - ( 50 * 3,000) - 25,000
= $35,000
Sales volume decreases by 25%;
= 3,000 * ( 1 - 25%)
= 2,250 units
Variable cost per unit increases by 15%;
= 50 * ( 1 + 15%)
= $57.50
New Net Operating income;
= (70 * 2,250) - (57.50 * 2,250) - 25,000
= $3,125
Net Operating income change;
= 3,125 - 35,000
= -$31,875
Decrease by $31,875
imagine a trader buys a put option on a stock with a strike price of 500 and pays a premium of 25. what is the traders break-even point g
Answers
Answer: $475
Explanation:
Break even point is simply a point whereby the total revenue and the total cost are equal.
Based on the scenario given in the question, the traders break-even point will be 500 - 25 = 475
The answer is $475
A company currently using an inspection process in its material receiving department is trying to install an overall cost reduction program. One possible reduction is the elimination of one inspection position. This position tests items for which the probability of a material defect averages 0.01. By inspecting all items, the inspector is able to remove all defects. The inspector can inspect 50 units per hour. The hourly rate including fringe benefits for this position is $10. If the inspection position is eliminated, defects will go into product assembly and will have to be replaced later at a cost of $11 each when they are detected in final product testing.
Assume that the line will operate at the same rate (i.e., the inspection rate) if the inspection operation was eliminated.
a-1. If the inspector position is eliminated, what will the hourly cost of defects be? (Round your answer to 2 decimal places.)
Cost per hour $
a-2. Should this inspection position be eliminated based on costs alone?
Yes
No
b. What is the cost to inspect each unit? (Round your answer to 2 decimal places.)
Cost per unit $
c. Is there benefit (or loss) from the current inspection process? How much? (Input all amounts as positive values. Round your answers to 2 decimal places.)
Hourly Per unit
(Click to select)LossBenefit $ $
Answers
Answer:
a-1. If the inspector position is eliminated, the defects will not be detected. These cost the company $11 to replace.
Defects per hour = 50 * 0.01 = 0.5 units
Cost per hour = 0.5 * 11 = $5.50
a-2. Based on costs alone, the inspection position should be eliminated. This is because the cost of having the Inspection position is $10 but it would only cost the company $5.50 if the position was not there so the cost of the inspection position is more than the cost incurred if it wasn't there.
b. = Inspection fees/ Units inspected per hour
= 10/50
= $0.50 per unit
c. Cost without Inspection is $5.50. With Inspection is $10.
Hourly Loss = 5.50 - 10
= -$4.50
Per unit loss = -4.50/50
= -$0.09
Assume the bondâs quoted ("clean") price is $1,044.56, the bond has the coupon rate of 8.1% and that the coupons are paid semiannually. Further assume that the bond has the face value of $1,000. What is the bondâs invoice ("dirty") price if the last coupon payment took place four months ago?
Answers
Answer:
$1,071.56
Explanation:
Calculation for the
Clean price is the bond's invoice ("dirty") price
Using this formula
Dirty price= Clean price + ( Face value × Coupon rate × No. of months ÷ Total number of months in a year)
Let plug in the formula
Dirty price=$1,044.56 +($1,000 × 8.1% × 4 ÷ 12)
Dirty price= $1,044.56 + $27
Dirty price= $1,071.56
Therefore the bond's invoice ("dirty") price will be $1,071.56
which fiscal policy would most likely result in the largest budget deficit
Answers
Answer:
If the question asks for the largest SURPLUS the answer will be
High Taxation and Low Spending
Explanation:
There are two different questions make sure you read it correctly!!!!
The fiscal policy that would most likely result in the largest budget deficit is expansionary fiscal policy.
What is fiscal policy?Fiscal policy refers to the use of the government budget to affect the economy. This includes government spending and levied taxes. The policy is said to be expansionary when the government spends more on budget items such as infrastructure or when taxes are lowered.
Such policies are typically used to boost productivity and the economy. Conversely, the policy is contractionary when government spending decreases or taxes rise. Contractionary policies might be used to combat rising inflation. Generally, expansionary policy leads to higher budget deficits, and contractionary policy reduces deficits. Expansionary Policy is when governments can spend beyond their tax-based budgetary constraints by borrowing money from the private sector. The U.S. government issues Treasury Bonds to raise funds, for example.
To meet its future obligations as a debtor, the government must eventually increase tax receipts, cut spending, borrow additional funds or print more dollars.
Learn more about fiscal policy, here:
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When an increase in government purchases causes firms to purchase additional plant and equipment, we have seen a demonstration of a. the multiplier effect. b. the investment accelerator. c. the crowding-out effect. d. supply-side economics. e. none of the above.
Answers
Answer:
b. the investment accelerator
Explanation:
An investment accelerator can be defined as a positive effect that an increase in income or demand has on investment expenditures. Thus, an increase in the level of gross domestic product will cause a significant increase in the level of an investment.
Hence, when an increase in government purchases causes firms to purchase additional plant and equipment, we have seen a demonstration of the investment accelerator.
Match each balance sheet item to its correct category.
Categories: Assets, Liabilities, Equity
Balance sheet items: Cash, Rent, Loan, wages payable, retained earnings, computers, furniture, owners personal investment
Answers
Answer:
See below
Explanation:
Assets, Liabilities, and Equity form the basis for preparing the balance sheet. They make the accounting equation of Assets= Liabilities + Equity.
Assets are the valuables a business owns. They can be in the form of cash, money in the banks, financial instruments, properties, machines, or motor vehicles.
Assets will be
Cashcomputers,furnitureLiabilities are what the business owes to third parties and supplies. Liabilities are usually in the monetary form, such as loans, rent, and accounts payable.
Liabilities
Rent, Loanwages payable,Equity is the owner's contribution to the business. They include capital and retained earnings.
Equity
retained owners personal investment earnings,Choi Home Repair needs to accumulate $22,000 in 6 years to purchase new equipment. What sinking fund payment (in $) would they need to make at the end of each three months, at 4% interest compounded quarterly?
Answers
Answer: $815.62
Explanation:
This is an annuity because it is to be a specific payment per period.
As it is in 6 years, it is a Future Value calculation.
Number of periods = 6 years * 4 quarters = 24 quarters
Interest = 4%/ 4 quarters = 1%
Future Value = Annuity * Future Value interest factor of Annuity, 24 periods, 1%
22,000 = Annuity * 26.9735
Annuity = 22,000/26.9735
Annuity = $815.62
If the family will not budget their family resources or their efficiently what will happen?
Answers
Answer:
They will go broke
Explanation:
because if they spend over budget thats not enough money so they will be broke
should i be the manager of burger king or subway?
Answers
Answer:
you should be the manager of subway, theres way more options and you can eat fresh ;)
The Dell Corporation borrowed â$ at â% interest perâ year, which must be repaid in equal EOY amountsâ (including both interest andâ principal) over the next years. How much must Dell repay at the end of eachâ year? How much of the total amount repaid isâ interest?
Answers
Answer:
A. $2,098,000 per year
B. $2,588,000
Explanation:
A. Calculation for How much must Dell repay at the end of each year
First step is to calculate (A/P, 7%, 6 )which will give us (0.2098)
Now let Calculate the amount to repay
Amount to repay= $10,000,000 (A/P, 7%, 6)
Amount to repay= $10,000,000 (0.2098)
Amount to repay = $2,098,000 per year
Therefore the amount that Dell will repay at the end of each year will be $2,098,000 per year
2. Calculation for How much of the total amount repaid is interest
Total interest repaid = ($2,098,000*6 years)− $10,000,000
Total interest repaid=$12,588,000-$10,000,000
Total interest repaid= $2,588,000
Therefore the total amount repaid interest will be $2,588,000
She has read a number of newspaper articles about a huge IPO being carried out by a leading technology company. She wants to purchase as many shares in the IPO as possible and would even be willing to buy the shares in the open market immediately after the issue. What advice do you have for her?
Answers
Answer:
Explanation:
I believe the best advice that can be given is to do thorough research into the company before investing and do not invest more than you are willing to lose. Initial Public Offerings (IPO) can be incredibly risky investments because they can be complete scams or can be legit startup companies but make one mistake and quickly go bankrupt causing the shares to be worthless and you lose all of your money. But with great risk comes great reward, If they do manage to take you off you can make a lot of money. Therefore, research and invest only what you can live without is the best advice.
A report that lists accounts and their balances, in which the total debit balances should equal the total credit balances, is called a(n):____________. a. Account balance. b. Trial balance. c. Ledger. d. Chart of accounts. e. General Journal.
Answers
Answer:
b. Trial balance.
Explanation:
In the trial balance the total of debit amount and the total of credit amount would be equivalent to each other. Here the debit involves assets, expenses, dividend while on the other hand the credit involves stockholder equity, liabilities, revenues
hence, the correct option is b.
And, the rest of the options are wrong
Christine and Doug are married. In 2014, Christine earns a salary of $250,000 and Doug earns a salary of $50,000. They have no other income and work for the same employers for all of 2014. How much Medicare surtax for high-income taxpayers will Christine and Doug have to pay with their 2014 income tax return?
A. $450 B. $900 C. $2,700 D. None
Answers
Answer:
A. $450
Explanation:
In 2014, the Medicare surtax for high-income taxpayers started when married couples filing jointly earned over $250,000. in this case, Christine and Doug made $300,000, so the surtax = ($300,000 - $250,000) x 0.9% = $450
The Medicare surtax income threshold has not been adjusted to inflation and remains at the same level for 2020.
Total medicare contributions for high income taxpayers = 1.45% + 0.9% = 2.35%
Please Help me, with this question for one of my class discussions.
Think of a product and describe the stages of production the product goes through.
Answers
Answer:
Well, it depends on the product. But, I'd say, first, an idea for the product. Creating/designing and refining the product is next. Then, when finally satisfied, begin mass production
Explanation:
Your uncle repays a $300 loan from Tenth National Bank (TNB) by writing a $300 check from his TNB checking account. Assume these funds are the
only loans and deposits available for your uncle and the bank.
Answers
Green and yellow are adjacent on the color wheel; what does this mean?
They are complementary.
They are analogous.
O They are contrasting.
O They are contradictory.
Answers
Answer:
analogous
Explanation:
both green and yellow are a part of analogous
The Pierce Co. just issued a dividend of $2.35 per share on its common stock. The company is expected to maintain a constant 5 percent growth rate in its dividends indefinitely. If the stock sells for $44 a share, what is the company's cost of equity? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Cost of equity__________ %
Answers
Answer:
r = 0.106079 or 10.6079% rounded off to 10.61%
Explanation:
Using the constant growth model of dividend discount model, we can calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,
P0 = D0 * (1+g) / (r - g)
Where,
D0 is the dividend paid recently
D0 * (1+g) is dividend expected for the next period /year
g is the growth rate
r is the required rate of return or cost of equity
To calculate the cost of equity (r), we will plug in the values for P0, D0 and g in the formula,
44 = 2.35 * (1+0.05) / (r - 0.05)
44 * (r - 0.05) = 2.4675
44r - 2.2 = 2.4675
44r = 2.4675 + 2.2
r = 4.6675 / 44
r = 0.106079 or 10.6079% rounded off to 10.61%
The company's cost of equity is 10.61%.
The formula that can be used to determine the cost of equity is:
r = [tex]\frac{D_{1} }{P}[/tex] - g
Where:
[tex]D_{1}[/tex] = dividend next year = $2.35 x (1.05) = $2.47g = growth rate P = value of the stock = $44r = [tex]\frac{2.47}{44} + 0.05[/tex] = 10.61%
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