Answer:
c.12%
Explanation:
PVF of 12% for 6 years is 4.11
PVFof 11% for 6 years is 4.23
Present value of cash inflows, 12% = 7251*4.11
Present value of cash inflows, 12% = 29801.61
Present value of cash inflows, 11% = 7251*4.23
Present value of cash inflows, 11% = 30671.73
Internal rate of return = 11% + (30671.73 - 30000)/(30671.73-29801.61)
Internal rate of return = 11.7719969659%
Internal rate of return = 11.772%
The current price of an annual coupon bond is 100. The derivative of the price of the bond with respect to the yield to maturity is -700.The yield to maturity is an annual effective rate of 8%. Calculate the duration of the bond.
Answer:
The duration of the bond = 7.56 years
Explanation:
Given the current price = 100
DM = -1 x Current derivative price / Current price
DM = (-1 x -$700 / $100)
DM = 7
Now, D = DM (1 + r)
D = 7 (1 + 0.08)
D = 7.56
The duration of the bond = 7.56 years
On March 31, 2019, Brodie Corporation acquired bonds with a par value of $400,000 for $425,800. The bonds are due December 31, 2024, carry a 12% annual interest rate, pay interest on June 30 and December 31, and are being held to maturity. The accrued interest is included in the acquisition price of the bonds. Brodie uses straight-line amortization.Required: 1. Prepare journal entries for Brodie to record the purchase of the bonds and the first two interest receipts.
2. Next Level If Brodie failed to separately record the interest at acquisition, explain the errors that would occur in the company’s financial statements (no calculations are required).
Answer:
1. March 31, 2019
Dr Investment in held-to-maturity debt securities
$413800
Dr Interest income $12,000
Cr Cash $425800
2. June 30, 2019
Dr Cash $12,000
Cr Investment in held-to-maturity debt securities
$300
Cr Interest income $11700
3. December 31, 2019
Dr Cash $24000
Cr Investment in held-to-maturity debt securities
$600
Cr Interest income $23400
2. Assets overstated
Profit overstated
Explanation:
1. Preparation of the journal entries for Brodie to record the purchase of the bonds and the first two interest receipts.
1. March 31, 2019
Dr Investment in held-to-maturity debt securities
$413800
Dr Interest income $12,000
(400000*12%*3/12)
Cr Cash $425800
(To record the purchase of held-to-maturity securities)
2. June 30, 2019
Dr Cash $12,000
(400000*12%*3/12)
Cr Investment in held-to-maturity debt securities
$300
[($12,000/10)*3/12]
Cr Interest income $11700
($12,000-$300)
(To record the interest and amortization)
3. December 31, 2019
Dr Cash $24000
(400000*12%*6/12)
Cr Investment in held-to-maturity debt securities
$600
[($12,000/10)*6/12]
Cr Interest income $23400
($24,000-$600)
(To record the interest and amortization)
2. Based on the information given assuming Brodie failed to SEPARATELY RECORD THE INTEREST AT ACQUISITION, the errors that would occur in the company’s financial statements would be OVERSTATED ASSETS in the balance sheet and the PROFIT would as well be OVERSTATED.
company reports the following beginning inventory and two purchases for the month of January. On January 26, the company sells 350 units. Ending inventory at January 31 totals 150 units. Units Unit Cost Beginning inventory on January 1 320 $ 3.00 Purchase on January 9 80 3.20 Purchase on January 25 100 3.34 Required: Assume the periodic inventory system is used. Determine the costs assigned to ending inventory when costs are assigned based on the weighted average method. (Round per unit costs to 2 decimal places. Amounts to be deducted should be indicated with a minus sign.)
Answer:
Company A
The cost assigned to Ending Inventory under periodic inventory system and based on the weighted average method is:
= $465
Explanation:
a) Data and Calculations:
Units Unit Cost Total Costs
Beginning inventory on January 1 320 $ 3.00 $960 (320 * $3.00)
Purchase on January 9 80 3.20 256 (80 * $3.20)
Purchase on January 25 100 3.34 334 (100 * $3.34)
Total 500 $3.10 $1,550 ($1,550/500)
Units sold -350 $3.10 -$1,085 (350 * $3.10)
Ending inventory 150 $3.10 $465 (130 * $3.10)
Ethics Learning to recognize ethical issues is the most important step in understanding business ethics.
a. True
b. False
Answer:
A) True
Explanation:
Ethical learning can be regarded as educational proposal that has the purpose of preparing students as regards their future working life , through rendering of help to acquire skills that will give them enablement to perform their professions with responsibility as well as autonomy.
Business ethics can be regarded as study of needed business policies as well as business practices. Subject needed to learn could involves could be corporate social responsibility,corporate governance and others. It should be noted that Ethics Learning to recognize ethical issues is the most important step in understanding business ethics.
Bill’s Mechanical Devices Inc. produces robots for the automotive industry. If its average variable costs are given by AVC = 25, its fixed costs are $2,500, and it charges $75 a robot, what is Bill’s break-even level of output?
Answer:
50 units
Explanation:
The computation of the break even level of output is given below:
TVC = AVC × Q
= 25 × Q
Total cost is
= TVC + FC
= 25Q + $2,500
Total revenue is
= P × Q
= 75Q
Now in Break even
TR = TC
75Q = 25Q + $2,500
Q = $2,500 ÷ 50Q
= 50 units
The manager of a crew that installs carpeting has tracked the crew’s output over the past several
weeks, obtaining these figures:
Week Crew Size Yards Installed
1 4 96
2 3 72
3 4 92
4 2 50
5 3 69
6 2 52
Compute the labor productivity for each of the weeks. On the basis of your calculations, what can
you conclude about crew size and productivity?
Using the probability approach to determine an inventory safety stock and wanting to be 95 percent sure of covering inventory demand, which of the following is the number of standard deviations necessary to have the 95 percent service probability assured?A) 1.28B) 1.64C) 1.96D) 2.00E) 2.18
Answer:
B) 1.64
Explanation:
Given that there is 95% service probability i.e. assured
So here the company applied the approach in normally that sets the probability for not stocking out the 95 percent
So it would have the approx 1.64 standard deviation with respect to the safety stock
Therefore the option c is correct
Critical Chain Project Management (CCPM) attempts to keep the most highly demanded resource busy on critical chain activities, but not overloaded.
a. True
b. False
Answer:
True
Explanation:
Critical-Chain
This was introduced or originated by Eli Goldratt in 1997. Its aim is to challenges conventional project management approaches and absolute dependence on TOC principles. The idea of what to change or eliminated is the largely rooted behaviors that is common with the traditional project management practices. It is very multitasking anf it is the longest string of reliance that occur on the project.
Critical- Chain Approach
This approach simply covers project network as it ca be limited by both resource and technical reliance/dependencies. each type of limitations can create task reliance.
The Summary of Critical Chain Approach
1.) use Aggressive but Possible Times (ABPT) for task durations
2.) identify the critical chain by accounting for resource dependencies
3.) use buffer management to track project progress etc.
A collateralized debt obligation (CDO) bundles house payments and creates safe, okay, and risky investment vehildes. Group of answer choices True False
Answer:
The answer is "True".
Explanation:
The CDO is a complicated support materials instrument that is funded and sold to investors with a pool of credit as well as other assets. A CDO is a special type of derivative since its value was generated from another subordinated asset, as this is mentioned in the title. This guaranteed outstanding debt combines repayments from the home and produces safe, all legal, and hazardous financial instruments.
Finley Company
End-of-Period Spreadsheet
For the Year Ended December 31
Adjusted Trial Balance Income Statement Balance Sheet
Account Title Debit Credit Debit Credit Debit Credit
Cash 48,000 48,000
Accounts
Receivable 18,000 18,000
Supplies 6,000 6,000
Equipment 57,000 57,000
Accumulated Depreciation 18,000 18,000
Accounts Payable 25,000 25,000
Wages Payable 6,000 6,000
Common Stock 30,000 30,000
Retained Earnings 3,000 3,000
Dividends 3,000 3,000
Fees Earned 155,000 155,000
Wages Expense 63,000 63,000
Rent Expense 27,000 27,000
Depreciation
Expense 15,000 15,000
Totals 237,000 237,000 105,000 155,000 132,000 82,000
Net Income (Loss) 50,000 50,000
155,000 155,000 132,000 132,000
The entry to close Dividends would be:_____.
a. debit Retained Earnings, $3,000; credit Common Stock, $3,000.
b. debit Common Stock, $3,000; credit Retained Earnings, $3,000.
c. debit Dividends, $3,000; credit Retained Earnings, $3,000.
d. debit Retained Earnings, $3,000; credit Dividends, $3,000.
Answer:
d. debit Retained Earnings, $3,000; credit Dividends, $3,000.
Explanation:
The journal entry to close the dividend account should be
Retained earnings Dr $3,000
To Dividend $3,000
(being the closing of the dividend account is recorded)
here the retained earning is debited as it decreased the stockholder equity and dividend is credited as it is closed
Martha had an important meeting after lunch and wanted to avoid the hassle of waiting in line to get a meal at the cafeteria. Hence, she bought a sandwich from a vending machine that was costlier than the meal at the cafeteria. Which of the following influenced Martha's purchase decision?
A. Psychological costs.
B. Quality costs.
C. Behavioral costs.
D. Time costs.
Answer:
D
Explanation:
For each of the following characteristics, indicate whether it describes a perfectly competitive firm, a monopolistically competitive firm, both, or neither. (Note: If the characteristic describes neither, leave the entire row unchecked.)
Characteristic Perfectly Competitive Monopolistically Competitive
Sells a product differentiated from those of its competitors
Has marginal revenue less than price
Earns economic profit in the long run
Produces at the minimum average total cost in the long run
Equates marginal revenue and marginal cost
Charges a price above marginal cost
Answer:
Monopolistically Competitive
Monopolistically Competitive
Neither
Perfectly Competitive
both
Monopolistically Competitive
Explanation:
A perfect competition is characterized by many buyers and sellers of homogenous goods and services. Market prices are set by the forces of demand and supply. There are no barriers to entry or exit of firms into the industry.
In the long run, firms earn zero economic profit. If in the short run firms are earning economic profit, in the long run firms would enter into the industry. This would drive economic profit to zero.
Also, if in the short run, firms are earning economic loss, in the long run, firms would exit the industry until economic profit falls to zero.
A monopolistic competition is when there are many firms selling differentiated products in an industry. A monopolistic competition has characteristics of both a monopoly and a perfect competition. the demand curve is downward sloping. it sets the price for its goods and services.
An example of monopolistic competition are restaurants
When firms are earning positive economic profit, in the long run, firms enter into the industry. This drives economic profit to zero
If firms are earning negative economic profit, in the long run, firms leave the industry. This drives economic profit to zero
in the long run, only normal profit is earned
In a monopolistic competitive market, firms always set the price higher than their marginal costs. As a result, the market cannot be productively efficient.
Cost accumulation is the determination of the dollar amounts of direct materials, direct labor and overhead costs, and cost measurement is the recognition and recording of costs. True False
Answer:
true......................
A firm just paid its annual dividend of $1.80 and expects to increase that dividend each year. The discount rate is 11 percent. Which one of these correctly identifies an error when computing the current value of this firm's stock?
a. Po = $1.80/(0.11 -0.03): The growth rate exceeds its limitation.
b. Po = ($1.80 x 1.12(0.11 -0.03); The growth rate in the denominator should be 12 percent to match the growth rate in the numerator.
c. Po = ($1.80 x (1 +.09)[0.11 -.09); The growth rate exceeds it limitation for using this formula
d. Po = $1.80/(0.11 -0.025); The value of Dt, is incorrect as $1.80 equals Do.
Answer:
d. Po = $1.80/(0.11 -0.025); The value of D1, is incorrect as $1.80 equals Do.
Explanation:
Calculation to correctly identifies which one of these is an error when computing the current value of this firm's stock
P0 = $1.80/(0.11 - 0.025)
P0 = $1.80/0.085
P0=$9.76
Therefore Based on the information given Po = $1.80/(0.11 -0.025); because The value of D1, is INCORRECT as $1.80 equals Do.
A government bond issued in France has a coupon rate of 5% (paid annually) and a face value of 100 euros, and it matures in 5 years. Calculate the price of the bond (in euros) if the yield to maturity is 3.5%.
Answer:
Bond Price= 106.77
Explanation:
Giving the following information:
Face value= 100
Coupon= 100*0.05= 5
Yield To Maturity= 0.035
Years to maturity= 5 years
To calculate the price of the bond, we need to use the following formula:
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 5*{[1 - (1.035^-5)] / 0.035} + [100/(1.035^5)]
Bond Price= 22.57 + 84.2
Bond Price= 106.77
Outsourcing of jobs from large corporations to domestic subcontractors has been one reason job have been become more insecure in the U.S. recently.
a. true
b. false
Answer:
a. true
Explanation:
In Business management, outsourcing can be defined as a process which involves an agreement between two companies that allows for the provision of services or job functions by another.
When a company is outsourced, it engages the service of another company (third-party) to perform some of its duties rather than the use of an in-house department or employees to handle them. The outsourcing firm is saddled with the responsibility of physically distributing the goods or services of the outsourced company.
Hence, outsourcing simply means the use of supply chain partners of a large corporation to provide products or services for the end users or consumers.
In the United States of America, outsourcing of jobs and services from large corporations to domestic subcontractors (outsourcing companies) is one of the main reason job have become more insecure recently.
In order to use moving averages to forecast a time series, the first step is to select the order k, the number of time series values to be included in the moving average.
a) true
b) false
Employees are quitting at an alarming rate from a classy multi-star hotel. What can the HR team there do to find out the reason for quitting and retain good employees?
The Human resources team can interact with some of the staffs to know the problem.
Who is an employee?An employee is someone who is working for an organization or an individual to gets paid at the end of the job either as wages or salary.
In case of any problem, Human resources team can interact with some of the staffs to know the problem.
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Answer: I believe the answer is C
Explanation:
MLX has annual sales of $320 million per year and has calculated the collection float to be 12 days. If MLX is currently paying 9.35% on its line of credit, what amount of interest expense could be saved if the collection float is reduced by 3 days? (Assume 365 days per year.
Answer:
The right solution is "$245,917.81".
Explanation:
According to the question,
Interest,
= 9.35%
Sales,
= 320000000
Float reduction,
= 3
Now,
Saving in interest will be:
= [tex]Sales\times Interest\times \frac{Float \ reduction}{365}[/tex]
By substituting the values, we get
= [tex]320000000\times 9.35 \ percent\times \frac{3}{365}[/tex]
= [tex]245,917.81[/tex] ($)
Lopez Company has Retained Earnings of $48,000 at the end of March, 2020. During the month of April, Lopez has revenues of $72,000 and total operating expenses of $52,000. Lopez also pays its shareholders dividends of $10,000 on April 30. What is Lopez Ending RE = Beg. RE+NI - Div = Beg. RE + (Rev - Exp) - Div = 10,000 + (70,00 0-85,000) - 5,000 = (10,000) Company's ending balance of Retained Earnings on April 30?
Answer: $58,000
Explanation:
Ending retained earnings = Beginning retained earnings + Net income - Dividends
Net income = Revenues - Operating expenses
= 72,000 - 52,000
= $20,000
Ending retained earnings = 48,000 + 20,000 - 10,000
= $58,000
The senior marketing executive you have assigned as team leader asks you to stay on as a team consultant until she gets things rolling. She asks your advice on her first course of action. What will you advise her to do
Answer:
In layman's terms, you suggest a highly skilled communications specialist with exceptional creative abilities. You frequently recommend a sales manager who is known with his or her abilities to provide clear direction and follow action. The project will need individuals who will have the relevant experience in managing others as well as academic specialization in related operations.
Senior marketing executive carries out the companies marketing activities, they advise sales manager to understand the customer's need.
What is the role of senior marketing executive?The senior marketing executive carries out the marketing activities, plan the strategies to maximize profits and to achieve the target of a company.
When a senior marketing executive act as team lead:they are expected to increase sales and maximize the companies profit. They recommend sale manger to know the customer's expectation and make sales accordingly. You require people in team who have experience in the field and have academic specialization also.
Therefore, the above explanation aptly describes the role of senior marketing executive
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The price elasticity of demand for a good is likely to be elastic __________.
A. the budget share spent on the good.
B. the number of close substitutes for the good.
C. the available time during which consumers can adjust.
D. all of the above.
Answer:
The price elasticity of demand for a good is likely to be elastic :
A. the greater the proportion of budget share spent on the good.
B. the greater the number of close substitutes for the good.
C. the longer the available time during which consumers can adjust.
Explanation:
Price elasticity of demand measures the responsiveness of quantity demanded to changes in price of the good.
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
If the absolute value of price elasticity is greater than one, it means demand is elastic. Elastic demand means that quantity demanded is sensitive to price changes.
Demand is inelastic if a small change in price has little or no effect on quantity demanded. The absolute value of elasticity would be less than one
Demand is unit elastic if a small change in price has an equal and proportionate effect on quantity demanded.
Infinitely elastic demand is perfectly elastic demand. Demand falls to zero when price increases
Perfectly inelastic demand is demand where there is no change in the quantity demanded regardless of changes in price.
Price is more elastic in the long run than in the short run because consumers have more time to search for suitable alternatives
The more close substitutes a good has, the more elastic its demand. This is because if price is increased, consumers can easily shift to the consumption of an alternative product
the greater the proportion of budget share spent on the good, the more elastic the demand for the good
McoLawn Ltd manufactures a single product, an ecologically designed electronic lawn-mower, which they sell for £40. The variable costs of the lawn-mower are as follows: Fixed costs are £140,000. McoLawn Ltd. have budgeted profits for the coming year at £120,000. How many lawn-mowers must McoLawn Ltd. sell in order to reach budgeted profit levels? Group of answer choices
Answer: 20,000 lawn mowers
Explanation:
The formula for calculating the number of lawn mowers needed to reached the budgeted profit levels is:
= (Fixed costs + Budgeted profit) / Contribution margin
Contribution margin = Selling price - Variable cost
= 40 - (14 + 8 + 5)
= 40 - 27
= $13
Number of lawn-mowers required:
= (140,000 + 120,000) / 13
= 20,000 lawn mowers
Two alternate plans are available for increasing the capacity of existing water transmission lines between an unlimited source and a reservoir. The unlimited source is at a higher elevation then the reservoir. Plan A calls for the construction of a parallel pipeline and flow by gravity. Plan B specifies construction of a booster pumping station. Estimated cost for the two plans are as follows: Hint: Use Present Worth- (do not guess show all your work) i=10%
Plan A : Cost $700,000, Life 40 Years, Annual Operation and Repair $1,000/Year
Plan B: Cost $200,000, Life 40 Years Structure and 20 years equipment, Equipment replacement at the end of 20 years $75,000, Annual Operation and Repairs 52,000/year
a. Plan A $709,779.00
b. Plan A $740,000
c. Plan B $710,165.50
d. Plan B $326,000
Answer:
plan a
Explanation:
present worth of plan A= 700000+1000(p/a,10%,40)
= 700000+1000*9.779
= 700000+9779
= 709779 dollars
present worth of plan b = 200000+75000(p/f,10%,20)+52000/year(p/a,10%,40)
= 200000+75000*0.1486+52000*9.779
= 719653 dollars.
we compare the pw of both a and b, from the solutions above, the present worth of plan a is smaller than that of plan b, so the best option is plan a, $709,779.00
Suppose that many stocks are traded in the market and that it is possible to borrow at the risk-free rate, rƒ. The characteristics of two of the stocks are as follows: Stock Expected Return Standard Deviation A 10 % 25 % B 18 % 75 % Correlation = –1 a. Calculate the expected rate of return on this risk-free portfolio? (Hint: Can a particular stock portfolio be substituted for the risk-free asset?) (Round your answer to 2 decimal places.) b. Could the equilibrium rƒ be greater than 12.00%?
Answer:
a. The expected rate of return on this risk-free portfolio is 12%.
b. No, the equilibrium rƒ CANNOT be greater than 12.00%. This is because the equilibrium rƒ must be equal to the expected rate of return on this risk-free portfolio.
Explanation:
Given:
The characteristics of two of the stocks are as follows:
Stock Expected Return Standard Deviation
A 10% 25%
B 18% 75%
Correlation = –1
a. Calculate the expected rate of return on this risk-free portfolio?
SDA = Standard Deviation of Stock A = 25%, or 0.25
SDB = Standard Deviation of Stock B = 75%, or 0.75
WA = Weight of Stock A = ?
WB = Weight of Stock B = (1 - WA)
Portfolio standard deviation = (WA * SDA) – ((1 - WA) * SDB) = (WA * 0.25) – ((1 - WA) * 0.75)
With a perfect negative correlation, Portfolio standard deviation has is taken to be zero. Therefore, we have:
0 = (WA * 0.25) - ((1 - WA) * 0.75)
0 = 0.25WA - (0.75 - 0.75WA)
0 = 0.25WA - 0.75 + 0.75WA
0.75 = 0.25WA + 0.75WA
WA = 0.75
Therefore, we have:
WB = 1 - WA = 1 - 0.75 = 0.25
Portfolio expected rate of return = (WA * Expected Return of Stock A) + (WB * Expected Return) = (0.75 * 10%) + (0.25 * 18%) = 0.12, or 12.00%
Therefore, the expected rate of return on this risk-free portfolio is 12%.
b. Could the equilibrium rƒ be greater than 12.00%?
No, the equilibrium rƒ CANNOT be greater than 12.00%. This is because the equilibrium rƒ must be equal to the expected rate of return on this risk-free portfolio.
A natural monopoly arises whenA. a single firm aggressively forces other competitors to exit and industry.B. a single firm has a monopoly over natural resources.C. two firms merge into a single firm in order to capture more of the market.D. a single firm can produce more cheaply than multiple firms due to a downward-sloping average total cost curve.
Answer:
D
Explanation:
A monopoly is when there is only one firm operating in an industry. there are usually high barriers to entry of firms. the demand curve is downward sloping. it sets the price for its goods and services.
An example of a monopoly is a utility company
A natural monopoly occurs due to the high start-up costs or a large economies of scale.
Natural monopolies are usually the only company providing a service in a particular region
Characteristics of natural monopolies
they have a large fixed cost The firms have a low marginal costThey occur naturally through the free market. It does not occur by government regulation or any other forceTim is a single father with 1 child. He can work as a bagger at the local grocery store for $6 per hour up to 1,200 hours per year. He is eligible for welfare, and if he does not earn any income, he will receive $15,000 a year. If Tim works, the government policy is to deduct 60 cents from his welfare stipend for every $1 that he earns in income. This government policy provides a monetary incentive to work, because
Answer:
The more he works, the higher Tim's salary level. A further explanation is provided below.
Explanation:
Throughout this instance, we must look at Tim's degree of labor as well as his revenue.
Tim would then earn $15,000 if he doesn’t really perform, then he can make,
= [tex]6\times 1200[/tex]
= [tex]7200 \ per \ year[/tex]
60 per cent of its revenue as well from his assistance fund would be deducted by the administration.
= [tex]15000-0.60\times 7200[/tex]
= [tex]10680[/tex]
Now,
His total income will be:
= [tex]10680+7200[/tex]
= [tex]17880[/tex]
Thus the above is the correct answer.
Dragon Sports Inc. manufactures and sells two products, baseball bats and baseball gloves. The fixed costs are $57,000, and the sales mix is 70% bats and 30% gloves. The unit selling price and the unit variable cost for each product are as follows:
Products Unit Selling Price Unit Variable Cost
Bats $50 $50
Gloves 100 80
a. Compute the break-even sales (units) for both products combined.
b. How many units of each product, baseball bats and baseball gloves, would be sold at break even point?
Answer and Explanation:
The computation is shown below:
Contribution Margin for Bat
= $50 - $50
= $0
Contribution Margin for Gloves = $100 - $80
= $20
Now
Overall Contribution Margin = (0 ×70%) + ($20 × 30%)
= $0 + $6
= $6
Now
A. Break even sales = Fixed cost ÷ contribution margin
= $57,000 ÷ $6
= 9,500
B.Baseball bats = 9,500 × 70% =6,650
Baseball Gloves = 9,500 × 30% = 2,850
Julio purchased a stock one year ago for $27. The stock is now worth $32, and the total return to Julio for owning the stock was 37 percent. What is the dollar amount of dividends that he received for owning the stock during the year
Answer:
$5
Explanation:
Calculation to determine the dollar amount of dividends that he received for owning the stock during the year
First step is to calculate the total profit earned
Total profit=$27*37%
Total profit=$10
Second step is calculate the Value of stock with profits earned
Value of stock=$27+$10
Value of stock=$37
Now let calculate the the dollar amount of dividends
Dividend=$37-$32
Dividend=$5
Therefore the dollar amount of dividends that he received for owning the stock during the year is $5
Derek decides to buy a new car. The dealership offers him a choice of paying $600.00 per month for 5 years (with the first payment due next month) or paying some amount today. He can borrow money from his bank to buy the car. The bank requires a 5.00% interest rate. What is the most that he would be willing to pay today rather than making the payments
Answer:
PV= $31,794.12
Explanation:
Giving the following information:
Monthly payment= $600
Number of months= 5*12= 60 months
Interest rate= 0.05/12= 0.004167
To calculate the present value of the monthly payments, we need to use the following formula:
PV= A*{(1/i) - 1/[i*(1 + i)^n]}
A= monthly payments
PV= 600*{(1/0.004167) - 1/ [0.004167*(1.004167^60)]}
PV= $31,794.12
