Answer:
PV= $774.54
Explanation:
Giving the following information:
Future value= $1,000
Number of periods= 5*365= 1,825 days
Interest rate= 0.05/365= 0.00014
To calculate the initial investment, we need to use the following formula:
PV= FV / (1+i)^n
PV= 1,000 / (1.00014^1,825)
PV= $774.54
Follows a summary of Gold Corp.'s cash flows ($ in millions) for the year ended Dec. 31, 2020: Cash received from: Customers $ 3,150 Interest on investments 290 Sale of land 190 Sale of Rowdy's common stock 780 Issuance of debt securities 2,900 Cash paid for: Interest on debt $ 390 Income tax 170 Debt principal reduction 2,400 Purchase of equipment 5,800 Purchase of inventory 1,900 Dividends on common stock 470 Operating expenses 680 Gold Corp would report net cash inflows (outflows) from investing activities for the period of:
Answer:
Only two of the listed activities classify as investing activities. The cash flow form investing activities = cash received form the sale of land + cash paid for the purchase of equipment = $190 - $5,800 = -$5,610
Explanation:
Customers $ 3,150 ⇒ operating activity
Interest on investments 290 ⇒ operating activity
Sale of land 190 ⇒ investing activity
Sale of Rowdy's common stock 780 ⇒ financing activity
Issuance of debt securities 2,900 ⇒ financing activity
Interest on debt $ 390 ⇒ operating activity
Income tax 170 ⇒ operating activity
Debt principal reduction 2,400 ⇒ financing activity
Purchase of equipment 5,800 ⇒ investing activity
Purchase of inventory 1,900 ⇒ operating activity
Dividends on common stock 470 ⇒ financing activity
Operating expenses 680 ⇒ operating activity
If Joel earns a 7 percent after-tax rate of return, $27,000 received in two years is worth how much today
Answer: $23571
Explanation:
For this question, we have to calculate the present value of $27,000 with the given rate and the time that have already been given in the question to know the worth tiday. This will then be:
= $27,000 x PVIF (7%, 2)
= $27,000 x 0.873
= $23,571
Imagine that to preserve the traditional way of life in small fishing villages, a government decides to impose a price floor that will guarantee all fishermen a certain price for their catch.
Using the demand and supply framework, predict the effects on the price, quantity demanded, and quantity supplied.
With the enactment of this price floor for fish, what are some of the likely unintended consequences in the market?
Suggest some policies other than the price floor to make it possible for small fishing villages to continue.
Answer:
As a result of the price floor, price would increase. As a result, quantity demanded will decrease and the quantity supplied would increase.
Supply would exceed demand and as a result there would be an excess supply of fish.
As an alternative to the price floor, the government can subsidise the cost of fishing. This would reduce the cost of producing fish
Explanation:
A price floor is when the government or an agency of the government sets the minimum price of a product. A price floor is binding if it is set above equilibrium price.
A customer buys 1 XYZ Dec 30 call at 7 and sells 1 XYZ Dec 40 call at 1. Two months later, if the customer closes the positions when the spread is trading at 9 points, the customer has
Answer:
Gain of $300
Explanation:
Based on the information given the investor have a debit spread and Since the investor paid a net premium of the amount of $600 which is calculated as : (7 − 1) in which the spread had widened to 9 which means the investor will have a profit or gain of the amount of $300 calculated as :(9 − 6) due to the spread .
Therefore the customer has a gain of the amount of $300 reason been that it is a Debit spreads and secondly Debit spread are often profitable.
g Which of the following instruments are traded in the capital markets? Check all that apply. Corporate bonds Commercial paper Certificates of deposit Long-term bank loans Common stocks
Answer:
Preferred Stocks
Common Stocks
Explanation:
Commercial paper and Common Stocks are the instruments are traded in the capital markets. Hence, options B and E are correct.
What are capital markets?The stock market, bond market, currency and foreign exchange (forex) markets, among others, may be among these venues. Major financial cities like New York, London, Singapore, and Hong Kong are where the majority of markets are concentrated.
Stock, bond, currency, and other financial assets are traded in capital markets, which are financial marketplaces that connect buyers and sellers. The stock market and the bond market are examples of capital markets. They aid in the entrepreneurship of those with ideas and the expansion of small firms into larger ones.
A capital market is a place where people and businesses can borrow money using shares, bonds, debentures, and other debt instruments. The most typical illustration is a stock exchange like NASDAQ, where investors can trade shares from various companies.
Thus, options B and E are correct.
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Relationship marketing A. applies to B2B selling in relationship dyads, but not B2C selling. B. applies to B2C selling but not to B2B selling. C. is a non-electronic approach to building personal relationships in a B2B or B2C environment. D. views the sale as the beginning, not the end, of a relationship. E. A and C are both correct
Answer:
Relationship marketing
D. views the sale as the beginning, not the end, of a relationship.
Explanation:
The emphasis with relationship marketing is the ability to retain and satisfy customers and not just the sales transactions. Relationship marketing tries to attract, connect, date, and maintain the customer as an asset that should be cultivated for lifetime value. It builds that human connection between a brand and its customers that is necessary in a romantic relationship. It follows the footsteps of a romance with attraction, connection, dating, relationship, marriage, and flourishing love.
customer retention and satisfaction rather than sales transactions.
The sticky-price theory of the short-run aggregate supply curve says that if the price level rises by 5% while firms were expecting it to rise by 2%, then some firms with high menu costs will have:________.
Answer:
to keep their prices the same
Explanation:
Remember, having a higher Menu cost implies that such a firm would suffer more if it adjusted its prices.
So the sticky-price theory makes the assumption that a firm that notices an increase in the prices of their products would keep their prices low out of fear that doing so would result in losses for the firm if demand changes negatively.
Barry was sitting on a bench near the center of the shopping mall waiting for his wife to finish her shopping when he was approached by a woman holding a clipboard with a dress shirt laid over her arm. She asked if Barry had the time to answer a few questions about the shirt. After Barry examined the shirt, the woman asked him to assess the quality of the shirt and to state how much he would be willing to pay for the shirt. Barry participated in a(n) ____.
Answer: Mall intercept
Explanation:
From the question, we are informed that Barry was sitting on a bench near the center of the shopping mall waiting for his wife to finish her shopping when he was approached by a woman holding a clipboard with a dress shirt laid over her arm and asking him question related to the shirt.
Based on the above scenario, Barry participated in a mall intercept. Mall intercept simply refers to a situation whereby people are approached at shopping malls and asked questions in form of surveys which are done by researchers in order to gather information regarding a particular subject area.
You would like to evlauate pursuing a new computing tool for your team. The new workstation would impact 10 of your campany staff and cost about $5,500. You expect the new work stations to have a yearly maintenance and operation cost of 20% of the initial cost. At the end of the 3 year life cycle you think the new workstation can have a salvage value of 5% of the initial cost. What is the present worth of the new stations if you use an internal MARR of 17%
Answer:
-7,759.29 dollar
Explanation:
cost of maintenance and operation
initial cost of $5500 x 20%
= 1100 Dollars
salvage value
initial cost of $5500 x 5%
= $275
pw = -5500-1100(p/a,17%,3) +275(p/f,17%,3)
pw = -5500-(1100*2.21) + (275*0.6244)
pw = -5500-2431+17.71
= -7759.29
so pw, that is present worth of new stations using internal MARR of 17% is -7759.29 dollars
2. Determine the total sales, the total cost of merchandise sold, and the gross profit from sales for the period.
Question Completion:
The beginning inventory of merchandise at Keats Office Supplies and data on purchases and sales for a three-month period are as follows:
Date Transaction No. of Units Per Unit Total
March 3 Inventory 66 $225 $14,850
March 8 Purchase 132 270 35,640
March 11 Sale 88 750 66,000
March 30 Sale 55 750 41,250
April 8 Purchase 110 300 33,000
April 10 Sale 66 750 49,500
April 19 Sale 33 750 24,750
April 28 Purchase 110 330 36,300
May 5 Sale 66 790 52,140
May 16 Sale 88 790 69,520
May 21 Purchase 198 360 71,280
May 28 Sale 99 790 78,210
Answer:
Keats Office Supplies
Total sales (495 units) = $381,370
Cost of goods sold $147,510
Gross profit $233,860
Explanation:
a) Data and Calculations:
Date Transaction No. of Units Per Unit Costs Revenue
March 3 Inventory 66 $225 $14,850
March 8 Purchase 132 270 35,640
March 11 Sale -88 750 66,000
March 30 Sale -55 750 41,250
April 8 Purchase 110 300 33,000
April 10 Sale -66 750 49,500
April 19 Sale -33 750 24,750
April 28 Purchase 110 330 36,300
May 5 Sale -66 790 52,140
May 16 Sale -88 790 69,520
May 21 Purchase 198 360 71,280
May 28 Sale -99 790 78,210
Total:
Cost of goods available 616 -495 = 121 $191,070 $381,370
May 31 Ending Inventory, using FIFO = 121 units 360 $43,560
Cost of goods sold = Cost of goods available for sale Minus Ending Inventory = $191,070 - $43,560 = $147,510
Identify each of the following accounts as a component of asset (A), liabilities (L), or equity (E). Account Balance sheet section
a. Cash and cash equivalents
b. Wages payable
c. Common stock
d. Equipment
e. Long-term debt
f. Retained earnings
g. Additional paid-in capital
h. Taxes payable
Answer:
a. asset (A)
b. liabilities (L)
c. equity (E)
d. asset (A)
e. liabilities (L)
f. equity (E)
g. equity (E)
h. liabilities (L)
Explanation:
A Balance sheet shows the balance of assets, liabilities and equity at the reporting date.
Assets are economic resources controlled by the entity such as equipment and cash.
Liabilities are obligation that arise such as wages payable and tax payable.
Equity is the residue after deducting liabilities from assets. it represents the owners contribution through equity and retained income.
Dean exchanges a business storage facility with a $120,000 adjusted basis for $40,000 cash and a parking lot with a $140,000 FMV. What is the amount of gain which Dean recognizes on the exchange
Answer:
$40,000
Explanation:
This transaction lacks commercial substance, therefore, Dean should only recognize the boot (cash received) as gain from this transaction. The adjusted basis for Dean's "new" parking lot is $120,000, the same adjusted basis as the business storage facility.
This happens because the boot was not more than 25% of the value of the total consideration received by Dean (cash + parking lot). If the boot is 25% or more, then the sale must be reported as a cash sale.
Products should be specified by brand because: a. price levels of brand items are low b. the number of potential suppliers is restricted c. it is difficult to develop accurate specifications for an item d. all of the above e. a and b above.
Answer:
C. It is difficult to develop accurate specifications for an item.
Explanation:
A product can be defined as any physical object or material that typically satisfy and meets the demands, needs or wants of customers. Some examples of a product are mobile phones, television, microphone, microwave oven, bread, pencil, freezer, beverages, soft drinks etc.
Generally, these products are manufactured and distributed through different marketing channels to various wholesalers or retailers before it gets to the consumers or customers.
Hence, each product should be distinguished from another through its brand name in order to enhance easier identification by the customers.
Products should be specified by brand because it is difficult to develop accurate specifications for an item. Thus, when a supplier such as a retailer or wholesaler wishes to place an order to a manufacturer, he or she should specify the order by brand.
At LK Corporation, budgeted sales in units for January, February, and March are 15,000, 20,000, and 18,000 units, respectively. If the selling price per unit is $5, what is expected sales revenue for March
Answer:
$90,000
Explanation:
The expected sales revenue for March is computed as
Expected sales revenue in March = budgeted sales in March × Selling price per unit
= 18,000 units × $5
= $90,000
Please note that the information given for January and February are not relevant since we are asked to compute expected sales revenue in March.
A project being analyzed by PERT has 60 activities, 13 of which are on the critical path. If the estimated time along the critical path is 214 days with a project variance of 100, what is the probability that the project will take 224 days or more to complete:_____
a. near zero
b. 0.0126
c. 0.1587
d. 0.8413
e. 2.14
Answer:
c. 0.1587
Explanation:
Let x represent no of days for the project to complete
Given, E [x] = 214 =
[x] = 10
Now, from CLT, (x - Ц)/б follows
Standard normal distribution
So, P(x ≥ 224) = P [(x - Ц )/б ≥ (224 - 214) / 10
= p ( z ≥ 1)
= 0.15866
The probability of the project being completed by 224 days is 0.15.
Given that,
A project being analyzed by PERT has 60 activities, 13 of which are on the critical path.
If the estimated time along the critical path is 214 days with a project variance of 100.
We have to determine,
What is the probability that the project will take 224 days or more to complete?
According to the question,
The probability that the project will take 224 days is determined by the formula;
[tex]\rm Z = \dfrac{X-mean}{Standard \ deviation}[/tex]
Where X is 224 and the mean is 214.
The value of the standard deviation is,
[tex]\rm Standard \ deviation = \sqrt{varience}\\\\Standard \ deviation = \sqrt{100}\\\\Standard \ deviation = 10\\[/tex]
Substitute all the values in the formula,
[tex]\\\rm Z = \dfrac{X-mean}{Standard \ deviation}\\\\\rm Z = \dfrac{224-214}{10}\\\\Z = \dfrac{10}{10}\\\\Z= 1[/tex]
For z = 1, the probability is 0.15;
Hence, The probability of the project being completed by 224 days is 0.15.
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You invest 1,000 in a project today. the project will generate a cash flow of 3186 three years from now. if the interest rate is 3%, what is the net present value of the project?
Answer:
NPV= $1,915.64
Explanation:
Giving the following information:
Cash flow= $3,186
Number of periods= 3 years
Interest rate= 3%
Initial investment (Io)= $1,000
To calculate the net present value, we need to use the following formula:
NPV= -Io + ∑[Cf/(1+i)^n]
NPV= -1,000 + (3,186/1.03^3)
NPV= $1,915.64
a. How much would you pay for a Treasury bill that matures in 182 days and pays $10,000 if you require a 1.8% discount rate?
b. If the Treasury also received $750 million in non-competitive bids, who will receive T-bills, in what quantity, and at what price?
Answer: $9909
Explanation:
Let the amount that will be paid be represented by y. The question can now be solved as:
(10000 - y)/10000 × 360/182 = 0.018
(10000-y)/10000 = 0.018 × 182/360
(10000 - y)/10000 = 0.0091
10000-y = 0.0091 × 10000
10000 - y = 91
y = 10000 - 91
y = $9909
Jefferson Corp. decided to change its inventory valuation method from first in, first out (FIFO) to last in, first out (LIFO) in a period of rising prices. What was the result of the change for the ending inventory and net income?
a. Increases
b. Decreases
Answer:
decreases
Explanation:
LIFO means last in first out. It means that it is the last purchased inventory that is the first to be sold.
FIFO means first in, first out. It means that it is the first purchased inventory that is the first to be sold
In a period of rising prices, changing from FIFO to LIFO means that the latest purchased goods would be of higher prices than the older goods. This would increase cost of goods sold and reduce net income.
Also, ending inventory would consist of older goods purchased at lower prices
Both net income and ending inventory would decrease
JBS Inc. recently reported net income of $3,500 and depreciation of $885. How much was its net cash provided (used) by operations, assuming it had no amortization expense, added $200 to inventories, sold none of its fixed assets, and had a $200 increase in accounts payable
Answer:
$4,385
Explanation:
Cash flow from Operating Activities
Net income $3,500
Adjustment for non-cash items :
Depreciation $885
Adjustment for Changes in Working Capital :
Increase in Inventory ($200)
Increase in accounts payable $200
Net cash provided (used) by operations $4,385
Jake owns a company called Boat Builders, LLC and one evening he took several of his employees out after work to a bar. After eating and drinking for several hours Jake invited them back to the Boat Builders premises so he and some of the employees could show off a boat they’d been working on. After arriving at Boat Builders they all continued to drink and two of the employees, Tyler and Mark, got into an argument. When Tyler went to use the bathroom Mark attacked him from behind causing him to lose consciousness and break a tooth. Mark made light of it but gave Jake a menacing look so Jake dropped it and went to check on Tyler. Tyler sat up and asked what happened and Jake told him that Mark had attacked him from behind. About an hour passed by during which time Jake went out to his car and got his phone so he could play music for everyone. After an hour, Tyler and Mark began to argue again and they walked outside into the Boat Builders parking lot where Mark attacked Tyler again. Mark left and was later arrested for aggravated battery. Tyler regained consciousness after 10 minutes and drove home even though he was badly injured.
Does Tyler have a negligence claim against Boat Builders? Why or why not? A complete answer will be at least 5 sentences and mention critical facts.
Answer:
Yes, because Boat Builders, LLC failed to exercise a reasonable standard of care at their premises.
Explanation:
Remember, we are told, "Jake... invited them back to the Boat Builders premises," meaning they (Boat Bilders, LLC) had a duty of care responsibility toward all of his employees present.
Note we are told, "Mark made light of it but gave Jake a menacing look so Jake dropped it," this was a moment that shows Jake's negligence because as the owner of Boat Builders he had a duty of care to ensure no one is hurt without their own fault within their premises (which included their "parking lot").
Pauley Company needs to determine a markup for a new product. Pauley expects to sell 22,000 units and wants a target profit of $16 per unit. Additional information is as follows: Variable product cost per unit $ 18 Variable administrative cost per unit 13 Total fixed overhead 20,500 Total fixed administrative 36,700 Using the variable cost method, what markup percentage to variable cost should be used
Answer:
variable markup % = 60%
Explanation:
total units sold 22,000
total costs associated with selling the 22,000 units:
variable production costs $18 x 22,000 = $396,000
variable S&A costs $13 x 22,000 = $286,000
fixed overhead = $20,500
fixed S&A = $36,700
total costs = $739,200
total cost per unit = $33.60
selling price = $33.60 + $16 = $49.60
markup percentage = [(sales price - unit cost) / unit cost] x 100
the total markup % = [49.60 - 33.60) / 33.60] x 100 = 47.62%
but since we are going to calculate the markup percentage solely based on variable costs, then:
variable cost per unit = $31
selling price = $49.60
the variable markup % = [49.60 - 31) / 31] x 100 = 60%
According to Paine, errors of judgment in an organization often reveal: Group of answer choices A culture and management philosophy that operates different from how it appears "in the books" A culture and management philosophy that is insensitive or indifferent to ethical concerns A culture and management philosophy motivated primary by greed and self-interest A culture and management philosophy that sets out to deceive
Answer: A culture and management philosophy that is insensitive or indifferent to ethical concerns
Explanation:
According to Paine, errors of judgment in an organization often reveal culture and management philosophy that is insensitive or indifferent to ethical concerns.
Error of judgement occurs when a poor decision is made by an organization or company which leads to a business error. To avoid judgement error, information should be scrutinized totally end every biases should be removed.
Space travel is an example of a rapid skimming strategy.
False
True
Answer:
False
Explanation:
I jus got it right on the assignment.
A state savings bond can be converted to $100 at maturity six years from purchase. If the state bonds pay 8% annual interest (compounded annually), at what price must the state sell its bonds
Answer:
The state must sell its bonds at the price of $63.02.
Explanation:
The at which the state must sell its bond can be calculated using the present value (PV) as follows:
PV = FV / (1 + r)^n ......................... (1)
Where;
PV = Present value or the price at which the state must sell its bond = ?
FV = Future value of the bond or the value the state savings bond can be converted to at maturity = $100
r = Annual interest rate = 8%, or 0.08
n = number of years = 6
Substituting the values into equation (1), we have:
PV = $100 / (1 + 0.08)^6
PV = $100 / (1.08)^6
PV = $100 / 1.586874322944
PV = $63.02
Therefore, the state must sell its bonds at the price of $63.02.
On January 1, 2016, Brian's stock portfolio is worth $100,000. On September 30, 2016, $5,000 is withdrawn from the portfolio, and immediately after this withdrawal the portfolio has a value of $105,000. Twelve months later, the value of the portfolio is $108,000, and Brian adds $3,000 worth of stock to his portfolio. On December 31, 2017, the portfolio is worth $100,000. What is the time-weighted rate of return for Brian's stock portfolio over the two year period
Answer:
1.93%
Explanation:
The time weighted rate of return will be computed by combining the return at every time period demarcated by a withdrawal/addition.
Time 1: Jan 1, 2016 to Sep 30, 2016
start value = 100,000; end value = (105,000+5,000) = 110,000
Return = [tex]\frac{110,000}{100,000}=1.1[/tex]
Time 2: Sep 30, 2016 to Sep 30, 2017
start value = 105,000; end value = 108,000
Return = [tex]\frac{108,000}{105,000}=1.028571[/tex]
Time 3: Sep 30, 2017 to Dec 31, 2017
start value = (108,000 + 3,000) = 111,000; end value = 100,000
Return = [tex]\frac{100,000}{111,000}=0.900901[/tex].
Therefore, time weighted return
= (1.1 * 1.028571 * 0.900901) - 1
= 0.019305
= 1.93%.
The accounting records for Portland Products report the following manufacturing costs for the past year. Direct materials $ 390,000 Direct labor 261,000 Variable overhead 235,000 Production was 180,000 units. Fixed manufacturing overhead was $851,000. For the coming year, costs are expected to increase as follows: direct materials costs by 20 percent, excluding any effect of volume changes; direct labor by 4 percent; and fixed manufacturing overhead by 10 percent. Variable manufacturing overhead per unit is expected to remain the same. Required: a. Prepare a cost estimate for a volume level of 144,000 units of product this year. b. Determine the costs per unit for last year and for this year.
Answer:
Results are below.
Explanation:
First, we need to calculate the unitary costs:
Direct materials= 390,000/180,000= $2.17
Direct labor= 261,000/180,000= $1.45
Variable overhead= 235,000/180,000= $1.31
Now, we determine the new costs:
Direct materials= 2.17*1.2= $2.604
Direct labor= 1.45*1.04= $1.508
Fixed overhead= 851,000*1.1= $936,100
Total cost for 144,000 units:
Total cost= 144,000*(2,604 + 1,508 + 1.31) + 936,100
Total cost= 144,000*5.422 + 936,100
Total cost= $1,716,868
Finally, the unitary cos for both years:
Last year= 2.17 + 1.45 + 1.31= $4.93
This year= $5.422
true or false. a factor that can come between the purchase intention and purchase decision is the attitude of others g
Answer:
True
Explanation:
Before a consumer makes a decision to buy a product, several factors can affect him. Two distinct factors are the attitude of others and unexpected situational factors. When the customer notices that a lot of people around him have a negative disposition or opinion about a product, they are likely to be discouraged from buying that product.
This is even more likely to happen if the consumer lacks enough motivation to buy that product. So the attitude of others can affect the buyer's intention which is his motivation and the final decision to purchase that product.
A lot of factors can come between purchase intensions. A factor that can come between the purchase intention and purchase decision is the attitude of others is a true statement.
The more positive a person's attitude toward the a product, the greater their purchase intentions.
Another factor consider is perceived playfulness that also affects purchase intention positively.
The factors that affect a consumer's purchase intention can be said to be product perception, shopping experience, customer service etc.
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a. Consumption schedule The variable on the vertical (y) axis is (Click to select) and the variable on the horizontal (x) axis is (Click to select) . These variables are (Click to select) related. b. Saving schedule The variable on the vertical (y) axis is (Click to select) and the variable on the horizontal (x) axis is (Click to select) . These variables are (Click to select) related. c. What is the fundamental reason that the levels of consumption and saving in the United States are each higher today than they were a decade ago
Answer:
a. Consumption schedule
The variable on the vertical (y) axis is Consumption and the variable on the horizontal (x) axis is disposable income .
These variables are directly related.
On the Consumption schedule, the variables on the y axis are the different levels of consumption whilst the variables on the x are amounts of disposable income.
Consumption and disposable income are directly related because when the amount of disposable income increases, the amount that consumers can spend will increase as well as it comes from the disposable income that a consumer has.
b. Saving schedule
The variable on the vertical (y) axis is Saving and the variable on the horizontal (x) axis is disposable income .
These variables are directly related.
On the Saving schedule the x axis which is for the independent variable is the Disposable income whilst the dependent variable on the y axis is for Savings.
Savings and Disposable income are directly relate because when a person has more money after taxes (disposable income), they will be able to save more money.
c. Real GDP and disposable income are higher.
The Real GDP of the United States as well as disposable income have increased over the past decade which means that people are able to both consume and save more s shown above.
Select the correct answer. What is the standard lettering height of lowercase letters when used in combination with uppercase letters? A. Lowercase letters must be about one-fourth the height of uppercase letters. B. Lowercase letters must be about twice the width of uppercase letters. C. The lower part of the lowercase letter must be about two-thirds the height of the capital letter. D. The upper part of the lowercase letter must be about two-thirds the height of the capital letter.
Answer:
B
Explanation:
stock that has a current price of $25.00, a beta of 1.25, and a dividend yield of 6%. If the Treasury bill yield is 5% and the market portfolio is expected to return 14%, what should MUSS’s stock sell for at the end of an investor's two year investment horizon?
Answer:
$30.2067
Explanation:
From the given question, using the dividend discount model
[tex]V_0 = \dfrac{D_1}{r - g}[/tex]
where:
r is the Expected return on stock and be calculated as:
Expected return on stock = Risk free rate + Beta × (Expected Market Return - Risk free rate)
Expected return on stock = 5% + 1.25 × (14% - 5%) = 16.25%
However, the current price in this process will b used as the dividend price for all future expenses.
Dividend Yield = Current Dividend/The Share Price
Current dividend D0 = 6% × $25.00 = $1.50
D₁ = D₀ × (1 + g)
D₁ = 1.5 × (1 + g)
Thus, we can now employ the use of the growth dividend model (constant) to determine the value of g as follows:
[tex]25 = \dfrac{1.5 \times (1 + g)}{0.1625 - g}[/tex]
By cross multiply, we have:
4.0625 - 25g = 1.5 + 1.5g
collect like terms, we have:
4.0625 - 1.5 = 1.5g + 25g
2.5625 = 26.5g
Divide both sides by 26.5, we have:
2.5625/26.5 = 26.5g/26.5
g = 9.67%
Similarly, suppose the value for the second year-end to be Y₂;
Then the constant growth dividend model can be computed as:
[tex]Y_2 = \dfrac{D_3}{r - g}[/tex]
where;
D₃ = D₂ × (1 + g)
D₂ × (1 + g) = D₁ × (1 + g) × (1 + g)
D₁ × (1 + g) × (1 + g) = D₀ × (1 + g) × (1 + g) × (1 + g)
D₁ × (1 + g) × (1 + g) = D₀ × (1 + g) × (1 + g) × (1 + g) = D₀ × (1 + g) × 3
D₃ = 1.5 × (1 + 9.67%) × 3
D₃ = $1.9876
Finally:
[tex]Y_2 = \dfrac{D_3}{r - g}[/tex]
[tex]Y_2 = \dfrac{1.9876}{0.1625 - 0.0967}[/tex]
Y₂ = $30.2067
