Answer: $15,940.03
Explanation:
Principle Add Deposit Interest Total
Year 1 3000.00 201.00 3201.00
Year 2 3201.00 2500 381.97 6082.97
Year 3 6082.97 2500 575.06 9158.03
Year 4 9158.03 2500 781.09 12439.11
Year 5 12439.11 2500 1000.92 15940.03
After making deposits in a bank account as stated in the conditions given above, it can be inferred that an amount of approximately $15,940 will be available in the account after the end of 5 years.
What is the significance of deposits?Deposits can be referred to or considered as such engagement of monies with any commercial bank that also provides a predetermined rate of interest to the customers making such deposit. Interest acts like a return on investment in this case.
The above condition is a case of making recurring deposits at regular intervals. Upon satisfying the conditions given above, the amount of monies in the account can be computed as below,
At the end of year 1, the Total deposit after interest earned will be
3000 + 6.70% = $3,201.
At the end of two years,
(3201 + 2500) + 6.70% = $6,083.
At the end of three years,
(6083 + 2500) + 6.70% = $9,158.
At the end of four years,
(9158 + 2500) + 6.70% = $12439.
At the end of five years,
(12439 + 2500) + 6.70% = $15,940.
Thus, it can be concluded that at the end of five years the deposits made after earning the interest will be $15,940.
Learn more about deposits here:
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Barette Consulting currently has no debt in its capital structure, has $500 million of total assets, and its basic earning power is 15%. The CFO is contemplating a recapitalization where it will issue debt at a cost of 10% and use the proceeds to buy back shares of the company's common stock, paying book value. If the company proceeds with the recapitalization, its operating income, total assets, and tax rate will remain unchanged. Which of the following is most likely to occur as a result of the recapitalization? a) The ROA would remain unchanged b) The basic earning power ratio would decline c) The basic earning power ratio would increase d) The ROE would increase e) The ROA would increase
Answer:
d) The ROE would increase
Explanation:
Since the company's operating income will remain unchanged, net income will decrease due to interest expense, but the total number of shares outstanding will decrease. This will result in a higher EPS (earnings per share), and a higher ROE (return on equity), but it would also make the company's risk increase and Re (cost of equity) increase.
Your parents put $300 into an account paying 11 percent interest for you when you were ten. Ten years later they tell you that you can take the money out of the account. What is the balance to the nearest penny
Answer:
The balance in the account = $851.8
Explanation:
The future value of a lump sum is the amount expected at a future date when a sum of money is invested today at a particular rate of interest for certain number of years
.
This implies compounding the initial amount invested ($300) at the given interest rate(11%) for 10 years.This will be done as follows:
FV = PV × (1+r)^(n)
FV-Future value
r- rate of return per period
n- Number of period
PV - 300
r-11%
DATA
FV- ?
PV - 300
n- 10
FV= 300 × 1.11^10 = 851.83
The balance in the account = $851.8
DPMO stands for:______
a) Defects Per Million Opportunity
b) Defectives Per Million Opportunity
c) Data Per Million Opportunity
d) all of the above
e) none of the above
Answer:
a) Defects Per Million Opportunity
Explanation:
DPMO is an acronym which stands for Defects Per Million Opportunity. Defects per Million Opportunities refers to a standard metric which represents the number of defects in a process per one million opportunities.
In order to calculate the DPMO, we divide the number of defects by the number of opportunities and then multiply by a million.
Additionally, when a quality characteristics or properties do not tally with a standard or specifications it is generally referred to as a defect.
Hence, in a six sigma approach to quality or level of performance, the defects per million opportunities (DPMO) is 3.4.
air pollution causes capital to wear out more rapidly, doubling the rate of depreciation. How would this affect economic growth?
Answer:
The economic growth will be lower.
Explanation:
The rise in pollution and the doubling of the rate of depreciation will affect economic growth adversely. However, rapid wear and tear of capital will cost the person and it will reduce the purchasing power. Thus, lower purchasing power will result in lower economic growth. Moreover, pollution creates three main problems that are reduced labor productivity, rise in health problems, and loss of crop yield. So the reduction in all these factors will also slow down economic growth.
ZZZ-Best, Inc. recently issued $65 par value preferred stock that pays an annual dividend of $17. If the stock is currently selling for $76, what is the expected return of this preferred stock?
Answer:
r = 0.22368 or 22.368% rounded off to 22.37%
Explanation:
The expected or required rate of return on a preferred stock is the return provided by the stock in terms of dividend as a proportion of the current market price. The expected return on a preferred stock can be calculated as follows,
r = Dividend / current market price
r = 17 / 76
r = 0.22368 or 22.368% rounded off to 22.37%
The Herfindahl-Hirschman Index (HHI) is a mathematical approach to understanding market concentration that provides a single concentration indicator. What is the HHI for an industry characterized by the below noted data?Firm 1 has a market share of 40%Firm 2 has a market share of 20%Firm 3 has a market share of 15%Firm 4 has a market share of 15%Firm 5 has a market share of 10%HHI=___
Answer:
2550
Explanation:
The HHI is calculated by squaring the market share of each firm in the industry.
40² + 20² + 15² + 15² + 10² = 1600 + 400 + 225 + 225 + 100 = 2550
Founder of Vanguard, Jack Bogle, believes that all investors should buy stock indices. Group of answer choices He believes in strong form market efficiency. He believes in semi-strong form market efficiency. He believes in weak form market efficiency. He believes markets are not efficient.
Answer:
Correct Answer:
1. He believes in strong form market efficiency.
Explanation:
Jack Bogle believed that, in a situation where people simply buy an entire group of stocks as a result of investors investing money into the index fund, it will create a strong market. That is, if every investor in the world only purchased the same index fund, then the market of buyers and sellers would no longer set the fair market price of the stocks in the stock market.
The central problem in product-oriented layout planning is?
Answer: The minimizing the imbalance in the workloads among workstations.
Explanation:
Workspace can inspire informal and productive encounters if it balances what three physical and social aspects.
TB MC Qu. 8-187 The Charade Corporation is preparing its ... The Charade Corporation is preparing its Manufacturing Overhead budget for the fourth quarter of the year. The budgeted variable manufacturing overhead is $5 per direct labor-hour; the budgeted fixed manufacturing overhead is $95,000 per month, of which $17,000 is factory depreciation. If the budgeted direct labor time for November is 9,000 hours, then the total budgeted manufacturing overhead for November is:
Answer:
Allocated MOH= 140,000
Explanation:
Giving the following information:
The budgeted variable manufacturing overhead is $5 per direct labor-hour
The budgeted fixed manufacturing overhead is $95,000 per mont
The budgeted direct labor time for November is 9,000 hours
To allocate overhead, we need to use the following formula:
Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base
Allocated MOH= (5*9,000) + 95,000
Allocated MOH= 140,000
Badger Corporation declared a stock distribution to all shareholders of record on March 25 of this year. Shareholders will receive one share of Badger stock for each 10 shares of stock they already own. Madison Cheesehead owns 1,000 shares of Badger stock with a tax basis of $100 per share. The fair market value of the Badger stock was $110 per share on March 25 of this year.Required:a. What amount of taxable dividend income, if any, does Madison recognize in 2009? b. What is Madison's income tax basis in her new and existing stock in Badger Corporation, assuming the distribution is non-taxable? c. How would you answer questions a and b if Madison was offered the choice between 1 share of stock in Badger for each 10 shares she owned or $100 cash for each 10 shares she owned in Badger?
Answer:
a. What amount of taxable dividend income, if any, does Madison recognize in 2009?
Madison doesn't have to recognize any income because she is not getting any. Only after Madison decides to sell his stocks will he recognize any taxable income if she makes a gain.
b. What is Madison's income tax basis in her new and existing stock in Badger Corporation, assuming the distribution is non-taxable?
Madison current basis is $100 per stock, and after the stock dividend it will be $100 / 1.1 = $90.91 per stock
c. How would you answer questions a and b if Madison was offered the choice between 1 share of stock in Badger for each 10 shares she owned or $100 cash for each 10 shares she owned in Badger?
then the cash dividend would be $10 per stock, which results in $10 x 1,000 = $10,000 taxable income. Her basis in the stock will remain not change.
Conventional wisdom says one should measure a manager's investment performance over an entire market cycle. What arguments support this contention? What arguments contradict it?
Answer:
In every form of analysis, it is always safer to take a macro or holistic view of the situation. This is true for the investment performance of a manager. One investment decision that went right does not suffice to classify an investment portfolio manager as proficient, neither is one that went south enough to tag him deficient.
The forecasting ability of managers, on the balance of probability, will vary for different cases, with a helicopter view of providing a more accurate measure of their performance.
However, if it was possible to analyse the market for volatility and adjust our forecasts it becomes unnecessary to look at and analyse all the information from a 12-month cycle before coming to terms about the performance of the manager.
Cheers!
_____ refers to the choices about product attributes, distribution strategy, communication strategy, and pricing strategy that a firm offers its targeted marketsA. Segmentation
B. Supply chain
C. Logistics
D. Marketing mix
E. Media plan
Answer:
D. Marketing mix.
Explanation:
Marketing mix refers to the choices about product attributes, distribution strategy, communication strategy, and pricing strategy that a firm offers its targeted markets.
Generally, a marketing mix is made up of the four (4) Ps;
1. Products: this is typically the goods and services that gives satisfaction to the customer's needs and wants. They are either tangible or intangible items.
2. Price: this represents the amount of money a customer buying goods and services are willing to pay for it.
3. Place: this represents the areas of distribution of these goods and services for easier access by the potential customers.
4. Promotions: for a good sales record or in order to increase the number of people buying a product and taking services, it is very important to have a good marketing communication such as advertising, sales promotion, direct marketing etc.
Which of the following are recommended ways to learn more about IT careers? Check all of the boxes
that apply.
scheduling an appointment with a career counselor at a school
attending an informational session
applying for an internship
renting a science fiction movie about computer viruses
contacting a professional organization, such as CompTIA
Answer:
scheduling an appointment with a career counselor at a schoolattending an informational sessionapplying for an internshipcontacting a professional organization, such as CompTIAExplanation:
To learn more about IT careers or just carriers in general, one can contact the Career counselor at school. Their job is to help students find out more abut careers so that they know which path they would like to follow.
One can also attend information sessions where they can listen to people speak on IT careers and ask questions they would like answers to as well.
A practical way to find out about IT careers is to intern at an IT firm. This way you get to see first hand what the job entails and if it is the kind of thing you would like to do.
There are also professional organizations that offer certifications in IT such as CompTIA. As they are well versed in the area, they can provide more information on IT careers including the educational background required.
Answer:
1. Scheduling an appointment with a career counselor at school.
2. Attending an informational session.
3. Applying for an internship
5. Contacting a professional organization, such as CompTIA.
Explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.
Assume MIX Inc. has sales volume of $1,198,000 for two products with May sales and contribution margin ratios as follows:
Product A: Sales $466,000; Contribution Margin Ratio 30%
Product B: Sales $732,000; Contribution Margin Ratio 60%
Required: Assume MIX's fixed expenses are $302,000. Calculate the May total contribution margin, operating income, average contribution margin ratio, and breakeven sales volume. (Round "Average contribution margin ratio" answer to 2 decimal places. Round up "Breakeven sales volume" answer to nearest whole dollar.)
Total contribution margin
Operating income
Average contribution margin ratio
Breakeven sales volume
Answer:
total contribution margin = $579,000
operating income = $277,000
average contribution margin ratio = 48.33%
break even sales volume = $624,870.68
Explanation:
Product A: Sales $466,000; Contribution Margin Ratio 30%
Product B: Sales $732,000; Contribution Margin Ratio 60%
Mix's fixed expenses are $302,000
total contribution margin = ($466,000 x 30%) + ($732,000 x 60%) = $139,800 + $439,200 = $579,000
weighted contribution margin = (466/1198 x 30%) + (732/1198 x 60%) = 11.67% + 36.66% = 48.33%
break even sales volume = $302,000 / 48.33% = $624,870.68
operating income = $579,000 - $302,000 = $277,000
Identify factors that could prevent an older, established company from effecting an enterprise-wide, customer-centric culture.
Answer:
A more established company may find it difficult to implement an enterprise-wide, customer-centric culture due to the following reasons:
A) Existence of a Multi-Product Business Model
A business entity that is well established with a lot of years under its belt will find it a tough challenge to shift from a product-oriented business model to a customer-oriented business model.
To be product-focused simply means that that a company has woven its organisational structure around products. For examples, a company that is into the gaming business may have teams for their Sports Betting Section, another for their online gaming section, game hardware section, gaming apps section etc.
First, for these various teams, their performance metric will largely depend on how functionally efficient their products are.
Second, techy or geeky staff are seldom efficient when it comes to emotional intelligence - a key requirement for being customer efficient.
One way to handle this is to ensure that there is a central Customer Relationship Management team that oversees the customers for each product.
B) Organisational Inflexibility
As direct to the point as it sounds, getting market intelligence for with the intention to use them for decision making is challenging. What is tougher is the ability to implement the insights from such intelligence to effect a turn around in the way customers perceive and respond to a company's offerings.
The ability to quickly take gather market intel, agree on a strategic direction based on same and execute can be referred to organisational agility.
The more bureaucratic and hierarchical an organisation is (this, by the way, characterises older and more established business systems) the less agile it is likely to be.
Cheers!
A firm has net working capital of $2,715, net fixed assets of $22,407, sales of $31,350, and current liabilities of $3,908. How many dollars' worth of sales are generated from every $1 in total assets
Answer:
So, from every $1 of total assets, $1.08 worth of sales are generated.
Explanation:
To calculate how many dollars worth of sales are generated by $1 of total assets, we use the total assets turnover ratio. It is an accounting measure that measures the efficiency of the company's assets in generating sales. It calculates the dollar values of sales generated by each $1 of total assets. The formula for total assets turnover is,
Total Assets Turnover = Sales / Average Total Assets
We already know the level of sales. We need to determine the value of total assets first.
Total Assets = Fixed assets + Current Assets
As we know that net working capital = current assets - current liabilities,
So, the current assets are,
2715 = Current assets - 3908
2715 + 3908 = Current assets
Current assets = $6623
Total assets = 6623 + 22407
Total assets = $29030
Total Assets Turnover = 31350 / 29030
Total assets turnover = 1.0799 rounded off to 1.08
So, from every $1 of total assets, $1.08 worth of sales are generated.
Compromising is most likely the best approach to conflict management when opponents with equal power are committed to mutually exclusive goals.
a. True
b. False
Answer:
true
Explanation:
when two opponents with equal power are committed to mutually exclusive goals then they have to reach a compromise.in a compromise, either of these two parties having a conflict would be willing to give up something to reach an agreement. The needs of both sides would be balanced, as both sides would have to make sacrifices. This makes it a lose-lose approach to conflict resolution for either parties involved. A compromise has to be reached for important goals to be achieved.
erekes Manufacturing Corporation has prepared the following overhead budget for next month. Activity level 3,200 machine-hours Variable overhead costs: Supplies $ 16,640 Indirect labor 29,120 Fixed overhead costs: Supervision 15,400 Utilities 6,600 Depreciation 7,600 Total overhead cost $ 75,360 The company's variable overhead costs are driven by machine-hours. What would be the total budgeted overhead cost for next month if the activity level is 3,100 machine-hours rather than 3,200 machine-hours
Answer:
Variable overhead= $44,330
Fixed overhead= $29,600
Total overhead= $73,930
Explanation:
Giving the following information:
Total variable overhead= $45,760
Total fixed overhead= $29,600
Total overhead cost= $75,360
First, we need to calculate the variable predetermined overhead rate:
Variable predetermined overhead rate= 45,760/3,200= $14.3 per machine hour
Now, for 3,100 hours:
Variable overhead= 14.3*3,100= $44,330
Fixed overhead= $29,600
Total overhead= $73,930
A company's Office Supplies account shows a beginning balance of $720 and an ending balance of $640. If office supplies expense for the year is $3,700, what amount of office supplies was purchased during the period
Answer:
Purchases= $3,620
Explanation:
Giving the following information:
Beginning inventory= $720
Ending inventory= $640
Purchase= ?
Used in the period= $3,700
To calculate the purchases, we need to use the following formula:
Purchases= used in the period + desired ending inventory - beginning inventory
Purchases= 3,700 + 640 - 720
Purchases= $3,620
Bramble Corp. purchased equipment for $48800. Sales tax on the purchase was $2928. Other costs incurred were freight charges of $732, repairs of $427 for damage during installation, and installation costs of $813. What is the cost of the equipment
Answer:
Cost of equipment = $52,887
Explanation:
According to International Accounting Standards (IAS) 16, property plants and equipment, the cost of land includes all of the cost necessary to bring and make it ready for the intended use.
These costs include purchase cost, fees and commission associated with the purchase transaction.
Here in this question the installation cost, sales taxes and repairs slab all fall within the definition of IAS 16
Hence cost of the equipment
48,800 + 2,928 + 732 + 427 = $52,887
Cost of equipment = $52,887
The common stock of Eddie's Engines, Inc., sells for $37.13 a share. The stock is expected to pay a dividend of $3.10 per share next year. Eddie's has established a pattern of increasing their dividends by 5.2 percent annually and expects to continue doing so. What is the market rate of return on this stock?
Answer:
13.55%
Explanation:
The common stock of Eddies engines is sold at $37.13 per share
The stock is expected to make a payment of $3.10 per share next year
The growth rate is 5.2%
Therefore, the market rate of return on the stock can be calculated as follows
Market rate of return= Next dividend payment/stock price × growth rate
= $3.10/$37.13 + 5.2%
= 0.0835×100 + 5.2%
= 8.35%+5.2%
= 13.55%
Hence the market rate of return on this stock is 13.55%
true or false: a supply curve describes how much a producer of services are willing to sell at different prices
Answer:
True
Explanation:
The supply curve is a graph showing the quantities of a good or service a supplier is willing and able to supply at differnt prices.
According to the law of supply. the higher the price, the higher the quantity supplied and the lower the price, the lower the quantity supplied.
the supply curve is upward sloping
A company reported that its bonds with a par value of $50,000 and a carrying value of $57,500 are retired for $60,600 cash, resulting in a loss of $3,100. The amount to be reported under cash flows from financing activities is:
Answer:
The amount this company would report under cash flows from financing activities is $60,600.
Explanation:
These cash flows of $60,600 represent the actual cash outflows, an amount that bondholders would receive from the company in retirement of the bonds. The statement of cash flows records the actual cash inflows and outflows of a company transactions during a particular accounting period. Every item is adjusted to reflect the actual cash flows. It is strictly based on the Cash Basis of accounting instead of the accrual basis.
The marketing department of Jessi Corporation has submitted the following sales forecast for the upcoming fiscal year (all sales are on account):
1st Quarter 2nd Quarter 3rd Quarter 4th Quarter
Budgeted unit
sales 12,200 13,200 15,200 14,200
The selling price of the company’s product is $21 per unit. Management expects to collect 65% of sales in the quarter in which the sales are made, 30% in the following quarter, and 5% of sales are expected to be uncollectible. The beginning balance of accounts receivable, all of which is expected to be collected in the first quarter, is $72,600.
The company expects to start the first quarter with 2,440 units in finished goods inventory. Management desires an ending finished goods inventory in each quarter equal to 20% of the next quarter’s budgeted sales. The desired ending finished goods inventory for the fourth quarter is 2,640 units.
Required
1-A. Complete the company's sales budget.
1st Quarter 2nd Quarter 3rd Quarter 4th Quarter Year
Budgeted Units Sales
Selling Price Per Unit
Total Sales
1-B. Complete the schedule of expected cash collections.
1st Quarter 2nd Quarter 3rd Quarter 4th Quarter Year
Beginning Accts Receivable
1st Quarter Sales
2nd Quarter Sales
3rd Quarter Sales
4th Quarter Sales
Total Cash Collections
2. Prepare the company’s production budget for the upcoming fiscal year.
1st Quarter 2nd Quarter 3rd Quarter 4th Quarter Year
Budgeted Unit Sales
Total Needs
Required Production in Units
Answer:
1-A. Sales budget
1st 2nd 3rd 4th
Quarter Quarter Quarter Quarter Year
Sales units 12,200 13,200 15,200 14,200 54,800
Price per unit $21 $21 $21 $21 $21
Total sales $256,200 $277,200 $319,200 $298,200 $1,150,800
1-B. Cash collections budget
1st 2nd 3rd 4th
Quarter Quarter Quarter Quarter Year
Collections from $72,600 $76,860 $83,160 $95,760 $72,600
previous quarter
Collections from $166,530 $180,180 $207,480 $193,830 $1,003,900
current quarter
Total $239,130 $257,040 $290,640 $289,690 $1,076,500
2. Productions budget
1st 2nd 3rd 4th
Quarter Quarter Quarter Quarter Year
Sales units 12,200 13,200 15,200 14,200 54,800
Planned ending 2,640 3,040 2,840 2,640 2,640
inventory
Total production 14,840 16,240 18,040 16,840 65,960
required
- Beginning 2,440 2,640 3,040 2,840 2,440
inventory
Units to be 12,400 13,600 15,000 14,000 63,520
produced
Answer:
sells budget
Explanation:
Baldwin has negotiated a new labor contract for the next round that will affect the cost for their product Buzz. Labor costs will go from $2.10 to $2.60 per unit. In addition, their material costs have fallen from $6.82 to $5.82. Assume all period costs as reported on Baldwin's Income Statement remain the same. If Baldwin were to pass on half the new costs of labor and half the savings in materials to customers by adjusting the price of their product, how many units of product Buzz would need to be sold next round to break even on the product
Answer:
433 units
Explanation:
Information related to production costs are missing, so I looked for it. I found the following:
current sales price = $17
current fixed costs = $7,242
new labor costs per unit = $2.60, which results in a $0.50 increase
new direct materials cost per unit = $5.82, which results in a $1 decrease
total variable costs per unit = $8.42
Baldwin plans to pass 50% of the changes in costs to its customers:
Increase $0.25 due to higher labor costsdecrease $0.50 due to lower materials costsnet change = -$0.25new sales price = $17 - $0.25 = $16.75
contribution margin per unit = $16.75 - $8.42 = $8.33
break even point in units = total fixed costs / contribution margin per unit = $7,242 / $16.75 = 432.36 = 433 units
Data regarding four different products manufactured by an organization are presented below. The manufacturer has a constrained resource - machine hours.
Product A Product B Product Product D
Selling price per unit $20.00 $25.00 $23.00 $15.00
Variable cost per unit $10.00 $16.00 $11.00 $7.00
Hours to make each unit 5 hours 25 hours 2 hours 35 hours
Rank these four products in order of profitability.
1
2
3
4
Identify at least two challenges that Salesforce faces and explain why these are important challenges to Salesforce.
Answer:
Two challenges that Salesforce may face today:
1. Competitions
2. Cash Flows
Explanation:
1. Salesforce has been the global Software-as-a-Service (SaaS) provider for Customer Relationship Management (CRM) system. However, they are challenged by new market joiners such as Hubspot. There are also new startups offering free and simple cloud-based CRM systems that targetting small businesses. The entry of the new competitors seriously threatens the leading market share of Salesforce.
2. The current pandemic affected negatively to all enterprises, including Salesforce's outstanding customers. They should expect a drop in their total number of fee payers while the cost to maintain their high product standard is still the same as before. It may give them a lot of working capital headaches.
Explain how to use the decision trees and Monte Carlo analysis for quantifying risk. Give an example of how you would use each technique on an IT project.
Answer:
The answer is below
Explanation:
Decision Tree Analysis is a form or type of quantitative risk assessment tool and techniques that involves a diagram that indicates the significances of choosing one or other alternatives.
In other words, the purpose of the tool is to assist you to select between several courses of action.
For example, lines are drawn towards the right for each possible solution, and then the solution is written along the line. Then evaluation of each alternative can be easily considered.
On the other hand, Monte Carlo Analysis is also a form or type of quantitative risk assessment tools and techniques that utilizes optimistic, most probable, and cynical estimates to infer the total project cost and project completion dates.
For example, an estimate of the probability of completing a project at a cost of $100M can be carried out using Monte Carlo Analysis
x
Holiday Laboratories purchased a high-speed industrial centrifuge at a cost of $460,000. Shipping costs totaled $11,000. Foundation work to house the centrifuge cost $7,300. An additional water line had to be run to the equipment at a cost of $3,900. Labor and testing costs totaled $5,400. Materials used up in testing cost $3,200. The capitalized cost is:
Answer:
$490,800
Explanation:
In order to arrive at the capitalized cost, we will sum up all the cost in the above question because those costs were incurred by the company - Holiday Laboratories to getting the assets prepared for use.
Therefore, Capitalized cost
= High speed industrial centrifuge + Shipping cost + Foundation work + Additional equipment cost + Labor and testing cost + Material cost
= $460,000 + $11,000 + $7,300 + $3,900 + $5,400 + $3,200
= $490,800
A financial advisor informs a client that the expected return on a portfolio is 8% with a standard deviation of 12%. There is a 25% chance the return will be negative and a 15% chance that the return would be above 16%. Does her assessment follow a normal distribution? Calculate the probabilities for a normal distribution and compare.
Answer:
A) The assessment does not follow a normal distribution
B ) P(r<0) = 0.2546 ( from standard normal table ), P( r > 0.16 ) ≠ 0.15
Explanation:
Expected return on portfolio E (r) = 8%
Standard deviation (STD) = 12%
chances of Negative return P(r < 0 ) = 25%
calculate the probabilities for a normal distribution
E (r) = 0.08 , STD = 0.12, P(r < 0 ) = 0.25
P( r > 0.16 ) = 0.15
calculating the value of the probability P(r < 0 )
P(r < 0 ) = P [tex](Z < \frac{0-E(r)}{STD} )[/tex]
= P ( Z < [tex]\frac{0-0.08}{0.12}[/tex] )
= P ( Z < - 0.667 )
P(r<0) = 0.2546 ( from standard normal table )
calculating the value of the probability P( r > 0.16 )
P( r > 0.16 ) = [tex]P ( Z > \frac{0.16- E(r)}{STD})[/tex]
= P ( Z > [tex]\frac{0.16-0.08}{0.12}[/tex] )
= P ( Z > 0.667 )
to compare if p(r>0.16 ) is = 0.15
P(R > 0.16 ) = 1 - P ( Z < 0.667 )
= 1 - 0.7454 ( value from standard normal table )
= 0.2546
hence P( r > 0.16 ) ≠ 0.15
The assessment does not follow a normal distribution
