Question options:
A. Create an environment in which stakeholders feel safe to provide input.b)Get delivery acceptance from the customer.c)Elicit a 360-degree view and input from all stakeholders to create a more complete picture of project issues.d)Use several questionnaires as a starting point to conduct the post-project retrospective.e)Lead the team in exploring new ways for solving problems
Answer:
b)Get delivery acceptance from the customer
Explanation:
The closure facilitator can be the project manager and does not get delivery acceptance from customer in project management. The closure facilitator is the one in charge of ensuring project objectives are met by drafting the agendas and looking for ways to achieve meeting objectives in project facilitation. The project facilitator creates an environment that makes it possible for the group and everyone involved in the project to put heads together to solve problems in the project
Jiminy Cricket Removal has a profit margin of 7.6%, total asset turnover of 1.73, and ROE of 17.2%. What is this firm s debt-equity ratio?
Answer:
The debt to equity ratio is 30.81%
Explanation:
The computation of the debt equity ratio is shown below:
ROE = Profit margin × Asset turnover × equity multiplier
17.2% = 7.6% × 1.73 × (1 + debt ÷ equity)
17.2 ÷ 13.148 = (1 + debt ÷ equity)
1.308184 = (1 + debt ÷ equity)
So, after solving this,
hence, The debt to equity ratio is 30.81%
We simply applied the Dupont analysis and the same is to be considered
Uber Beacon would be an example of which of the following?
A. core innovation.
B. innovation system.
C. process innovation.
D. transformational innovation
Answer:
Uber Beacon is an example of core innovation.
Explanation:
Uber Beacon is an example of core innovation because its a product upgrade that enable customers identify the exact car picking them up and enhance the ride experience.
Core innovation is simply studying the norm and creating a new pattern to change or integrate the existing pattern. Core innovation can be an upgrade of an existing platform or total replacement which in turns improves customers' experience. Uber Beacon is a change in pattern as it improves customers' expectations.
SDJ, Inc., has net working capital of $3,640, current liabilities of $5,430, and inventory of $4,290. a. What is the current ratio? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.) b. What is the quick ratio? (Do not round intermediate calculations. Round your answer to 2 decimal places, e.g., 32.16.)
Answer and Explanation:
The computation is shown below:
a. For current ratio
Current ratio = Current assets ÷ current liabilities
Before that first determine the current assets
As we know that
Net working capital = Current asset - Current liability
$3,640 = Current asset - $5,430
So,
Current asset is
= $3,640 + $5,430
= $9,070
Now the current ratio is
= $9,070 ÷ $5,430
= 1.67 times
b. The quick ratio is
Quick ratio = (Current asset - Inventory) ÷ Current liability
= ($9,070 - $4,290)÷ $5,430
= $4,780 ÷ $5,430
= 0.88 times
Which of the following brand names lacks an inherent meaning?a. Coca-Colab. Nike
c. Trump Towersd. Geek Squad
The answer is c Trump Tower. Because it is not considered a brand while Coca-Cola, Nike, and Geek Squad all are brands from companies. While Trump Tower is a building.
Hope this helps ! <3
Which type of factor of production is a road?
erm it's the goods one so it's secondary
Kayleigh is looking over a number of material requisition slips from her employees. She has to sign off on each request after reviewing it, which she thinks is a waste of time and effort. Kayleigh believes that having the name of the employee who requested the materials should be enough. Is she correct?
Answer: B : No, approval by an individual other than the requestor establishes greater accountability over inventory.
Explanation:
The purpose of reviewing the material requisition slips is to ensure that there is greater accountability in inventory acquisition and this is why it is important that someone else apart from the person requesting approves the inventory request as it will reduce chances of fraud.
If the person requesting could also approve, there is a chance that inventory that is not needed will be ordered and then used for purposes other than to benefit the business but to benefit the person who requested it.
Read the scenario:You are writing a research report on financial derivatives.
What should you do when performing secondary-source research? A. Search electronic databases for relevant material.
B. Conduct interviews with subject experts.
C. Go to the library, and look for books on the subject.
D. Hold focus groups.
Answer:
A. Search electronic databases for relevant material.
C. Go to the library, and look for books on the subject.
Explanation:
In a research study, a secondary source is a term that describes a form of source which is not the original source to the interpreted data. In other words, it involves already prepared data which can easily be found in places like academic books and journals
Hence, in this case, when performing secondary-source research, the following should be done amongst others:
1. Search electronic databases for relevant material.
2. Go to the library, and look for books on the subject.
This is because the aforementioned involves a place to get a secondary source and it will save time and effort.
On the other hand, Holding focus groups and conducting interviews involves primary source research
A stock that sold for $ per share at the beginning of the year was selling for $ at the end of the year. If the stock paid a dividend of $ per share, what is the simple interest rate on the investment in this stock? Consider the interest to be the increase in value plus the dividend.
Answer:
137.77%
Explanation:
obviously the numbers are missing, so I looked for a similar question:
"A stock that sold for $26 per share at the beginning of the year was selling for $52 at the end of the year. If the stock paid a dividend of $9.82 per share, what is the simple interest rate on the investment in this stock? Consider the interest to be the increase in value plus the dividend."
total interest received (your gain) = (year end market value - purchase price) + dividends received = ($52 - $26) + $9.82 = $35.82initial investment (purchase price) = $26simple interest rate of return on investment = total interest received / initial investment = $35.82 / $26 = 1.3777 or 137.77%
Equivalent Units of Materials Cost The Rolling Department of Kraus Steel Company had 4,600 tons in beginning work in process inventory (70% complete) on October 1. During October, 77,000 tons were completed. The ending work in process inventory on October 31 was 3,900 tons (40% complete). What are the total equivalent units for direct materials for October if materials are added at the beginning of the process? 80,900 units
Answer:
Total equivalent units= 80,900 tons
Explanation:
Giving the following information:
During October, 77,000 tons were completed. The ending work in process inventory on October 31 was 3,900 tons (40% complete).
Because the direct material is added at the beginning of the process, we should not take into account the beginning inventory. It was recognized the previous month.
For direct material, each ton is completed at 100%.
Units completed= 77,000*1 = 77,000
Ending inventory= 3,900*1= 3,900
Total equivalent units= 80,900 tons
Zipcar: Creating Value in the Marketplace Zipcar: Creating Value in the Marketplace Nearly a decade ago, the founders of Zipcar decided to bring the car-sharing experience to the United States. Since then, Zipcar has developed the gold standard by offering its members 24/7 access to thousands of cars around the world and creating a revolution in the way many think about alternate transportation. This activity is important because understanding the marketplace, especially consumers' needs and wants, is fundamental to marketing success. The goal of this exercise is to demonstrate how marketing focuses on creating value for customers, clients, partners, and society at large. Read the case of about how Zipcar creates value in the car-sharing services market and answer the questions that follow. Zipcar is a membership-based car sharing service offering automobile rental to its members in hour or day increments. Zipcar was founded in 2000 by Robin Chase and Antje Danielson, who were inspired by the success of car sharing in Europe; Avis Budget Group acquired the company in 2013. Zipcar has become the world's largest car-sharing service in over 50 North American cities, 20+ European cities, and over 100 college campuses in North America. Zipcar offers different types of membership, with plans aimed at both occasional and frequent drivers. In addition, special plans for corporations and universities are offered. In addition to monthly or annual membership fees, customers pay rental charges to use a Zipcar. Members can view vehicle accessibility and reserve a vehicle on Zipcar's website, using its mobile app, or on the telephone. "Zipsters" (as Zipcar members are called) are given a "Zipcard" that contains a wireless chip that opens their reserved vehicle; keys are stored inside the vehicle, along with a gas card members can use to fill the tank. When the Zipster is done with the car, s/he returns it to the car's home location (a reserved spot for the automobile in the member's area). Zipcar's fleet consists of automobiles from Audi, BMW, Ford, Honda, Nissan, and Toyota Ford and Toyota have partnered with Zipcar to test their new electric and hybrid options with Zipcar members. Zipcar focuses not only on creating a convenient experience for its members, but also on developing awareness about alternative transportation options. One of Zipcar's core missions is to "change the world through urban and environmental transformation." 1a. Zipcar is an example of what type of market... Zipcar is an example of what type of market orientation? Multiple Choice Ο exchange marketing Ο sales marketing Ο value-based marketing Ο production marketing Ο providence marketing
Complete Question
The complete question is shown on the first , second, third, fourth and fifth uploaded image
Answer:
1a
The correct option is C
1b
The correct option is D
1c
The correct option is C
1d
The correct option is C
Explanation:
1a. Zipcar is an example of what type of market...
Answer: value-based marketing
1b. Zipcar's goal is to have an available... Zipcar's goal is to have an available zipcar located within 10-15 minutes of its members. This is an example of what component of the marketing mix?
Answer:Place
1c Zipcar traditionally focused on marketing t... Zipcar traditionally focused on marketing toward individuals without cars as a convenient form of alternative transportation. Zipcar has now begun to also focus its marketing toward businesses and organizations to use Zipcar for their employees. This is an example of
Answer: B2B marketing
1d
1d. Which of the following statements about Zipcar illust... Which of the following statements about Zipcar illustrates how marketing can help to enrich society
Answer: One of Zipcar's core mission is to "change the world through urban and environmental transformation"
Question 2 of 10
What are two types of strategies businesses use to directly influence the
environment?
A. Social media and strategic financing
B. Social media and rebranding
C. Formal organizational structure and informal organization
D. Lobbyists and flames
Answer:social media and strategic financing
Explanation:
Apex
A manufacturer of tiling grout has supplied the following data:
Kilograms produced and sold 340,000
Sales revenue $1,910,000
Variable manufacturing expense $956,000
Fixed manufacturing expense $258,000
Variable selling and administrative expense $363,000
Fixed selling and administrative expense $224,000
Net operating income $109,000
The company's contribution margin ratio is closest to:_______.
(A) 49.9%
(B) 81.0%
(C) 30.9%
(D) 74.8%
Answer:
(C) 30.9%
Explanation:
Calculation for the company's contribution margin ratio
First step is to find the Contribution margin using this formula
Contribution margin = Sales - Variable expenses
Let plug in the formula
Contribution margin = $1,910,000-$1,319,000
Contribution margin = $591,000
Second step is to calculate for the Contribution margin ratio using this formula
Contribution margin ratio= Contribution margin ÷ Sales
Let plug in the formula
Contribution margin ratio = $591,000 ÷ $1,910,000
Contribution margin ratio = 0.309×100
Contribution margin ratio=30.9%
Calculation for Total Variable expenses
Variable manufacturing expense $956,000
Variable selling and administrative expense $363,000
Total $1,319,000
Therefore the Contribution margin ratio will be 30.9%
The company's contribution margin ratio is closest to 30.9%. A company's contribution margin ratio (CM ratio) is determined by dividing revenue by revenue less all variable costs. It stands for the small gain from manufacturing an extra unit. Thus, option C is correct.
The company's contribution margin ratio is calculated as:
Sales minus variable costs equal contribution margin.
formula:
Margin of contribution = $1,910,000 - $1,319,000
Margin of contribution = $591,000
The Contribution margin ratio is calculated in the following step using this formula.
Sales Contribution Margin to Calculate Contribution Margin Ratio
formula:
The ratio of contribution: $591,000 divided by $1,910,000
Contribution margin ratio: 0.309 to one hundred.
The ratio of contribution is 30.9%
Total Variable Expense Calculation
$956,000 in variable manufacturing costs
$363,00 in variable marketing and administrative costs
Total $1,319,000
The Contribution Margin Ratio will thus be 30.9%.
Revenue is less variable costs equal contribution margin. The formula for calculating the contribution margin ratio is (Revenue - Variable Costs) / Revenue.
The contribution margin may not always be a reliable indicator of economic gain. There may be major fixed costs that businesses must take into account. To ascertain how many units must be sold at what price for a business to break even, a break-even analysis may be necessary.
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Which of the following is an advantage of relying on internal recruitment sources?
A) They are likely to promote diversity.
B) Using internal recruitment helps ensure employees all think alike.
C) They are generally cheaper and faster than looking outside the organization.
D) For entry-level positions,there will always be many recruits from which to select.
E) All of the choices are advantages of relying on internal recruitment sources.
Answer:
C) They are generally cheaper and faster than looking outside the organization.
Explanation:
Internal recruitment can be defined as a process used by human resources managers to fill vacant positions existing within an organization from an existing workforce or labor force.
An advantage of relying on internal recruitment sources is that they are generally cheaper and faster than looking outside the organization.
Additionally, an internal recruitment process is more advantageous than the external recruitment process because it generally provides a pool of applicants who are well-known or familiar to the organization, as well as improving loyalty among employees.
What is the best way to share functions across more than one project?
Answer:Place the code for the functions in a module and add that module to each project.
Explanation:
The benefits of a reduction of corporate tax to the country
Answer:
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Between quarter 10 and quarter 11, real GDP grew by what percentage?
a. 5%
b. 6%
c. 3%
d. 4%
e. –5%
Incomplete question.
However, let's assume the real GDP for quarter 10 was $45,000and for quarter 11 is $47,250.
Answer:
a. 5%
Explanation:
First, remember that the real GDP refers to the total value of all of the final goods and services produced in an economy during a given period (usually a year) after taking into account inflation.
To find the percentage increase, we subtract
$47250-$45,000 = $2250
Next, we find the percentage of the amount on $45,000
$2250/$45000 * 100 = 5%
What is the term for the illegal practice of using special
knowledge about a firm for profit or gain?
Answer:
Insider trading.Explanation:
Illegal practice of using special knowledge about a firm for profit or gain is called insider trading
Helga runs a website on which she sells houseplants. She also earns through pay-per-click advertising that allows search engines to show targeted ads on her site. Which of these products are likely to be advertised on her website? Please select all answers that apply. Select all that apply.
Answer:
Gardening gloves
Terracotta planters
Garden scissors
Watering cans
Explanation:
In the context, Helga owns and runs a online business. She has a website where she sells online houseplants. There are various houseplants available on her site from where people can buy it and get it delivered to their house.
She also makes earnings by the advertisement of various gardening products whose add runs on her sire and she earns through a pay per click basis. Some of the products that are likely to be advertised in her website are gardening gloves, garden scissors, terracotta planters, watering cans, manures and fertilizers,etc.
Halifax Manufacturing allows its customers to return merchandise for any reason up to 90 days after delivery and receive a credit to their accounts. All of Halifax's sales are for credit (no cash is collected at the time of sale). The company began 2021 with a refund liability of $400,000. During 2021, Halifax sold merchandise on account for $13,400,000. Halifax's merchandise costs is 65% of merchandise selling price. Also during the year, customers returned $661,000 in sales for credit, with $365,000 of those being returns of merchandise sold prior to 2021, and the rest being merchandise sold during 2021. Sales returns, estimated to be 5% of sales, are recorded as an adjusting entry at the end of the year. Required: 1. Prepare entries to (a) record actual returns in 2021 of merchandise that was sold prior to 2021; (b) record actual returns in 2021 of merchandise that was sold during 2021; and (c) adjust the refund liability to its appropriate balance at year end. 2. What is the amount of the year-end refund liability after the adjusting entry is recorded
Answer:
actual returns:
refund liabilities 365,000 debit
cash 365,000 credit
inventory 237,250 debit
inventory-returns 237,250 credit
--returns on the previous year--
refund liabilities 296,000 debit
account receivables 296,000 credit
inventory 237,250 debit
inventory-returns 237,250 credit
--returns in the current year--
192,400
adjusting entry:
sales return 670,000 debit
refund liability 670,000 credit
inventory-returns 237,250 debit
cost of goods sold 237,250 credit
--returns in the current year--
Balance of allowance for sales refunds: 409,000
Explanation:
When returning their goods the customer's receivables are canceled.
We also need to calculate the cost of these goods that return to the company's inventory.
365,000 x 65% = 237,250
296,000 x 65% = 192,400
credit-sales: 13,400,000
estimated returns: 5% >> 670,000
estimated inventory-returns 670,000 x 65% = 435,500
We work with our liabilities and return accounts rather than the cost of good sold and sales returns as these are adjusted at year-end based on credit sales.
Balance:
beginning 400,000
returns (661,000)
year-end
adjust 670,000
ending 409,000
You purchased a share of stock for $20. One year later you received $1 as a dividend and sold the share for $29. What was your holding-period return?
a. 45%.
b. 30%.
c. 5%.
d. 40%.
e. none of the above.
Answer:
e. none of the above.
Explanation:
Holding period return = ($1 + $29 - $20) / $20
Holding period return = 0.50
Holding period return = 50%
Neha is writing a report comparing the profits of three fashion design houses What type of organizational method should she use? a) Importance b) Component c) Time
Answer:
b) Component
Explanation:
Since in the question it is mentioned that the neha has written a report in which the profits of three fashion design houses could be compared
So in this situation, the component organizational method could help for knowing the strategic and the operational information so that it would be easy for comparing the profits between these three fashion houses
Therefore the option b is correct
Rick and Jose gain new market information regarding a potential entrepreneurial opportunity. Despite the fact that both of them have gained access to this new information, only one of these individuals has access to additional information suggesting that other competitors are already moving to exploit this opportunity. What is this an example of
Incomplete. Here are the options;
A. information asymmetry
B. information assurance
C. information reliability
D. information asset
E. social networking
Answer:
A. information asymmetry
Explanation:
The concept of Information asymmetry involves a situation where one party in a relationship has more or better information than the other party.
In this case, there exists a party with more (additional) information than the other, hence it is a good example of information asymmetry.
The given description most likely exemplifies the situation of:
A). Information Asymmetry
'Information Asymmtery' is characterized as the terminology that is employed to denote the transactions(holding between two parties) that involve one party(buyer or seller) possessing comparatively more or added information than the other party. In the given scenario, one party possessing extra information regarding the other competitors' hunt on this newly available opportunity would be characterized as 'Information Asymmetry.' Therefore, this correctly exemplifies the concept.
Thus, option A is the correct answer.
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Shares Remaining After Recapitalization Dye Trucking raised $290 million in new debt and used this to buy back stock. After the recap, Dye's stock price is $8.5. If Dye had 75 million shares of stock before the recap, how many shares does it have after the recap? Enter your answers in millions. For example, an answer of $10,550,000 should be entered as 10.55. Do not round intermediate calculations. Round your answer to two decimal places. million shares
Answer: 40.8824 million
Explanation:
From the question, we are informed that Dye Trucking raised $290 million in new debt and used this to buy back stock and that after the recap, Dye's stock price is $8.5.
If Dye had 75 million shares of stock before the recap, the number of shares that it'll have after the recap goes thus:
The number of shares repurchased is:
= $290million/$8.5
= 34,117,647
= 34.1176 million
Shares after the recap will now be:
= 75 million - 34.1176 million
= 40.8824 million
Why is the answer C?
Explanation:
At a price of $4.00, the quantity is 1 + 5 + 8 = 14.
At a price of $2.00, the quantity is 0 + 3 + 4 = 7.
The quantity decreased by 7. So A and B are false.
Ann's supply curve is linear, so her change in quantity will be proportional to the price change. However, Barry and Charlie have nonlinear supply curves, so their change in quantity will not be proportional. So D is false.
Only C is true. At a price of $2.00, Charlie's quantity is 0.
At the start of the current year, SBC Corp. purchased 25% of Sky Tech Inc. for $46 million. At the time of purchase, the carrying value of Sky Tech's net assets was $62 million. The fair value of Sky Tech's depreciable assets was $10 million in excess of their book value. For this year, Sky Tech reported a net income of $62 million and declared and paid $10 million in dividends. The total amount of additional depreciation to be recognized by SBC over the remaining life of the assets is:
Answer:
The total amount of additional depreciation to be recognized by SBC over the remaining life of the assets is $2,500,000
Explanation:
The total amount of additional depreciation to be recognized by SBC over the remaining life of the assets is:
= $10,000,000 * 25%
= $10,000,000 * 0.25
= $2,500,000
Which of the following statements about the balance sheet are true? (Select all that apply.)Check All That ApplyA classified balance sheet to provide useful information about liquidity and long-term solvency.A classified balance sheet to provide useful information about liquidity and long-term solvency.Liquidity refers to an assessment of whether a company will be able to pay all its liabilities.Liquidity refers to an assessment of whether a company will be able to pay all its liabilities.Although many valuable resources are not recorded as assets in the balance sheet, these resources are reflected in the company’s book value.Although many valuable resources are not recorded as assets in the balance sheet, these resources are reflected in the company’s book value.The less financial flexibility, the more risk there is that an enterprise will fail.The less financial flexibility, the more risk there is that an enterprise will fail.
Answer:
These statements are true:
Classified balance sheet to provide useful information about liquidity and long-term solvency.
From balance sheet information, liquidity financial ratios can be made, like current ratio (current assets / current liabiliies), or the acid test (Current assets - inventory / current liabilities).
Liquidity refers to an assessment of whether a company will be able to pay all its liabilities.
Liquidity can be defined as the amount of liquid assets that a company has. Liquid assets are those that can be easily sold and bought in the market without a loss of value. Cash, and cash equivalents are the most important liquid accounts. If a firm has a lot of cash, it is likely to have enough liquidity to pay off its debts in the future.
The other two statements are wrong.
After 1989, Donna purchased series EE savings bonds for $2,500 at the age of 25. This year she redeemed the bonds for $5,000 and paid qualified higher education expenses for her daughter in the amount of $3,000. How much interest will Donna be required to include in her gross income this year
Answer:
$1,000
Explanation:
Donna purchased series of savings bond for $2,500 at the age of 25
This year Donna redeemed the bond of $5,000
She paid $3,000 as expenses for her daughter education
The first step is the calculate the interest income
= $3,000/$5,000 × $2,500
= 0.6 × $2500
= $1,500
Therefore the interest that will be required by Donna to include in her gross income this year can be calculated as follows
= $2,500-$1,500
= $1,000
Hence Donna is required to include an interest of $1,000 in her gross income this year
Manufacturer A has a profit margin of 2.0%, an asset turnover of 1.7 and a liabilities-to-assets ratio of 0.8. Manufacturer B has a profit margin of 2.3%, an asset turnover of 1.1 and an equity multiplier of 4.7. How much asset turnover should manufacturer B have to match manufacturer A's ROE
Answer:
1.54
Explanation:
The computation of the asset turnover for manufacturer B to match with the manufacturer A is shown below:
As we know that
Return on equity = profit margin × asset turnover × gearing
2 × 1.7 × 4.9 = 2.3 × Asset tunover × 4.7
After solving this, the asset turnover is 1.54 times
So it should be 1.54 for matching
Also, we assume that there is an equity multiplier for manufacturer A of 4.9 instead of liabilities-to-assets ratio so we considered the same in the above computation part
Develop a sample budget for someone aged 55-65, considering the adjusted income and expenses in this life phase.
Explanation:
55 to 65-Year-Old’s Budget
Particular Per month
Housing $554
Food $245
Healthcare $500
Pensions $350
Entertainment $118
Transportation $247
Cash $155
Other $94
You are 20 years old and have completed your BBA and want to pursue further education but you don’t want to make money from your father. Your plan is to start working and earn enough money so that you can finance your degree on your own and get yourself enrolled in five years’ time. You estimate that the annual cost of doing an MBA 5 years from today will be PKR 400,000 and the program will be two years long. You will need the money at the beginning of your program so that you are not worried about how to clear your dues during your studies. Luckily you go for a job interview and they hire you and you start working at a salary of PKR 25,000. So you decide that 50% you will deposit in a saving account at a 10% rate with monthly compounding for your further studies and the remaining amount you will use for your daily expenses. 1. Will you be able to meet your goal at this current saving rate? 2. What percentage of your salary should you save if you want to have exactly your university expenses amount? 3. How would your answer to part 1 change if the saving account rate changed to 5%? Comment on your answer. 4. If you are given an option to invest at the 10% saving rate with monthly compounding or 10.5% semiannual compounding, which would you chose? Explain your answer.
Answer:
1. Yes, you will be able to meet your goal at this current saving rate since the Future value of the monthly savings after 5 years of PKR 967,963.40 is greater than Total MBA cost for 2 years of PKR 800,000.
2. Percentage of monthly salary to save = 41%.
3. You will still be able to meet your goal at the saving rate of 5% since the Future value of the monthly savings after 5 years of PKR 850,076.04 is greater than Total MBA cost for 2 years of PKR 800,000. Although, the Future value of the monthly savings after 5 years of PKR 967,963.40 at 10% is higher than the Future value of the monthly savings after 5 years of PKR 850,076.04 at 5% saving rate.
4. I would choose the saving rate of 10% monthly compounding. The reason is that the Future value of the monthly savings after 5 years at 10% semiannual compounding saving rate of PKR 967,963.40 is greater than the Future value of the semiannual savings after 5 years at 10.5% saving rate semiannual compounding of PKR 954,422.88 by an amount of PKR 13,540.52 (i.e. PKR 967,963.40 - PKR 954,422.88 = PKR 13,540.52).
Explanation:
Monthly salary = PKR 25,000
Monthly savings = PKR 25,000 * 50% = PKR 12,500
Annual MBA cost = PKR 400,000
Total MBA cost for 2 years = PKR 400,000 * 2 = PKR 800,000
1. Will you be able to meet your goal at this current saving rate?
To determine this, the formula for calculating the Future Value (FV) of an Ordinary Annuity is used as follows:
FV = M * {[(1 + r)^n - 1] / r} ................................. (1)
Where,
FV = Future value of the monthly savings after 5 years =?
M = Monthly savings = PKR 12,500
r = Monthly interest rate = 10% / 12 = 0.10 /12 = 0.00833333333333333
n = number of months the savings will be made = 5 year * 12 months = 60
Substituting the values into equation (1), we have:
FV = 12,500 * (((1 + 0.00833333333333333)^60 - 1) / 0.00833333333333333)
FV = 12,500 * 77.4370721734302
FV = PKR 967,963.40
Yes, you will be able to meet your goal at this current saving rate since the Future value of the monthly savings after 5 years of PKR 967,963.40 is greater than Total MBA cost for 2 years of PKR 800,000.
2. What percentage of your salary should you save if you want to have exactly your university expenses amount?
To determine this, we still make use of equation (1) in part (1) above by changing Future value of the monthly savings after 5 years (FV) to PKR 800,000 while other values remains the same and solve for Monthly savings (M) after substituting the values into equation (1) follows:
800,000 = M * (((1 + 0.00833333333333333)^60 - 1) / 0.00833333333333333)
800,000 = M * 77.4370721734302
M = 800,000 / 77.4370721734302
M = PKR 10,330.97
Percentage of salary to save = M / Monthly salary = PKR 10,330.97 / PKR 25,000 = 0.41323876409392, or 41%
3. How would your answer to part 1 change if the saving account rate changed to 5%? Comment on your answer.
We use equation (1) is part 1, retain all the other values except r which is obtained as follows:
r = Monthly interest rate = 5% / 12 = 0.05 / 12 = 0.00416666666666667
Substituting the values into equation (1), we have:
FV = 12,500 * (((1 + 0.00416666666666667)^60 - 1) / 0.00416666666666667)
FV = 12,500 * 68.0060828408433
FV = PKR 850,076.04
You will still be able to meet your goal at the saving rate of 5% since the Future value of the monthly savings after 5 years of PKR 850,076.04 is greater than Total MBA cost for 2 years of PKR 800,000. Although, the Future value of the monthly savings after 5 years of PKR 967,963.40 at 10% is higher than the Future value of the monthly savings after 5 years of PKR 850,076.04 at 5% saving rate.
4. If you are given an option to invest at the 10% saving rate with monthly compounding or 10.5% semiannual compounding, which would you chose? Explain your answer.
From part 1 above, the Future value of the monthly savings after 5 years at 10% saving rate monthly compounding is PKR 967,963.40.
To obtain the Future value of the monthly savings after 5 years at 10.5% semiannual compounding saving rate, we use equation (1) with changes in definitions to semiannual where:
FV = Future value of the semiannual savings after 5 years =?
M = Semiannual total savings = Monthly saving * 6 months = PKR 12,500 * 6 = PKR 75,000
r = Semiannual interest rate = 10.5% / 2 = 0.105 / 2 = 0.0525
n = number of semiannual the savings will be made = 5 year * 2 semiannuals = 10 semiannuals
Substituting the values into equation (1), we have:
FV = 75,000 * (((1 + 0.0525)^10 - 1) / 0.0525)
FV = 75,000 * 12.7256383972991
FV = PKR 954,422.88
Therefore, I would choose the saving rate of 10% monthly compounding.
The reason is that the Future value of the monthly savings after 5 years at 10% semiannual compounding saving rate of PKR 967,963.40 is greater than the Future value of the semiannual savings after 5 years at 10.5% saving rate semiannual compounding of PKR 954,422.88 by an amount of PKR 13,540.52 (i.e. PKR 967,963.40 - PKR 954,422.88 = PKR 13,540.52).