Answer:
14518.41
Explanation:
We would determine the future value of the sisters investment and use it to determine the amount to be deposited by the other sister
The formula for calculating future value:
FV = P (1 + r) n
FV = Future value
P = Present value
R = interest rate
N = number of years
13500 (1.104)^10 = $36,309.85
$36,309.85 = a(1.096)^10
a = $36,309.85 / 2.500953
a = $14518.41
Suppose you win on a scratch‑off lottery ticket and you decide to put all of your $2,500 winnings in the bank. The reserve requirement is 5% . What is the maximum possible increase in the money supply as a result of your bank deposit?
Answer: $50,000
Explanation:
Reserve Requirement = 5% = 0.05
Change in reserves = $2500
The change in deposits is denoted as
= (1/rr) × change in reserves
where,
rr = reserve requirements
Change in deposits will now be:
= (1/rr) × change in reserves
= 1/0.05 × 2500
= 20 × 2500
= $50,000
Therefore, the maximum possible increase in the money supply as a result of your bank deposit will be $50,000.
Suppose at December 31 of a recent year, the following information (in thousands) was available for sunglasses manufacturer Oakley Inc.: ending inventory $170,000; beginning inventory $125,000; cost of goods sold $351,050 and sales revenue $761,000.
a. Calculate the inventory turnover for Oakley, Inc.
b. Calculate the days in inventory for Oakley, Inc.
Answer and Explanation:
The computation is shown below:
a. The inventory turnover is
= Cost of Goods Sold ÷ Average Inventory
= $351,050 ÷ ($170,000 + $125,000) ÷ 2
= $351,050 ÷ $147,500
= 2.38 times
b. Now days in inventory is
= 365 ÷ inventory turnover ratio
= 365 ÷ 2.38 times
= 153.36 days
A company purchased a new delivery van at a cost of $58,000 on January 1. The delivery van is estimated to have a useful life of 4 years and a salvage value of $4,600. The company uses the straight-line method of depreciation. How much depreciation expense will be recorded for the van during the first year ended December 31
Answer:
Annual depreciation= $13,350
Explanation:
Giving the following information:
Purchase price= $58,000
Useful life= 4 years
Salvage value= $4,600
To calculate the annual depreciation using the straight-line method, we need to use the following formula:
Annual depreciation= (original cost - salvage value)/estimated life (years)
Annual depreciation= (58,000 - 4,600) / 4
Annual depreciation= $13,350
how does unsafe food harm us
Answer:
Unsafe food creates a vicious cycle of disease and malnutrition, particularly affecting infants, young children, elderly and the sick. Foodborne diseases impede socioeconomic development by straining health care systems, and harming national economies, tourism and trade.
In 2019 a 90% owned subsidiary had $60,000 of unrealized gains on intercompany sales to its parent. In 2020 the subsidiary sold $200,000 of goods to its parent and had $30,000 of unrealized gains. In 2020 parent reports Cost of Goods Sold of $4,000,000 and sub reports Cost of Goods Sold of $1,000,000. How much is Consolidated Cost of Goods Sold
Answer:
Consolidated Cost of Goods Sold is $4,970,000.
Explanation:
A 90% owned subsidiary presents a controlling interest and consolidated financial statements must be prepared by the Parent company.
In preparing consolidated financial statements, any transactions between the parent and subsidiary (Intragroup transactions) must be eliminated.
At Beginning of the year
Recognize the unrealized gains on intercompany sales as follows ;
Debit : Retained Earnings $60,000
Credit : Cost of Sales $60,000
During the year 2020
Eliminate unrealized gains on intercompany sales as follows
Debit : Cost of Sales $30,000
Credit : Inventory $30,000
Consolidated Cost of Goods Sold
To determine the Cost of Goods Sold add 100 % of Parent and 100% of Subsidiary and also remember to effect the journals above as follows :
Cost of Goods Sold = $4,000,000 + $1,000,000 - $60,000 + $30,000
= $4,970,000
Conclusion
Therefore, Consolidated Cost of Goods Sold is $4,970,000.
a. In the absence of money, trade would require money illusion. a double coincidence of wants. a store of value. a unit of account. b. In what ways does money make trade easier? Money eliminates the possibility of recessions caused by demand shortfalls. Money provides a measuring stick with which to express relative values of goods and services, simplifying comparisons. Money enables you to specialize in tasks you're good at, knowing you can earn the money needed to buy the products of other individuals, skilled in different tasks. Money eliminates the need to find trading partners who happen to possess what you want and want what you possess.
Answer:
a double coincidence of wants
Money provides a measuring stick with which to express relative values of goods and services, simplifying comparisons.
Money eliminates the need to find trading partners who happen to possess what you want and want what you possess.
Money enables you to specialize in tasks you're good at, knowing you can earn the money needed to buy the products of other individuals, skilled in different tasks
Explanation:
Functions of money
1. Medium of exchange : money can be used to exchange for goods and services. For example, money serves as a medium of exchange when you pay $20 for your favourite jeans.
Without money, you would have to find someone that has jeans and wants to sell it and also wants what you have. This is known as double coincidence of wants
2. Unit of account : money can be used to value goods and services, For example, $20 is the value of your favourite jeans
3. Store of value : money can retain its value over the long term, this it can be used as a store of value
If a monopolist could perfectly price-discriminate: (LO1, LO4) a. The marginal revenue curve and the demand curve would coincide. b. The marginal revenue curve and the marginal cost curve would coincide. c. Every consumer would pay a different price. d. Marginal revenue would become negative at some output level. e. The resulting pattern of exchange would still be socially inefficient.
Answer:
a. The marginal revenue curve and the demand curve would coincide.
Explanation:
Monopolistic competition can be defined as the market structure which comprises of elements of competitive markets (having many competitors) and monopoly. Under monopolistic competition, organizations
If a monopolist could perfectly price-discriminate (LO1, LO4), the marginal revenue curve and the demand curve would coincide.
Marquis Company estimates that annual manufacturing overhead costs will be $900,000. Estimated annual operating activity bases are direct labor cost $500,000, direct labor hours 50,000, and machine hours 100,000.Compute the predetermined overhead rate for each activity base. (Round answers to 2 decimal places, e.g. 10.50% or 10.50.)Overhead rate per direct labor cost _____ %Overhead rate per direct labor hour $ _____Overhead rate per machine hours $ _____
Answer:
$18.00
Explanation:
Overhead rate = Estimated Overheads ÷ Estimated Activity
= $900,000 ÷ 50,000
= $18.00
Therefore,
Overhead rate per direct labor hour is $18.00
Brief Exercise 17-09 Hinck Corporation reported net cash provided by operating activities of $361,200, net cash used by investing activities of $148,900 (including cash spent for capital assets of $203,600), and net cash provided by financing activities of $79,700. Dividends of $128,000 were paid. Calculate free cash flow. (Enter negative amount using either a negative sign preceding the number e.g. -45 or parentheses e.g. (45).) Free cash flow $
Answer:
Hiiiii
Explanation:
Hi
Boehm Incorporated is expected to pay a $1.10 per share dividend at the end of this year (i.e., D1 = $1.10). The dividend is expected to grow at a constant rate of 4% a year. The required rate of return on the stock, rs, is 15%. What is the estimated value per share of Boehm's stock? Do not round intermediate calculations. Round your answer to the nearest cent. $
Answer:
$10
Explanation:
The dividend is $1.10
The constant rate is 4%
The required rate of return in the stock is 15%
Therefore the estimated value per share can be calculated as follows
= 1.10(0.15-0.04)
= 1.10/(0.11)
= $10
Hence the estimated valuee is $10
A restaurant chain hires two new restaurant managers. One manager is a woman, and one is a man. Both candidates are equally qualified for their positions. The restaurant chain owner wanted to save money and so he offered the job to the woman at a salary $10,000 lower than what he offered the man. This is a violation of The Equal Pay Act of 1963. Which entity, of notified, would enforce the Equal Pay Act of 1963 on behalf of these employees
Answer:
Equal Employment Opportunity Commission
Explanation:
The entity that would be involved in this case is the the EEOC. That is the equal employment opportunity commission. The violation that has occurred here is that both the man and the woman are equally qualified for this job but the owner wants to pay the woman a smaller salary compared to what he wants to pay the man. The EEOC handles such matters of discrimination to employees and workers based on gender, race, religion etc.
Quick answer needed!
Criminal Law means..
A. Power of a court to decide a case
B. Group of laws defining and setting punishments for offenses against society
C. Law dictated from above
There are two closing entries. The first one is to close ____ and ____ to ______; second, close ____ to ____. a. expenses, assets, retained earnings, capital stock, dividends b. revenues, expenses, retained earnings; dividends, retained earnings c. dividends, retained earnings, expenses; revenues, retained earnings d. retained earnings, dividends, revenue; assets, liabilities
Answer: B. revenues, expenses, retained earnings; dividends, retained earnings
Explanation:
Closing entries simply refers to the journal entries that are made by an economic entity at the end of a particular accounting period which is then moved from the temporary accounts with regards to the income statement to the permanent accounts which are on the balance sheet.
There are two closing entries which includes closing revenues, and expenses, to retained earnings and secondly, close the dividends, to the retained earnings .
At the end of the current year, Accounts Receivable has a balance of $950,000; Allowance for Doubtful Accounts has a credit balance of $8,500; and sales for the year total $4,280,000. Using the aging method, the balance of Allowance for Doubtful Accounts is estimated as $40,000. a. Determine the amount of the adjusting entry for uncollectible accounts. $fill in the blank 1 b. Determine the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expense. Accounts Receivable $fill in the blank 2 Allowance for Doubtful Accounts $fill in the blank 3 Bad Debt Expense $fill in the blank 4 c. Determine the net realizable value of accounts receivable. $fill in the blank 5
Answer:
a. Adjusting entry for Uncollectible accounts = Allowance for Doubtful Accounts - Credit balance on Allowance for doubtful accounts
= 40,000 - 8,500
= $31,500
b. Accounts Receivable = $950,000
Allowance for Doubtful Accounts = $40,000
Bad Debt Expense = This is the adjusting entry for Uncollectible accounts = $31,500
c. Net realizable value of accounts receivable = Accounts receivables - Bad debt
= 950,000 - 31,500
= $918,500
Where there is asymmetric information between buyers and sellers, Multiple Choice product shortages will occur at the equilibrium price. product surpluses will occur at the equilibrium price. markets can produce inefficient outcomes. markets will fail due to the over-allocation of resources.
Answer:
markets can produce inefficient outcomes.
Explanation:
Asymmetric information is when one party to a transaction has more information than the other party. It could be the buyer or seller that has more information
For example, if a person wants to purchase health insurance, he might not disclose the full information about his health status to the insurer. This might lead to underestimation of costs.
Also, a seller might not reveal to the buyer than the item about to be purchased is faulty.
Asymmetric information leads to inefficient outcome inn the market
The following information relates to Bonita Co. for the year ended December 31, 2017: net income 1,298 million; unrealized holding loss of $11.3 million related to available-for-sale debt securities during the year; accumulated other comprehensive income of $51.9 million on December 31, 2016. Assuming no other changes in accumulated other comprehensive income.
Determine (a) other comprehensive income for 2017, (b) comprehensive income for 2017, and (c) accumulated other comprehensive income at December 31, 2017. (Enter answers in millions to 1 decimal place, e.g. 25.5. Enter loss using either a negative sign preceding the number e.g. -45.2 or parentheses e.g. (45.2).)
(a) Other comprehensive income(loss) for 2017 $ million
(b) Comprehensive income for 2017 $ million
(c) Accumulated other comprehensive income $ million
Answer:
a. The company incurred a loss of $11.3 million as an unrealized income from available-for-sale debt securities. It is the actual loss. Therefore, other comprehensive income is -($11.3) million.
b. Comprehensive income = Net income - Unrealized holding loss
Comprehensive income = $1,298 million - $11.3 million
Comprehensive income = $1,286.7 million
c. Accumulated comprehensive income = Existing income - Unrealized holding loss
Accumulated comprehensive income = $51.9 million - $11.3 million
Accumulated comprehensive income = $40.6 million
In 2019, Cart Inc. adopted a plan to accumulate funds for environmental remediation beginning July 1, 2024 at an estimated cost of $20 million. Cart plans to make five equal annual payments into a fund earning 6% interest compounded annually. The first deposit is scheduled for July 1, 2019. Determine the amount of the required annual deposit.
Answer: $3,527,337
Explanation:
Future value (FV) = $20 million
Interest rate (i) = 6% = 6/100 = 0.06
Time period (n) = 5 years
Then, the amount of the required annual deposit is calculated below:
Future value of the annuity (FV) = A × [(1+i)^n -1] × (1/i)
We then slot in the values and this will be:
20 million = A (1+6%)^5 - 1] × (1/6%)
20 million = A [(1+0.06)^5 - 1] × (1/0.06)
20 million = A [(1.06)^5 - 1] × (1/0.06)
20 million = A [1.34 - 1] × (1/0.06)
20 million = A [0.34] × (1/0.06)
20 million = A [0.34/0.06)
20 million = A × 5.67
A = 20 million / 5.67
A = 3527337.3
Therefore, required annual deposit = $3,527,337
The amount that is required to be paid as annual deposit is $3,344,481 as the first deposit is scheduled to be made on July 1, 2019.
What is the Future Value of annuity?Future annuity value is the group of repeated payments for a specific future date, deducted a certain refund rate, or a discount rate. The higher the discount rate, the greater the annuity amount.
The formula for calculation for future annuity value:
[tex]FV(due) = A[\dfrac{(1+r)^{n} - 1} {r}](1 + r)[/tex]
We can use the future value of annuity formula to calculate the amount of the required annual deposit:
[tex]\rm\,Future\,value= \$ 20,000,000\\\\Interest\,rate\,(i) = 6\% = 0.06\\\\Time\,period = n = 5\,years\\\\FV(due) = A[\dfrac{(1+r)^{n}- 1} {r}](1 + r)\\\\= 20,000,000 = A[\dfrac{(1+0.06)^{5} - 1 } {0.06}](1 + 0.06)\\\\= 20,000,000 = A\times 5.98\\\\=\$\,3,344,481[/tex]
Hence, the amount of the annual deposit is equal to $3,344,481.
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this is my Halloween costume
Answer:
Crankyyyy um. lolipop
Explanation:
u Look
The ledger of Pina Colada Corp. on March 31, 2022, includes the following selected accounts before adjusting entries.
Debit Credit
Prepaid Insurance $2,544
Supplies 2,650
Equipment 31,800
Unearned Service Revenue $9,540
Notes Payable 21,000
Unearned Rent Revenue 9,900
Rent Revenue 61,000
Interest Expense 0
Salaries and Wages Expense 11,000
An analysis of the accounts shows the following.
1. Insurance expires at the rate of $318 per month.
2. Supplies on hand total $1,166.
3. The equipment depreciates at $530 per month.
4. During March, services were performed for two-fifths of the unearned service revenue.
Required:
Prepare the adjusting entries at March 31, assuming that adjusting entries are made quarterly.
Answer:
Adjusting entries
S/n Account Titles Debit Credit
1 Depreciation Expense $1590
($530*3 = $954)
Accumulated depreciation $1590
2 Unearned rent revenue $3,960
($9,900*2/5)
Rent revenue $3,960
4 Supplies Expense $1,484
($2,650 - $1,166)
Supplies $1,484
5 Insurance Expense $954
($318*3)
Insurance Prepaid $954
a crawling peg is a system where the exchange rate is constantly devalued true or false
Answer:
False
Explanation:
A crawling peg is a system of exchange rate adjustments in which a currency with a fixed exchange rate is allowed to fluctuate within a band of rates.
During the current month, a company that uses job order costing purchases $52,000 in raw materials for cash. It then uses $22,000 of raw materials indirectly as factory supplies and uses $20,100 of raw materials as direct materials. Prepare journal entries to record these three transactions
Answer:
Account Title Debit Credit
Raw materials inventory $52,000
Cash $52,000
Account Title Debit Credit
Factory Supplies $22,000
Raw materials $22,000
Account Title Debit Credit
Work in Process inventory $20,100
Raw materials $20,100
HELLPPPPPPPPPPP PLEAEE!!!!!!!!!
Answer:
C. They ensure job candidates have been recruited from a wide variety of minority channels.
Explanation:
Equal employment opportunity (EEO) refers basically to recruiting job applicants that come from all the different possible backgrounds. The whole idea is that a potential job applicant will not be discriminated because he/she is part of a protected minority group.
In other words, every candidate should be evaluated based on their skills and not on who they are.
Marketers for a chain of office supply stores notice that sales of notebooks,
pens, and other supplies used by students jump every August as families
prepare for school. How should this observation affect the schedule of ads
for these products?
A. They should expose audiences to three ads for these products in
August
B. They should advertise these products more heavily in August.
C. They should not let the temporary spike in sales affect their
planning.
D. They should not bother advertising these products in August.
Marketers for a chain of office supply stores notice that sales of notebooks, pens, and other supplies used by They should advertise these products more heavily in August Option(b) is correct.
What does Advertisement means?The meaning of Advertising is an industry used to call the consideration of general society to something, regularly an item or administration.
The meaning of notice is the method for correspondence wherein an item, brand or administration is elevated to a viewership to draw in interest, commitment, and deals.
Commercials (frequently abbreviated to promotions or adverts) come in many structures, from duplicate to intuitive video, and have developed to turn into a significant component of the application commercial center.
Commercials are a reliable strategy for contacting a group of people. By making a connecting promotion, and spending to the point of arriving at your objective clients, ads can quickly affect business.
Therefore Option(b) is correct.
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#SPJ5
Answer:
Explanation:
just took the test!
Janelle is into running. As soon as she gets home from work at the hospital, she changes into her running clothes, puts on her high-quality running shoes, and goes outside to run. When her schedule permits it, Janelle participates in 5K runs to raise money for children's charities. She has met many friends who are also involved in running. The running groups that Janelle is involved with are examples of _______. a. income segmentation b. benefit segmentation c. geodemographic segmentation d. lifestyle segmentation
Answer:
d. lifestyle segmentation
Explanation:
Segmentation is the way in which various criteria is used to seperate the target market of a set of products.
In the given instance Janelle is involved in a lifestyle segment that is categorised on the basis of similar lifestyle.
She likes to run. This is a type of lifestyle, so the groups that she is involved with that also like running are an example of a lifestyle segmentation
Comfy Fit Company manufactures two types of university sweatshirts, the Swoop and the Rufus, with unit contribution margins of $5 and $15, respectively. Regardless of type, each sweatshirt must be fed through a stitching machine to affix the appropriate university logo. The firm leases seven machines that each provides 1,000 hours of machine time per year. Each Swoop sweatshirt requires 6 minutes of machine time, and each Rufus sweatshirt requires 30 minutes of machine time.
Assume that a maximum of 40,000 units of each sweatshirt can be sold.
Required:
a. What is the contribution margin per hour of machine time for the Swoop sweatshirts?
b. What is the contribution margin per hour of machine time for the Rufus sweatshirts?
c. What is the optimal mix of sweatshirts?
d. What is the total contribution margin earned for the optimal mix?
Answer:
Comfy Fit Company
a. The contribution margin per hour of machine time for the Swoop is:
= $50.
b. The contribution margin per hour of machine time for the Rufus sweatshirts is:
= $30.
c. The optimal mix of sweatshirts that maximizes profitability is 40,000 Swoop sweatshirts and 6,000 Rufus sweatshirts.
d. The total contribution margin earned for the optimal mix is:
= $2,180,000.
Explanation:
a) Data and Calculations:
Machine hours available = 7,000 hours (1,000 * 7)
Swoop Rufus
Contribution margins $5 $15
Time required per unit 6 min 30 min
Time required per unit in hours 0.10 hr 0.5 hrs
Contribution per hour $50 $30
Optimal product mix is to produce all of Swoop's 40,000 units first and then to use the remaining machine hours (3,000) to produce Rufus sweatshirts.
This will take 4,000 hours (40,000 * 0.10)
This leaves 3,000 hours for Rufus (7,000 - 4,000)
This means that only 6,000 (3,000/0.5) of Rufus can be produced
The total contribution margin for the optimal mix:
= ($50 * 40,000) + ($30 * 6,000)
= $2,000,000 + 180,000
= $2,180,000
The Green Grape Company's Office Supplies account had a beginning balance of $12,000. During the month, purchases of office supplies totaling $8,000 were added to (increased) the Office Supplies account. If $5,000 worth of office supplies is still on hand at month-end, what is the proper adjustment?
Answer:
Dr Office supplies expense $15,000
Cr Office supplies $15,000
Explanation:
Given the above information, we can compute the proper adjusting entry as;
= ( Transfer $12,000 + $8,000 - $5,000)
= $15,000 from office supplies expense
Therefore, the proper adjusting entry is;
Dr Office supplies expense $15,000
Cr Office supply $15,000
Your firm’s biggest client is coming to town today. You have been assigned the important task of showing him the town and being his host while he is here. You have done your research on him. His biography, posted on the Internet, portrays him as a philanthropist and family man. On his first night in town, he asks you to find female entertainment for him. You ask your boss what this means. Your boss says, "It means what you think it means. Keep him happy. He’s really important to the firm . . . and to your year-end bonus." You feel conflicted about your next steps.
Required:
What best describes this situation?
Answer:
Ethical dilemma
Explanation:
This scenario causes a situation of ethical dilemma or also known as ethical paradoxes or moral dilemma. In ethical dilemma both the available choices are wrong and are conflicting with each other the decision between right and wrong is ethics, but when such a situation arises the decision is to be taken by the person facing this ethical dilemma and his/her actions solely depends on the moral choices of the person and his/her views about ethics.
Arnold Vimka is a venture capitalist facing two alternative investment opportunities. He intends to invest $1 million in a start-up firm. He is nervous, however, about future economic volatility. He asks you to analyze the following financial data for the past year’s operations of the two firms he is considering and give him some business advice.Company Name
Larson Benson
Variable cost per unit (a) $ 18.00 $ 9.00
Sales revenue (8,100 units × $31.00) $ 251,100 $ 251,100
Variable cost (8,100 units × a) (145,800 ) (72,900 )
Contribution margin $ 105,300 $ 178,200
Fixed cost (25,000 ) (97,900 )
Net income $ 80,300 $ 80,300
Required:
1. Use the contribution margin approach to compute the operating leverage for each firm.
2. If the economy expands in coming years, Larson and Benson will both enjoy a 11 percent per year increase in sales, assuming that the selling price remains unchanged. Compute the change in net income for each firm in dollar amount and in percentage. (Note: Since the number of units increases, both revenue and variable cost will increase.)
3. If the economy contracts in coming years, Larson and Benson will both suffer a 11 percent decrease in sales volume, assuming that the selling price remains unchanged. Compute the change in net income for each firm in dollar amount and in percentage. (Note: Since the number of units decreases, both total revenue and total variable cost will decrease.)
Answer:
Arnold Vimka
1. Operating leverage, using the contribution margin approach:
Larson Benson
Operating leverage 1.31 2.22
2. Change in net income for each firm in dollar amount and in percentage, following 11% increase in the units sold:
Larson Benson
Variable cost per unit (a) $ 18.00 $ 9.00
Sales revenue (8,991 units × $31.00) $278,721 $ 251,100
Variable cost (8,991 units × a) (161,838 ) (80,919 )
Contribution margin $ 116,883 $ 170,181
Fixed cost (25,000 ) (97,900 )
Net income $ 91,883 $ 72,281
Net income $ 80,300 $ 80,300
Change in net income ($) $11,583 ($8,019)
Change in net income (%) + 14.42% -9.99%
3. Change in net income for each firm in dollar amount and in percentage, following 11% decrease in the units sold:
Larson Benson
Variable cost per unit (a) $ 18.00 $ 9.00
Sales revenue (7,209 units × $31.00) $ 223,479 $ 223,479
Variable cost (7,209 units × a) (129,762 ) (64,881 )
Contribution margin $ 93,717 $ 158,598
Fixed cost (25,000 ) (97,900 )
Net income $ 68,717 $ 60,698
Net income $ 80,300 $ 80,300
Change in net income($) -$11,583 ($19,602)
Change in net income (%) -14.42% -24.4%
Explanation:
a) Data and Calculations:
Larson Benson
Variable cost per unit (a) $ 18.00 $ 9.00
Sales revenue (8,100 units × $31.00) $ 251,100 $ 251,100
Variable cost (8,100 units × a) (145,800 ) (72,900 )
Contribution margin $ 105,300 $ 178,200
Fixed cost (25,000 ) (97,900 )
Net income $ 80,300 $ 80,300
Contribution margin approach to computing the operating leverage:
= Contribution margin/net operating income
Larson Benson
Contribution margin $ 105,300 $ 178,200
Net operating income $ 80,300 $ 80,300
Operating leverage 1.31 2.22
Use the compounding or discounting formula to answer the questions. Round answers to the nearest dollar. a. Your small business has a cash reserve of $200,000, earning 2% annual interest. How much will your cash reserve be worth in 3 years? $ b. You want $1 million in your retirement account in 50 years. If your account grows at an annual rate of 4%, how much do you have to deposit today to reach $1 million in 50 years?
Answer:
a.
Future value - Cash Reserve = $212241.6
b.
Present value of deposit = $140712.615333 rounded off to $140712.62
Explanation:
a.
To calculate the value of cash reserve in 3 years, we will calculate the future value of the cash flow using the following formula,
Future value = Present value * (1 + r)^t
Where,
r is the rate of interest or returnt is the number of periodsFuture value - Cash Reserve = 200000 * (1+2%)^3
Future value - Cash Reserve = $212241.6
b.
To calculate the amount of deposit today, we need to calculate the present value of $1 million which are after 50 years from today. The formula to calculate the present value is as follows,
Present Value = Future value / (1 + r)^t
Where,
r is the interest rate or rate of return or discount ratet is the number of periodsPresent value = 1000000 / (1+4%)^50
Present value = $140712.615333 rounded off to $140712.62
North Bank has been borrowing in the U.S. markets and lending abroad, thereby incurring foreign exchange risk. In a recent transaction, it issued a one-year $1.40 million CD at 5 percent and is planning to fund a loan in British pounds at 9 percent for a 4 percent expected spread. The spot rate of U.S. dollars for British pounds is $1.454/£1. a. However, new information now indicates that the British pound will appreciate such that the spot rate of U.S. dollars for British pounds is $1.43/£1 by year-end. Calculate the loan rate to maintain the 4 percent spread. b. The bank has an opportunity to hedge using one-year forward contracts at 1.46 U.S. dollars for British pounds. Calculate the net interest margin if the bank hedges its forward foreign exchange exposure. c. Calculate the loan rate to maintain the 4 percent spread if the bank intends to hedge its exposure using the forward rates.
Answer:
A) 10.82%
B) 5.27%
C) 8.56%
Explanation:
Given data :
North Bank Borrow ; $1.4 million at 5 percent
Lend in pounds at 9%
spread = ( 4% )
spot rate = 1.454
A) Determine the loan rate to maintain the 4 percent spread
Expected spot rate = 1.43
First step :
Lending amount = $1.4 million / initial spot rate = 1.4 / 1.454 = £ 0.9628 million
next :
calculate the final amount Required in $ to maintain 4% Spread
= principal ( $1.4 million ) + interest ( 9% of 1.4 ) = 1.4 + 0.126 = $1.526 million
In pound ( at the expected spot rate )
= 1.526 / 1.43 = £1.067 million
expected profit = £1.067 - £0.9628 = £ 0.1042 million
Therefore the interest rate tp maintain the 4 percent spread
= 0.1042 / 0.9628 = 10.82%
B) Determine the net interest margin if the bank hedges its forward foreign exchange exposure
Forward rate = 1.46
assuming interest as value calculated above = ( 10.82% )
lending amount = £0.9628 million
Repayment = 0.9628 * 111% * 1.46 = $1.5603 million
therefore return rate = $1.5603 - $1.4 = $0.1603 million = 10.27%
hence : Net interest margin = 10.27% - 5% = 5.27%
C) Determine the loan rate to maintain the 4 percent spread if the bank intends to hedge its exposure using the forward rates.
Forward Hedging contract forward rate = 1.46
lending amount = $1.4 / 1.454 = £ 0.9628 million
Total Interest and Principal Repayment Required in $ to maintain 4% Spread = $1.526 million
In pound = 1.526 / 1.46 = £ 1.0452
Interest = £1.0452 - £0.9628 = £0.0824 million
therefore interest Rate to maintain 4℅ Spread
= ( 0.0824 / 0.9628 ) * 100 = 8.56%