Answer:
Balance in the account on January 1, 2022 =$820,525.44
Explanation:
Ordinary annuity is that in which the annual cash flow occurs at the end of each year for certain number of years.
Where the cash flow occurs at the beginning of the period, it is known as annuity due. The deposit scheme decided by Crane Company is annuity due, so we would need to work out the future value of an annuity due as follows:
Future Value of Annuity Due (FVAD): This represents the total sum that would accrue where the annual cash flow( each occurring at the beginning of the year) is compounded at a particular rate. It can be determined as
FV = A×( (1+r)^n - 1)/r)× (1+r)
This is the same formula as the ordinary annuity but with an additional provision for the the first cash flow to earn interest. This is effected by multiplying the ordinary annuity formula with (1+r)
Now, we can apply this formula to our question:
DATA
A-cash flow- 64,000
r- discount rate-10%
n-number of years- 5
FV = 64,000 × ( 1.1^5 - 1)/0.05 × 1.05 = 820,525.44
FV = 820,525.44
Balance in the account on January 1, 2022 =820,525.44
You are considering an investment in software company. The beta of software companies is 1.5. The annual risk-free rate is 2% and the annual market premium is 8%. The expected annual profit from the software subscription is $100,000 and it is expected to grow at the rate of 6% per year. What is the maximum price you are willing to pay for the company? A. $1,370,925.78 B. $1,250,000.00 C. $1,123,221.12 D. $908,153.55
Answer:
Maximum price = $ 1,325,000
Explanation:
The maximum price to be paid for the company is the present value of the annual profit discounted at the rate of return on equity.
The return on equity can be calculated using the capital asset pricing model (CAPM)
Under CAPM,
E(r)= Rf + β(Rm-Rf)
E(r)- expected return, Rf-risk-free rate , β= Beta, Rm= Return on market.
Using this model, we can work out the value of beta as follows:
Ke= ?., Rf- 2%, Rm-Rf - 8%
Ke- 2% + 1.5× (8%)= 14 %
Price for the company can now be determined using the present value of the perpetuity formula with growth as follows:
The model is represented below:
P = A ×(1+g)/ ke- g
DATA
A- 100,000
g- 6%
ke- 14%
Price = 100,000× (1.06)/(0.14-0.06)= $ 1,325,000
Maximum price = $ 1,325,000
Which of the following goals of a performance evaluation system is accomplished when the company's actual results are compared to industry standards?
A) Benchmarking
B) Motivating unit managers
C) Promoting goal congruence
D) Providing feedback
Answer:
A) Benchmarking
Explanation:
Benchmarking refers to a process in which the performance of the company could be measured with respect to the product, services, processes as compared with the industry performance
Here in the given situation, when an actual result is compared with the industry standards than we called as a benchmarking and the same is to be used for the evaluation of the performance system
7. Ms. House utilizes a strategy of "Check 1 – 2- 3". Why does she do this? How do you think this was initially taught?
Explanation:
To get her student's attention. Remember, the check 1 2 3 strategy allows teachers to get an inside into the students understanding.
However, in this scenario, Ms. House uses the strategy to lower her student's voices, so as to get their attention. She likely started using this strategy at the start of the school year and kept doing it.
Spruce Ceramics produces large planters to be used in urban landscaping projects. A special earth clay is used to make the planters. The standard quantity of clay used for each planter is 24 pounds. The company uses a standard cost of $2.20 per pound of clay. Spruce produced 3,000 planters in May. In that month, 75,000 pounds of clay were purchased and used at the total cost of $162,000 Read the requirementsLOADING.... Requirement 1. Calculate the direct material price variance. Begin by determining the formula for the price variance, then compute the price variance for the direct materials. (Enter the variance as a positive number. Enter currency amounts in the formula to the nearest cent and then round the final variance amount to the nearest whole dollar. Label the variance as favorable (F) or unfavorable (U). Abbreviations used: DM = Direct materials)
Answer:
1. $3,000 Favorable
2. $6,600 Unfavorable.
Explanation:
This is an incomplete question. However, the completed part is question number 2, which has been solved below.
1. Direct material price variance
= (Actual price - Standard price) Actual quantity
= ($2.16 - $2.20) × 75,000
= -$0.04 × 75,000
= $3,000 Favorable
Note: Actual price is gotten by; $162,000 / 75,000
= $2.16
2. Direct material quantity variance
= (Actual quantity - Standard quantity) × Standard price
= (75,000 - $72,000) × $2.20
= 3,000 × $2.20
= $6,600 Unfavorable
Note: Standard quantity is gotten by;
24 × 3,000
= 72,000
Some 150 million customers a month visit Amazon and the company passes through $160 billion in sales via its global supply channels and partnerships making interorganizational relationships very important to the company. Which interacting organization has a low coordination, low integration, transactional focus
Answer with Explanation:
Amazon is fastest growing company in the world which has crossed 2 billion customer visits. It has also increased the worth of the company to $1.14 trillions. The supply chain management is where the strengths of the company lies and nobody can match the pricing strategy, quality management and other significant factors that are included in the supply chain management to ensure that the customer is having what they are paying for.
Supply chain management process includes the key partners which includes their suppliers, partners, clients and customers as well who play important roles in the supply chain process by coordinating, integrating systems with each other and are involved in the transaction-al process.
The customers are the one who interact fewer than partners, suppliers, clients, etc because all they do is order a particular product. This is the first interaction of the customer with Amazon and the last interaction is when the customer received the order. So this means they are less interacting party in this process.
Suppliers are continuously contacted and informed about the pricing, supply chain issues, etc so that the company is able to deliver its customers what they are desiring. Supply chain partners also in the process of interacting with Amazon as they have to move products from supplier to the customer. These partners are highly interacted, possess integrating systems and of transaction-al importance to the company.
Discount factor is 0.985. Stock XYZ is selling for $40 a share. An American option on this stock with a strike price of $38 is trading at $0.25 per share. If it is known that this option is priced above its intrinsic value, what type of option is it?
Answer:
Put option
Explanation:
We have current price 40dollars - strike price 38dollars = $2. The question says the stock is trading at $0.25 per share. Since 0.25 is higher than 0 it is a put option. And the intrinsic value is $2.
The put option gives one the right to sell a particular number of shares at a price that has been set which is referred to as the strike price before a certain date.
The 2016 annual report for Mega Mills disclosed that 1 billion shares of common stock have been authorized. At the end of 2015, 760 million shares had been issued and the number of shares in treasury stock was 101 million. During 2016, the only common share transactions were that 18 million common shares were reissued from treasury and 24 million common shares were purchased and held as treasury stock.Required: Determine the number of common shares a. Issued b. In treasuryc. Outstanding at the end of 2016.
Answer:
a. 760 million shares
b. 107 million shares
c. 653 million shares
Explanation:
a. The number of Issued stock is unchanged because Issued stock encompasses both outstanding and treasury stock.
b. Treasury Stock = Beginning balance - Reissued from treasury + repurchased for treasury
= 101 - 18 + 24
= 107 million shares
c. Outstanding stock = Issued Stock - Treasury Stock
= 760 - 107
= 653 million shares
As flextime, consulting, telecommuting, and downsizing make it more difficult for
people to donate blood at the workplace, Canadian Blood Services has launched a
CRM marketing campaign in Toronto to boost awareness and repeat donations.
Early in the campaign, it went to its listings of previous donors and pulled out
those with birthdays in February, March, and April. These donors were sent a
birthday card with the greeting, "On the anniversary of your life, would you
consider saving another's life?"
Refer to the scenario.
What technique did the organization use to analyze its donor information?
Answer:
The technique which the organization used in analyzing its donor is called Customer segmentation
Explanation:
Customer segmentation is the process of breaking large groups of customers into smaller, more homogeneous groups. This division are done specifically probably for marketing using attribute such as age, gender, interests and spending habits.
In the case of the CRM marketing campaign in Toronto, they inability to analyze all the data they had poses a challenge hence they reason why they segmented their customers according to their birthday. And customers are reached out according to those whose birthday falls nearby.
Question 59 of 83 Project M requires an initial investment of $25 million. The project is expected to generate $2.25 million in after-tax cash flow each year forever. Calculate the IRR for the project. 10% 9% 8% 7%
Answer:
9%
Explanation:
In order to calculate the internal rate of return (IRR) for a project that yields cash flows perpetually, we need to divide the yearly cash flow by the project's initial outlay:
IRR = $2,250,000 / $25,000,000 = 0.09 = 9%
The IRR represents the discount rate at which the project's net present value (NPV) equals 0.
Eric left high school to work in a factory where he has been for the last 9 years. He married at 19 and has two children. He is unhappy and cynical. He doesn't like working hard to make purchase decisions so he waits until a product is easy to find before he buys.
A. EA
B. EM
C. I
D. L
E. LM
Answer: D. L
Explanation:
Eric is a Laggard. A Laggard is one of the 5 Adopter categories when it comes to new products in the market. These categories define people in terms of when they adopt a product as well as why.
Laggards are the last group to adopt a product. They do not like change and as such will only adopt a product when it is forced on them on when they have no choice because the product is so widespread that everyone is using it. Eric prefers to make a purchase only when it is easy to find. That is when the product has become quite widespread which is during the Laggard adoption stage.
Haver Company currently produces component RX5 for its sole product. The current cost per unit to manufacture the required 55,000 units of RX5 follows. Direct materials $ 5.00 Direct labor 9.00 Overhead 10.00 Total costs per unit 24.00 Direct materials and direct labor are 100% variable. Overhead is 70% fixed. An outside supplier has offered to supply the 55,000 units of RX5 for $20.00 per unit. Required: 1. Calculate the incremental costs of making and buying component RX5.
Answer:
If the company makes the component, $165,000 will be saved.
Explanation:
Giving the following information:
Units production= 55,000 units
Production costs:
Direct materials $5
Direct labor $9
Avoidable Overhead= 3
Direct materials and direct labor are 100% variable.
An outside supplier has offered to supply the 55,000 units of RX5 for $20.00 per unit.
We need to determine the total cost of making in-house and buying.
We will take into account only the variable cost (avoidable cost).
Make in-house:
Total cost= 55,000*(5 + 9 + 3)= $935,000
Buy:
Total cost= 55,000*20= $1,100,000
If the company makes the component, $165,000 will be saved.
rancis Inc.'s stock has a required rate of return of 10.25%, and it sells for $87.50 per share. The dividend is expected to grow at a constant rate of 6.00% per year. What is the expected year-end dividend, D1
Answer:
$3.72
Explanation:
Francis incorporation stock has a required rate of return of 10.25%
The stock is sold at $87.50 per share
The growth rate is 6% per year
Therefore, the expected dividend can be calculated as follows
= Po(rs-g)
= $87.50(10.25%-6%)
= $87.50×4.25
= $3.72
Hence the expected year end dividend is $3.72
Companies whose stock is traded in a public market must report EPS in the notes of their financial statements. must report EPS on their income statement. must report EPS on their balance sheet. are not required to report EPS.
Answer:
The answer is B. must report EPS on their income statement
Explanation:
If a company's share is being traded publicly, its Earnings Per Share (EPS) must be shown on its income statement(Statement of profit or loss and other comprehensive income).
Earnings Per Share (EPS) is calculated as follows:
Earnings (profit after tax) ÷ total number of shares outstanding.
Note: EPS does not recognize/consider discontinue operations.
Portia Grant is an employee who is paid monthly. For the month of January of the current year, she earned a total of 8,588. The FICA tax for social security is 6.2% of the first $118,500 of employee earnings each calendar year and the FICA tax rate for Medicare is 1.45% of all earnings. The FUTA tax rate of 0.6% and the SUTA tax rate of 5.4% are applied to the first $7,000 of an employee's pay. The amount of federal income tax withheld from her earnings was $1,424.97. Her net pay for the month is: (Round your intermediate calculations to two decimal places.)
a) $7,038.50
b) $5,141.03
c) $6,072.04
d) $6,566.00
e) $6,506.04
Answer: e) $6,506.04
Explanation:
Employees do not pay FUTA or SUTA. Employers pay those.
Ms. Grant's net pay for the month therefore is;
= Gross earnings - FICA Social Security - FICA Medicare - Federal Income tax withheld
= 8,588 - (6.2% * 8,588) - ( 1.45% * 8,588) - 1,424.97
= 8,588 - 532.46 - 124.53 - 1,424.97
= $6,506.04
The government wants to set the socially optimal level of nitrogen runoff, and government regulators believe that the actual marginal benefit of pollution (MBP) is given by the estimated MBP curve. The deadweight loss associated with a quota is _____, w
Answer:
Hello your question is incomplete attached below is the complete question
Explanation:
Dead weight loss = 0.5 [( Δp ) * ( ΔD ) ]
D = DEMAND
P = PRICE
DWL with quota = 0.5 [ ( $10 -$6 ) * (12 - 8 ) ]
= 0.5 ( 4*4 ) = $8
DWL with pigouvian tax = 0.5 [ ($10- $6 )*(9 - 8 ) ]
= 0.5 [ 4 * 1 ] = $2
E-tailers, such as Amazon and Expedia, that sell products and services directly to final buyers exclusively over the Internet are known as ________.
Answer:
E-tailers
Explanation:
E-tailers are also known as e-retailers. Where you can purchase things via the internet.
Glad I could help you!
A company incurs $4,050,000 of overhead each year in three departments: Ordering and Receiving, Mixing, and Testing. The company prepares 2,000 purchase orders, works 50,000 mixing hours, and performs 1,500 tests per year in producing 200,000 drums of Goo and 600,000 drums of Slime. The following data are available: Department Expected use of Driver Cost Ordering and Receiving 2,000 $1,200,000 Mixing 50,000 1,500,000 Testing 1,500 1,350,000 Production information for Goo is as follows: Department Expected use of Driver Ordering and Receiving 400 Mixing 20,000 Testing 500 Compute the amount of overhead assigned to Goo. $2,760,000.
Answer:
$1,290,000
Explanation:
Goo:
Ordering and Receiving = 400 / 2,000 = 20%
Mixing = 20,000 / 50,000 = 40%
Testing = 500 / 1,500 = 33.33%
allocated overhead costs:
Ordering and Receiving = 20% x $1,200,000 = $240,000
Mixing = 40% x $1,500,000 = $600,000
Testing = 33.33% x $1,350,000 = $450,000
total allocated overhead costs = $1,290,000
Bronn tells Jaime, "I really like your armor." Jaime responds, "I will sell it to you for $800." Bronn states, "Sure, and throw in your sword too." Jaime then writes out the contract, detailing only that he will sell Bronn his armor and the sword. He also lists the delivery date for next Wednesday. The next week on the day of performance, Jaime fails to deliver the armor and sword. Bronn sues him for breach of contract, but Jaime claims the contract is not enforceable because it was missing the price. When Bronn filed his lawsuit, which of the following needed to be included in the written contract for enforceability?
a. signature of both parties
b. price subject
c. matter
d. delivery
e. performance
Answer:
B. price subject
Explanation:
For this contract to be enforceable, it must include price, matter and delivery date. These aspects are all best essential and should be included in the contract. From the question when Jaime wrote the contract he failed to detail the price they agreed upon. Even though the rest were included. Therefore this contract cannot be enforced since it is missing this important aspect. Option b is the answer to the question
Jensen Corporation uses the percentageofsales method to estimate uncollectibles. Net credit sales for the current year amount to and management estimates % will be uncollectible. The Allowance for Doubtful Accounts prior to adjustment has a debit balance of . After all adjusting entries are made, the balance in Allowance for Uncollectible Accounts will be:
Answer:
$42,300 credit balance
Explanation:
The question is incomplete:
Jensen Corporation uses the percentage-of-sales method to estimate uncollectibles. Net credit sales for the current year amount to $2,010,000 and management estimates 3% will be uncollectible. The Allowance for Doubtful Accounts prior to adjustment has a debit balance of $18,000. After all adjusting entries are made, the balance in Allowance for Uncollectible Accounts will be:
uncollectible accounts = $2,010,000 x 3% = $60,300 credit
the adjusting entry at the end of the year:
December 31, 202x, bad debt expense:
Dr Bad debt 60,300
Cr Allowance for uncollectible accounts 60,300
the ending balance of the Allowance for uncollectible accounts account = $60,300 - $18,000 (debit balance) = $42,300
A consumer plays the role of:
A)a wage earner.
B)a saver.
C)a borrower.
D)All of these choices are correct.
Answer:
c) borrower
Explanation:
A consumer plays the role of a borrower. The consumer is the important role in the economy. Thus, option (c) is correct.
What is consumer?The term “consumer” means purchasing a product or service for the purpose of personal use. The consumer are consumed the product and services. The consumer are buying the product and services with exchange of money.
According to the role of the consumer are the played in the significant role of the economy. The business are the sale of the goods and the services are the borrower are the paid the money to the business. The economy cycle was the continue run.
As a result, the consumer plays the role of a borrower. The consumer is the significant role in the economy. Therefore, option (c) is correct.
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Drew and Tammy decide to start a new cake-decorating business. They each contribute $10,000 to get the business off the ground. This money is considered
Answer: a down payment or deposit
Explanation:
Drew and Tammy decide to start a new cake-decorating business. They each contribute $10,000 to get the business off the ground. This money is considered as equity capital.
What do you mean by Business?The exchange, acquisition, sale, or creation of goods and services with the aim of making money and meeting client demands constitutes business. Businesses can be for-profit or nonprofit entities that work to further a social cause or make a profit, respectively.
Equity in the context of finance refers to ownership of assets with potential obligations such as debts. For accounting reasons, equity is calculated by deducting liabilities from the value of the assets. The difference of $14,000, for instance, is equity if a person owns a car worth $24,000 and owes $10,000 on the loan used to purchase the vehicle.
A single asset, like a car or house, or an entire company may be covered by equity. A company that needs to launch or grow its operations can sell equity to raise money that doesn't need to be repaid on a predetermined timeline.
Therefore, The money will be considered as Equity capital.
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Pizza sells an average of pizzas per week, of which % are single-topping pizzas and % are supreme pizzas with multiple toppings. Singles sell for each and incur variable costs of . Supremes sell for each and incur variable costs of . The contribution margin per unit and total contribution margin for Singles and Supremes are
Answer:
the question is incomplete, so I looked for a similar question:
"Pizza sells an average of 150 pizzas per week, of which 20% are single-topping pizzas and 80% are supreme pizzas with multiple toppings. Singles sell for $8 each and incur variable costs of $2. Supremes sell for $12 each and incur variable costs of $6."
contribution margin for Singles = $8 - $2 = $6
contribution margin ratio for Singles = $6 / $8 = 75%
total contribution margin for Singles = $6 x 150 x 20% = $180
contribution margin for Supremes = $12 - $6 = $6
contribution margin ratio for Supremes = $6 / $12 = 50%
total contribution margin for Supremes = $6 x 150 x 80% = $720
LLP Company had the following stockholders’ equity as ofJanuary 1, 2017.
Common stock, $1 par value, 120,000 shares issued$120,000
Paid-in capital in excess of par—common stock833,000
Retained earnings408,000
Total stockholders’ equity$1,361,000
During 2017, the following transactions occurred.
Feb. 16LLP repurchased 5,000 shares of treasury stock at a price of $15 per share.
Mar. 8200 shares of treasury stock repurchased above were reissued at $16 per share.
Apr. 11800 shares of treasury stock repurchased above were reissued at $12 per share.
May. 82,000 shares of treasury stock repurchased above were reissued at $18 per share
Instructions:
a. Prepare the journal entries to record the treasury stock transactions in 2017, assuming Clemson uses the cost method.
b. Prepare the stockholders’ equity section as of April 30, 2017. Net income for the first 4 months of 2017 was $130,000.
Complete Question:
Clemenson LLP Company had the following stockholders’ equity as of January 1, 2017.
Common stock, $1 par value, 120,000 shares issued$120,000
Paid-in capital in excess of par—common stock 833,000
Retained earnings 408,000
Total stockholders’ equity$1,361,000
During 2017, the following transactions occurred.
Feb. 16: LLP repurchased 5,000 shares of treasury stock at a price of $15 per share.
Mar. 8: 2,000 shares of treasury stock repurchased above were reissued at $16 per share.
Apr. 11: 800 shares of treasury stock repurchased above were reissued at $12 per share.
May. 8: 2,000 shares of treasury stock repurchased above were reissued at $18 per share
Instructions:
a. Prepare the journal entries to record the treasury stock transactions in 2017, assuming Clemson uses the cost method.
b. Prepare the stockholders’ equity section as of April 30, 2017. Net income for the first 4 months of 2017 was $130,000.
Answer:
Clemson LLP Company
a. Journal Entries
Feb. 16:
Debit Treasury Stock account $75,000
Credit Cash Account $75,000
To record the repurchase of 5,000 shares of treasury stock at a price of $15 per share.
March 8:
Debit Cash Account $32,000
Credit Treasury Stock account $32,000
To record the resale of 2,000 shares of treasury stock at $16 per share.
April 11:
Debit Cash Account $9,600
Credit Treasury Stock account $9,600
To record the resale of 800 shares of treasury stock at $12 per share.
May 8:
Debit Cash Account $36,000
Credit Treasury Stock account $36,000
To record the resale of 2,000 shares of treasury stock at $18 per share.
b. Stockholders' Equity Section as of April 30, 2017:
Common stock, $1 par value, 120,000 shares issued $120,000
Treasury Stock, 200 shares 2,600
Paid-in capital in excess of par—common stock 833,000
Retained earnings 538,000
Total stockholders’ equity $1,493,600
Explanation:
a) Data and Calculations:
Stockholders’ equity as of January 1, 2017:
Common stock, $1 par value, 120,000 shares issued $120,000
Paid-in capital in excess of par—common stock 833,000
Retained earnings 408,000
Total stockholders’ equity $1,361,000
b) Retained Earnings:
Jan. 1, 2017 balance $408,000
Net Income $130,000
April 30, 2017 bal. $538,000
c) Since Clemenson accounts for the Treasury Stock transactions using the cost method, it means that all treasury transactions are recorded directly in the Treasury Stock account based on their cost and not the par value. This method of using the cost is one of the two methods for accounting for treasury stock transactions. The other method, which Clemenson can use is the par value method. Under this second method, Clemenson will record the above and below par value differences in the Paid-in Capital in excess of par account instead of the Treasury Stock account. While the treasury stock account is a contra account to the Common Stock account, in Clemenson's case, the Treasury Stock balance is not a debit but a credit balance.
Skysong, Inc. reports the following liabilities (in thousands) on its December 31, 2020, balance sheet and notes to the financial statements. Accounts payable $4,392.0 Mortgage payable $6,845.0 Unearned rent revenue 1,650.0 Notes payable (due in 2023) 351.0 Bonds payable 2,003.0 Salaries and wages payable 651.0 Current portion of mortgage payable 2,228.0 Notes payable (due in 2021) 2,584.0 Prepare the liabilities section of Skysong’s balance sheet as at December 31, 2020.
Answer:
Skysong, Inc.
Liabilities section
Current liabilities:
Accounts payable $4,392Salaries and wages payable $651Unearned rent revenue $1,650Mortgage payable $2,228Notes payable $2,584Total current liabilities $11,505Long term liabilities:
Mortgage payable $4,617 Notes payable (due in 2023) $351Bonds payable $2,003Total long term liabilities $6,971Total liabilities: $18,476
Annabelle owns an Italian ice shop. If she decided to expand the size of her shop so that she could sell more Italian ices, how would she know if she is experiencing economies of scale in the long run
Answer:
her long-run average cost of selling each Italian ice decreases.
Explanation:
Economies of scale is when a firm produces more units of goods or services on a much larger scale, with very little input cost(average cost). Invariably, this implies that the production units of a firm increases as it grows while having a decreased input costs.
A firm will experience economies of scale in the long run if it's average total costs(cost per unit required for production which remains the same irrespective of output) decreases as it increases its scale of production.
Interest rates can be measured more accurately and quickly than reserve aggregates; hence an interest rate is preferred to the reserve aggregates as a policy instrument.
a. True
b. False
Answer:
False
Explanation:
This is false.
In reporting reserves aggregate there are lags interest rate such as the federal interest rate are quite easy to measure and easily observable. Such short term interest rate are nominal values and they do not measure the real cost of borrowing well. It does not show accurately what happens to Gross domestic product. Real interest rate equals nominal interest rate as a ratio of reduced inflation gives a representation of true cost of borrowing.
We cannot say with certainty that interests rate is a better policy instrument based on the ground of measurability.
Assume that your parents wanted to have a 170,000 saved for college by your 18th birthday and they started saving on your first birthday. They saved the same amount each year on your birthday and earned 6.5% per year on their investmenets.Required:a. How much would they have to save each year to reach their goal?b. If they think you will take five years instead of four to graduate to graduate and decide to have $140,000 saved just in case, how much more would they have to save each year to reach their new goal?
Answer:
a. They will have to save $5,245.28 each year to reach their goal of $170,000.
b. They will have to save $925.63 less to reach their new goal of $140,000.
Note: The answer to part b is based on the information in the question. Therefore, the correct answer is "they will have to save $925.63 less" not "save more" as suggested in the question. Kindly confirm this from your teacher.
Explanation:
a. How much would they have to save each year to reach their goal?
Since the saving started on your first birthday to have $170,000 saved, it implies the saving will be on your every birthday for 18 years. Therefore, the relevant formula to use to determine this is the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = M * {[(1 + r)^n - 1] / r} ................................. (1)
Where,
FV = Future value of the amount after your 18th birthday = $170,000
M = Yearly saving to have $170,000 = ?
r = interest rate = 6.5%, 0.065
n = number of years this savings will be made = 18
Substituting the values into equation (1) and solve for M, we have:
$170,000 = M * {[(1 + 0.065)^18 - 1] / 0.065}
$170,000 = M * 32.4100673759666
M = $170,000 / 32.4100673759666
M = $5,245.28
Therefore, they will have to save $5,245.28 each year to reach their goal of $170,000.
b. If they think you will take five years instead of four to graduate to graduate and decide to have $140,000 saved just in case, how much more would they have to save each year to reach their new goal?
First, we have to calculate how much they will save each year, by also using the Future Value (FV) for calculating an Ordinary Annuity as follows:
FVn = Mn * {[(1 + r)^n - 1] / r} ................................. (1)
Where,
FV1 = New future value of the amount after your 18th birthday = $140,000
M1 = New yearly saving to have $140,000 = ?
r = interest rate = 6.5%, 0.065
n = number of years this savings will be made = 18
Substituting the values into equation (1) and solve for M1, we have:
$140,000 = M1 * {[(1 + 0.065)^18 - 1] / 0.065}
$140,000 = M1 * 32.4100673759666
M1 = $140,000 / 32.4100673759666
M1 = $4,319.65
Therefore, they will have to save $4,319.65 each year to reach their goal of $140,000.
To obtain difference in yearly savings, we have:
Difference in yealy saving = M - M1 = $5,245.28 - $4,319.65 = $925.63
Since $5,245.28 each year to reach their goal of $170,000 is greater than $4,319.65 each year to reach their goal of $140,000, it therefore implies that they will have to save $925.63 less to reach their new goal of $140,000.
Exercise 10-1 Recording bond issuance and interest LO P1 On January 1, 2017, Boston Enterprises issues bonds that have a $3,400,000 par value, mature in 20 years, and pay 9% interest semiannually on June 30 and December 31. The bonds are sold at par. 1. How much interest will Boston pay (in cash) to the bondholders every six months
Answer:
Semi-annual interest payment=$153,000
Explanation:
The interest payment on the bond is an expense which would be incurred twice a year because the terms and conditions of the bond contract is that interest be paid semi-annually, that is every six month.
This implies that we would need to work out the interest rate applicable for every six month. This is doe as follows:
Semi-annual interest rate = Annual interest rate / 2
Annual interest rate = 9%
Semi-annual interest rate = 9%/2= 4.5%
Semi-annual interest payment = Interest rate × Nominal value of Bond
Semi-annual interest payment = 4.5% × $3,400,000=$153,000
Semi-annual interest payment= $153,000
Nichols, Inc. has 1,000 shares of 4%, $100 par value, cumulative preferred stock and 75,000 shares of $1 par value common stock outstanding at December 31 of the current year and has declared a dividend for the year. What is the annual dividend that will be paid to the preferred stockholders
Answer: $20,000
Explanation:
The dividends due to preferred stock are fixed and quoted on the preference shares.
The above shares are to get 4% of their par value in dividends.
= (4% * 100) * 5,000 shares
= $20,000
A yearly dividend is a the price paid per share of funds by the firm to its stockholders.
The yearly dividend that will be paid to the elected stockholders will be $20,000
It can be determined by using the formula:[tex]= \text{Monthly Shares} \times \text{Number of payments per year}[/tex]
The above shares are to get 4% of their par price in interests:[tex]= (4\% \times 100) \times 5,000 \; \text{shares}[/tex]
= $20,000
Therefore, $20,000 will be paid to the stockholders.
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Bramble Corp. uses flexible budgets. At normal capacity of 19000 units, budgeted manufacturing overhead is: $57000 variable and $270000 fixed. If Stone had actual overhead costs of $328800 for 21000 units produced, what is the difference between actual and budgeted costs
Answer:
$4,200 Favorable
Explanation:
Given the above information,
Variable overhead rate
= $57,000 / 19,000 units
= $3 per unit
Overhead variance = Real - Allocated
= $328,800 - ($3 × 21,000 + $270,000)
= $328,800 - $333,000
= $4,200 Favorable
