The duration of the bond is 4.352 years. To calculate the present value of the bond, we need to discount all the future cash flows of the bond back to their present values.
Using the given information,
Coupon payment = 6% * $1,000 = $60 per year
Number of coupon payments = 5 years * 1 payment per year = 5 payments
Face value or par value = $1,000
Yield to maturity = 5.5%
We can use the following formula to calculate the present value of the bond:
PV = (C / (1 + r)^1) + (C / (1 + r)^2) + ... + (C + FV / (1 + r)^n)
where,
C = coupon payment
r = yield to maturity (in decimal)
FV = face value or par value
n = number of years
Plugging in the values, we get:
PV = ($60 / (1 + 0.055)^1) + ($60 / (1 + 0.055)^2) + ($60 / (1 + 0.055)^3) + ($60 / (1 + 0.055)^4) + ($60 + $1,000 / (1 + 0.055)^5)
PV = $1,037.55 (rounded to two decimal places)
Therefore, the present value of the bond is $1,037.55.
To calculate the duration of the bond, we need to use the following formula:
Duration = [(C / (1 + r)^1 * 1) + (C / (1 + r)^2 * 2) + ... + (C + FV / (1 + r)^n * n)] / PV
Plugging in the values, we get:
Duration = [($60 / (1 + 0.055)^1 * 1) + ($60 / (1 + 0.055)^2 * 2) + ($60 / (1 + 0.055)^3 * 3) + ($60 / (1 + 0.055)^4 * 4) + ($60 + $1,000 / (1 + 0.055)^5 * 5)] / $1,037.55
Duration = 4.352 years (rounded to three decimal places)
Therefore, the duration of the bond is 4.352 years.
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c(y)=5y^2+6 Find Producer Surplus
In a perfective competitive market
In a perfectly competitive market, the producer surplus can be calculated by determining the area above the supply curve and below the market price.
To find the producer surplus, we first need to know the supply function or curve for the market. However, the given equation "c(y) = 5y^2 + 6" appears to represent a cost function rather than a supply function. The cost function represents the relationship between the quantity produced (y) and the cost of production.
To calculate the producer surplus, we need information about the market supply curve, which shows the quantity producers are willing to supply at different prices. Without this information, we cannot determine the specific producer surplus in this case.
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B. Is it right to say that there are substantial difference in
how people in different nations are motivated to work?
Yes, it is right to say that there are substantial differences in how people in different nations are motivated to work. The way people are motivated to work differs according to their cultural background, and as such, this has an impact on how they behave at work.
Different cultures have different work ethics, values, and attitudes towards work. Therefore, managers need to understand these differences in motivation in order to effectively manage a diverse workforce of different cultural backgrounds. For example, employees from individualistic cultures may be motivated by rewards and recognition for their individual achievements. On the other hand, employees from collectivist cultures may be motivated by group achievements and working towards a common goal.In conclusion, it is important for managers to recognize and understand these differences in motivation in order to effectively manage employees from different cultural backgrounds.
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Q1. Characterize each of the investment objectives given below as one of the following: an absolute risk objective, a relative risk objective, an absolute return objective, or a relative return object
Investment objectives can be classified into different categories based on their focus and desired outcomes. Let's analyze each of the objectives provided and categorize them accordingly:
Preserve capital while generating income: This objective can be characterized as an absolute risk objective. The primary focus is on preserving the initial investment capital and generating a consistent income stream, with a lower emphasis on seeking higher returns or taking significant risks.
Outperform a specific market index: This objective falls under the category of a relative return objective. The goal is to achieve returns that exceed the performance of a specific market index or benchmark. It involves comparing the investment performance to a reference point and seeking to generate superior relative returns.
Maximize total return: This objective is categorized as an absolute return objective. The primary focus is on maximizing the overall return on investment without considering a specific benchmark. The goal is to achieve the highest possible return, irrespective of the performance of any particular market or index.
Limit downside risk while participating in market gains: This objective can be classified as a relative risk objective. The emphasis is on managing and mitigating downside risk while still aiming to participate in potential market gains. The focus is on achieving a favorable risk-adjusted return compared to the market or relevant benchmarks.
It's important to note that investment objectives can vary based on individual preferences, risk tolerance, and investment time horizons. Therefore, it's crucial for investors to clearly define their objectives and align their investment strategies accordingly.
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increased visibility of purchasing from the mid 70s to the mid 80s. O a. Scarcity/inflation O b. Television c. The internet d. Transportation e. None of the above
The increased visibility of purchasing from the mid-70s to the mid-80s was driven by scarcity/inflation.
Increased visibility of purchasing from the mid-70s to the mid-80s was driven by Scarcity/inflation. From the mid-1970s to the mid-1980s, the world economy saw a shortage of oil and rising energy prices. There was a lot of inflation, and people were trying to be careful with their money. However, scarcity of supply leads to an increase in prices which in turn reduces the purchasing power of people; this resulted in consumers being careful in the spending of money as prices rose steeply. Hence, the increased visibility of purchasing from the mid-70s to the mid-80s was driven by scarcity/inflation.
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The balance in the Prepaid Rent account before adjustment at the end of the year is $12,000 and represents three months' rent starting on November 1 The adjusting entry required on December 31 is
The adjusting entry required on December 31 for the Prepaid Rent account with a balance of $12,000, representing three months' rent starting on November 1, would be as follows:
**Debit** | **Credit**
--- | ---
Rent Expense | $4,000
Prepaid Rent | $4,000
The adjusting entry aims to recognize the portion of prepaid rent that has been consumed or expired during the current accounting period. As three months' rent starting from November 1 has passed, one month's rent needs to be recognized as an expense.
Rent Expense, an income statement account, is debited for the amount of one month's rent, which is $4,000 ($12,000 divided by 3). This entry reflects the expense incurred during the period.
Prepaid Rent, a balance sheet account, is credited for the same amount of $4,000. This entry reduces the prepaid amount by the portion that has been consumed, aligning the balance with the remaining prepaid rent for future periods.
By recording this adjusting entry, the financial statements will accurately reflect the rent expense for the period and the remaining prepaid rent at the end of the year.
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During 2020, ABC Corp. had sales of $17,560,000. Costs of goods sold were $3,550,000, Selling, General, and Administrative (SG&A) expenses were $2,950,000. Depreciation expenses were $2,830,000. Given these facts, what was ABC Corp.'s operating income (EBIT) for 2020? A. $8,680,000 B. $8,230,000 C. $10,510,000 D. $7,680,000
B. $8,230,000. ABC Corp.'s operating income (EBIT) for 2020 is $8,230,000.
To calculate ABC Corp.'s operating income (EBIT) for 2020, we need to subtract the cost of goods sold (COGS), selling, general, and administrative (SG&A) expenses, and depreciation expenses from the sales revenue.
Operating Income (EBIT) = Sales - COGS - SG&A Expenses - Depreciation Expenses
Using the provided figures:
Sales = $17,560,000
COGS = $3,550,000
SG&A Expenses = $2,950,000
Depreciation Expenses = $2,830,000
Operating Income (EBIT) = $17,560,000 - $3,550,000 - $2,950,000 - $2,830,000
Operating Income (EBIT) = $8,230,000
Therefore, ABC Corp.'s operating income (EBIT) for 2020 is $8,230,000.
The correct answer is B. $8,230,000.
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In this exercise, we consider the auction market for art first introduced in Exercise 2.24. The variables in the data file ashcan_small that we will be concerned with are as follows: RHAMMER = the price at which a painting sold in thousands of dollars YEARS OLD- the time between completion of the painting and when it was sold INCHSQ = the size of the painting in square inches O Create a new variable INCHSQ10 INCHSQ/10 to express size in terms of tens of square inches. Only consider observations where the art was sold (SOLD = 1). a. Estimate the following log-linear equation and report the results: In(RHAMMER) =B₁ + B, YEARS OLD+B,INCHSQ10+e b. How much do paintings appreciate on a yearly basis? Find a 95% interval estimate for the expected percentage price increase per year. c. How much more valuable are large paintings? Using a 5% significance level, test the null hypothesis that painting an extra 10 square inches increases the value by 2% or less against the alternative that it increases the value by more than 2%. d. Add the variable INCHSQ10³ to the model and re-estimate. Report the results. Why would you consider adding this variable? e. Does adding this variable have much impact on the interval estimate in part (b)? f. Redo the hypothesis test in part (c) for art of the following sizes: (i) 50 square inches (sixth percentile). (ii) 250 square inches (approximately the median), and (iii) 900 square inches (97th percentile). What do you observe? g. Find a 95% interval estimate for the painting size that maximizes price. h. Find a 95% interval estimate for the expected price of a 75-year-old, 100-square-inch painting. (Use the estimator exp{E[In(RHAMMER YEARS OLD=75. INCHSQ10=10)]} and its stan- dard error.)
The exercise involves estimating a log-linear equation, analyzing appreciation rate, testing significance, adding variables, and estimating price intervals for specific scenarios.
a. The log-linear equation is estimated using the variables RHAMMER, YEARS OLD, and INCHSQ10. The coefficients (B₁, B₂, B₃) and their significance are reported.
b. To determine the yearly appreciation rate, the coefficient B₂ (associated with YEARS OLD) is examined. A 95% interval estimate for the expected percentage price increase per year is calculated.
c. A hypothesis test is conducted to determine the impact of size (INCHSQ10) on value. The null hypothesis assumes a 2% or lower increase, while the alternative suggests a higher increase. A 5% significance level is used.
d. The variable INCHSQ10³ is added to the model, and the estimation is repeated. The reason for considering this variable is explained.
e. The impact of adding the variable on the interval estimate in part (b) is assessed.
f. The hypothesis test in part (c) is repeated for specific art sizes: 50 square inches, 250 square inches, and 900 square inches.
g. A 95% interval estimate for the painting size that maximizes price is determined.
h. A 95% interval estimate for the expected price of a 75-year-old, 100-square-inch painting is calculated using the provided estimator and its standard error.
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A company discarded a computer system originally purchased for $8,050. The accumulated depreciation was $7150. The company should recognize a (on) Multiple Choice $ 59.000 loss
$ 2.050 gain $ 900 gain $0 gain or loss
$ 7.150 loss
When a company discards a computer system that was originally purchased for $8,050, with an accumulated depreciation of $7,150, it will recognize a loss of $900.
Therefore, the right option is $ 900 gain. The formula for computing the gain or loss on the disposal of a plant asset is as follows:Gain or Loss = Cash Received - Book Valueof the AssetIf the cash received is greater than the book value of the asset, then the company will record a gain. On the other hand, if the book value of the asset is greater than the cash received, the company will recognize a loss.
To calculate the book value of the asset, the formula is as follows:Book Value of the Asset = Original Cost of Asset - Accumulated DepreciationGiven that the original cost of the computer system is $8,050, and the accumulated depreciation is $7,150, the book value of the asset is computed as follows:Book Value of the Computer System = $8,050 - $7,150 = $900Since there is no cash received on disposal of the asset, the gain or loss will be equal to the book value of the asset. Since the book value of the computer system is $900, the company will recognize a $900 loss on the disposal of the asset. Hence, $900 is the answer.
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Consider a market given by the following supply and demand equations MC=5+4Q WTP=95-30 What is the price of this good in this market?
Consider a market given by the following supply and demand equations MC=5+4Q WTP=95-30, The price of this good in the market is $30.
How can we determine the price of the good in this market?The price of a good in a market is determined by the intersection of the supply and demand curves. In this case, the supply equation is given as MC = 5 + 4Q, where MC represents the marginal cost of producing each unit and Q represents the quantity supplied.
The demand equation is given as WTP = 95 - 30P, where WTP represents the willingness to pay for each unit and P represents the price. To find the price, we need to find the quantity at which the quantity supplied (MC) equals the quantity demanded (WTP). Solving the equations, we find that Q = 10, and substituting this value back into the demand equation, we find P = $30.
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If the production function in a country is Y=K 1/2, the investment rate equals 0.15, and the depreciation rate is 0.10, then the steady-state level of output per worker is equal to: 2.25 units. 15 units. 1.5 units. 10 units.
To find the steady-state level of output per worker, we will follow these steps:
1. Determine the steady-state condition: In the steady-state, investment equals depreciation. Thus, sY = dK, where s is the investment rate, Y is output, d is the depreciation rate, and K is the capital stock.
2. Substitute the given values and the production function: Given the investment rate s = 0.15 and the depreciation rate d = 0.10, we have 0.15Y = 0.10K. The production function is Y = K^(1/2).
3. Replace Y with K^(1/2): Now, substitute the production function into the steady-state equation: 0.15(K^(1/2)) = 0.10K.
4. Solve for K: To find the steady-state capital stock, divide both sides by 0.15 and 0.10: K^(1/2) = 1.5. Then, square both sides to eliminate the exponent: K = 2.25.
5. Calculate the steady-state output: Use the production function Y = K^(1/2) and substitute K = 2.25: Y = (2.25)^(1/2) = 1.5 units.
The steady-state level of output per worker is 1.5 units.
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prepare the closing entries for the year ended December 31
- prepare the entry to close the revenue account
- prepare the entry to close the expense account
- prepare the entry to close income summary
The following adjusted trial balance at December 31 of Wilson Trucking Company. Account Title Debit Credit Cash Accounts receivable $ 9,200 18,700 4,200 Office supplies Trucks 184,000 Accumulated depr
These closing entries are necessary to reset the temporary accounts (revenue and expense) to zero and transfer their balances to the appropriate permanent account (Retained Earnings or Owner's Equity) for the next accounting period.
To prepare the closing entries for the year ending December 31, we need to close the revenue account, expense account, and income summary account. the provided adjusted trial balance, here are the closing entries:
1. Entry to close the revenue account:
Debit: Revenue
Credit: Income Summary
2. Entry to close the expense accounts:
Debit: Income Summary
Credit: Individual Expense Accounts (e.g., Office Supplies Expense, Trucks Depreciation Expense, etc.)
3. Entry to close the income summary account:
Debit: Income Summary
Credit: Retained Earnings (or Owner's Equity, depending on the company structure)
The amounts for each account would depend on the balances recorded throughout the year. It's important to review the specific account balances and adjust the entries accordingly to reflect the correct amounts before finalizing the closing entries.
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A probability function is given by p(0) = 0.3164, p(1)
= 0.4219, p(2) = 0.2109, p(3) = 0.0469, and p(4) = 0.0039. Find its
mean and variance.
The mean of the probability function is approximately 0.9999. The variance of the probability function is approximately 0.7496.
To find the mean and variance of the probability function given, we need to calculate the weighted sum of the outcomes and their squared deviations from the mean, respectively.
Mean (μ):
The mean of a probability distribution is calculated by multiplying each outcome by its corresponding probability and summing them up.
μ = 0 * p(0) + 1 * p(1) + 2 * p(2) + 3 * p(3) + 4 * p(4)
= 0 * 0.3164 + 1 * 0.4219 + 2 * 0.2109 + 3 * 0.0469 + 4 * 0.0039
= 0 + 0.4219 + 0.4218 + 0.1407 + 0.0156
≈ 0.9999
The mean of the probability function is approximately 0.9999.
Variance (σ²):
The variance is calculated by summing the squared deviation of each outcome from the mean, weighted by their respective probabilities.
σ² = (0 - μ)² * p(0) + (1 - μ)² * p(1) + (2 - μ)² * p(2) + (3 - μ)² * p(3) + (4 - μ)² * p(4)
= (0 - 0.9999)² * 0.3164 + (1 - 0.9999)² * 0.4219 + (2 - 0.9999)² * 0.2109 + (3 - 0.9999)² * 0.0469 + (4 - 0.9999)² * 0.0039
≈ (0.9999)² * 0.3164 + (0.0001)² * 0.4219 + (1.0001)² * 0.2109 + (2.0001)² * 0.0469 + (3.0001)² * 0.0039
≈ 0.9998 * 0.3164 + 0.00000001 * 0.4219 + 1.0002 * 0.2109 + 4.0008 * 0.0469 + 9.0006 * 0.0039
≈ 0.3163 + 0.0000000004219 + 0.2108 + 0.1875 + 0.0351
≈ 0.7496
The variance of the probability function is approximately 0.7496.
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Have you previously
considered the link between CSR and your life?
What are some specific
examples of times that contradict CSR ?
How could you improve your
own life with the knowledge you ha"
Corporate social responsibility (CSR) is the duty of an organization to act in ways that will improve the welfare of society as a whole, as well as the interests of its shareholders. CSR involves adopting sustainable business practices that minimize an organization's negative environmental impact and, at the same time, benefit the community and society at large.
Examples of times that contradict CSR are When a company focuses on profit maximization at the expense of environmental sustainability. When an organization exploits its employees by not paying them a fair wage, providing unsafe working conditions, or denying them fundamental human rights. When a company disregards its impact on society or its customers by selling goods or services that are harmful to people's health or well-being.
How to improve your own life with the knowledge you have Adopt sustainable living practices, such as reducing energy consumption and waste, recycling, and conserving water. Examples of times that contradict CSR are When a company focuses on profit maximization at the expense of environmental sustainability. When an organization exploits its employees by not paying them a fair wage, providing unsafe working conditions, or denying them fundamental human rights. When a company disregards its impact on society or its customers by selling goods or services that are harmful to people's health or well-being. Choose to buy products from companies that engage in sustainable and socially responsible practices. Become a socially responsible investor by choosing to invest in companies that prioritize environmental sustainability and social responsibility.
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Question 10 of 17 Check My Work ED eBook Problem 7-18 You have graduated from college but unfortunately have $35,000 in outstanding loans. The loans require payments of $3,290 per year, which covers interest and principal repayment (that is, the loan has the same basic features as a mortgage). If the interest rate is 5 percent, how long will it take you to repay the debt? Use Appendix D to answer the question. Round your answer up to the next whole number. If the powers that be raise the rate to 8 percent, how many additional years will be required to retire the loans? Use Appendix D to answer the question, Round your answer up to the next whole number. Check My Work O Icon Rey A-2
You have $35,000 in outstanding loans that require annual payments of $3,290, covering both interest and principal repayment.
To calculate the time it will take to repay the debt at an interest rate of 5 percent, we can use the present value of an annuity formula from Appendix D. The present value of the loan is $35,000, and the annual payment is $3,290. By using the formula, we can find the number of periods it will take to repay the loan. Once we have calculated the time required at 5 percent interest, we can repeat the calculation with an interest rate of 8 percent to determine the additional years needed to retire the loans. We will use the same loan amount and annual payment and calculate the new time required.
By rounding up the calculated values to the next whole number, we can obtain the number of years required to repay the debt at both interest rates. In conclusion, we can determine the time required to repay the debt at 5 percent interest and the additional years needed if the interest rate is raised to 8 percent by using the present value of an annuity formula.
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Explain a) two ways in which inequality could positively affect economic growth and b) two ways in which inequality could harm economic growth.
a) Two ways in which inequality could positively affect economic growth: Incentives for hard work and risk-taking: Inequality in the form of higher returns can encourage individuals to work hard and take risks, resulting in increased productivity, innovation, and ultimately economic growth.
Capital accumulation: Inequality can help with the accumulation of capital, which is required to finance growth, especially in poorer nations. The wealthy are more likely to save and invest rather than consume, resulting in higher levels of capital and economic growth.
b) Two ways in which inequality could harm economic growth: Poor health and education outcomes: Inequality in the form of limited access to health care and education can result in poorer health and education outcomes for those at the bottom of the income distribution. This could result in lower productivity and economic growth. Political instability: Economic inequality can lead to social unrest and political instability, which could harm the economy by discouraging investment and damaging infrastructure.
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The following information has been taken from Hamdard Manufacturing Company accounting records:
Selling expense................ $140,000
Raw material inventory, Jan. 1......... 90,000
Raw material inventory, Dec. 31.... 60,000
Utilities for the factory ..... ...... 36,000
Direct labor cost.. ....................... 150,000
Depreciation for the factory ... ............. 162,000
Purchases of raw material ....... 750,000
Sales............... 2,500,000
Insurance for factory...... 40,000
Supplies for factory ....... 15,000
Administrative expense........... 270,000
Indirect labor.. 300,000
Maintenance for factory... 87,000
Work in process inventory. Jan.1............. 180,000
Work in process inventory, Dec. 31......... 100.000
Finished goods inventory, Jan. 1..... ... 260,000
Finished goods inventory, Dec. 31....... 210,000
Management seeks your help as an expert to help them arrange this information into better format, so that the cost sheet of the company can be prepared.
Hamdard Manufacturing Company accounting records the following data which can be arranged in a better format for the cost sheet:Sales: 2,500,000Raw material inventory, Jan. 1: 90,000Add Purchases of raw material: 750,000Total raw material available: 840,000Less Raw material inventory, Dec. 31: 60,000Raw material used in production: 780,000
Add Direct labor cost: 150,000Add Factory overhead: Depreciation for the factory: 162,000 + Utilities for the factory: 36,000 + Insurance for factory: 40,000 + Supplies for factory: 15,000 + Indirect labor: 300,000 + Maintenance for factory: 87,000 = 640,000Total manufacturing cost: 1,570,000Add Work in process inventory,
Jan. 1: 180,000Less Work in process inventory, Dec. 31: 100,000Cost of goods manufactured: 1,650,000Add Finished goods inventory, Jan. 1: 260,000Less Finished goods inventory, Dec. 31: 210,000Cost of goods sold: 1,700,000Explanation:The given data of Hamdard Manufacturing Company accounting records can be arranged in a better format for the cost sheet as follows:Sales: 2,500,000Raw material inventory, Jan. 1: 90,000: 1,700,000
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security deposits must be deposited in the escrow account maintained by a property manager how soon after a lease is signed and this must be recorded in the journal and ledger
a by end of business the same day as signing
b within 5 business says of signing
c by the next business day after signing
d immediately
Correct option is c. security deposits must be deposited into the escrow account by the next business day after the lease is signed, and this deposit should be recorded in the journal.
How are security deposits handled?In most cases, security deposits must be deposited into the escrow account maintained by a property manager by the next business day after the lease is signed. This timeframe allows for the necessary administrative tasks to be completed promptly while ensuring compliance with legal requirements.
Depositing the security deposit into the escrow account serves to protect the tenant's funds and prevent any misuse by the landlord or property manager. It establishes a clear separation between the tenant's money and the landlord's assets.
Recording the deposit in the journal and ledger is an essential accounting practice that ensures accurate and transparent financial records. This step helps maintain an organized record of all transactions related to security deposits, providing a reliable audit trail and facilitating future reference if any disputes or inquiries arise.
It is important for landlords and property managers to familiarize themselves with the specific laws and regulations in their jurisdiction regarding security deposit handling, as the exact timeframe for depositing and recording may vary. Consulting legal professionals or local housing authorities can provide further guidance on the specific requirements applicable to a particular location.
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Question 15 6 points [CLO-2] On May 4, Chelsea Video Company purchased merchandised Inventory for $38,000 on account from Highpoint Electronic Inc. With the merchandised inventory is an invoice dated May 4, with terms of 3/10, n/90, FOB shipping point. The goods cost Highpoint $30,000. When the goods are delivered, Chelsea paid $200 freight-in (transportation- in) on its purchase from Highpoint Electronic. On May 8, Chelsea Video Company returned goods for $8,000 to Highpoint Electronic because the goods were damaged. The returned goods had cost Highpoint $4,500 On May 12, Chelsea Video Company paid Highpoint Electronic for the amount owed. (Both Chelsea Video Company and Highpoint use a perpetual inventory system.) Required: Part a) Prepare journal entries that Chelsea Video Company records for these transactions on the dates May 4th, May 8th and May 12th (3 marks) Part b) Prepare journal entries that Highpoint records for these transactions on the dates May 4th, May 8th and May 12th (3 marks) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac) BIUS Arial Paragraph 10pt I X > !!! PP I +44
Part a) Journal Entries for Chelsea Video Company:
May 4:
Inventory (Merchandise) 38,000
Accounts Payable 38,000
May 8:
Accounts Payable 8,000
Inventory (Merchandise) 8,000
May 8:
Loss on Damaged Goods 3,500
Inventory (Merchandise) 3,500
May 12:
Accounts Payable 37,500
Cash 37,500
Part b) Journal Entries for Highpoint Electronic:
May 4:
Accounts Receivable 38,000
Sales 38,000
Cost of Goods Sold 30,000
Inventory (Merchandise) 30,000
May 8:
Inventory (Merchandise) 4,500
Loss on Damaged Goods 4,500
Accounts Receivable 8,000
May 12:
Cash 37,500
Accounts Receivable 37,500
Note: The journal entries record the transactions for Chelsea Video Company and Highpoint Electronic. Chelsea Video Company records the purchase of merchandise inventory, payment of freight-in, return of damaged goods, and payment to Highpoint Electronic. Highpoint Electronic records the sales of merchandise, the cost of goods sold, the return of damaged goods, and the receipt of payment from Chelsea Video Company.
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In a BIP problem, which of the following constraints would enforce a mutually exclusive relationship between project 1 and project 2?
Multiple Choice
x1 + x2 ≤ 1
x1 + x2 ≥ 1
x1 − x2 ≤ 1
x1 − x2 = 1
None of the answer choices is correct.
The correct answer is x1 + x2 ≤ 1. This constraint ensures that either project 1 or project 2 can be selected, but not both at the same time. If x1 = 1 (project 1 is selected), then x2 must be 0 (project 2 is not selected) and vice versa.
The other constraints do not enforce this mutually exclusive relationship between the two projects. x1 + x2 ≥ 1 allows both projects to be selected at the same time, x1 − x2 ≤ 1 allows for overlapping selection of both projects, and x1 − x2 = 1 only enforces a specific difference between the selection of project 1 and project 2.
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A bakery bakes two brands of birthday cakes: cake city and chocolate cake and sells them at a profit of Ksh 50 per cake city and Ksh 20 per chocolate cake. Each cake is processed on two automatic machines M1 and M2. Cake city requires 1 minute of processing time and 2 minutes on M2. Chocolate cake requires 1.5 minutes on M1 and 2.5 minutes on M2. The machines M1 and M2 are available for 6 hours 30 minutes and 9 hours respectively. Formulate this problem as a linear programming problem and solve by graphical method.
Linear Programming is the optimization of a linear objective function subject to linear constraints.
Graphical Method is one of the methods of solving Linear Programming Problems. A bakery bakes two brands of birthday cakes: cake city and chocolate cake and sells them at a profit of K sh 50 per cake city and Ksh 20 per chocolate cake. Each cake is processed on two automatic machines M1 and M2.
Convert the problem into mathematical form. The given problem can be expressed as a linear programming problem as follows: Maximize 50x1 + 20x2.1)subject to:x1 + 1.5x2 ≤ 390 (minutes available on M1). (2)2x1 + 2.5x2 ≤ 540 (minutes available on M2).(3)x1, x2 ≥ 0....(4)Step 2: Sketch the feasible region: To sketch the feasible region, draw the line x1 + 1.5x2 = 390 by putting the values of x1 and x2 as zero and then finding the values of x1 and x2, putting them in the equation.
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the exchange rate between the australian dollar and the indian rupee is determined in a flexible foreign exchange market.
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A higher exchange rate for the Australian dollar relative to the Indian rupee makes Australian goods more expensive for Indian buyers, which can reduce demand for those goods.
True. The exchange rate between the Australian dollar and the Indian rupee is determined in a flexible foreign exchange market. This means that the value of the currencies is determined by the supply and demand for them in the foreign exchange market. The exchange rate fluctuates based on a variety of factors including economic conditions, political events, and market speculation.
In a flexible exchange rate system, the exchange rate is not fixed but rather determined by market forces. In contrast, a fixed exchange rate system is one in which the value of a currency is fixed relative to another currency or a basket of currencies. In a fixed exchange rate system, the government or central bank may need to intervene in the market to maintain the exchange rate at the desired level.
The exchange rate between the Australian dollar and the Indian rupee is an important factor in the trade relationship between the two countries. Conversely, a lower exchange rate can make Australian goods more attractive to Indian buyers.
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Ivanhoe Company signed a lease for an office building for a period of 11 years. Under the lease agreement, a security deposit of $8.400 is made. The deposit will be returned at the expiration of the lease with interest compounded at 8% per year. Click here to view the factor table. (For calculation purposes, use 5 decimal places as displayed in the factor table provided.) What amount will Ivanhoe receive at the time the lease expires? (Round answer to 2 decimal places, e.g. 25.25.) Amount at the time the lease expires $
Ivanhoe Company signed a lease for an office building for a period of 11 years. Under the lease agreement, a security deposit of $8.400 is made.
The amount Ivanhoe Company will receive at the time the lease expires is $17,337.60. This is calculated by multiplying the principal amount of $8,400 by the future value factor of 2.062000, which is obtained from the factor table for 8% interest and 11 years. The future value represents the accumulated amount of the security deposit, including interest, at the end of the lease term. This calculation helps Ivanhoe Company determine the total funds they will receive when the lease agreement concludes.
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You work at a restaurant, but you want to start making a plan for the future. Three investments (payments, if you will) are made over a five-year period. You have a great year your first year, ($10,000 towards savings at the end of the year), a fairly good year your second year ($6000 at the end of the second year), a wicked third year where you wash out all profits (i.e. zero investment opportunity that year) because of a car accident that wasn't your fault, and a $15,000 insurance check for the car accident that finally came at the end of the fourth year. School starts at the end of year five. Assuming 12% annual interest (compounding annually), a.) SHOW YOUR CASH FLOW DIAGRAM FOR THE FIVE YEARS, ASSUMING YOU WANT TO WITHDRAWAL ALL FUNDS AT THE END OF YEAR? (5 pts) b.) What is the future value of all your "investments" at the end of year five? (15 pts) F =
Expert Answer
The future value of all your investments at the end of year five is approximately $40,964.
a) here's the cash flow diagram for the five years:
year 1: +$10,000 (savings)
year 2: +$6,000 (savings)
year 3: $0 (washout)
year 4: +$15,000 (insurance check)
year 5: withdrawal of all funds
b) to calculate the future value of all investments at the end of year five, we need to calculate the future value of each cash flow and then sum them up.
using the formula for calculating the future value of a single sum with compound interest:
fv = pv * (1 + r)ⁿ
where:
fv = future value
pv = present value (initial investment)
r = interest rate per period
n = number of periods
let's calculate the future value for each cash flow:
year 1: fv1 = $10,000 * (1 + 0.12)⁴ (since it compounds for 4 years until the end of year five)
year 2: fv2 = $6,000 * (1 + 0.12)³
year 3: fv3 = $0 (no investment opportunity)
year 4: fv4 = $15,000 * (1 + 0.12)¹ (since it compounds for 1 year until the end of year five)
now, we sum up the future values of all cash flows:
fv = fv1 + fv2 + fv3 + fv4
substituting the values and calculating:
fv = ($10,000 * (1 + 0.12)⁴) + ($6,000 * (1 + 0.12)³) + ($0) + ($15,000 * (1 + 0.12)¹)
= $10,000 * 1.5735 + $6,000 * 1.4049 + $0 + $15,000 * 1.12
≈ $15,735 + $8,429 + $15,000 * 1.12
≈ $15,735 + $8,429 + $16,800
≈ $40,964
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Exercise 13-3 (Algo) Make or Buy Decision (LO13-3] Troy Engines, Ltd., manufactures a variety of engines for use in heavy equipment. The company has always produced all of the necessary parts for its engines, including all of the carburetors. An outside supplier has offered to sell one type of carburetor to Troy Engines, Ltd., for a cost of $36 per unit. To evaluate this offer, Troy Engines, Ltd., has gathered the following information relating to its own cost of producing the carburetor internally: Direct materials Direct labor Variable manufacturing overhead Fixed manufacturing overhead, traceable Fixed manufacturing overhead, allocated Total cost 20,000 Units Per Per Unit Year $ 13 $ 260,000 11 220,000 4 80,000 6+ 120,000 9 180,000 $ 43 $ 860,000 *One-third supervisory salaries; two-thirds depreciation of special equipment (no resale value). Required: 1. Assuming the company has no alternative use for the facilities that are now being used to produce the carburetors, what would be the financial advantage (disadvantage) of buying 20,000 carburetors from the outside supplier? 2. Should the outside supplier's offer be accepted? 3. Suppo that if the carburetors were purchased, Troy Engines, Ltd., could use the freed capacity to launch a new product. The segment margin of the new product would be $200,000 per year. Given this new assumption, what would be the financial advantage (disadvantage) of buying 20,000 carburetors from the outside supplier? 4. Given the new assumption in requirement 3, should the outside supplier's offer be accepted? Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Required 4 Assuming the company has no alternative use for the facilities that are now being used to produce the carburetors, what would be the financial advantage (disadvantage) of buying 20,000 carburetors from the outside supplier? Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Required 4 Should the outside supplier's offer be accepted? Yes No Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Required 4 Suppose that if the carburetors were purchased, Troy Engines, Ltd., could use the freed capacity to launch a new product. The segment margin of the new product would be $200,000 per year. Given this new assumption, what would be the financial advantage (disadvantage) of buying 20,000 carburetors from the outside supplier? Complete this question by entering your answers in the tabs below. Required 1 Required 2 Required 3 Required 4 Given the new assumption in requirement 3, should the outside supplier's offer be accepted? Yes No
It would be advantageous to accept the offer and purchase the carburetors from the outside supplier. Given the new assumption in requirement 3, the outside supplier's offer should be accepted because the financial advantage of buying 20,000 carburetors from the outside supplier is $160,000.
In order to calculate the financial advantage/disadvantage of buying 20,000 carburetors from the outside supplier, we will calculate the total cost of making carburetors: Direct materials = $13 per unit × 20,000 units = $260,000 Direct labor = $11 per unit × 20,000 units = $220,000 Variable overhead = $4 per unit × 20,000 units = $80,000 Traceable fixed overhead = $6+ per unit × 20,000 units = $120,000 Allocated fixed overhead = $9 per unit × 20,000 units = $180,000 Total cost = $860,000 Cost per unit = $860,000 ÷ 20,000 = $43 per unit The financial advantage/disadvantage of buying carburetors from the outside supplier is calculated by subtracting the selling price from the total cost per unit: Total cost per unit $43 Selling price per unit - $36 Advantage/disadvantage per unit $7 Advantage/disadvantage per 20,000 units $140,000 Therefore, if the company has no alternative use for the facilities that are now being used to produce the carburetors, buying 20,000 carburetors from the outside supplier will result in a financial disadvantage of $140,000.
Since buying carburetors from the outside supplier will result in a financial disadvantage of $140,000, the outside supplier's offer should not be accepted. If carburetors are purchased, Troy Engines, Ltd. can use the freed capacity to launch a new product that will yield a segment margin of $200,000 per year. The financial advantage/disadvantage of buying 20,000 carburetors from the outside supplier can be calculated as follows: Advantage/disadvantage per unit = Selling price per unit - Total variable cost per unit Selling price per unit = $36 Total variable cost per unit = Direct materials per unit + Direct labor per unit + Variable manufacturing overhead per unit Direct materials per unit = $13 Direct labor per unit = $11 Variable overhead per unit = $4 Total variable cost per unit = $13 + $11 + $4 = $28 Advantage/disadvantage per unit = $36 - $28 = $8 Advantage/disadvantage per 20,000 units = $8 × 20,000 = $160,000 Since the financial advantage of buying 20,000 carburetors from the outside supplier is $160,000,
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Question 4: What are the three major reasons for government intervention into a particular problem? Select a substantive issue/problem (e.g., social security, welfare, environment) and discuss why the
The three major reasons for government intervention into a particular problem are market failure, distributional concerns, and public goods provision.
Taking the example of environmental issues, government intervention is necessary to address externalities, ensure equitable distribution of resources, and provide public goods that benefit society as a whole.
Environmental issues, such as pollution and resource depletion, often require government intervention due to market failures. Market failures occur when the price mechanism and individual self-interest do not lead to efficient outcomes.
In the case of environmental problems, there are externalities, where the actions of individuals or businesses impose costs on society that are not reflected in market prices. Government intervention can correct these market failures through regulations, taxes, and incentives to reduce pollution and promote sustainable practices.
Distributional concerns are another reason for government intervention in environmental issues. The costs and benefits of environmental policies are not always evenly distributed among different groups in society.
Governments play a role in ensuring that the burden of environmental degradation and the benefits of environmental protection are distributed fairly, addressing issues of social equity and environmental justice.
Additionally, environmental issues often involve the provision of public goods. Public goods, such as clean air and water, biodiversity, and natural landscapes, have non-excludable and non-rivalrous characteristics, making it difficult for the private sector to provide them efficiently. Government intervention is necessary to ensure the provision and preservation of public goods that benefit society as a whole.
In conclusion, government intervention in environmental issues is driven by market failures, distributional concerns, and the need to provide public goods. By addressing externalities, promoting equitable distribution, and ensuring the provision of public goods, governments can effectively tackle environmental challenges and safeguard the well-being of society.
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Healthcare A B C PPF To X On the PPF above, we would describe point Y as being: O Efficient. All of the economy's available resources are being uses on healthcare or education. O Inefficient. The resources available in the economy could be used to produce more healthcare and/or education. O Unattainable. The economy does not have the resources required to produce this point. O All of the above.
Based on the information provided, point Y on the production possibilities frontier (PPF) can be described as inefficient. The reason is that the resources available in the economy could be used more effectively to produce a combination of healthcare and education that is beyond point Y.
Point Y on the PPF (Production Possibility Frontier) is described as unattainable because it lies outside the boundary of the curve. The PPF represents the maximum combination of healthcare and education that can be produced given the available resources and technology. Any point beyond the PPF is not feasible with the current resources and technology.In this case, point Y represents a combination of healthcare and education that cannot be achieved given the resources available in the economy. It implies that the economy does not have enough resources or productive capacity to produce that level of healthcare and education simultaneously.Therefore, the correct description for point Y is unattainable. It is important to note that efficiency and inefficiency are relative to the PPF, and a point can only be considered inefficient if it lies inside the PPF (below the curve), while an efficient point would lie directly on the PPF curve.
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JaeCorp has prepared the following budget for September: Sales revenue $1,500,000 Cost of goods sold 1,000,000 Gross margin $ 500,000 Period costs 450,000 Operating income $50.000 Cost of goods sold is three-fourths variable, and period costs are two-thirds variable. Prepare a flexible budget for September for sales levels 5% and 10% above and below expectations. 4
The calculation of flexible budget for a 5% decrease in sales, 10% decrease in sales, 5% increase in sales, and 10% increase in sales are also shown above.
JaeCorp has prepared the following budget for September:
Sales revenue $1,500,000
Cost of goods sold 1,000,000
Gross margin $ 500,000
Period costs 450,000
Operating income $50.000
The company has calculated the cost of goods sold as three-fourths variable, and period costs are two-thirds variable. Here is how you can prepare a flexible budget for September for sales levels 5% and 10% above and below expectations. The flexible budget for a 5% decrease in sales is:
Sales revenue $1,425,000 ($1,500,000 − ($1,500,000 × .05))
Cost of goods sold 750,000 ($1,000,000 × .75)
Gross margin $ 675,000 ($1,425,000 − $750,000)
Period costs 300,000 ($450,000 × .67)
Operating income $375,000 ($675,000 − $300,000)
The flexible budget for a 10% decrease in sales is:
Sales revenue $1,350,000 ($1,500,000 − ($1,500,000 × .10))
Cost of goods sold 750,000 ($1,000,000 × .75)
Gross margin $ 600,000 ($1,350,000 − $750,000)
Period costs 300,000 ($450,000 × .67)
Operating income $300,000 ($600,000 − $300,000)
The flexible budget for a 5% increase in sales is:
Sales revenue $1,575,000 ($1,500,000 + ($1,500,000 × .05))
Cost of goods sold 750,000 ($1,000,000 × .75)
Gross margin $ 825,000 ($1,575,000 − $750,000)Period costs 300,000 ($450,000 × .67)Operating income $525,000 ($825,000 − $300,000)
The flexible budget for a 10% increase in sales is:
Sales revenue $1,650,000 ($1,500,000 + ($1,500,000 × .10))
Cost of goods sold 750,000 ($1,000,000 × .75)
Gross margin $ 900,000 ($1,650,000 − $750,000)
Period costs 300,000 ($450,000 × .67)
Operating income $600,000 ($900,000 − $300,000)
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After 1990, what is Singapore general economic conditions ?
Explain Singapore's economy after 1990 with the diagrams – inflation rate- economic growth-unemployment- trade deficit- budget deficit- saving/investment- export to import ratio.
Singapore's economy has experienced a lot of growth and development since 1990.
The country has transitioned from a manufacturing-oriented economy to a service-oriented one, allowing it to diversify its economy. The government has been able to reduce its reliance on the manufacturing industry, which has resulted in increased productivity and efficiency.
The below-given diagrams illustrate the country's economic growth and development since 1990:1. Inflation Rate:After 1990, Singapore has experienced a stable inflation rate, averaging 2.5 percent per year. This has been maintained by the country's central bank, the Monetary Authority of Singapore.2. Economic Growth:After 1990, Singapore has experienced a consistent economic growth rate of about 5%. This has been achieved through effective economic policies, such as fiscal discipline and trade openness.
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what is a conceptual framework? why is a conceptual framework necessary in financial accounting?
A conceptual framework in financial accounting is a set of guiding principles, concepts, and objectives that provide a foundation for the development and application of accounting standards.
It serves as a framework for standard-setting bodies, such as the International Accounting Standards Board (IASB) and the Financial Accounting Standards Board (FASB), to establish consistent and reliable financial reporting standards.
A conceptual framework is necessary in financial accounting for the following reasons:
Consistency and Comparability: A conceptual framework establishes consistent and uniform accounting standards that promote comparability of financial statements across different entities and over time. It provides a common language and framework for financial reporting, ensuring that financial information is meaningful and comparable for users.
Decision-making and Accountability: A conceptual framework provides the necessary concepts and objectives to guide the preparation and presentation of financial information. It helps users of financial statements, such as investors, creditors, and regulators, make informed decisions by providing relevant and reliable information. A robust conceptual framework enhances transparency and accountability in financial reporting.
Standard Development: A conceptual framework provides a basis for developing and revising accounting standards. It assists standard-setting bodies in setting principles-based standards that are consistent with the objectives and concepts defined in the framework. It helps ensure that accounting standards address relevant issues, promote transparency, and provide useful information to users.
Resolving Accounting Issues: A conceptual framework helps in resolving accounting issues and filling gaps in existing standards. It provides a reference point for addressing emerging issues and helps standard-setters develop consistent and coherent solutions.
Harmonization of Financial Reporting: A conceptual framework contributes to the harmonization of financial reporting practices globally. It provides a common basis for different countries and jurisdictions to develop their accounting standards, facilitating comparability and reducing inconsistencies in financial reporting.
Education and Training: A conceptual framework plays a crucial role in accounting education and training. It serves as a fundamental tool for teaching accounting principles and concepts, ensuring that accounting professionals have a solid understanding of the underlying principles of financial reporting.
Overall, a conceptual framework is necessary in financial accounting to provide a logical and coherent structure for financial reporting. It enhances the quality, consistency, and comparability of financial information, enabling users to make informed decisions and promoting confidence in financial markets.
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Naidoo Traders sells 8 000 small bags of Maize meal each year. The holding cost of each bag of Maize meal is R5. The cost of placing an order for inventory is estimated at R160. 2.1 Calculate the EOQ. 2.2 Calculate the number of orders that should be placed per annum N.B. Round off answers to the nearest whole number
The number of orders that should be placed per annum is approximately 35 orders.
To calculate the Economic Order Quantity (EOQ), we can use the following formula:
EOQ = √[(2 * Annual Demand * Cost per Order) / Holding Cost per Unit]
Given:
Annual Demand = 8,000 bags
Cost per Order = R160
Holding Cost per Unit = R5
2.1 Calculate the EOQ:
EOQ = √[(2 * 8,000 * 160) / 5]
EOQ = √[256,000 / 5]
EOQ = √51,200
EOQ ≈ 226.27 (rounded to the nearest whole number)
The Economic Order Quantity (EOQ) is approximately 226 bags.
2.2 Calculate the number of orders that should be placed per annum:
Number of Orders = Annual Demand / EOQ
Number of Orders = 8,000 / 226
Number of Orders ≈ 35.40 (rounded to the nearest whole number)
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