When per-unit costs increase as output increases, there are economies of scale in production - False.
If per-unit costs decrease as output increases, there are economies of scale in production. Economies of scale are the cost advantages that businesses obtain when production increases. These advantages arise because of the inverse relationship between the quantity produced and per-unit fixed costs; as production increases, per-unit fixed costs decrease.
Long-run Average Total Cost (LRATC) is another term for constant returns to scale (CRTS). Constant returns to scale (CRTS) refer to a situation in which the output grows proportionately with the number of inputs used. This means that LRATC does not change as output increases or decreases; therefore, the correct option is d.
The marginal rate of substitution (MRS) changes as you move down an isoquant, so the correct option is d.
The correct option is A because it is higher than the expected price of $75.
Because firms attempt to make a profit, they will only enter the market if they believe they can produce the product at a lower cost than the price they will receive for it. If the expected average total cost is higher than the expected price, they would lose money, so they would not produce it.
Economies of scope exist when producing one good is less costly because other related goods are already being produced. This statement is True.
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A Suspense Account was opened for an
error of $30 found in the Trial Balance. Later
it was observed that sales were understated
by $30. This item would be corrected in the
journal by
The main answer is: Debiting Sales Account and Crediting Suspense Account.
To correct the error of understating sales by $30 in the journal, the Sales Account should be debited and the Suspense Account should be credited. This will rectify the understatement of sales and ensure that the Trial Balance reflects the accurate financial information.
When an error is identified in the Trial Balance, a Suspense Account is created to temporarily hold the amount of the error until it is corrected. In this case, an error of $30 was found in the Trial Balance, indicating that the sales figure was understated. To correct this error, the Sales Account, which represents the revenue generated from sales, needs to be increased by $30. Hence, the Sales Account is debited.
On the other hand, the Suspense Account, which was initially created to balance out the Trial Balance, now needs to be reduced by $30 since the error has been identified and will be corrected. Therefore, the Suspense Account is credited to decrease its balance by $30.
By debiting the Sales Account and crediting the Suspense Account, the error of understating sales by $30 is rectified. The Trial Balance will now accurately reflect the corrected sales figure, ensuring the financial statements present a true and reliable representation of the company's financial position.
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One mole of a monoatomic ideal gas is initially at 273 K and 1 atm.
a) What is its initial internal energy?
Find its final internal energy and work done by the gas when 500 J of heat are added b) At constant pressure c) At constant volume
A) The initial internal energy of the gas is 3765 J.
B) The final internal energy of the gas is 4265 J.
C) The final internal energy of the gas is 4265 J.
a) The initial internal energy of the gas can be calculated using the following equation:
U = 3/2 nRT
where:
* U is the internal energy (in J)
* n is the number of moles (1 mol)
* R is the gas constant (8.314 J/mol K)
* T is the temperature (in K)
Plugging in the values, we get:
U = 3/2 * 1 mol * 8.314 J/mol K * 273 K = 3765 J
b) At constant pressure
When heat is added to an ideal gas
of the gas increases. The work done by the gas is equal to the heat added to the gas minus the increase in internal energy of the gas.
The work done by the gas can be calculated using the following equation:
W = Q - ΔU
where:
* W is the work done by the gas (in J)
* Q is the heat added to the gas (in J)
* ΔU is the change in internal energy of the gas (in J)
Plugging in the values, we get:
W = 500 J - 3765 J = -2765 J
, the work done by the gas is -2765 J. The negative sign indicates that the gas does work on its surroundings.
The final internal energy of the gas can be calculated using the following equation:
U = Ui+ Q
where:
* Uiis the initial internal energy of the gas (in J)
* Q is the heat added to the gas (in J)
Plugging in the values, we get:
U = 3765 J + 500 J = 4265 J
c) At constant volume
When heat is added to an ideal gas at constant volume, the temperature of the gas increases and the pressure of the gas increases. The work done by the gas is zero.
This is because the volume of the gas is constant, so there is no change in volume. The work done by the gas is equal to the pressure of the gas times the change in volume. Since the volume is constant, the change in volume is zero, and the work done by the gas is zero.
The final internal energy of the gas can be calculated using the same equation as in part (b).
U = Ui+ Q
Plugging in the values, we get:
U = 3765 J + 500 J = 4265 J
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Which section, in a CAR Counteroffer, states that a binding agreement is created when a copy of a signed acceptance is personally received by the maker of the counteroffer or the person's authorized agent
Simply sending the acceptance via mail or email may not be sufficient to create a legally binding contract.
The section in a CAR Counteroffer that states that a binding agreement is created when a copy of a signed acceptance is personally received by the maker of the counteroffer or the person's authorized agent is called the "Acceptance" section. In this section, it is clearly outlined that a binding agreement is formed when the counteroffer is accepted and a copy of the signed acceptance is personally received by the maker of the counteroffer or their authorized agent.
It is important to note that this section emphasizes the requirement of personal receipt of the signed acceptance to establish a binding agreement. This means that simply sending the acceptance via mail or email may not be sufficient to create a legally binding contract. It is recommended to carefully review this section in a CAR Counteroffer to understand the specific requirements for creating a binding agreement.
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Your uncle's employer was just acquired, and he was given a severance payment of $500,668, which he invested at a 4.5% annual rate. He now plans to retire, and he wants to withdraw $33,651 at the end of each year, starting at the end of this year. How many years will it take to exhaust his funds, i.e., run the account down to zero?
It will take approximately 26 years for your uncle's funds to be exhausted and the account to reach zero, assuming an annual withdrawal of $33,651 and an interest rate of 4.5%.
To determine the number of years it will take for your uncle's funds to be exhausted, we can use the formula for the present value of an annuity:
PV = C * (1 - (1 + r)^(-n)) / r
Where PV is the present value (initial investment), C is the annual withdrawal amount, r is the interest rate, and n is the number of years.
Plugging in the given values:
$500,668 = $33,651 * (1 - (1 + 0.045)^(-n)) / 0.045
Simplifying the equation:
(1 - (1.045)^(-n)) / 0.045 = $500,668 / $33,651
(1.045)^(-n) = 1 - ($33,651 / $500,668) * 0.045
Taking the logarithm of both sides:
-n * ln(1.045) = ln(1 - ($33,651 / $500,668) * 0.045)
Solving for n:
n = ln(1 - ($33,651 / $500,668) * 0.045) / ln(1.045)
Using a calculator, we find that n is approximately 25.59.
Therefore, it will take approximately 26 years for your uncle's funds to be exhausted and the account to reach zero.
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pls
help asap
How long will it take $1610.00 to accumulate to $1805.00 at 9% p.a. compounded semi-annually? State your answer in years and months (from 0 to 11 months). The investment will take year(s) and month(s)
The investment will take 2 years and 8 months to accumulate to $1805.00 at 9% p.a. compounded semi-annually.
Given,
P = $1610, R = 9% p.a., n = 2 compounding periods per year and Amount = $1805.
Then, we can use the formula for compound interest to find the time taken to accumulate $1805 on $1610. Calculation:
We have the following formula to find the compound interest:
FV = P(1 + R/n)^(n*t)
Here, FV = $1805
P = $1610
R = 9%
n = 2
We need to find t.
To solve for t, we need to rearrange the formula:
ln(FV/P) = n*t * ln(1 + R/n)t = [ln(FV/P)] / [n * ln(1 + R/n)]
Substituting the given values, we get:
t = [ln(1805/1610)] / [2 * ln(1 + 0.09/2)]
t = [ln(1.12298)] / [2 * ln(1.045)]
t = [0.11763] / [2 * 0.04243]
t = 1.388yr (1 year) and 0.388yr * 12 = 4.656 ≈ 5 months
Therefore, the time required for the investment to accumulate to $1805.00 is 2 years and 8 months.
Given,
P = $1610, R = 9% p.a., n = 2 compounding periods per year and Amount = $1805.
Then, we can use the formula for compound interest to find the time taken to accumulate $1805 on $1610.
We have the following formula to find the compound interest:
FV = P(1 + R/n)^(n*t)
Here, FV = $1805
P = $1610R = 9%
n = 2
We need to find t.
To solve for t, we need to rearrange the formula:
ln(FV/P) = n*t * ln(1 + R/n)
t = [ln(FV/P)] / [n * ln(1 + R/n)]
Substituting the given values, we get:
t = [ln(1805/1610)] / [2 * ln(1 + 0.09/2)]
t = [ln(1.12298)] / [2 * ln(1.045)]
t = [0.11763] / [2 * 0.04243]
t = 1.388yr (1 year) and 0.388yr * 12 = 4.656 ≈ 5 months
Therefore, the time required for the investment to accumulate to $1805.00 is 2 years and 8 months.
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Answering with one of the following:
O+ Cash Inflow from Operating Activities
O- Cash Outflow from Operating Activities
I+ Cash Inflow from Investing Activities
I- Cash Outflow from Investing Activities
F+ Cash Inflow from Financing Activities
F- Cash Outflow from Financing Activities
How do we record decrease in inventory?
______________________________________________
Answering with one of the following:
O+ Cash Inflow from Operating Activities
O- Cash Outflow from Operating Activities
I+ Cash Inflow from Investing Activities
I- Cash Outflow from Investing Activities
F+ Cash Inflow from Financing Activities
F- Cash Outflow from Financing Activities
How do we record increase in accounts payable?
______________________________________________
Answering with one of the following:
O+ Cash Inflow from Operating Activities
O- Cash Outflow from Operating Activities
I+ Cash Inflow from Investing Activities
I- Cash Outflow from Investing Activities
F+ Cash Inflow from Financing Activities
F- Cash Outflow from Financing Activities
How do we record amortization of an asset?
______________________________________________
Answering with one of the following:
O+ Cash Inflow from Operating Activities
O- Cash Outflow from Operating Activities
I+ Cash Inflow from Investing Activities
I- Cash Outflow from Investing Activities
F+ Cash Inflow from Financing Activities
F- Cash Outflow from Financing Activities
How do we record net income?
______________________________________________
Answering with one of the following:
O+ Cash Inflow from Operating Activities
O- Cash Outflow from Operating Activities
I+ Cash Inflow from Investing Activities
I- Cash Outflow from Investing Activities
F+ Cash Inflow from Financing Activities
F- Cash Outflow from Financing Activities
How do we record the proceeds from the issuance of new common shares?
A decrease in inventory and an increase in accounts payable are both recorded as O+ Cash Inflow from Operating Activities. This is because they both represent a temporary increase in cash.
A decrease in inventory means the company sold more products than it bought, so it has more cash on hand.
An increase in accounts payable means the company bought more products than it paid for, so it has more cash on hand.
Amortization of an asset and net income are both recorded as O- Cash Outflow from Operating Activities. This is because they both represent a decrease in cash.
Amortization of an asset is the gradual expensing of the cost of an intangible asset over its useful life. This reduces the company's net income, which means it has less cash on hand.
Net income is the total revenue of the company less all the expenses. If net income is negative, it means the company has lost money, which means it has less cash on hand.
The proceeds from the issuance of new common shares are recorded as F+ Cash Inflow from Financing Activities. This is because issuing new common shares is a form of financing for the company. It means the company is raising new capital by selling shares to the public, which increases its cash balance.
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barbara invested in the japanese stock market this year. Even if the Japanese stock market does not increase in value, Barbara could have a positive return if the Japanese yen depreciates barbara will definitely have a higher return than she would have had if she only invested in US stocks because she will benefit from diversification barbara could have a positive return if the Japanese yen appreciates the volatility of barbaras portfolio will be higher than if she had just invested in US stocks because she is now diversified
By investing in the Japanese stock market, Barbara could potentially achieve a positive return through currency exchange rate fluctuations and benefit from diversification. However, it is essential to consider the risks and volatility associated with investing in foreign markets.
Barbara's investment in the Japanese stock market can result in a positive return even if the market does not increase in value. This is because Barbara could benefit from the depreciation of the Japanese yen. Let's break this down step-by-step:
1. Diversification: By investing in the Japanese stock market, Barbara is diversifying her portfolio. Diversification means spreading investments across different assets or markets to reduce risk. If she only invested in US stocks, her returns would be solely dependent on the performance of the US stock market. However, by including Japanese stocks, Barbara can potentially mitigate the risk associated with investing in a single market.
2. Japanese yen depreciation: If the Japanese yen depreciates against the US dollar, Barbara would experience a positive return. This is because when she converts her Japanese stocks back into US dollars, she would receive more US dollars than what she initially invested. This exchange rate advantage can boost her overall return.
3. Volatility: It is important to note that by investing in the Japanese stock market, Barbara's portfolio would become more volatile compared to solely investing in US stocks. This is due to the fact that different markets have their own unique risks and fluctuations. However, diversification can help to offset some of this volatility.
In summary, by investing in the Japanese stock market, Barbara could potentially achieve a positive return through currency exchange rate fluctuations and benefit from diversification.
However, it is essential to consider the risks and volatility associated with investing in foreign markets.
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Recording Dividend Declaration Following are four separate dividend scenarios. a. On April 1, 2020, Meriter Corporation declared a cash dividend of $5.00 per share on its 12,800 outstanding shares of common stock ( $1 par). The dividend is payable on April 21, 2020, to stockholders of record on April 14, 2020. b. Axe Co. has issued and outstanding 400 shares of $100 par, cumulative, 5% preferred stock and 8,000 shares of $5 par common stock. Dividends are in arrears for the past year (not including the current year). On December 15,2020 , the board of directors of Axe Co. declared dividends of $10,000 to be paid to shareholders at the end of its fiscal year. c. Siri Corp. holds 400 shares of Mobile Co. common stock, purchased at the beginning of the year for $30 a share (carrying value on February 1 , 2020 ). On February 1, 2020, Siri Corp. declared a property dividend of 180 shares of Mobile Co. common stock when the shares were selling at $28 per share. d. Treck Corporation declared a common stock dividend of $18,000 on April 1, 2020. Treck Corporation announced to shareholders that 70% of the dividend amount was a return of capital. Required Cash Equipment Investment in Stock Dividends Payable Property Dividends Payable Preferred Stock Common Stock Common Stock Dividends Distributable Paid-in Capital in Excess of Par-Common Stock Paid-in Capital in Excess of Stated Value-Common Stock Paid-in Capital in Excess of Par-Preferred Stock Paid-in Capital-Retired Stock Paid-in Capital-Treasury Stock Retained Earnings Treasury Stock Legal Expense Unrealized Gain or Loss-Income N/A
We will debit the Dividends Payable account for $64,000 . We will credit the Cumulative Preferred Stock Dividends Payable account for $2,000. We will also credit the Common Stock Dividends Payable account for $8,000
We will debit the Investment in Stock account for $5,040. We will debit the Common Stock Dividends Distributable account for $18,000. We will also debit the Retained Earnings account for $42,000 ($18,000 / 0.7). We will credit the Common Stock account for $25,714
a. To record the cash dividend declared by Meriter Corporation on April 1, 2020, we will debit the Dividends Payable account for $64,000 ($5.00 x 12,800 shares). We will credit the Cash account for the same amount. This is because the company has declared a dividend but has not yet paid it to the shareholders.
b. To record the declaration of dividends by Axe Co. on December 15, 2020, we will debit the Dividends Payable account for $10,000. We will credit the Cumulative Preferred Stock Dividends Payable account for $2,000 ($100 par x 400 shares x 5%). We will also credit the Common Stock Dividends Payable account for $8,000 ($5 par x 8,000 shares). This is because the company has declared dividends for both preferred and common stock.
c. To record the property dividend declared by Siri Corp. on February 1, 2020, we will debit the Investment in Stock account for $5,040 ($28 x 180 shares). We will credit the Property Dividends Payable account for the same amount. This is because Siri Corp. declared a dividend in the form of shares of Mobile Co. common stock.
d. To record the common stock dividend declared by Treck Corporation on April 1, 2020, we will debit the Common Stock Dividends Distributable account for $18,000. We will also debit the Retained Earnings account for $42,000 ($18,000 / 0.7). We will credit the Common Stock account for $25,714 ($18,000 / 0.7). This is because Treck Corporation declared a dividend with 70% as a return of capital, reducing the Retained Earnings and increasing the Common Stock accounts.
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IHS, a tower building company, while MTN is a telecommunication company. Tower sharing is something that has become quite common in Africa. Good coverage of a mobile network is what brings telecommunication companies money, and in this case in 2014 the two companies decide to cooperate and $500 million is committed for tower upgrades in order to ensure profit for both partners.
a. Analyze the above international business cooperation with clarifying the competitive advantages and disadvantages of this cooperation.
b. Analyze the impact of these form of international business cooperation on BOP.
a. The international business cooperation between IHS, a tower building company, and MTN, a telecommunication company, in Africa involves tower sharing and a commitment of $500 million for tower upgrades in 2014. This cooperation brings both competitive advantages and disadvantages.
Competitive advantages:
1. Cost savings: Sharing towers allows both companies to reduce infrastructure costs by avoiding duplication and sharing maintenance expenses.
2. Improved coverage: Upgraded towers enhance network coverage, which is crucial for telecommunication companies to attract customers and generate revenue.
3. Increased efficiency: Cooperation allows for better utilization of resources and reduces time required for tower construction and upgrades.
Competitive disadvantages:
1. Reduced differentiation: Both companies may lose the opportunity to differentiate themselves based on their unique infrastructure or coverage.
2. Dependency: If one company faces issues or delays in tower upgrades, it may affect the other company's network coverage and performance.
3. Potential conflicts: There may be disagreements over tower usage, sharing arrangements, or maintenance responsibilities, which could lead to conflicts between the partners.
b. The form of international business cooperation, such as tower sharing, can have an impact on the Bottom of the Pyramid (BOP) population.
Impact on BOP:
1. Increased accessibility: Tower upgrades improve network coverage, making telecommunication services more accessible to the BOP population in remote or underserved areas.
2. Enhanced communication: Better network coverage enables the BOP population to stay connected, access information, and engage in economic activities more efficiently.
3. Economic empowerment : Improved telecommunication services can facilitate mobile banking, e-commerce, and entrepreneurship opportunities, contributing to the economic empowerment of the BOP.
Overall, this form of international business cooperation has the potential to bring benefits to both the companies involved and the BOP population by improving network coverage and facilitating communication and economic opportunities.
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Based on arguments made by Friedman and Fama, which of the following requirements must be fulfilled for noise traders to affect markets in equilibrium? Select all that apply. A. Noise traders must be able to survive economically for a significant period of time B. Technical trading must be profitable at least some of the time C. Noise trader behavior must be systematic D. All traders must be risk averse
According to arguments made by Friedman and Fama, the following requirements must be fulfilled for noise trader to affect markets in equilibrium:
B) Technical trading must be profitable at least some of the time and
C) Noise trader behavior must be systematic.
Friedman and Fama, two prominent economists, have discussed the impact of noise traders on market equilibrium. Noise trader refer to individuals who make trades based on non-fundamental factors, such as emotions or incomplete information. According to their arguments, two requirements must be met for noise traders to influence markets in equilibrium.
Firstly, technical trading, which involves using historical price patterns or other technical indicators to make investment decisions, must be profitable at least some of the time. If noise traders consistently generate profits through technical trading strategies, it can disrupt market efficiency and influence prices.
Secondly, noise trader behavior must exhibit systematic patterns. This means that noise traders' actions and decisions should not be random or unpredictable. If there are identifiable patterns in the behavior of noise traders, it can lead to price distortions and deviations from fundamental values.
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A $45-strike call option on a stock priced at $51.5 is priced at $8.00. This call has an intrinsic value of A) $5.00bty B) $8.00 C) $7.50 D) $1.50 E) $6.50
As the stock price is higher than the strike price, the intrinsic value is $6.50 and the correct answer is E) $6.50.
To determine the intrinsic value of the call option, we need to calculate the difference between the current stock price and the strike price.
The intrinsic value of a call option is calculated as the maximum of zero or the difference between the stock price and the strike price.
In this case, the strike price is $45, and the stock price is $51.5.
Intrinsic Value = Max(0, Stock Price - Strike Price)
Intrinsic Value = Max(0, $51.5 - $45)
Intrinsic Value = Max(0, $6.5).
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A loan where the borrower receives money today and repays only a single lump sum at some time in the future is called a(n) loan. Select one: a. amortized b. continuous c. balloon x d. pure discount e. interest-only f. recurring
A balloon loan is one in which the borrower obtains funds now and makes just one lump sum payment later on.
With a balloon loan, you can borrow more money and pay it back over a longer period of time than you would with a conventional loan.
Balloon payments are larger-than-usual payments that are made at the end of a mortgage term in order to cover the remainder of the principal owed on the loan. To put it another way, the term "balloon" refers to a large final payment due at the end of a loan term.
Amortized loan: Amortization is the process of dividing a loan into smaller payments that are paid over time. The borrower will pay interest plus a portion of the principal in each payment.
Interest-only loan: For a specified period, the borrower only pays the interest on the loan.
Pure discount loan: A pure discount loan is one in which the borrower repays only the principal.
Balloon loan: The borrower receives money today and pays only one lump sum in the future.
Recurring loan: A recurring loan is a loan that is available to the borrower on an ongoing basis.
Continuous loan: Continuous loan refers to a line of credit that is accessible to the borrower on a continuing basis.
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True or False
When you have assets with different lives you should use the
study period analysis to compute and chose the best
selection.
Suppose Robina Bank receives a deposit of $51,589 and the reserve requirement is 7%. Answer the questions using this information. Round your answers to two decimal places. What is the amount that Robina Bank must keep on hand as required by the Federal Reserve(Fed)? keep on hand:$ What is the amount that Robina Bank must have in excess reserves from this initial deposit? excess reserves:$ What is the total change in the MI money supply from this one deposit?
The total change in the MI money supply from this one deposit is $737,142.86.
Given:
A deposit of $51,589, Reserve requirement = 7%
To find: the amount that Robina Bank must keep on hand as required by the Federal Reserve(Fed)
Step 1: Calculate the amount that Robina Bank must keep as a reserve. The reserve requirement is given as 7% of the deposit. So, 7% of $51,589 is:
$$7\% \cdot 51,589 = 0.07 \cdot 51,589
= 3,611.23$$
Hence, Robina Bank must keep $3,611.23 on hand as required by the Federal Reserve(Fed). Therefore, the amount that Robina Bank must keep on hand is $3,611.23.
Step 2: Calculate the amount of excess reserves that Robina Bank must have. To calculate the excess reserves, subtract the required reserves from the deposit.
$$\text{Excess reserves } = \text{Deposit } - \text{ Required reserves }$$
$$\text{Excess reserves } = 51,589 - 3,611.23
= 47,977.77$$
Hence, the amount that Robina Bank must have in excess reserves from this initial deposit is $47,977.77.
Step 3: Calculate the total change in the MI money supply from this one deposit.
The money multiplier (m) is defined as the reciprocal of the reserve requirement (r).
$$m = \dfrac{1}{r}
= \dfrac{1}{0.07}
= 14.2857$$
Now, use the formula to calculate the total change in the MI money supply from this one deposit.
$$\text{Change in the MI money supply } = m \cdot \text{ Initial deposit }$$
$$\text{Change in the MI money supply } = 14.2857 \cdot 51,589
= 737,142.86$$
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Question 1 Listen
Amalgamated Industries 5.4% bonds pat interest annually. The bonds sell for $990 and have a par value of $1,000. If these bonds mature in 30 years, what is their yield to maturity?
5.47%
5.30%
5.85%
5.14%
6.02%
2:
Fish Company bonds have a face value of $1,000 and are currently quoted at 98.4% of par. The bonds pay $60 annually. What is the current yield on these bonds?
7.20%
6.10%
6.52%
6.71%
6.95%
Stingray Corporation's 5.1% bonds have a par value of $1,000 and pay interest semi- annually. If the bonds mature in 29 years and have a yield to maturity of 4.4%, how much should they sell for?
$980.37
$1,114.06
$1,024.94
$1,047.22
$1,147.48
In question 1, the closest option is 5.47%. In question 2, the current yield on the Fish Company bonds is approximately 6.10%. In question 3, the closest selling price for Stingray Corporation's 5.1% bonds is $1,024.94.
1: To calculate the yield to maturity for the Amalgamated Industries 5.4% bonds, we need to use a financial calculator or a spreadsheet function like Excel's RATE. However, since we don't have that capability here, I can provide you with the closest option from the given choices. The closest option is 5.47%.
2: The current yield on bonds is calculated by dividing the annual interest payment by the market price of the bonds and multiplying by 100. In this case, the annual interest payment is $60 and the market price is 98.4% of the face value ($1,000).
Current yield = (Annual interest payment / Market price) * 100
= ($60 / ($1,000 * 98.4%)) * 100
≈ 6.10%
Therefore, the current yield on the Fish Company bonds is approximately 6.10%.
3: To calculate the selling price of Stingray Corporation's 5.1% bonds, we can use the present value formula. The present value can be calculated by discounting the future cash flows (interest payments and the principal) using the yield to maturity as the discount rate.
Since the bonds pay interest semi-annually, the number of periods is twice the number of years to maturity (58 periods in this case). The interest payment per period is $1,000 * 5.1% / 2 = $25.50. The yield to maturity is given as 4.4%.
Using a financial calculator or spreadsheet function, the present value of the future cash flows can be calculated. Based on the given options, the closest answer is $1,024.94.
Therefore, the closest selling price for Stingray Corporation's 5.1% bonds is $1,024.94.
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a. Build a spreadsheet to calculate the convexity of a
5-year, 8% coupon bond making annual payments at the initial yield
to maturity of 10%.
b. What is the convexity of a 5-year zero-coupon
bond?
Spreadsheet Calculation for Convexity:Convexity is the second derivative of the bond price with respect to the yield and is a measure of the bond’s curvature.
The Excel formula for calculating convexity is = (sum of all the cash flows × each cash flow’s year-to-maturity × each cash flow’s year-to-maturity + each cash flow’s modified duration) / (1 + yield)2. The modified duration can be computed as follows modified duration = [(P- - P+) / (2 × P0 × ∆y)] where P- and P+ are bond prices at a yield of (y - ∆y) and (y + ∆y), respectively. P0 is the bond price at the current yield of y.b. Calculation of Convexity of a Zero-Coupon Bond.
The convexity of a zero-coupon bond is equal to its maturity since the cash flow is only received at the end of the life of the bond. As a result, the formula for convexity of a zero-coupon bond is equal to the maturity squared. Therefore, the convexity of a 5-year zero-coupon bond is (5 years)² or 25. The spreadsheet formula to calculate the convexity of a 5-year, 8% coupon bond making annual payments at the initial yield to maturity of 10% is shown below Hence, the convexity of the 5-year, 8% coupon bond making annual payments at the initial yield to maturity of 10% is 4.8889.
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)A manufacturing company has to produce and sell 230 items every month to break even. The company's fixed costs are $2,231.50 per month and variable costs are $11.00 per item. a. What is the total revenue at the break-even point? Round to the nearest cent b. What is the selling price per item? Round to the nearest cent
a. The total revenue at the break-even point is $4,761.50
b. The selling price per item is approximately $20.70
The total revenue at the break-even point can be calculated by multiplying the number of items produced and sold at the break-even point by the selling price per item. Since the break-even point is 230 items and the variable cost per item is $11.00, the total variable costs at the break-even point are 230 items * $11.00/item = $2,530.00. The fixed costs are given as $2,231.50 per month. Therefore, the total revenue at the break-even point is the sum of the fixed costs and the total variable costs: $2,231.50 + $2,530.00 = $4,761.50.
The selling price per item can be determined by dividing the total revenue at the break-even point by the number of items produced and sold at the break-even point. From part a, we know that the total revenue at the break-even point is $4,761.50 and the break-even quantity is 230 items. Therefore, the selling price per item is $4,761.50 / 230 items ≈ $20.70.
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Question 5. Suppose the market for watches has one dominant firm and 60 fringe firms. The market demand is Q = 1500-2P. The dominant firm has a constant marginal cost of 120 and no other cost. The fringe firms each have a marginal cost of MC₁ = 120+20q, and no other cost. Hint: this question is an example of price leadership by a dominant firm. a) What is the total supply curve for the 60 fringe firms? [2 marks] b) What is the dominant firm's demand curve. [2 marks] e) What is the profit maximizing quantity produced and price changed by the dominant firm? [4 marks] d) What is the profit of the dominant firm? [1 mark] e) What is the quantity produced and price charged by the 60 fringe firms all together? How about by each of the 60 firms? [3 marks]
The profit can be calculated as (p - mc) * q = (900 - 120) * 40 = 31,200.
a) the total supply curve for the 60 fringe firms is obtained by summing up the quantities supplied by each firm at a given price. it can be expressed as q = 60q, where q represents the quantity supplied by each fringe firm.
b) the dominant firm's demand curve is derived by subtracting the total quantity supplied by the fringe firms from the market demand. it can be expressed as qd = 1500 - 60q.
e) the profit-maximizing quantity produced by the dominant firm occurs where marginal cost (mc) equals marginal revenue (mr). to find the quantity, set mc = mr = p. solving this equation gives q = 40. the dominant firm sets the price by equating its quantity with market demand: p = 1500 - 60(40) = 900.
d) the profit of the dominant firm is determined by subtracting the total cost from the total revenue. since the dominant firm has no other costs and a constant marginal cost of 120, its profit can be calculated as profit = (p - mc) * q = (900 - 120) * 40 = 31,200.
e) the quantity produced by the 60 fringe firms altogether is equal to the total market supply, which is 60q = 60(40) = 2400. the price charged by the fringe firms is determined by the dominant firm's price leadership, so it is also 900. each of the 60 fringe firms produces q = 40 units and charges the same price of 900.
a) the total supply curve for the 60 fringe firms is obtained by adding up the individual quantities supplied by each firm at different prices. since there are 60 firms, the total supply is the sum of 60 identical quantities, resulting in q = 60q.
b) the dominant firm's demand curve is determined by subtracting the total quantity supplied by the fringe firms from the market demand. since the market demand is q = 1500 - 2p and there are 60 fringe firms with supply q = 60q, the dominant firm's demand curve is obtained by subtracting 60q from the market demand: qd = 1500 - 60q.
e) to determine the profit-maximizing quantity produced by the dominant firm, we set the marginal cost (mc) equal to the marginal revenue (mr). in this case, the marginal cost is constant at 120, and since the dominant firm is a price leader, its marginal revenue is equal to the price, denoted as p. setting mc = mr = p allows us to find the quantity q that maximizes the dominant firm's profit. by solving this equation, we find q = 40. the dominant firm then sets the price by equating its quantity with the market demand equation (1500 - 60q), which gives us p = 1500 - 60(40) = 900.
d) the profit of the dominant firm is determined by subtracting the total cost from the total revenue. in this case, the dominant firm has no other costs besides the constant marginal cost of 120. e) the quantity produced by the 60 fringe firms altogether is equal to the total market supply, which is 60q = 60(40) = 2400. since the dominant firm acts as a price leader, it sets the price at 900, which is the price charged by the fringe firms as well. each of the 60 fringe firms produces q = 40 units and charges the price set by
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Manufacturers have accommodated the need for switches to connect to a variety of 10 gbe connector types by devising which solution?
Manufacturers have addressed the need for switches to connect to various 10 GbE connector types by devising a standardized solution.
To accommodate the need for switches to connect with different types of 10 Gigabit Ethernet (GbE) connectors, manufacturers have devised a standardized solution. This solution involves the development and adoption of industry standards for connector types, ensuring compatibility and interoperability across different network devices. By adhering to these standards, manufacturers can produce switches with built-in support for multiple connector types, such as SFP+, XFP, or QSFP, among others.
This allows network administrators to choose the appropriate connector type for their specific networking needs, facilitating seamless connectivity between switches and other network devices. The standardized solution ensures flexibility, ease of integration, and wider options for network deployment and expansion.
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Labor, land, capital, and entrepreneurship
O Marginal Social Benefit (MSB)
Factors of production
Marginal Social Cost (MSC)
Factors of consumption
Question 26 (1 point)
A market structure where there is only one firm the market is the firm.
Monopoly
Oligopoly
Monopolistic competition
Duopoly
The factors of production are labor, land, capital, and entrepreneurship. The factor of production may also include technology or natural resources used to manufacture goods or services. Factors of production are used to provide products and services. They are categorized into two groups, including land, labor, capital, and entrepreneurship.
Entrepreneurship- Entrepreneurship refers to the ability of a person to convert an innovative idea into a successful business. It is the act of putting together land, labor, and capital to start and operate a business.
Labor - Labor is defined as the workforce or employees who offer their services to manufacture goods or provide services. It also refers to the effort and skill that individuals put into a job. In return, labor is rewarded with salaries, wages, or other benefits.
Capital - Capital refers to the financial and physical assets required for business operation, including machinery, equipment, buildings, and inventory. The availability of capital and its efficient utilization is essential in business operations.
Land - Land refers to all natural resources used to manufacture goods or services. It encompasses all resources that are not man-made, such as oil, gas, water, and other minerals. It also refers to the surface area, climate, and vegetation required to produce goods and services. Marginal Social Benefit (MSB) and Marginal Social Cost (MSC) are important in microeconomics and can influence market outcomes.
MSC is the cost incurred by the society or community as a result of producing one extra unit of a good or service, whereas MSB is the benefit acquired by the society or community as a result of producing one additional unit of a good or service. A market structure where there is only one firm in the market is a Monopoly. It is characterized by a single seller with absolute market power. The monopolistic firm is free to dictate the price of a product or service.
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A Polish currency dealer has good credit and can borrow either €1,600,000 or $2,000,000 for one year. The one-year interest rate in the U.S. is i$ = 6.25% and in the euro zone the one-year interest rate is i€ = 2%. The spot exchange rate is $1.20 = €1.00 and the one-year forward exchange rate is $1.25 = €1.00. Show how you can realize a certain euro profit via covered interest arbitrage.
A. Arbitrage opportunity does not exit
B. Borrow €1,600,000 at i€ = 2%; translate euros to dollars at the spot rate, invest dollars in the U.S. at i$ = 6.25% for one year; translate dollars back to $2,000,000 at the forward rate of $1.20 = €1.00. Net profit will be €2,000.
C. Borrow $2,000,000 at 6.25%; trade $2,000,000 for €800,000 at the spot rate; invest euros at i€ = 2%; translate euro proceeds back to dollars at the forward rate of $1.20 = €1.00. Net profit will be $17,600.
D. Borrow $2,000,000 at 6.25%; trade $2,000,000 for €1,666,667 at the spot rate; invest euros at i€ = 2%; translate euro proceeds back to dollars at the forward rate of $1.25 = €1.00 for gross proceeds of $2,125,000. Net profit will be $5,000
C. Borrow $2,000,000 at 6.25%; trade $2,000,000 for €800,000 at the spot rate; invest euros at i€ = 2%; translate euro proceeds back to dollars at the forward rate of $1.20 = €1.00. Net profit will be $17,600.
This strategy involves taking advantage of the interest rate differential and exchange rate movements to generate a profit. By borrowing in dollars at a lower interest rate, converting the borrowed amount to euros at the spot rate, and investing in euros at a higher interest rate, the investor can earn interest on the euro investment.
Finally, by converting the euro proceeds back to dollars at the forward rate, the investor realizes a net profit of $17,600.
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Endowment Economies There are two agents in our economy, A and B. The two agents have the same income (4,4) and the same utility function (where MU(C)=1/C each period). Agent A has ß=1 while agent B has p=0. 1. What is the tangency condition for each agent? (2 points) 2. Derive the intertemporal budget constraint (which is the same for both agents)? (2 points) 3. Derive each agent's consumption and saving functions. (4 points) 4. The equilibrium interest rate is 1+r=3. Solve for the consumption of each agent each period. (4 points) 5. Each agent has diminishing marginal utility, which means the marginal utility of the first unit is infinite. Given this, how is it possible for any agent with diminishing marginal utility to accept a consumption of zero in any period? (3 point)
Previous question
In an endowment economy with two agents, Agent A and Agent B, who have same income and utility function, consumption or saving functions, and solve for their consumption given an equilibrium interest rate.
1. The tangency condition for each agent is that the marginal utility of consumption (MU(C)) is equal to the price of consumption (p). For agent A, MU(C) = 1/C, and for agent B, MU(C) = 0 since p = 0.
2. The intertemporal budget constraint for both agents can be derived as follows: current consumption (C1) plus future consumption (C2) must equal total income (Y), which is the same for both agents. Therefore, C1 + C2 = Y.
3. Agent A's consumption and saving functions can be derived by maximizing utility subject to the budget constraint. Since agent A has ß = 1, their optimization problem is to maximize U(C1) + U(C2) subject to C1 + C2 = Y. The solution to this problem is that agent A consumes half of their income in each period: C1 = C2 = Y/2.
Agent B, on the other hand, has p = 0, which means they do not value future consumption at all. As a result, agent B consumes their entire income in the current period: C1 = Y and C2 = 0.
4. Given the equilibrium interest rate of 1+r = 3, Since both agents have the same income, agent A's consumption in each period is C1 = C2 = Y/2, which is equal to (4/2)/3 = 2/3. Agent B's consumption in the first period is C1 = Y = 4, and in the second period, C2 = 0.
5. Although agents have diminishing marginal utility, it is still possible for them to accept a consumption of zero in any period due to time preference and the trade-off between present and future consumption.
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The Aggregate Expenditure (AE) model is a short-run model. The Solow-Swan model is a longrun model. Yet both assume that there are no "idle funds", i.e. any funds not consumed are saved and automatically funneled into investment. How can this be possible given that there can be output gaps in the short run?
While it is true that both the Aggregate Expenditure (AE) model and the Solow-Swan model assume that any funds not consumed are saved and automatically invested, they differ in their treatment of output gaps and the time horizons they consider.
In the short run, the AE model focuses on the relationship between aggregate expenditure and output in a given period. It assumes that any difference between planned aggregate expenditure and actual output, resulting in an output gap, will lead to changes in inventories.
Firms adjust production levels in response to changes in aggregate demand, but they may not immediately adjust investment levels to match the savings.
On the other hand, the Solow-Swan model is a long-run model that analyzes economic growth and capital accumulation over time. It assumes that savings are automatically channeled into investment, contributing to capital formation and increasing output and productivity in the long run.
The model assumes that any savings not consumed are automatically invested, leading to increased capital stock and potential output.
So, while both models assume that savings are automatically funneled into investment, the short-run focus of the AE model allows for output gaps due to temporary imbalances between planned aggregate expenditure and actual output.
In the long run, the Solow-Swan model assumes that savings and investment are fully aligned, leading to sustained economic growth and no idle funds.
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: Casello Mowing & Landscaping's year-end 2021 balance sheet lists current assets of $437,100, fixed assets of $552,900, current liabilities of $418,500, and long-term debt of $318,300. Calculate Casello's total stockholders' equity. (Enter your answer in dollars. Round your answer to the nearest dollar amount.)
Given data are,Current assets = $437,100Fixed assets
= $552,900Current liabilities
= $418,500Long-term debt
= $318,300Total stockholders' equity can be calculated as follows,Total assets
= Current assets + Fixed assetsTotal assets
= $437,100 + $552,900Total assets
= $990,000Total liabilities
= Current liabilities + Long-term debtTotal liabilities
= $418,500 + $318,300Total liabilities
= $736,800We know that the total stockholders' equity can be calculated using the formula,Total stockholders' equity = Total assets - Total liabilitiesTotal stockholders' equity
= $990,000 - $736,800Total stockholders' equity
= $253,200Therefore, the total stockholders' equity is $253,200.
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As of the first quarter of 2009, the largest net lender to the economy was:
Select one:
OA. U.S. Govenrment
OB. The World Bank
C. U.S. Investment Banks
OD. The Federal Reserve
OE. U.S. Households
As of the first quarter of 2009, the largest net lender to the economy was U.S. Households. This may include details about the first quarter of 2009, which was a tough time for the US economy, with the housing bubble bursting and causing a ripple effect across several industries.
The economy was also experiencing a recession, which was the most severe since the Great Depression. During this time, various lenders and organizations were involved in lending to the economy, with US households coming out on top as the largest net lender. This is because during this period, many households decided to reduce their spending to build up savings and weather the economic storm. They were also repaying their debts, leading to an increase in household savings.
This resulted in a surplus, which helped them become the largest net lender to the economy.The other options in the question, such as the U.S. government, The World Bank, U.S. Investment Banks, and The Federal Reserve, were not the largest net lender during this period. The U.S. government was involved in different stimulus packages to help boost the economy and stabilize the markets. The Federal Reserve implemented several policies to help combat the recession and stabilize the economy.
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Your employer automatically puts 10 percent of your salary into a 401(k) retirement account each year. The account earns 7% annual interest compounded continuously. Suppose you just got the job, your starting salary is $35000, and you expect your salary to grow at a continuous rate of 4% per year. Find the value of your retirement account after 25 years Value =$
The value of the retirement account after 25 years is approximately $20,914.47.
The given details are:
Your employer automatically puts 10 percent of your salary into a 401(k) retirement account each year.The account earns 7% annual interest compounded continuously.
The starting salary is $35,000.The salary is expected to grow at a continuous rate of 4% per year.
The formula for continuously compounded interest is given as,
A = Pe^(rt),
where A is the final amount,
P is the principal amount,
r is the rate of interest, and
t is the time.
In this case,
P = 10% of $35,000 = $3500,
r = 7%, and
t = 25 years.
The formula for continuously compounded growth rate is given as,
A = Pe^(rt), where A is the final amount, P is the principal amount, r is the growth rate, and t is the time.
In this case,
P = $35,000, r = 4%, and t = 25 years.
Now, we can calculate the value of the retirement account after 25 years using the above formulas:
A = Pe^(rt)
A = $3500e^(0.07 × 25)
A = $3500e^(1.75)A ≈ $20,914.47
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The price of a three bedroom home in 1955 was $7,900. Suppose that the CPI of 1955 was 26.7. If the CPI of May 2022 is 291.4, calculate today's price of a 3 bedroom home.
today's price of a three-bedroom home is approximately $86,321.20.
To find the today's price of a three-bedroom home, which cost $7,900 in 1955 when CPI was 26.7, when the CPI of May 2022 is 291.4, we will use the concept of Inflation.
The formula to calculate inflation is, Inflation rate= ((CPI in year of interest - CPI in base year)/CPI in base year)*100We have to calculate the inflation rate between 1955 and May 2022
Inflation rate= ((291.4-26.7)/26.7)*100Inflation rate=987.08%
Therefore, the price of a three-bedroom home in 2022, given its price in 1955 ($7,900) and the CPI in 1955 (26.7), would be:
Price of a three-bedroom home in 2022 = $7,900*(1+987.08%)
Price of a three-bedroom home in 2022 = $86,321.20
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11. Amortization with Equal Payments [LO3] Prepare an amortization schedule for a five-year loan of $63,000. The interest rate is 8 percent per year, and the loan calls for equal annual payments. How much interest is paid in the third year? How much total interest is paid over the life of the loan?
The borrower pays $15,877.25 annually for five years on a $63,000 loan at an 8% interest rate. The total interest paid over the loan's duration is $13,026.24, with $1,745.25 paid in the third year.
An amortization schedule is a payment table that breaks down loan principal and interest over the duration of a loan. For this question, let's create an amortization schedule for a five-year loan of $63,000 that has an 8% annual interest rate and equal annual payments. To calculate equal annual payments, we will use the formula [tex]P = (r(PV))/(1 - (1+r)^{-n})[/tex], where P is the payment, r is the interest rate per period, PV is the present value of the loan, and n is the number of periods. [tex]P = (0.08 * 63,000)/(1 - (1.08)^{-5}) = $15,877.25[/tex]So the borrower will pay $15,877.25 each year for five years. Using this payment, we can prepare the following amortization table: At the end of the third year, the borrower has paid a total of $15,877.25 x 3 = $47,631.75. From this amount, the total principal paid is $15,877.25 x 3 = $47,631.75 - $63,000 = -$15,368.25. Since the total interest paid for the first three years is $22,745.25, the amount of interest paid in the third year is $22,745.25 - $21,000 = $1,745.25. To calculate the total interest paid over the life of the loan, we can simply add up the total interest paid for each year: $6,300 + $4,522.50 + $1,745.25 + $438.60 + $19.89 = $13,026.24.So, the amount of interest paid in the third year is $1,745.25, and the total interest paid over the life of the loan is $13,026.24.For more questions on interest rate
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In the competitive market for soybeans, there are 10,000 identical farmers. When the price is $12 per bushel, a single farmer maximizes profit by producing 100 bushels. What is the quantity supplied by the market when the price is $12
According to the question, the market would supply 1,000,000 bushels when the price is $12
In a market, buyers express their demand for a particular product or service by being willing to pay a certain price, while sellers offer their goods or services at a specific price. The interaction between buyers and sellers in the market determines the equilibrium price and quantity, based on the principles of supply and demand.
When the price is $12 per bushel, and assuming each of the 10,000 identical farmers maximizes profit by producing 100 bushels, the quantity supplied by the market can be calculated by multiplying the quantity produced by the number of farmers.
Quantity supplied by a single farmer = 100 bushels
Number of farmers = 10,000
Therefore, the quantity supplied by the market when the price is $12 would be:
Quantity supplied = Quantity supplied by a single farmer x Number of farmers
Quantity supplied = 100 bushels/farmer x 10,000 farmers
Quantity supplied = 1,000,000 bushels
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When heavy rain ruined the banana crop in Central America, the price of bananas rose from $0.60 a pound to $0.90 a pound. Growers sold fewer bananas, but their total revenue remained unchanged. By what percentage did the quantity demanded of bananas change? Is the demand for bananas elastic, unit elastic, or inelastic? The quantity of bananas ______ by ___ percent. ≫ Answer with a whole number. The demand for banana is ____
A. unit elastic B. elastic C. inelastic
The demand for banana is option C) inelastic The quantity of bananas demanded changed by 33.33% (rounding off the decimal to the nearest whole number) or 1/3 of its original amount.
When the price of bananas rose from $0.60 a pound to $0.90 a pound, the percentage change in price was:
(0.90 - 0.60)/0.60 = 0.50 or 50%.
Since the percentage change in quantity demanded is smaller than the percentage change in price, the demand for bananas is inelastic. If the percentage change in quantity demanded was greater than the percentage change in price, then the demand would have been elastic (more responsive to price changes).
If the percentage change in quantity demanded was exactly equal to the percentage change in price, then the demand would have been unit elastic.
An alternative way to determine the elasticity of demand is to use the following formula:
elasticity of demand = percentage change in quantity demanded / percentage change in price
Since the percentage change in quantity demanded is 33.33% and the percentage change in price is 50%, the elasticity of demand is:
elasticity of demand = 33.33% / 50%
= 0.67 or 2/3
This value is less than 1, which indicates that the demand for bananas is inelastic.
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