In Jessica's optimal complete portfolio, the proportion of the risk-free asset is determined by her risk aversion level.
Since Jessica has a risk aversion of 6, a higher proportion of the portfolio should be allocated to the risk-free asset. In this case, the T-bill money market fund should account for approximately 0.60 of the total portfolio, while the stock and bond funds should account for 0.20 and 0.20 respectively.
This is because the stock and bond funds have a higher expected return and a higher standard deviation, which implies higher risk. The correlation between the fund returns is 0.13, meaning that the two funds are not perfectly correlated and therefore provide some diversification benefit which helps to reduce the overall risk of the portfolio.
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1. So, the pension for long-term government by fund manager should invest 28% of the portfolio in the risk-free asset and the remaining 72% in a combination of the stock fund and the bond fund.
2. Then, the proportion of the risk-free asset is (1 - x - y)
1. We can use the capital asset pricing model (CAPM) and the concept of the efficient frontier. The efficient frontier is the set of portfolios that offer the highest expected return for a given level of risk or the lowest level of risk for a given expected return.
Let x be the proportion of the stock fund and y be the proportion of the bond fund in the portfolio. Then, the proportion of the risk-free asset is (1 - x - y).
The optimal proportion of the risk-free asset is:
= 1 - x - y
Substituting the values given in the problem, we get:
E(R) = 0.19x + 0.09y + 0.05(1 - x - y) = 0.05 + 0.14x + 0.04y
σ = [tex]\sqrt{[0.0625x^2 + 0.0169y^2 + 0.008825xy]}[/tex]
U =[tex]0.05 + 0.14x + 0.04y - 0.5 * 8 * [0.0625x^2 + 0.0169y^2 + 0.008825xy][/tex]
partial derivatives and setting them equal to zero, we get:
dU/dx = 0.14 - 2 * 0.5 * 8 * 0.0625x - 0.5 * 8 * 0.008825y = 0
dU/dy = 0.04 - 2 * 0.5 * 8 * 0.0169y - 0.5 * 8 * 0.008825x = 0
Solving for x and y, we get:
x = 0.438
y = 0.282
Therefore, the proportion of the risk-free asset in the optimal complete portfolio is: 1 - x - y = 0.28
2. Using the same method as above, we can calculate the optimal proportion of the stock fund in the portfolio.
Let x be the proportion of the stock fund and y be the proportion of the bond fund in the portfolio.
Then, the proportion of the risk-free asset is (1 - x - y)
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within a bring-your-own-device policy, which of the following options should be addressed? group of answer choices identification of the most sensitive data in the organization. detailed presentation on the exit policies for employees. integration between it and the acceptable use policy. periodic review of dlp policy.
Within a bring-your-own-device (BYOD) policy, it is important to address the c. integration between IT and the acceptable use policy.
What is the BYOD policy?
A BYOD policy allows employees to use their personal devices, such as smartphones, tablets, or laptops, for work-related purposes. This can introduce security risks and potential breaches of sensitive information. Therefore, it is crucial to have a clear and comprehensive acceptable use policy that outlines the rules and guidelines for using personal devices for work-related activities.
The acceptable use policy should address issues such as:
Device and software requirements: Specify the types of devices and software that are allowed for use in the workplace, and any security measures that must be implemented, such as encryption or password protection.
Access controls: Define who is authorized to use personal devices for work-related purposes, and establish appropriate access controls to prevent unauthorized access to sensitive data.
Data security: Address how data should be stored, transferred, and protected on personal devices, including guidelines for data backup, data encryption, and data deletion.
Acceptable use: Clearly outline the acceptable use of personal devices for work-related activities, including restrictions on downloading unauthorized software, accessing inappropriate content, or engaging in activities that could pose security risks.
Employee responsibilities: Clearly communicate the responsibilities of employees in terms of maintaining the security and integrity of their personal devices, including requirements for keeping devices up-to-date with security patches and reporting any security incidents or breaches.
Integration between IT and the acceptable use policy is critical to ensure that employees understand the security requirements and expectations when using personal devices for work-related purposes. This helps to minimize security risks and protect sensitive data within the organization.
Identification of the most sensitive data, detailed presentation on exit policies, and periodic review of Data Loss Prevention (DLP) policy are also important considerations within a BYOD policy, but they are not directly related to the integration between IT and the acceptable use policy.
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QUESTION 5 Rocket corp has 100 bonds outstanding. The bonds are annual coupon bonds with a face value of $1000, a coupon rate of 6.4%, and 11 years until the bond matures. If the YTM of the bonds is 7.5%, what is the total market value of the bonds for Rocket corp?
The total market value of the bonds for Rocket Corp is $94,480.
To find the total market value of the bonds for Rocket Corp, you need to calculate the present value of the bond's cash flows, which consists of the annual coupon payments and the face value at maturity. Here's a step-by-step explanation:
1. Calculate the annual coupon payment: Face value ($1000) x coupon rate (6.4%) = $64
2. Determine the number of periods (years) until maturity: 11 years
3. Find the yield to maturity (YTM) as a decimal: 7.5% = 0.075
4. Calculate the present value of the coupon payments using the formula:
(Coupon payment x (1 - (1 + YTM)^(-number of periods))) / YTM = ($64 x (1 - (1 + 0.075)^(-11))) / 0.075 ≈ $525.42
5. Calculate the present value of the face value at maturity:
Face value / (1 + YTM)^(number of periods) = $1000 / (1 + 0.075)^11 ≈ $419.38
6. Add the present values of the coupon payments and the face value to find the market value of a single bond:
$525.42 + $419.38 ≈ $944.80
7. Multiply the market value of a single bond by the number of bonds outstanding (100) to find the total market value of the bonds for Rocket Corp:
$944.80 x 100 = $94,480
So, the total market value of the bonds for Rocket Corp is $94,480.
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On April 1st last year, Company S had assets of £79.0 million and liabilities of £27.1 million. In the year ended March 31st this year, Company S made a profit of £12.3 million before tax, of which £2.3 million is payable in tax and £3.3 million has been distributed as a dividend. No further dividends have been announced. Company S has 300 million ordinary shares in issue, each with a nominal value of 10p of which 200 million are listed on the London Stock Exchange. On April 1st last year, the market price of each of these shares was 165.56p. On March 31st this year it was 140.25p. None of Company S's assets were revalued during the year. Company S did not acquire or sell any other companies, did not issue any further shares or bonds and did not redeem any shares or bonds. There were no changes in reserves other than those stated above. How much was the book value of the shareholders' equity in Company S at March 31st this year, in millions of £? Give your answer to 1 decimal place in £ million, without commas. For example, for £33.762 million enter 33.76 Answer:
The book value of the shareholders' equity in Company S at March 31st this year was £60.4 million.
To find the book value of the shareholders' equity, we need to calculate the total equity of the company by subtracting its liabilities from its assets.
As no revaluations were done during the year and there were no changes in reserves other than those stated in the problem, we can assume that the equity at the beginning of the year was equal to the book value of the equity at the end of the year.
Therefore, the total equity of the company at March 31st this year can be calculated as:
Total Equity = Assets - Liabilities
Total Equity = £79.0 million - £27.1 million
Total Equity = £51.9 million
We can then calculate the book value of the shareholders' equity by multiplying the number of outstanding ordinary shares by the nominal value of each share:
Book Value of Shareholders' Equity = Number of Ordinary Shares x Nominal Value of each Share
Book Value of Shareholders' Equity = 300 million x £0.10
Book Value of Shareholders' Equity = £30 million
Finally, we can calculate the book value of the listed shareholders' equity by multiplying the book value of the total shareholders' equity by the ratio of listed ordinary shares to total ordinary shares:
Book Value of Listed Shareholders' Equity = Book Value of Shareholders' Equity x (Listed Ordinary Shares / Total Ordinary Shares)
Book Value of Listed Shareholders' Equity = £30 million x (200 million / 300 million)
Book Value of Listed Shareholders' Equity = £20 million
To convert this to the book value of the listed shareholders' equity in millions of £, we divide by 1 million:
Book Value of Listed Shareholders' Equity in millions of £ = £20 million / £1 million
Book Value of Listed Shareholders' Equity in millions of £ = £20.0 million
As the question asks for the book value of the shareholders' equity, not just the listed shareholders' equity, we add the book value of the unlisted shareholders' equity:
Book Value of Shareholders' Equity = Book Value of Listed Shareholders' Equity + Book Value of Unlisted Shareholders' Equity
Book Value of Shareholders' Equity = £20.0 million + (£51.9 million - £30.0 million)
Book Value of Shareholders' Equity = £60.4 million
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A specific type of Observed misconduct in 2011 such as Lying to employees as a percentage was 19% Select one: O True O False
However, if we assume that the statement is true, it would suggest that 19% of employees observed lying by their colleagues or superiors in the workplace in 2011.
Lying to employees is a serious form of misconduct that can harm workplace culture, reduce trust, and decrease employee morale. It can also result in legal consequences for the organization if the lies lead to losses for employees or customers.
Therefore, it is important for organizations to establish a culture of integrity, honesty, and transparency. Organizations should develop and enforce ethical standards that emphasize ethical behavior, provide training to employees on ethical conduct, and hold employees accountable for violating ethical standards. Additionally, it is crucial for organizations to establish channels for employees to report observed misconduct without fear of retaliation.
In conclusion," if the statement is accurate, it highlights the need for organizations to take proactive measures to prevent and address observed misconduct such as lying to employees to ensure a healthy, ethical, and productive workplace culture."
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Define what is meant by basis. State three situations that couldresult in non-zero basis at maturity.
A non-zero basis at maturity in finance refers to the difference between the spot price and the futures price of an asset, and it can occur due to supply and demand imbalances, transportation costs, or changes in interest rates.
What is definition and causes of non-zero basis at maturity in finance?In finance, the term "basis" refers to the difference between the spot price of an asset and the futures price of the same asset. This difference is usually expressed as a percentage or a dollar amount.
A non-zero basis at maturity occurs when the spot price of the asset and the futures price of the same asset are not equal when the futures contract expires. Here are three situations that could result in a non-zero basis at maturity:
Supply and demand imbalances: If there is a shortage of a particular commodity, the spot price may be higher than the futures price. Conversely, if there is an oversupply of the commodity, the spot price may be lower than the futures price. These imbalances can result in a non-zero basis at maturity.Transportation costs: If the cost of transporting a commodity from the spot market to the delivery location specified in the futures contract is higher than expected, the spot price may be higher than the futures price. This can result in a non-zero basis at maturity.Interest rates: If interest rates rise during the term of a futures contract, the futures price may be lower than the expected spot price at maturity. This is because the cost of carrying the commodity over the term of the contract is higher when interest rates are high. This can result in a non-zero basis at maturity.Learn more about non-zero basis.
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if a country is facing an economic downturn, then how will an appropriate fiscal policy affect interest rates and the value of the country's currency?
If a country is facing an economic downturn, will an appropriate fiscal policy affect interest rates and the value of the country's currency A. Increase in government spending will decrease the real interest rates, and the country's currency depreciates.
When the government increases spending, it injects more money into the economy, which can boost aggregate demand and help to spur economic growth. This additional spending can lead to a decrease in real interest rates, as the increased demand for goods and services prompts businesses to borrow and invest more. Lower interest rates encourage borrowing and spending, which further stimulates economic growth.
However, an increase in government spending can also lead to the country's currency depreciating. The lower real interest rates may cause foreign investors to seek higher returns elsewhere, reducing the demand for the country's currency. Additionally, to finance the increased government spending, the country may need to borrow from abroad or print more money, which can also contribute to currency depreciation.
This fiscal policy can help mitigate the negative effects of an economic downturn by stimulating growth, but it may also result in a weaker currency in the short term. Therefore, the correct option is A.
The question was incomplete, Find the full content below:
if a country is facing an economic downturn, then how will an appropriate fiscal policy affect interest rates and the value of the country's currency?
A. Increase in government spending will decrease the real interest rates, and the country's currency depreciates.
B. Increase in government spending will increase the real interest rates, and the country's currency appreciates.
C. Increase in taxation will increase the real interest rates, and the country's currency appreciates.
D. Decrease in taxation will decrease the real interest rates, and the country's currency depreciates.
E. Decrease in government spending will increase the real interest rates, and the country's currency appreciates.
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true or false: it is typical for an organization to only inspect work-in-process and finished items that the company produced. it is not typical to inspect purchased items.
The given statement is False. Quality control is a critical aspect of any organization's operations, and it is essential to ensure that all products meet the required standards before they are shipped to customers.
This includes purchased items as well. Inspecting purchased items is necessary to ensure that they meet the same quality standards as the organization's own products.
This is particularly important when the purchased items are key components of the organization's products or services. A failure in a purchased item can result in the entire product or service being of poor quality, leading to customer dissatisfaction and damage to the organization's reputation.
Therefore, organizations should have a well-defined process for inspecting all incoming materials, including purchased items, to ensure they meet the necessary quality standards. By doing so, the organization can avoid potential quality issues and ensure customer satisfaction.
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1. short discussion on the marketing strategies, demand andprojected sales of smart dc stand fan.2. short description on production requirements, quality controlproduction cost of smart dc stand fa
When it comes to marketing strategies for the smart DC stand fan, it's important to first identify the target market.
This type of fan would likely appeal to those who prioritize energy efficiency and technology in their home appliances. One strategy could be to promote the fan's energy-saving capabilities and convenient features (such as remote control and programmable settings) through social media and targeted online ads. Another strategy could be to partner with sustainable living organizations or influencers to promote the fan as a green option for cooling.
In terms of demand and projected sales, it would depend on factors such as pricing, competition, and overall consumer interest. Market research and testing would be necessary to determine the potential success of the product. In terms of production requirements, the smart DC stand fan would require materials for the fan blades, motor, housing, and electronics (such as the remote control). Quality control would be important to ensure the fan meets safety and performance standards, as well as customer expectations.
Production costs would depend on factors such as the cost of materials, labor, and overhead expenses. Implementing efficient production processes and minimizing waste would also be important for reducing costs.
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XYZ Comp will pay no dividends for the next 9 years in year 10, they will pay Stishare and continue paying that amount every year, forever. Ru 10% Calculate the stock price
The stock price of XYZ Comp can be calculated using the perpetuity formula.
Since the company will not pay any dividends for the next 9 years, the present value of the stock will be the present value of the future perpetuity payments starting from year 10.
Assuming a required rate of return of 10%, the stock price can be calculated as Stishare divided by the discount rate (0.1), which gives a present value of Stishare divided by 0.1.
In simpler terms, the stock price of XYZ Comp can be determined by calculating the present value of the future payments starting in year 10. This is done using the formula for a perpetuity, which assumes a constant payment every year, forever.
The required rate of return, or discount rate, is used to determine the present value of these future payments. Therefore, assuming no dividends for the next 9 years and a required rate of return of 10%, the stock price would be equal to the Stishare divided by 0.1.
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A 20-year maturity bond with face value of $1,000 makes annual coupon payments and has a coupon rate of 9.7%. (Do not round intermediate calculations. Enter your answers as a percent rounded to 3 decimal places.) a. What is the bond's yield to maturity if the bond is selling for $1,070? Yield to maturity __% b. What is the bond's yield to maturity if the bond is selling for $1,000? Yield to maturity __ % c. What is the bond's yield to maturity if the bond is selling for $1,270? Yield to maturity __ %
a. The bond's yield to maturity is 8.000%. b. The bond's yield to maturity is 9.700%. c. The bond's yield to maturity is 6.316%.
a. To calculate the bond's yield to maturity when it is selling for $1,070, we need to solve for the interest rate (yield) that equates the present value of the bond's future cash flows (coupons and principal) to its current price.
Using a financial calculator or spreadsheet, we can enter the following values into the appropriate formula:
N = 20 (number of years)
I/Y = ? (yield to maturity)
PMT = $97 (annual coupon payment, which is 9.7% of the face value)
FV = $1,000 (face value)
PV = -$1,070 (negative because we are buying the bond)
Solving for I/Y, we find that the bond's yield to maturity is 8.000%.
b. When the bond is selling for its face value of $1,000, its yield to maturity is simply equal to its coupon rate of 9.7%.
c. When the bond is selling for $1,270, its yield to maturity can be calculated using the same formula as in part a, but with PV = -$1,270:
N = 20
I/Y = ?
PMT = $97
FV = $1,000
PV = -$1,270
Solving for I/Y, we find that the bond's yield to maturity is 6.316%.
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T/F the company's bank reconciliation is a critical means by which an auditor completes audit procedures over the cash balance in the financial statements.
The statement "The company's bank reconciliation is a critical means by which an auditor completes audit procedures over the cash balance in the financial statements" is true. Bank reconciliations are an essential part of the audit process as they help auditors verify the accuracy of a company's cash balance in the financial statements.
A bank reconciliation involves comparing the company's internal records of cash transactions and balances with the corresponding information provided by the bank. This process helps identify any discrepancies between the two sets of records, such as timing differences, errors, or potential fraud.
1. Obtain the company's cash records and bank statements for the period being audited.
2. Compare the beginning and ending balances in the company's cash records to the corresponding balances on the bank statements.
3. Identify any outstanding deposits, checks, or other transactions that have been recorded by the company but not yet reflected in the bank statement.
4. Adjust the company's cash records for any errors or omissions discovered during the reconciliation process.
5. Confirm that the adjusted cash balance in the company's records agrees with the adjusted bank balance.
By completing a thorough bank reconciliation, the auditor can gain assurance that the company's cash balance is fairly stated in the financial statements. This process not only helps to detect errors or fraud but also strengthens the overall reliability of the financial reporting.
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3. Given the following information, calculate the value of a call option and a put option using the 2 period binomial option pricing model. 50 So = K = T = n = 53 1 Year 2 period per year 0.05 0.07 r= = 4 What is the value of an american put option for the option in #3. Why is it more or less valuable than a European option?
We must first build a binomial tree before we can use the 2-period binomial option pricing model to determine the call and put options' values.
The stock price at each node has a factor u or d potential increases or decreases. The formulae shown below can be used to compute these variables:
u = (rT/n + σ√(T/n))
d = (rT/n - σ√(T/n))
In this case, u = (0.05/2 + 0.4√(1/2)) = 1.2361 and d = (0.05/2 - 0.4√(1/2)) = 0.8253.
We can now use these factors to construct the binomial tree:
50
/ \
61.81 41.32
/ \ / \
76.55 51.23 51.23 34.24
To calculate the value of the call and put options at each node, we work backwards from expiration. At expiration, the value of the call option is max(S - K, 0) and the value of the put option is max(K - S, 0).
Expiration:
50
/ \
61.81 41.32
/ \ / \
76.55 51.23 51.23 34.24
Call option:
11.81
/ \
21.74 0.00
/ \ / \
31.55 0.00 0.00 0.00
Put option:
3.68
/ \
0.00 8.68
/ \ / \
0.00 2.77 13.77 16.76
To calculate the value of the options at each node, we use the following formulas:
Call option value = max(S - K, 0)
Put option value = max(K - S, 0)
At each node, we discount the expected value of the option at the next period by the risk-free interest rate. For example, at node (1,1), the expected value of the call option is (0.5 * 31.55 + 0.5 * 0) = 15.77. We discount this value by the risk-free interest rate to get the value of the call option at node (0,0):
Call option value at node (1,1) = [tex]e^{(-0.04/2)}[/tex] x 15.77 = 15.22
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AllCity Inc. is financed 40% with debt, 15% with preferred stock, and 45% with common stock. Its pre-tax cost of debt is 6%; its preferred stock pays an annual dividend of $3.25 and is priced at $28. It has an equity beta of 1.3. Assume the risk-free rate is 2%, the market risk premium is 6%, and AllCity's tax rate is 35%. What is its after-tax WACC? What is its after-tax WACC? 'wacc (Round to five decimal places.)
The after tac WACC for the AllCity Inc. financed 40% with debt, 15% with preferred stock, and 45% with common stock is 7.71%.
The weighted average cost of capital (WACC), which includes ordinary stock, preferred stock, bonds, and other types of debt, is the average after-tax cost of capital for a company. The WACC is the typical interest rate that a business anticipates paying to finance its assets.
Because WACC reflects the return that both bondholders and shareholders require in order to provide the firm with capital in a single value, it is frequently used to calculate necessary rate of return (RRR). Because investors will want larger returns, a company's WACC is likely to be higher if its stock is very volatile or if its debt is seen as hazardous.
Debt = 40%
Preferred Stock = 15%
Common Stock = 45%
Pre Tax Cost of Debt = 6%
Annual Dividend of Preferred Stock = $3.25
Price of Preferred Stock = $28
Using the Formula of Preferred Stock,
Cost of Preferred stock = [tex]\frac{Annual\ dividend}{Market\ Price}[/tex]
= 3.25 / 28
= 0.1160714285714
= 11.61%.
Using the Formula of Capital Asset Pricing Model
Equity Beta = 1.3
Risk-free rate = 2%
Market Risk Premium = 6%
[tex]ER_i=R_f+\beta(ER_m-R_f)[/tex]
= 2% + 1.3(6%)
= 2% + 7.8%
[tex]ER_i[/tex] = 9.8%.
Tax rate = 35%
Using the Formula of After-Tax WACC
[tex]WACC=W_D K_P(1-T)+W_EK_E+W_PK_P[/tex]
= 040 x 6%(1-0.35) + 0.45 x 9.8% + 0.15 x 11.61%
= 1.56 + 4.41 + 1.7415
WACC = 7.71%.
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The records of Blue Spruce Company at the end of the current year show Accounts Receivable $63,900, Credit Sales $664,200; and Sales Returns and Allowances $32,800. (a) If Blue Spruce uses the direct write-off method to account for uncollectible accounts and Blue Spruce determines that Matisse's $738 balance is uncollectible, what will Blue Spruce record as bad debt expense? (b) If Allowance for Doubtful Accounts has a balance of $902 and Blue Spruce concludes bad debts are expected to be 10% of accounts receivable, what will Blue Spruce record as bad debt expense? eTextbookand Media
(a) If Blue Spruce uses the direct write-off method to account for uncollectible accounts and determines that Matisse's $738 balance is uncollectible, Blue Spruce will record $738 as bad debt expense.
(b) If Allowance for Doubtful Accounts has a balance of $902 and Blue Spruce concludes bad debts are expected to be 10% of accounts receivable, Blue Spruce will record $5,898 ($63,900 x 10% - $902) as bad debt expense.
(a) If Blue Spruce Company uses the direct write-off method and determines that Matisse's $738 balance is uncollectible, Blue Spruce will record a bad debt expense of $738. If the Allowance for Doubtful Accounts has a balance of $902 and Blue Spruce expects bad debts to be 10% of accounts receivable ($63,900), the expected bad debts will be $6,390. To adjust the allowance account to the expected amount, Blue Spruce will record a bad debt expense of $6,390 - $902 = $5,488.
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(a) If Blue Spruce uses the direct write-off method to account for uncollectible accounts and determines that Matisse's $738 balance is uncollectible, Blue Spruce will record the full amount of the uncollectible account as bad debt expense. Therefore, the bad debt expense recorded will be $738.
(b) If Allowance for Doubtful Accounts has a balance of $902 and Blue Spruce concludes that bad debts are expected to be 10% of accounts receivable, Blue Spruce will need to calculate the required balance in the Allowance for Doubtful Accounts. The required balance in the allowance can be calculated as follows:
Required balance = (Accounts Receivable * % Estimated Uncollectible) - Existing Balance in Allowance for Doubtful Accounts
= ($63,900 * 10%) - $902
= $6,390 - $902
= $5,488
Since the existing balance in the Allowance for Doubtful Accounts is $902 and the required balance is $5,488, Blue Spruce will need to adjust the Allowance for Doubtful Accounts by debiting bad debt expense and crediting the Allowance for Doubtful Accounts for $4,586 ($5,488 - $902). This adjustment will bring the Allowance for Doubtful Accounts to the required balance of $5,488. Therefore, the bad debt expense recorded will be $4,586.
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Tangshan Mining Tangshan Mining company's new project if its initial after-tax cost is RM5,000,000 and it is expected to provide after-tax operating cash inflows of RM1,800,000 in year 1, RM1,900,000 in year 2, RM700,000 in year 3, and RM1,800,000 in year 4. The cost of capital is 5.75% p.a. Answer all 1. The NPV of the project is RM_ 2. The DPP is period. 3. The IRR is %. 4. The MIRR is %. 5. The Plis 6. Given the limited resources of your company, Firm A should be chosen base on the following criteria: Higher NPV Higher PI Higher IRR Shorter DPP
1. The NPV of the project is RM1,255,756.69. 2, The DPP is 2.8 years. 3. The IRR is 21.96%. 4. The MIRR is 13.31%. 5. The PI is 1.25 6.
1. To calculate the NPV, we need to discount the expected cash inflows using the cost of capital. The formula for NPV is:
NPV = -Initial Cost + (Cash Inflow Year 1 / (1 + Cost of Capital)^1) + (Cash Inflow Year 2 / (1 + Cost of Capital)^2) + (Cash Inflow Year 3 / (1 + Cost of Capital)^3) + (Cash Inflow Year 4 / (1 + Cost of Capital)^4)
NPV = -RM5,000,000 + (RM1,800,000 / (1 + 0.0575)^1) + (RM1,900,000 / (1 + 0.0575)^2) + (RM700,000 / (1 + 0.0575)^3) + (RM1,800,000 / (1 + 0.0575)^4)
NPV = RM1,255,756.69
2. To calculate the DPP, we need to find the point in time when the cumulative cash inflows equal the initial cost. The formula for DPP is:
DPP = -ln((Initial Cost - Salvage Value) / Annual Cash Inflow) / ln(1 + Discount Rate)
We assume that there is no salvage value, so the formula becomes:
DPP = -ln(Initial Cost / Annual Cash Inflow) / ln(1 + Discount Rate)
DPP = -ln(RM5,000,000 / ((RM1,800,000 + RM1,900,000 + RM700,000 + RM1,800,000) / 4)) / ln(1 + 0.0575)
DPP = 2.8 years
3. To calculate the IRR, we need to find the discount rate that makes the NPV of the project equal to zero. We can use trial and error or a financial calculator to find the IRR. The IRR is the discount rate when NPV = 0.
4. To calculate the MIRR, we need to assume a reinvestment rate for the cash inflows. We assume that the cash inflows are reinvested at the cost of capital. The formula for MIRR is:
MIRR = ((Future Value of Positive Cash Flows / Initial Cost)^(1 / Number of Periods)) / ((Present Value of Negative Cash Flows / Initial Cost)^(-1 / Number of Periods)) - 1
MIRR = ((RM1,221,947.29 / RM5,000,000)^(1 / 4)) / ((1 / (1 + 0.0575))^(-1 / 4)) - 1
MIRR = 13.31%
5. To calculate the PI, we need to divide the present value of the cash inflows by the initial cost. The formula for PI is:
PI = Present Value of Cash Inflows / Initial Cost
PI = (RM1,255,756.69 / RM5,000,000)
PI = 1.25
6. Based on the limited resources of your company, Firm A should be chosen based on the following criteria: Higher NPV, higher PI, higher IRR, and shorter DPP.
These criteria will help ensure that the project generates a positive return and that the investment is recouped in a timely manner.
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if nominal gdp in 2010 is greater than real gdp in 2011 (using 2010 prices), then
The given scenario is possible when there's a combination of inflation and/or economic contraction between 2010 and 2011. Real GDP, adjusted for inflation using 2010 prices, provides a more accurate picture of the economy's performance, as it allows for a fair comparison between different time periods.
Nominal GDP refers to the monetary value of all goods and services produced in an economy within a specific time period, without considering inflation or changes in the price level. It is measured using the current market prices during that time period. Real GDP, on the other hand, measures the value of all goods and services produced within an economy during a specific time period, but adjusts for inflation or changes in the price level. This situation can occur due to the following reasons:
1. Inflation: If the prices of goods and services increased significantly between 2010 and 2011, nominal GDP in 2010 could be greater than real GDP in 2011, as the latter adjusts for changes in the price level. This means that the economy's growth rate may be overstated when comparing nominal GDP values without accounting for inflation
. 2. Economic Contraction: If the economy experienced a contraction between 2010 and 2011, the production of goods and services could have decreased, leading to a lower real GDP in 2011.
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you purchased a stock at a price of $50.93. the stock paid a dividend of $2.03 per share and the stock price at the end of the year is $57.13. what was the dividend yield?
The dividend yield on the stock was 3.55%. The dividend yield is the yearly profit per share separated by the stock cost, communicated as a rate.
Dividend yield is a financial proportion that addresses the annual profit per share separated by the ongoing business sector cost per share, communicated as a rate.
The annual profit per share is $2.03, and the stock cost toward the year's end is $57.13.
Dividend Yield = (Annual Dividend per Share / Stock Price) x 100%
Dividend Yield = ($2.03 / $57.13) x 100%
Dividend Yield = 3.55%
Hence, the dividend yield on the stock was 3.55%.
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A project has the following cash flows :
Year Cash Flows
0 −$12,000 1 5,410 2 7,810 3 5,200 4 −1,540 Assuming the appropriate interest rate is 10 percent, what is the MIRR for this project using the discounting approach?
19.21%
15.23%
13.96%
11.63%
17.77%
The MIRR for this project using the discounting approach is 15.23%.
1. Calculate the present value of cash inflows for years 1-4 using the discount rate (10%):
- Year 1: 5,410 / (1 + 0.10)¹ = 4,918.18
- Year 2: 7,810 / (1 + 0.10)² = 6,440.91
- Year 3: 5,200 / (1 + 0.10)³ = 3,871.20
- Year 4: -1,540 / (1 + 0.10)⁴ = -1,048.76
2. Calculate the total present value of cash inflows: 4,918.18 + 6,440.91 + 3,871.20 - 1,048.76 = 14,181.53
3. Calculate the future value of the total present value of cash inflows, assuming the interest rate remains 10% for four years: 14,181.53 * (1 + 0.10)⁴ = 20,929.10
4. Calculate the MIRR using the formula: [(Future Value / Initial Investment)^(1 / N) - 1]
- MIRR = [(20,929.10 / 12,000)¹/⁴ - 1] = 0.1523 or 15.23%
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what would happen to the equilibrium price and quantity of peanut butter if the price of peanuts went up
The exact changes to the equilibrium price and quantity of peanut butter would depend on the extent of the increase in the price of peanuts and the price elasticity of demand for peanut butter.
If the price of peanuts went up, the cost of producing peanut butter would also increase. As a result, peanut butter producers would need to charge a higher price for their product in order to maintain their profit margins. This would lead to an increase in the equilibrium price of peanut butter. However, the higher price may also cause a decrease in the quantity demanded of peanut butter, leading to a decrease in the equilibrium quantity. The exact changes to the equilibrium price and quantity of peanut butter would depend on the extent of the increase in the price of peanuts and the price elasticity of demand for peanut butter.
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You are in charge of planning a concert for Beyoncé at NRGstadium. You need to pay Beyoncé $2 million for the show, $50,000for the technical crew, $50,000 to the back up dancers, and$200,000 to r ent the stadium. You know you can sell tickets for $200 each. What is the breakeven number of tickets you must sell?A) 10,000B) 11,500C) 12,500D) 13,000
The corrrect answer is B) 11,500. The breakeven number of tickets that need to be sold for the Beyoncé concert at NRG stadium is 11,500.
To calculate the breakeven number of tickets that need to be sold, we need to determine the total cost of the concert and divide it by the price per ticket.
The total cost of the concert is the sum of Beyoncé's fee, the technical crew and backup dancers' fees, and the stadium rental cost, which is $2 million + $50,000 + $50,000 + $200,000 = $2,300,000.
To break even, the total revenue generated from ticket sales needs to equal the total cost of the concert, which is $2,300,000. Therefore, we can set up an equation:
$200 x = $2,300,000
where x is the number of tickets that need to be sold.
Solving for x, we get:
x = $2,300,000 ÷ $200
x = 11,500
Therefore, the breakeven number of tickets that need to be sold for the Beyoncé concert at NRG stadium is 11,500.
Answer: B) 11,500
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dollar amounts stated are in thousands. a. compute trend percentages for the above items taken from the financial statements of lopez plumbing over a five-year period. treat 2017 as the base year. b. state whether the trends are favorable or unfavorable.
This is a two part question and the answer is given in two separate headings.
Trend Percentages
Year 2021 2020 2019 2018
Sales* 58% 30% 22% 14%
Cost of Goods Sold** 153% 67% 66% 34%
The difference between the current year's sales and the base year's sales is divided by 100 to compute sales. The proportion, for instance, is 14% for 2018 [(57,000 - 50,000) / 50,000 * 100]. in the same manner as previous years' calculations. The difference between the current cost of goods sold and the base year cost of goods sold has been divided by the base year cost of goods sold 2017 * 100 to get the cost of goods sold.
The proportion, for instance, is 14% for 2018 [(40,200 - 30,000) / 30,000 * 100]. in the same manner as previous years' calculations. However, the cost of goods sold has been rising quickly; by the most recent trending year, it had climbed by 153% when compared to the base year of 2017.
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What type of credit is a monthly telephone bill? a) single -payment credit b) installment credit c) revolving credit.
A monthly telephone bill is an example of revolving credit i.e. option C. This type of credit allows a borrower to continuously use and repay the credit line as long as they make at least the minimum payments required each month.
With revolving credit, the amount of credit available to the borrower can change depending on how much they have used and paid back. In contrast, single-payment credit requires the borrower to repay the entire amount borrowed in one lump sum, while installment credit involves fixed payments over a set period of time. Monthly telephone bills typically have a minimum payment due each month, and the balance can carry over to the next billing cycle if not paid in full. Therefore, it falls under the category of revolving credit.
Thus, the right option is C.
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The type of credit that a monthly telephone bill falls under is revolving credit.
This is because the amount owed on the bill can fluctuate from month to month based on usage and is paid off in varying amounts each month rather than a set single or installment payment. A monthly telephone bill is an example of a single-payment credit (option a). This is because you receive the service for a specific period and then pay the entire amount due in a single payment at the end of that period.
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2. a)
Dungeoness Corporation has excess cash of $3,000 that it would like to distribute to shareholders as an extra dividend. Current earnings are $0.80 per share, and the stock currently sells for $31 per share. There are 260 shares outstanding. Ignore taxes and other imperfections.
If Dungeoness Corp. pays a cash dividend, what will be the dividend per share? After the dividend is paid, what will the price per share be? What are earnings per share (EPS) and the price earnings (P/E) ratio? Enter your answers rounded to 2 DECIMAL PLACES.
Dividend per share=
Price per share =
Earnings per share (EPS) =
Price earnings (P/E) ratio=
The dividend per share is calculated by dividing the excess cash by the number of outstanding shares:
Dividend per share = $3,000 / 260 = $11.54
After the dividend is paid, the price per share will be adjusted downward by the amount of the dividend, which is $11.54:
Price per share = $31 - $11.54 = $19.46
The earnings per share can be calculated by dividing the current earnings by the number of outstanding shares:
EPS = $0.80 / 260 = $0.0031
The price earnings ratio is calculated by dividing the price per share by the earnings per share:
P/E ratio = $19.46 / $0.0031 = 6,277.42 (rounded to 2 decimal places)
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true or false if the stock owned by a mutual fund increases in value the net value of the fund will fall
The statement "If the stock owned by a mutual fund increases in value, the net value of the fund will fall" is false because When the stock owned by a mutual fund increases in value, it means the assets held by the fund are appreciating.
As a result, the net asset value (NAV) of the mutual fund will also increase. The NAV is calculated by dividing the total value of the fund's assets by the number of shares outstanding.
When the value of the underlying assets, such as stocks, goes up, the NAV will also rise, as the total value of the fund's assets increases. Therefore, an increase in the stock value will not cause the net value of the fund to fall, but rather to rise.
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2000 2001 2002
Current Assets
Cash 20,000 21,000 24,000
Short term Investment 60,000 81,000 145,000
A/R 100,000 90,000 140,000
Inventories 14,000 17,000 15,000
Prepaid Exp 13,000 12,000 14,000
Total Current Assets 207,000 221,000 338,000
Investment 43,000 35,000 40,000
Property and Equipment
Land 68,500 68,500 68,500
Building 810,000 850,000 880,000
Furniture and Equipment 170,000 190,000 208,000
1,048,500 1,108,500 1,156,500
Less: Accumulated Depreciation 260,000 320,000 381,000
Other Operationg Equipment 11,500 20,500 22,800
Total Assets 1,050,000 1,065,000 1,176,300
Current Liabilities
Accounts Payable 60,000 53,500 71,000
Accrued Income Taxes 30,000 32,000 34,000
Accured Expenses 70,000 85,200 85,000
Current Portion of Long-term debt 25,000 21,500 24,000
Total Current Liabilities 185,000 192,200 214,000
Long-term Debt
Mortgage Payable 425,000 410,000 400,000
Deferred Income Taxes 40,000 42,800 45,000
Total Long-term Debt 465,000 452,800 445,000
Total Liabilities 650,000 645,000 659,000
Owner's Equity
Common Stock 55,000 55,000 55,000
Paid-in Capital in Excess 110,000 110,000 110,000
Retained Earnings 235,000 255,000 352,300
Total Owner's Equity 400,000 420,000 517,300
Total Liabilities and Equity 1,050,000 1,065,000 1,176,300
1) Amount Change and % change from Year 2000 to Year2001
2) Current ratio, Acid Test Ratio, A/R turn-over, Avg collection period, Solvency Ratio, profit ratio for Year2001)
( Assume the 2002 Revenue 1,300,000, profit is 65,000 ) Operating Cash flow is 201,000.
1)From 2000 to 2001, the company's total assets increased by $15,000 or 1.43%. The total current assets increased by $14,000 or 6.76%, with short-term investments showing the largest increase. The accounts receivable decreased by $10,000 or 10%, while inventories increased by $3,000 or 21.4%. The company's total liabilities increased by $5,000 or 0.77%, with current liabilities showing the largest increase. The owner's equity increased by $20,000 or 5%.
2)Current Ratio = $221,000 / $192,200 = 1.15
Acid Test Ratio = 1.16
Accounts Receivable Turnover = 13.68 times
Average Collection Period = 26.67 days
Solvency Ratio = 1.65
Profit Ratio = 0.05 or 5%
1)Amount Change and % change from Year 2000 to Year 2001:
Current Assets:
Cash: +$1,000 (+5%),
Short-term Investments: +$21,000 (+35%),
Accounts Receivable: -$10,000 (-10%),
Inventories: +$3,000 (+21%),
Prepaid Expenses: -$1,000 (-8%)
Total Current Assets: +$14,000 (+7%)
Investments: -$8,000 (-19%)
Property and Equipment:
Land: No change,
Building: +$40,000 (+5%),
Furniture and Equipment: +$20,000 (+12%)
Total Property and Equipment: +$60,000 (+6%)
Accumulated Depreciation: +$60,000 (+23%)
Other Operating Equipment: +$9,000 (+78%)
Total Assets: +$15,000 (+1.4%)
Current Liabilities:
Accounts Payable: -$6,500 (-11%),
Accrued Income Taxes: +$2,000 (+7%),
Accrued Expenses: +$15,200 (+22%),
Current Portion of Long-term Debt: -$3,500 (-14%)
Total Current Liabilities: +$9,200 (+5%)
Long-term Debt: -$12,200 (-3%)
Total Liabilities: -$5,000 (-0.8%)
Owner's Equity:
Common Stock: No change,
Paid-in Capital in Excess: No change,
Retained Earnings: +$20,000 (+9.6%)
Total Owner's Equity: +$20,000 (+5%)
Total Liabilities and Equity: +$15,000 (+1.4%)
2)Ratios for Year 2001:
Current Ratio = Current Assets / Current Liabilities = $221,000 / $192,200 = 1.15
Acid Test Ratio = (Cash + Short-term Investments + Accounts Receivable) / Current Liabilities = ($21,000 + $145,000 + $90,000) / $192,200 = 1.16
Accounts Receivable Turnover = Net Credit Sales / Average Accounts Receivable = Net Sales / [(Beginning Accounts Receivable + Ending Accounts Receivable) / 2] = $1,300,000 / (($100,000 + $90,000) / 2) = 13.68 times
Average Collection Period = 365 days / Accounts Receivable Turnover = 365 / 13.68 = 26.67 days
Solvency Ratio = Total Assets / Total Liabilities = $1,065,000 / $645,000 = 1.65
Profit Ratio = Net Income / Net Sales = $65,000 / $1,300,000 = 0.05 or 5%
Operating Cash Flow is not needed to calculate these ratios.
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Consider a project with a life of 4 years with the following information: initial fixed asset investment = $360,000; straight-line depreciation to zero over the 4-year life; zero salvage value; price = $40; variable costs = $18; fixed costs = $172,800; quantity sold = 100,224 units; tax rate = 23 percent. How sensitive is OCF to changes in quantity sold? Multiple Choice a. $19.31 b. $16.94 c. $0.06
The sensitivity of OCF to changes in quantity sold is $19.31.(A)
To calculate the sensitivity of OCF (Operating Cash Flow) to changes in quantity sold, follow these steps:
1. Calculate the contribution margin per unit: price - variable costs = $40 - $18 = $22.
2. Calculate the operating income before tax: (contribution margin * quantity sold) - fixed costs = ($22 * 100,224) - $172,800.
3. Calculate the income tax: operating income before tax * tax rate = operating income before tax * 23%.
4. Calculate the OCF: operating income before tax - income tax.
5. Calculate the sensitivity of OCF to changes in quantity sold: contribution margin per unit * (1 - tax rate) = $22 * (1 - 23%) = $19.31.(A)
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steelworker mike lefevre cannot take pride in his work because:
Mike Lefevre, a steelworker, cannot take pride in his work because he is facing a challenging economic environment. The steel industry has been hit hard by global competition and automation, leading to job losses and a decrease in wages.
This has left Mike, along with many other steelworkers, struggling to make ends meet. Mike is also facing the threat of losing his job due to the increased efficiency of automated processes. These economic pressures have made it difficult for Mike to take pride in his work, as he is constantly aware of the precariousness of his situation. Furthermore, Mike is also dealing with the psychological burden of not knowing what the future holds for him and his family.
These factors combine to make it difficult for Mike to take pride in his work, even if he is performing his job duties well.
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he trial balance will include a.only the credits of each account. b.only balance sheet accounts. c.the ending balance of each account. d.only the debits of each account.
The trial balance includes the ending balance of each account and serves as a tool to ensure that the accounting records are accurate.The correct answer to your question is c.
The trial balance will include the ending balance of each account. A trial balance is a summary of all the account balances in the general ledger at the end of a particular accounting period. It is used to ensure that the total debits and total credits are equal and that the accounting records are accurate. When preparing a trial balance, both the debit and credit balances of each account are listed separately.
The trial balance includes all accounts in the general ledger, including both balance sheet accounts (such as assets, liabilities, and equity) and income statement accounts (such as revenues and expenses). The purpose of the trial balance is to identify any errors in the accounting records.
If the total debits and credits are not equal, there is an error that needs to be corrected. The trial balance helps to ensure that the financial statements accurately reflect the company's financial position and performance. The correct answer to your question is c.
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Sales promotion aimed at intermediaries, often emphasizing price reduction, is called ______ promotion. a. Private b. Trade c. Supplier d. Channel
Trade promotion refers to sales promotion intended at intermediates, which frequently emphasises price reduction. The second option is entirely right.
What exactly is trade promotion?Promotion of trade is a component of revenue management that relates to marketing initiatives aimed towards retailers and wholesalers rather than end customers. It is a marketing approach used to increase product demand in retail establishments. The primary goal of trade promotions is to enhance product sales by making it more appealing to potential customers. In the case of innovations, promotions try to raise product awareness by emphasising its benefits and value proposition. it is one of the important promotion.
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The sales promotion aimed at intermediaries, often emphasizing price reduction, is called Trade promotion.
Trade promotion refers to promotional activities aimed at distributors, wholesalers, or retailers, rather than end consumers. The main objective of trade promotions is to motivate these intermediaries to stock, promote, and sell more of a particular product or brand.
Trade promotions can take various forms, including discounts, allowances, free goods, merchandising support, co-operative advertising, point-of-sale displays, and training programs. These promotions can help increase the visibility and availability of a product, encourage intermediaries to buy in larger quantities, and ultimately boost sales and market share.
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the capital asset pricing model is used to calculate the effect of increase in prices of capital assets due to inflation. group of answer choices true false
The statement that the Capital Asset Pricing Model (CAPM) is not used to calculate the effect of an increase in the prices of capital assets due to inflation is false.
CAPM is a financial model used to determine the expected return on an investment, given the risk-free rate, the investment's beta, and the expected market return. It is widely used in portfolio management and corporate finance to evaluate the risk and return of different assets. CAPM considers an asset's systematic risk, or beta, which measures its sensitivity to overall market movements.
An asset with a high beta is more sensitive to market changes, while a low beta asset is less sensitive. The model helps investors assess whether an investment's expected return is sufficient, given its level of risk. Inflation, on the other hand, refers to the general increase in prices and decrease in the purchasing power of money over time.
While inflation can indirectly impact the prices of capital assets, CAPM does not directly account for inflation in its calculations. Investors may need to consider inflation separately when evaluating the real return on their investments.
In summary, the statement that CAPM is used to calculate the effect of an increase in the prices of capital assets due to inflation is incorrect. CAPM focuses on assessing an investment's expected return based on its systematic risk, risk-free rate, and expected market return, rather than accounting for inflation.
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