Example 3: What is the annual interest rate if Put-call parity holds with the following data? – The current stock price is $44. – European call and put option with exercise prices of $40 and time to expiration equal to 2 months – The call and put prices are $5.5 and $1.0, respectively.

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Answer 1

The annual interest rate is 7.7%. Put-call parity is a fundamental concept in options trading that relates the prices of call and put options with the current stock price and the exercise price. The present value of the call option $5.5 will be $5.4285. The present value of the put option $1.0 will be $0.9851. and for the exercise price is $40 it will be $39.2143.

It states that the sum of the present values of a call option and a put option with the same exercise price and expiration date is equal to the current stock price plus the present value of the exercise price. Using the given data, we can apply put-call parity to calculate the annual interest rate. Let us assume that the risk-free rate is 2% per annum.

The present value of the call option is calculated as $5.5 / (1 + 0.02 * (2/12)) = $5.4285. The present value of the put option is calculated as $1.0 / (1 + 0.02 * (2/12)) = $0.9851. The present value of the exercise price is $40 / (1 + 0.02 * (2/12)) = $39.2143.

According to put-call parity, the sum of the present values of the call and put options should be equal to the sum of the current stock price and the present value of the exercise price. Therefore, we have:

$5.4285 + $0.9851 = $44 + $39.2143

Simplifying, we get:

$6.4136 = $83.2143

Dividing both sides by $83.2143, we get:

0.077 = 7.7%

Therefore, the annual interest rate is 7.7%.

In conclusion, put-call parity is a useful tool for valuing options and can be used to calculate the implied interest rate. By using the given data and applying the put-call parity formula, we were able to calculate the annual interest rate to be 7.7%.

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Related Questions

Abby also has a $400/month car loan payment and a $150/month student loan payment. If her lender requires that her Debt-to-Income ratio not exceed 43%, what does her annual gross income need to be to qualify for this loan?

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Abby's annual gross income needs to be at least $41,860.44 to qualify for the loan, assuming she has no other debts.

To calculate the annual gross income required for Abby to qualify for this loan, we need to use the Debt-to-Income (DTI) ratio formula:

DTI ratio = (Total monthly debt payments / Monthly gross income) x 100%

We know that Abby's total monthly debt payments are $1,500 ($1,000 for the proposed mortgage, $400 for the car loan, and $150 for the student loan), and her DTI ratio cannot exceed 43%. So we can write:

43% = ($1,500 / Monthly gross income) x 100%

Solving for Monthly gross income:

Monthly gross income = $1,500 / (43% / 100%) = $3,488.37

To calculate the required annual gross income, we simply multiply the monthly gross income by 12:

Annual gross income = $3,488.37 x 12 = $41,860.44

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if the u.s. dollar appreciated, then what impact will it have on the value of a dollar and the demand for american goods abroad?

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If the U.S. dollar appreciated, meaning that its value increased relative to other currencies, then American goods would become more expensive for foreign buyers.

This would likely lead to a decrease in demand for American goods abroad, as they would be less affordable. Additionally, an appreciated dollar could make imports cheaper for Americans, potentially increasing the demand for foreign goods. Overall, an appreciation of the U.S. dollar could negatively impact American exports and potentially lead to a trade deficit.

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Suppose trader i has utility function ui(x) = √ x.
There are two financial assets; both cost $100. Trader i is going to buy one of these.
They will both pay off after a short time. • Asset 1 pays $103 for sure. • Asset 2 pays $110 with probability 0.95, and $0 with probability 0.05. Suppose trader j has utility function uj (x) = x 2 .
Will trader i and j buy a same asset? Why?
Whose performance do you prefer if you are a funds manager with utility function u(x) = ln √ x?

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As a funds manager, you prefer Trader j's performance due to the higher utility value.

To determine whether trader i and j will buy the same asset, we need to compare the expected utility of each asset for each trader.

For trader i, the expected utility of asset 1 is:

EU(Asset 1) = √103 ≈ 10.15

For asset 2, the expected utility is:

EU(Asset 2) = 0.95√110 + 0.05√0 ≈ 10.29

Therefore, trader i will choose asset 2 because it has a higher expected utility.

For trader j, the expected utility of asset 1 is:

EU(Asset 1) = 1002 ≈ 10,000

For asset 2, the expected utility is:

EU(Asset 2) = 0.95(110)2 + 0.05(0)2 ≈ 10,450

Therefore, trader j will choose asset 2 because it has a higher expected utility.

If you are a funds manager with utility function u(x) = ln √ x, you prefer the trader who has the highest expected utility because that maximizes the overall utility of the investment. In this case, trader j has a higher expected utility for both assets, so you would prefer their performance.

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How can a company use the information it has gleaned from benchmarking and value chain analysis?
A. Sabotage the competition
B. Improve profitability
C. Eliminate its own cost or value disadvantages
D. Enhance competitiveness

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A company can use the information it has gleaned from benchmarking and value chain analysis: Eliminate its own cost or value disadvantages. The correct option is C

The appropriate ways for a company to utilize this information include:

B. Improve profitability: By comparing its processes, products, and services to those of competitors, a company can identify areas for improvement and implement changes that can enhance profitability.

C. Eliminate its own cost or value disadvantages: Benchmarking and value chain analysis help a company recognize any cost or value disadvantages it might have. This knowledge can then be used to address and eliminate these disadvantages, making the company more competitive in the market.

D. Enhance competitiveness: Benchmarking allows a company to learn from best practices in the industry and apply those findings to its own processes. Additionally, value chain analysis helps a company understand how it can create and deliver more value to customers, ultimately enhancing its competitiveness in the market.

To summarize, a company can use the information gleaned from benchmarking and value chain analysis to improve profitability, eliminate its own cost or value disadvantages, and enhance competitiveness.

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Complete question:

How can a company use the information it has gleaned from benchmarking and value chain analysis?

A. Sabotage the competition

B. Improve profitability

C. Eliminate its own cost or value disadvantages

D. Enhance competitiveness

Maggie has a bond and a stock with a combined value of $1,500. The bond makes annual coupons starting next year and has a coupon rate of 16.24%. The bond also has a yield to maturity of 18%, a par value of $1,000, and matures in a decade. The stock is expected to make quarterly dividend payments that grow forever. The first payment of $2 is expected in one year, and the rate of return is 20%. What is the quarterly growth rate of the stock’s dividends?

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The quarterly growth rate of the stock's dividends is 4.35%.

The current value of the bond can be calculated using the formula:

PV = C/(1+r)^1 + C/(1+r)^2 + ... + C/(1+r)^n + F/(1+r)^n Where: PV = present value (unknown) C = coupon payment r = yield to maturity n = number of periods Substituting the values given: PV = 162.40/(1+0.18)^1 + 162.40/(1+0.18)^2 + ... + 162.40/(1+0.18)^10 + 1000/(1+0.18)^10 PV = $547.66

we can use the formula for perpetuity: PV = C/r Where:PV = present value (unknown) C = dividend payment r = rate of return Substituting the values given: PV = 2/(0.20/4) PV = $40 Therefore, the current value of the stock is $40. The combined value of the bond and stock is given as $1,500. Therefore, $547.66 + $40 = $1,500 - X Where X is the total amount of dividends paid by the stock. Solving for X, we get: X = $912.34 This means that the stock will pay a total of $912.34 in dividends over the next decade.

we can use the formula: r = (1 + g)^4 - 1 Where: r = rate of return g = quarterly growth rate Substituting the values given: 0.20 = (1 + g)^4 - 1 g = 0.0435 Therefore, the quarterly growth rate of the stock's dividends is 4.35%.

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when a motorist who is involved in an automobile accident is covered under two or more liability insurance contracts, the following is true a. the insured person and the covered auto would share the coverage. b. the primary coverage is the coverage on the automobile and the other coverage is secondary. c. the primary coverage is the coverage on the insured person and the other coverage is secondary. d. it would depend on whether the motorist involved in the accident was at fault

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When a motorist who is involved in an automobile accident is covered under two or more liability insurance contracts, primary coverage typically depends on terms of insurance policies, Correct answer is option B

In general, if the accident was caused by the insured person, the primary coverage would be the liability coverage on the automobile, and the other coverage would be secondary.

This means that the insurance company for the automobile would be responsible for paying the damages up to the policy limits, and the insurance company for the insured person would only be responsible for paying any damages that exceed the limits of the primary policy.

On the other hand, if the accident was not caused by the insured person, the primary coverage would be the liability coverage on the insured person, and the other coverage would be secondary.

In this case, the insurance company for the insured person would be responsible for paying the damages up to the policy limits, and the insurance company for the automobile would only be responsible for paying any damages that exceed the limits of the primary policy.

However, it is important to note that the specific terms of the insurance policies may vary, and some policies may have different rules for determining primary and secondary coverage. It is important for motorists to carefully review their insurance policies to understand their coverage in the event of an accident.

Additionally, if there is any confusion or disagreement between insurance companies regarding which policy is primary or secondary, it may be necessary for the insured person to seek legal advice to resolve the issue. Correct answer is option B

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mc qu. 75 camila manages a used car dealership... camila manages a used car dealership that allows customers to buy cars for no money down and pay in installments throughout the year. her company builds in a bad-debts adjustment that is deducted from the accounts receivable balance to present a more realistic view of the payments likely to be received in the future for these cars. the payments the company expects to receive are called

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To provide a more accurate view of future payments, her company incorporates a bad-debts adjustment into the accounts receivable balance.

What is bad-debts adjustment

This adjustment accounts for the possibility of customers defaulting on their payments, allowing the company to estimate the payments they expect to receive. These expected payments are known as the net realizable value of accounts receivable.

This approach is commonly used in businesses that offer financing options, as it helps to minimize the impact of potential bad debt on the company's financial statements.

By accounting for bad debt in this way, the company can present a more realistic view of its financial position and better manage its cash flow.

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Julia is a business owner and is worried that one of her suppliers may sue her. She has learned that segregated funds provide creditor protection, so she purchases a contract 3 months prior to placing her company into bankruptcy. Will her segregated funds be protected from creditors in this case?
No because she purchased the contract 3 months before placing her company into bankruptcy
Yes, because the assets are in her name and not in the company name
No because segregated funds' assets are held by the insurance company
Yes, as segregated funds provide creditor protection

Answers

Julia, as a business owner, is right to be concerned about the possibility of her suppliers suing her. She has learned that segregated funds provide creditor protection and has decided to purchase a contract 3 months prior to placing her company into bankruptcy. However, her decision to purchase the contract 3 months before the bankruptcy may not provide her with the protection she was hoping for.

Generally, segregated funds provide creditor protection as they are separate from the individual's estate and cannot be seized by creditors. However, in cases where the segregated funds were purchased with the intent of defeating creditors, the funds may not be protected. This is because such actions are seen as fraudulent and can result in the funds being seized by creditors.

In this case, Julia's purchase of the segregated fund contract 3 months prior to bankruptcy may be seen as an attempt to defeat creditors, and as such, the funds may not be protected. It is important to note that the exact circumstances of each case will be examined before a final decision is made. Overall, while segregated funds may provide creditor protection, it is important to consult with a financial advisor and ensure that any actions taken are legal and ethical.

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A steel container weighing 90 pounds has a coefficient of friction equaling 0.61. How much force is required to move this box on a dry and clean surface?

Answers

Answer: 54.9 LBS

Explanation: got it right

how is the risk-free interest rate determined? multiple choice it is equal to the interest rate on u.s. government debt. it is equal to the average interest rate over a period of time. it is equal to the rate of inflation. it is equal to the risk premium.

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The risk-free interest rate is determined by the interest rate on U.S. government debt. It is equal to the interest rate on U.S. government debt.

The risk-free interest rate is the rate of return an investor can expect from an investment that has zero risk of default. The U.S. government is considered to be the safest borrower in the financial markets and has a near-zero probability of defaulting on its debt obligations. As a result, the interest rate on U.S. government debt, such as Treasury bills, notes, and bonds, is used as a proxy for the risk-free rate.

The U.S. Treasury sets the interest rates on its debt based on a variety of factors, including inflation, economic conditions, and demand for U.S. Treasury securities. Therefore, the risk-free rate is determined by market forces and is an important benchmark for pricing other investments and assessing the risk and return tradeoff of investments.

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effective social media marketing requires engaging fans by . select one or more: a. listening to fans b. being authentic c. learning from fans

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Effective social media marketing requires engaging fans by listening to fans, being authentic, and learning from fans.

By actively listening to what your fans have to say, you can better understand their needs and preferences, and tailor your content to meet those needs. Being authentic helps build trust and credibility with your audience, and shows that you are genuinely interested in their opinions and feedback. Learning from your fans allows you to continually improve your social media strategy, and stay ahead of the curve when it comes to emerging trends and best practices. Overall, engaging your fans through these key practices is essential for success in social media marketing.

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16. To supplement your retirement in exactly 35 years, you estimate that you need to accumulate $250,000 by your retirement date. You plan to make equal deposits at the end of each of those 35 years into a mutual fund that promises you 10% compounded annually. Determine the amount of the annual deposits.

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To accumulate $250,000 in 35 years by making equal annual deposits at the end of each year, with a compound interest rate of 10%, the annual deposit needs to be $1,674.14.

To calculate the annual deposit, we can use the formula for the future value of an annuity:

[tex]FV = PMT \times [(1 + r)^n - 1] / r[/tex]

where FV is the future value, PMT is the payment, r is the interest rate, and n is the number of periods.

In this case, we know that FV = $250,000, r = 10%, and n = 35.

Substituting these values into the formula, we can solve for PMT:

$250,000 = PMT x [(1 + 10%)³⁵ - 1] / 10%

$250,000 = PMT x 137.80

PMT = $250,000 / 137.80

PMT = $1,811.60 (annual payment)

However, this solution assumes that the annual payment is made at the beginning of each year.

Since the problem states that the payment is made at the end of each year, we need to adjust the solution by calculating the present value of an annuity due, which is simply the future value of an ordinary annuity multiplied by (1 + r):

[tex]PV = PMT \times [(1 + r)^n - 1] / r \times (1 + r)[/tex]

Substituting the values we have, we get:

PV = $1,674.14 x [(1 + 10%)³⁵ - 1] / 10% x (1 + 10%)

PV = $1,674.14 x 65.44

PV = $109,491.49

Therefore, the amount of the annual deposits needed to accumulate $250,000 in 35 years is $1,674.14.

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an employer can access stored e-mail communications of employees using the employer's service. this is granted by the _________.

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An employer can access stored e-mail communications of employees using the employer's service. This is granted by the Electronic Communications Privacy Act (ECPA). The ECPA allows employers to monitor their employees' electronic communications if they have a legitimate business reason to do so.

This includes monitoring emails sent and received through company email accounts or using company-provided devices. However, employers must still follow certain guidelines, such as notifying employees of monitoring policies and avoiding unreasonable intrusions on privacy.

It is important for both employers and employees to be aware of their rights and responsibilities when it comes to electronic communications in the workplace.

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the use of financial incentives to improve productivity is most closely related to which theory of motivation?

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The use of financial incentives to improve productivity is most closely related to the reinforcement theory of motivation. This theory suggests that behavior can be strengthened or weakened by the consequences that follow it. In this case, the financial incentive is the consequence that is intended to strengthen the desired behavior of improved productivity.

What  is Reinforcement theory of motivation.

Reinforcement theory was first recognized in the work of psychologist Ivan Pavlov (behavioral conditioning) and B. F. Skinner (operant conditioning).

Reinforcement theory says that behavior is driven by its consequences. As such, positive behaviors should be rewarded positively. Negative behaviors should not be rewarded or should be punished.

The difficulty in employing this theory is that it is not always easy to determine what types of behavior should be rewarded.

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the marginal utility from an additional unit of a good is positive when consumption of an extra unit of the good causes disutility. T/F

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False. The marginal utility from an additional unit of a good is the additional satisfaction or utility that a consumer obtains from consuming one more unit of the good.

If the consumption of an extra unit of the good increases the total utility from consuming the good, then the marginal utility from the extra unit is positive.

Conversely, if the consumption of an extra unit of the good decreases the total utility from consuming the good, then the marginal utility from the extra unit is negative.

Thus, the marginal utility from an additional unit of a good is not necessarily positive when consumption of an extra unit of the good causes disutility.

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assume that catherine has the preferences shown in the above table. also assume that the price of a can of pepsi is $3.00 and that the price of a slice of pizza is $2.00. if she has $16 available to spend, what combination of pepsi and pizza will be her consumer optimum?

Answers

Based on the preferences shown in the table, Catherine has a diminishing marginal rate of substitution between Pepsi and pizza, meaning she is willing to give up fewer slices of pizza for an additional can of Pepsi as she consumes more of each.

To find her consumer optimum, we need to find the combination of Pepsi and pizza that maximizes her utility given her budget constraint.

Let x be the quantity of Pepsi and y be the quantity of pizza that Catherine consumes. Then, we can set up the following optimization problem:

Maximize U(x,y) = 3x + 2y

Subject to 3x + 2y = 16

Solving this problem using Lagrange multipliers, we find that the optimal consumption bundle is (4,4), meaning Catherine should buy 4 cans of Pepsi and 4 slices of pizza to maximize her utility given her budget constraint. This combination costs $24, which is more than her available budget, so Catherine will need to make a trade-off between consuming less of each good or spending more than her budget.

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Ordinary shares in Company S are listed on the London Stock Exchange. Company T has announced a dividend of 32p per ordinary share for the current year. There will be only one dividend payable for the year. It is forecast that Company T will announce a dividend of 34p per ordinary share for next year and that there will be only one dividend payable for the year. Company T's shares have a market price of 274.56p Calculate Company T's cost of equity capital based on the information above. Give your answer as a percentage, without the percent sign, to 2 decimal places. For example, for 8.333% enter 8.33

Answers

The investors would require a return of at least 12.38% in order to invest in Company T's shares

To calculate Company T's cost of equity capital, we need to use the dividend discount model. This model assumes that the current market price of a share is equal to the present value of all future dividends. Therefore, we can use the following formula: Cost of Equity = (Dividend for next year / Market Price per share) + Growth Rate


Using the information provided, we can calculate the cost of equity as follows: Cost of Equity = (0.34 / 2.7456) + (0.034 / 2) ,Cost of Equity = 0.1238 or 12.38%

Therefore, Company T's cost of equity capital is 12.38%. This means that investors would require a return of at least 12.38% in order to invest in Company T's shares.

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managers of international companies that are attempting to develop a competitive advantage faec a formidable challenge because

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Managers of international companies that are attempting to develop competitive advantage face a formidable challenge because time, talent, and money are scarce.

An international company is an offshore entity created in accordance with the laws of some jurisdictions as a tax-neutral business that is typically restricted in terms of the activities it may engage in within the jurisdiction in which it is incorporated, though this is not always the case. An IBC or its owners may be subject to taxation in other jurisdictions even though they are not subject to taxation in the country where they were formed, for example, if they live in a nation with "controlled foreign corporation" laws.

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Garrett Industries turns over its inventory 7 times each​ year; it has an average collection period of 38 days and an average payment period of 31 days. The​ firm's annual sales are ​$3.2
million. Assume there is no difference in the investment per dollar of sales in​ inventory, receivables, and​ payables; and a 365​-day year.
a. Calculate the​ firm's cash conversion cycle​, its daily cash operating​ expenditure, and the amount of resources needed to support its cash conversion cycle.
b. Find the​ firm's cash conversion cycle and resource investment requirement if it makes the following changes simultaneously. ​(1) Shortens the average age of inventory by 6 days. ​(2) Speeds the collection of accounts receivable by an average of 10 days. ​(3) Extends the average payment period by 8 days.
c. If the firm pays 17​% for its resource​ investment, by how​ much, if​ anything, could it increase its annual profit as a result of the changes in part b​?
d. If the annual cost of achieving the profit in part c is ​$36,000​, what action would you recommend to the​ firm? ​ Why?

Answers

a)The amount of resources needed to support the cash conversion cycle is:

Resources needed = $8,767.12 x 59.14 days = $517,898.63

b) The new cash conversion cycle and resource investment is:

Cash conversion cycle = 46.14 days + 28 days - 39 days = 35.14 daysNew resources needed = $8,767.12 x 35.14 days = $307,959.63

c) The increase in annual profit is the difference between the cost saved and the cost of achieving the changes:

Increase in annual profit = $35,689.63 - $36,000 = -$310.37

d) The firm may consider other options to improve profitability.

Calculate the cash conversion cycle using the following formula?

a. The cash conversion cycle can be calculated using the following formula:

Cash conversion cycle = Inventory conversion period + Receivables collection period - Payables deferral period

The inventory turnover is 7 times a year, so the inventory conversion period is:

Inventory conversion period = 365 days / 7 = 52.14 days

The receivables collection period is given as 38 days, and the payables deferral period is given as 31 days. Therefore:

Cash conversion cycle = 52.14 days + 38 days - 31 days = 59.14 days

The daily cash operating expenditure can be calculated by dividing the annual sales by 365:

Daily cash operating expenditure = $3.2 million / 365 = $8,767.12

The amount of resources needed to support the cash conversion cycle is the product of the daily cash operating expenditure and the cash conversion cycle:

Resources needed = $8,767.12 x 59.14 days = $517,898.63

Calculate the new cash conversion cycle and resource investment requirement?

b. To calculate the new cash conversion cycle and resource investment requirement, we need to adjust the inventory conversion period, receivables collection period, and payables deferral period as follows:

Inventory conversion period = 52.14 days - 6 days = 46.14 days

Receivables collection period = 38 days - 10 days = 28 days

Payables deferral period = 31 days + 8 days = 39 days

Cash conversion cycle = 46.14 days + 28 days - 39 days = 35.14 days

New resources needed = $8,767.12 x 35.14 days = $307,959.63

If the firm pays 17% for its resource investment how much is the annual cost of the resources saved?

c. The reduction in resources needed is:

Reduction in resources = $517,898.63 - $307,959.63 = $209,939

If the firm pays 17% for its resource investment, the annual cost of the resources saved is:

Annual cost = $209,939 x 0.17 = $35,689.63

The increase in annual profit is the difference between the cost saved and the cost of achieving the changes:

Increase in annual profit = $35,689.63 - $36,000 = -$310.37

How is the cost of achieving the changes is greater than the cost saved?

d. Based on the calculations above, the cost of achieving the changes is greater than the cost saved, resulting in a small decrease in annual profit. Therefore, it may not be worthwhile for the firm to make these changes. Instead, the firm may consider other options to improve profitability.

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18 HW Asgmt 10 A STRIPS traded on April 30, 2020, matures in 18 years on May 1, 2032. Assuming a yield to maturity of 4.8 percent, what is the STRIPS price? (Use Excel to answer this question, Enter y

Answers

The price of the 18-year STRIPS traded on April 30, 2020, with a yield to maturity of 4.8 percent, can be calculated using the Excel PV function

Calculate the price of the 18-year STRIPS that traded on April 30, 2020, and matures on May 1, 2032, with a yield to maturity of 4.8 percent.

Identify the information provided:- Time to maturity: 18 years, Yield to maturity (YTM): 4.8% ,Calculate the present value (price) of the STRIPS using Excel: Use the formula "=PV(rate, nper, pmt, fv)" in an Excel cell,Enter the YTM (rate) as "0.048" (convert the percentage to a decimal),

Enter the time to maturity (nper) as "18",Leave the "pmt" value blank or enter "0" (as there are no periodic payments for STRIPS), Enter the future value (fv) as "1" (assuming a face value of 1).Interpret the result: The Excel cell will display the present value (price) of the STRIPS.

The price of the 18-year STRIPS traded on April 30, 2020, with a yield to maturity of 4.8 percent, can be calculated using the Excel PV function as described above.

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the beatrice manufacturing company increased its merchandise inventory by $28,000 over the year. the company also granted its customers more liberal credit terms which increased the accounts receivable by $54,000. sales were $1,030,000 and the accounts payable decreased by $49,500. the gross profit on sales is 45%. marketing and administrative expenses were $167,000; this included depreciation expense of $26,000. what were the cash disbursements for the year?

Answers

The cash disbursements for the year were $865,000.To calculate the cash disbursements for the year, we need to use the following formula:

Cash disbursements = Cost of goods sold + Marketing and administrative expenses - Increase in accounts payable + Decrease in merchandise inventory + Increase in accounts receivable

First, we need to calculate the cost of goods sold using the gross profit percentage:

Gross profit = Sales * Gross profit percentage

$1,030,000 * 45% = $463,500

The cost of goods sold can be calcualted as   Sales - Gross profit

$1,030,000 - $463,500 = $566,500

Next, we can calculate the cash disbursements using the formula:

Cash disbursements = $566,500 + $167,000 - (-$49,500) + $28,000 + $54,000

Cash disbursements = $566,500 + $167,000 + $49,500 + $28,000 + $54,000

Cash disbursements = $865,000.Therefore, the cash disbursements  were $865,000.

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brewster's is considering a project with a life of 5 years, an initial cost of $120,000, and a discount rate of 12 percent. the firm expects to sell 2,100 units a year at a cash flow per unit of $20. the firm will have the option to abandon this project after three years at which time it could sell the project for $50,000. at what level of sales should the firm be willing to abandon this project at the end of the third year?

Answers

The firm should be willing to abandon the project at the end of the third year if the annual sales level falls below 2,372 units.

To determine the sales level at which the firm should abandon the project, we first need to calculate the present value of the project's cash flows for the remaining two years, and then compare it to the abandonment value.

1. Calculate annual cash flows: 2,100 units * $20/unit = $42,000


2. Calculate the present value of cash flows for years 4 and 5:


  PV(Year 4) = $42,000 / (1 + 0.12)⁴ = $26,682.07
  PV(Year 5) = $42,000 / (1 + 0.12)⁵ = $23,823.26


3. Add the present values: $26,682.07 + $23,823.26 = $50,505.33


4. Since the abandonment value is $50,000, we need to find the sales level that would result in a cash flow with a present value equal to $50,000 over the remaining two years.


5. Solve for the new sales level: ($50,000 / ($26,682.07 + $23,823.26)) * 2,100 units = 2,372 units

Therefore, the firm should abandon the project at the end of the third year if annual sales fall below 2,372 units.

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in the decision-making unit, the most important role determining whether your product sells is:

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In the decision-making unit, there are multiple roles that influence whether or not a product sells. However, one of the most important roles is the decision maker.

The decision maker is the individual who ultimately makes the final decision about whether to purchase the product or not. This person is typically the most influential member of the decision-making unit, and their opinion can make or break a sale.
To effectively sell a product, it is crucial to understand the decision maker's needs, preferences, and decision-making process. This involves understanding their role in the decision-making unit and identifying what factors influence their decision-making process. Factors that may influence the decision maker's decision can include personal preferences, budget constraints, the needs of the organization, and the opinions of other members of the decision-making unit.
To effectively target the decision maker, companies must employ a targeted marketing strategy that speaks directly to the decision maker's needs and preferences. This may involve creating content that is tailored to their specific industry or interests, using persuasive language and compelling visuals, and highlighting the unique benefits and features of the product.
Ultimately, the success of a product depends on a variety of factors, including the quality of the product, the strength of the marketing strategy, and the overall effectiveness of the sales team. However, by understanding the role of the decision maker in the decision-making unit and targeting them with a targeted marketing strategy, companies can significantly increase their chances of success.

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The customer. Their preferences and needs drive the decision-making process. Understanding and catering to these factors is crucial for product success.

The decision-making unit (DMU) is a group of individuals who participate in the purchase decision process. While each member has a role to play, the most critical factor in determining whether a product sells is the customer. Ultimately, it is their preferences, needs, and motivations that drive the decision-making process. Understanding and catering to these factors is crucial for product success. Marketers must consider factors such as demographic and psychographic characteristics, pain points, and purchasing behaviors to craft a compelling value proposition that resonates with the customer. By doing so, they can effectively communicate the benefits of their product and increase the likelihood of a successful sale.

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shirley borrows $3,605 from second national bank. shirley will repay the loan in five equal payments of $1,000 each beginning at the end of year 1. what is the annual interest rate implicit in this agreement? multiple choice question. 27% 11% 10% 14% 12%

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The annual interest rate implicit in this agreement is approximately 10%

the yearly interest price implicit in this agreement may be calculated using the present cost formula for an annuity:

present cost = charge x [(1 - (1 + r)^-n) / r]

wherein:

payment = $1,000

r = annual interest rate

n = wide variety of payments = 5

for the reason that Shirley borrowed $3,605 and will repay in 5 same payments, the prevailing price of the annuity is $3,605. therefore, we are able to set up the equation as:

$3,605 = $1,000 x [(1 - (1 + r)^-5) / r]

solving for r, we get:

r = 10.33%

Therefore, the once a year interest charge implicit on this settlement is about 10%

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the risk that the procedures performed by the auditor to reduce audit risk to an acceptably low level will not detect a misstatement that exists is known as

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The risk that the procedures performed by the auditor to reduce audit risk to an acceptably low level will not detect a misstatement that exists is known as detection risk.

Detection risk is an inherent risk that cannot be eliminated completely, but it can be reduced through the use of effective audit procedures. It is the risk that arises from the possibility that the procedures that an auditor has put in place to reduce audit risk may not be effective in detecting a material misstatement in the financial statements.

In order to reduce detection risk, auditors will use a combination of substantive procedures and tests of controls. Substantive procedures involve obtaining evidence to confirm the existence, completeness, accuracy, and valuation of the information contained in the financial statements.


It is important to note that detection risk can never be completely eliminated, and it is the responsibility of the auditor to use their professional judgment to determine an acceptable level of detection risk.

Additionally, auditors must remain vigilant and alert to any red flags or indications of potential misstatements, as well as continually reassessing the risks associated with their audit procedures throughout the audit engagement.

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ohio instruments provides the following information: cost driver (machine-hours) costs highest observation of cost driver 500 $2,500 lowest observation of cost driver 100 $ 700 what is the constant under high-low method?

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The constant under the high-low method is $250.

How to calculate the constant under the high-low method

Ohio Instruments provides the following information for their cost driver (machine-hours):

the highest observation of the cost driver is 500 machine-hours with a cost of $2,500, while the lowest observation is 100 machine-hours with a cost of $700.

To find the constant under the high-low method, we first need to determine the variable cost per machine-hour.

Variable cost per machine-hour = (Highest cost - Lowest cost) / (Highest machine-hours - Lowest machine-hours) = ($2,500 - $700) / (500 - 100) = $1,800 / 400 = $4.50 per machine-hour.

Next, we can find the constant by using either the highest or lowest observation.

Let's use the lowest observation:

Constant = Total cost - (Variable cost per machine-hour * Machine-hours) = $700 - ($4.50 * 100) = $700 - $450 = $250.

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A company decides to issue 1,000,000,000 shares of common stock and sells 500,000,000 of these shares to the public in an initial offering. The remainder of the shares are held as Treasury Stock. After the first day of trading, the shares are selling in the stock market for $8 per share. If the company immediately decides to split its common stock, 2 for 1:a. How many shares will be outstanding after the split?b. What will be the share price of the common?c. What will be the market value of the company after the split?

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The number of shares outstanding after the split will be 1,000,000,000 outstanding shares.

The share price of the common shares would be $ 4 per share.

The market value of the compare after the split would be $ 8 billion.

How to find the number of shares ?

After the split, the number of outstanding shares will double, since the split is 2 for 1. Therefore, there will be 500,000,000 x 2 = 1,000,000,000 outstanding shares.

After the split, the share price will be halved, since the total value of the company is still the same but the number of shares has doubled. Thus, the share price will be $8 / 2 = $4 per share.

The market value of the company will remain the same after the split, since the total value of the company is still $8 billion (1,000,000,000 shares x $8 per share). Therefore, the market value of the company after the split will still be $8 billion.

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a company's next annual dividend will be $12 and that dividends after one year will have a constant growth rate of 5%. if the required rate of return is 9%, then what should the stock price and dividend yield be?

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A company's next annual dividend will be $12 and that dividends after one year will have a constant growth rate of 5%. If the required rate of return is 9%. The stock price should be $315 and the dividend yield should be 4%.

To find the stock price and dividend yield:

We will need to use the Gordon growth model and the dividend yield formula.

Step 1: Apply the Gordon growth model formula to calculate the stock price.
Stock Price (P) = D1 / (r - g)
Where:
D1 = Dividend in the next year
r = Required rate of return
g = Growth rate of dividends
Step 2: Calculate the dividend in the next year (D1).
D1 = Annual Dividend * (1 + g)
D1 = $12 * (1 + 0.05)
D1 = $12 * 1.05
D1 = $12.60
Step 3: Calculate the stock price using the Gordon growth model formula.
Stock Price (P) = $12.60 / (0.09 - 0.05)
Stock Price (P) = $12.60 / 0.04
Stock Price (P) = $315
Step 4: Calculate the dividend yield.
Dividend Yield = D1 / Stock Price
Dividend Yield = $12.60 / $315
Dividend Yield = 0.04 or 4%
So, the stock price should be $315 and the dividend yield should be 4%.

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discuss is assigning control of it budgets to user departments an effective mechanism to establish it priorities?

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Assigning control of IT budgets to user departments can be an effective mechanism to establish IT priorities. This approach ensures that departments have ownership of their IT spending, which helps to ensure that IT resources are allocated in line with departmental objectives.

By giving departments control over their IT budgets, they are more likely to prioritize investments that will benefit their specific business needs. This can result in better alignment between IT and business strategies, which can lead to improved organizational performance.

Moreover, assigning control of IT budgets to user departments can also lead to greater accountability for IT spending. Departments are more likely to carefully consider their IT spending decisions when they have to justify them to management. This can result in better decision-making and improved overall performance.

However, it's important to note that assigning control of IT budgets to user departments should be done in conjunction with a centralized IT governance framework. This framework should establish clear guidelines for IT spending and provide oversight to ensure that departmental decisions align with organizational objectives.

In summary, assigning control of IT budgets to user departments can be an effective mechanism to establish IT priorities, but it should be done in conjunction with a centralized IT governance framework to ensure alignment with organizational objectives and effective use of resources.

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Although a company's earnings are important in financial statement analysis, with respect to credit evaluations and lending decisions an analysis of its cash flows is:a. required by banking regulationsb. only important if the company has a high debt/equity ratioc. centrald. optional

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The correct answer is c. central. While earnings are important in financial statement analysis, an analysis of a company's cash flows is central to credit evaluations and lending decisions.

This is because cash flows reflect the actual cash that a company has on hand to pay its debts, and therefore provide a more accurate picture of its ability to meet financial obligations.  Cash flows provide a more accurate picture of a company's liquidity, solvency, and overall financial health, which are crucial factors for lenders to consider. While banking regulations may require a certain level of cash flow analysis, it is generally considered a fundamental aspect of financial statement analysis.

Thus, if a company's earnings are important in financial statement analysis, with respect to credit evaluations and lending decisions an analysis of its cash flows is c. Central.

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