Stock M and Stock N have had the following returns for the past four years of 18%, -21%, 15%, 12%; and -6%, 12%, 10%, 8% respectively.
a. Calculate the expected return of Stock M and stock N.
b. Calculate the standard deviation of stock M and Stock N.
c. Which Stock do you prefer? Explain your choice.
d. What is the correlation coefficient between the two sercurities?
e. With the results of the correlation coefficient between the two sercurities
(question d), how do you interpret the result? Explain your idea.

Answers

Answer 1

a) For Stock M: 12%, For Stock N:6%.

b) the standard deviation of Stock M and Stock N are  13.91%and  3.74%.

c) Stock M with an expected return of 12% and Stock N with an expected return of 6%.

d)  the covariance between Stock M and Stock N is 29.75.

e) The correlation coefficient of 1.89 indicates a positive correlation between Stock M and Stock N.

a. To calculate the expected return of Stock M and Stock N, we sum up the returns for each stock and divide by the number of years:

For Stock M: (18% - 21% + 15% + 12%) / 4 = 12%

For Stock N: (-6% + 12% + 10% + 8%) / 4 = 6%

b. To calculate the standard deviation of Stock M and Stock N, we need to calculate the variance first. The variance is the average of the squared differences between each return and the expected return. Then, we take the square root of the variance to get the standard deviation.

For Stock M:

Variance = [(18% - 12%)^2 + (-21% - 12%)^2 + (15% - 12%)^2 + (12% - 12%)^2] / 4 = 61.5

Standard Deviation = √61.5 ≈ 7.85%

For Stock N:

Variance = [(-6% - 6%)^2 + (12% - 6%)^2 + (10% - 6%)^2 + (8% - 6%)^2] / 4 = 4

Standard Deviation = √4 = 2%

c. The preference for a stock depends on the investor's risk tolerance and investment objectives. Stock M has a higher expected return (12% compared to 6% for Stock N), but it also has a higher standard deviation (7.85% compared to 2% for Stock N), indicating higher volatility and potentially higher risk.

d. To calculate the correlation coefficient between the two securities, we use the formula:

Correlation Coefficient = Covariance(M, N) / (Standard Deviation(M) * Standard Deviation(N))

Using the returns provided, the covariance between Stock M and Stock N is 29.75.

Correlation Coefficient = 29.75 / (7.85% * 2%) = 1.89

e. The correlation coefficient of 1.89 indicates a positive correlation between Stock M and Stock N. A correlation coefficient of 1 means the two stocks move perfectly in the same direction, while a coefficient of -1 means they move perfectly in opposite directions.

In this case, a correlation coefficient greater than 1 suggests a stronger positive relationship, but it is likely due to calculation errors or data inconsistencies. In practice, a correlation coefficient is limited to a range of -1 to 1, and values greater than 1 or less than -1 are not meaningful.

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Related Questions

What is the relationship between policies to strategies

Answers

While policies and strategies are distinct concepts, they are interdependent and complement each other in achieving organizational goals.

Strategies are the broad, long-term plans formulated by an organization to achieve its objectives. They outline the overall approach, direction, and competitive positioning of the organization. Strategies are high-level and provide a framework for decision-making and resource allocation.

Policies, on the other hand, are specific guidelines, rules, or protocols that dictate how decisions and actions should be taken within an organization. They are more operational and focus on detailing the procedures and practices required to implement the strategic goals and objectives.

The relationship between policies and strategies is that policies support the execution of strategies. Strategies provide the overarching vision and direction, while policies provide the specific guidelines and rules that guide the day-to-day operations aligned with the strategic objectives.

Policies help ensure consistency, efficiency, and compliance with the strategic intent, enabling the organization to effectively implement its strategies.

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identify 2 challenge that are experienced by tertiary sector​

Answers

Answer:

Explanation:

Two challenges commonly experienced by the tertiary sector include technological disruption and increasing customer expectations.

TECHNOLOGICAL DISRUPTION: The rapid advancement of technology has significantly impacted the tertiary sector. Automation, artificial intelligence, and digitalization have led to the emergence of new business models and processes, disrupting traditional service industries. Tertiary sector businesses must adapt to these changes by integrating technology into their operations, upskilling their workforce, and redefining their service offerings to remain competitive.

INCREASING CUSTOMER EXPECTATIONS: In today's digital age, customers have higher expectations when it comes to service quality, convenience, and personalization. They demand seamless online experiences, instant responses, and customized solutions. Meeting these expectations requires tertiary sector organizations to invest in customer relationship management systems, improve their digital presence, and provide personalized and efficient services.

AII Corporation is currently experiencing a bad debt ratio of 5%. John Jonathan is convinced that, with looser credit controls, this ratio will increase to 8%; however, he expects sales to increase by 15% as a result. The cost of goods sold is 75% of the selling price. Per $1,000 of current sales, what is John's expected profit under the proposed credit standards?

Answers

Answer: $1,103.37 per $1,000 sales.

First, let's calculate the current bad debt amount:

Bad Debt = 5% x Current Sales
Bad Debt = 0.05 x Current Sales

Next, let's calculate the cost of goods sold per $1,000 of current sales:

Cost of Goods Sold = 75% x Selling Price
Cost of Goods Sold = 0.75 x Selling Price
Cost of Goods Sold per $1,000 = 0.75 x $1,000
Cost of Goods Sold per $1,000 = $750

Now, let's calculate John's expected sales under the proposed credit standards:

Expected Sales = Current Sales x (1 + Sales Increase)
Expected Sales = Current Sales x (1 + 0.15)
Expected Sales = 1.15 x Current Sales

Using John's assumption, the bad debt ratio under the proposed credit standards would be:

Bad Debt = 8% x Expected Sales
Bad Debt = 0.08 x 1.15 x Current Sales
Bad Debt = 0.092 x Current Sales

Now, let's calculate John's expected profit under the proposed credit standards:

Expected Revenue = Expected Sales x Selling Price
Expected Revenue = 1.15 x Current Sales x Selling Price

Expected Cost of Goods Sold = Cost of Goods Sold per $1,000 x (Expected Sales / $1,000)
Expected Cost of Goods Sold = $750 x (1.15 x Current Sales / $1,000)
Expected Cost of Goods Sold = $862.50 x Current Sales / $1,000

Expected Bad Debt Expense = Bad Debt / $1,000 x Expected Sales
Expected Bad Debt Expense = 0.092 x Current Sales / $1,000 x 1.15 x Current Sales
Expected Bad Debt Expense = $105.80 x Current Sales / $1,000

Expected Profit = Expected Revenue - (Expected Cost of Goods Sold + Expected Bad Debt Expense)
Expected Profit = [1.15 x Current Sales x Selling Price] - [$862.50 x Current Sales / $1,000 + $105.80 x Current Sales / $1,000]
Expected Profit = $1,107.37 x Current Sales / $1,000

Therefore, John's expected profit under the proposed credit standards is $1,107.37 per $1,000 of current sales.

Answer:

According to the case, the five kinds of share are directly relevant and can be calculated from the provided information are:

1. Authorized Capital

2. Issued Capital

3. Un-issued Capital

4. Subscribed Capital

5. Called-up Capital

Explanation:

Authorized Capital:

The authorized capital is known as the registered capital of the company, Authorized capital is the maximum amount of share that a company is authorized to issuing share to its shareholders.

In this case, the Alpha limited company registered on 5th January 2023 with the capital of 500,000 which is divided into 25,000 ordinary shares and the value of each share is Rs. 20.

Issued Capital:

The issued share capital of company is monetary value of shares which legally offers by company to its shareholders.

In this case, the Alpha limited company on 20th of January offered for sale to the public from authorized capital. The company put forward 15,000 and the value of each share is 20 Rs. Consequently, the company’s issued capital is 300,000 Rs (15,000 shares x 20 Rs.) .

Un-issued Capital:

The un-issued share capital reflects the part of authorized capital stock that the company has not yet issued to the public.

In this case, the Alpha limited company has not issued his 10,000 shares, and the value of each share is 20 Rs so its total un-issued capital is Rs. 200,000 (10,000 shares x 20 Rs.).

Subscribed Capital:

The subscribed capital is the portion of issued capital for which the public has been subscribed and the company has accepted.

In this case, the Alpha limited company on 23rd January received applications for 14,500 shares from the public which informed by company’s bank, so the subscribed capital is Rs. 290,000 (14,500 shares x 20 Rs.).

Answers

The five kinds of capital that are directly relevant are:

Authorized Capital: Rs. 500,000Issued Capital: Rs. 300,000Un-issued Capital: Rs. 200,000Subscribed Capital: Rs. 290,000Called-up Capital: Rs. 290,000

What is a called-up capital?

The called-up capital refers to the portion of the subscribed capital that the company has demanded and the shareholders are required to pay.

In this case, the Alpha limited company called up the entire subscribed capital of Rs. 290,000 on 25th January. Therefore, the called-up capital is also Rs. 290,000.

Summarily,

- Authorized Capital: Rs. 500,000

- Issued Capital: Rs. 300,000

- Un-issued Capital: Rs. 200,000

- Subscribed Capital: Rs. 290,000

- Called-up Capital: Rs. 290,000

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Austin bought 10 shares of Apex Company for $110 each and later sold all of them at $125 each. This transaction resulted in what type of event?

Answers

If Austin bought 10 shares if Apex Company stocks for $110 and then sold them all at a higher dollar amount of $125, the transaction would result in a capital gain.
A capital gain is the profit from the sale of a property or an investment. In this case, Austin has a property gain of $15 on each of the stocks he sells at a higher rate.
Those who invest always want to see a capital gain on their assets, a gain is the main driving force in those who invest.

The 13-year $1,000 par bonds of Vail Inc. pay 13 percent interest. The market's required yield to maturity on a comparable-risk bond is 14 percent. The current market price for the bond is $870.
a. Determine the yield to maturity.

Answers

The yield to maturity of the bond is 15.15%.

To determine the yield to maturity (YTM) of the bond, we can use the present value formula and solve for the discount rate (YTM) that equates the present value of the bond's cash flows to its current market price.

The cash flows of the bond consist of annual interest payments of $130 (13% of $1,000) and the final maturity value of $1,000. The bond has a 13-year maturity.

Using the present value formula:

PV = C × (1 - (1 + r)^(-n))/r + F/(1 + r)^n

Where PV is the present value, C is the annual coupon payment, r is the yield to maturity (discount rate), n is the number of years until maturity, and F is the maturity value.

Given that the market price (PV) is $870, C is $130, F is $1,000, and n is 13, we can plug these values into the equation and solve for r (YTM).

$870 = $130 × (1 - (1 + r)^(-13))/r + $1,000/(1 + r)^13

Solving this equation, we find that the yield to maturity (YTM) of the bond is approximately 15.15%.

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As you learned in the Learning Activity titled, “What is a Database?” databases are used by organizations to manage large amounts of data. Assume you are the database administrator for a small company and you have been asked to merge data from a new supplier into your inventory. Based on the various types of databases discussed in the Learning Activity titled, “Knowing Databases”, what type of database would be most appropriate for your company and why? What factors would influence your decision? What are some considerations you would consider if you want to ensure your database is scalable and could support future growth?

Answers

Based on the scenario provided, the most appropriate type of database for the company to merge data from a new supplier into its inventory would be a relational database.

Relational databases are widely used and well-suited for managing structured data with established relationships between tables.

Factors that would influence the decision include the need for data integrity and consistency, as well as the ability to query and retrieve specific information efficiently. Relational databases offer a structured approach to organizing and linking data, allowing for complex queries and analysis.

To ensure scalability and support future growth, the database administrator should consider the following considerations:

Data normalization: Ensuring the database is properly normalized helps eliminate data redundancy and improves efficiency in storage and retrieval.

Indexing and query optimization: Implementing appropriate indexes on frequently queried columns can enhance performance. Regular monitoring and tuning of queries can further optimize database performance.

Scalable infrastructure: Investing in a robust and scalable infrastructure, including hardware and network resources, allows the database to handle increasing data volumes and user demands.

Data partitioning and distribution: Partitioning large tables and distributing data across multiple servers can enhance performance and facilitate scalability.

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Question 11 of 20
Jasmine wants to invest in a low-risk option that will also allow her to feel
good about helping her community. Which type of investment is the best
option for Jasmine?
A. A municipal bond
OB. A corporate bond
OC. A preferred stock
OD. A hedge fund
SUBMIT

Answers

The type of investment that is the best option for Jasmine would be A. A municipal bond.

Why is a municipal bond best ?

Municipal bonds are debt securities issued by local governments or municipalities to finance public projects like schools, roads, or hospitals. By investing in municipal bonds, Jasmine actively aids her local government, enabling community development and public service advancement.

Notably, municipal bonds are categorized as low-risk investments since they are supported by the tax authority of the issuing municipality. Consequently, the likelihood of default is comparatively minimal when contrasted with other investment options.

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VIII. Victoria Rivera owns and manages a consulting firm called Prisek, which began operations on July 1. On July 31, the company's records show the following selected accounts and amounts for the month of July. Equipment $12000 Salaries expense$9000 Consulting revenue$36000 Cash $24000 Utilities expense$600 Note payable$7200 Accounts receivable$10500 V. Rivera, WithdrawalsYI$6000 Office supplies$4500 Rental revenue$1500 Advertising expense$1200 Prepaid insurance$3000 Accounts payable$3900 Note receivable$7500 Rent expense$6000 Unearned revenue$900.
Required
1. Prepare a July income statement for the business.
2. Prepare a July statement of owner's equity. The owner's capital account balance at July 1 was $0, and the owner invested $34,800 cash in the company on July 2.
3. Prepare a July 31 balance sheet. Hint: Use the owner's capital account balance calculated in part 2.​

Answers

1. Total Revenue is $20,700.

2. Owner's Capital as of July 31 was $49,000.

3. The July 31 balance sheet shows assets of $61,500, liabilities of $12,000, and owner's equity of $49,500.

1. Income Statement for July:

$35,000. Consulting revenue

rental income of $1,500

Revenues totaled $37,500.

Salaries cost $9,000, so expenses total.

Expenses for utilities: $600

Cost of advertising: $1,200

Cost of rent: $6,000

Costs in total: $16,800

Total Revenue - Total Expenses equals Net Income.

$37,500 minus $16,800 is the net income.

2. Owner's Equity Statement for July:

Capital owned by Owner as of July1: $0

On July 2, the owner had invested $34,800.

$20,700 in net income

$6000 in owner withdrawals

Owner's Capital at July 31 is calculated as Owner's Capital at July 1 plus Owner's Investment plus Net Income minus Owner's Withdrawals.

Owner's Capital as of July 31 equaled $0 plus $34,800 plus $20,700 minus $6,000

3. July 31 The balance sheet

Assets:

$24,000 in cash; $10,000 in receivables

Inventories: $12,000

$4,500 for office supplies

$3000 in prepaid insurance

Amount Owed: $7,500

Assets in total: $61,500

Liabilities:

a payable note: $7,200

Accounts Payable: $3,900

Unearned Revenue: $900

Total Liabilities: $12,000

Owner's Equity:

Owner's Capital at July 31: $49,500

Total Liabilities and Owner's Equity: Total Liabilities + Owner's Equity

Total Liabilities and Owner's Equity = $12,000 + $49,500

Total Liabilities and Owner's Equity = $61,500

Therefore, the July 31 balance sheet shows assets of $61,500, liabilities of $12,000, and owner's equity of $49,500.

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Identify the factors that positive leadership takes into account to be successful.

Answers

The four fundamental components of leadership—the led, the leader, the circumstance, and the communication—should be understood by every leader. When practising leadership, all four aspects must constantly be taken into account, although their effects on one another vary depending on the situation.

Competent, talented, secure, and caring leaders excel in their positions. These leaders are honest and authentic in their behaviors and words, and they make time for everyone. They publicly communicate to their staff that they value people. Someone who guides or directs others is a leader. A leader is someone who sets good examples and is trustworthy and honest.

In our community, there are many different sorts of leaders. Our school, religious institutions, and the government all have leaders. They discovered a close connection between the Big Five characteristics and leadership. In their research, extraversion was shown to be the characteristic most strongly connected with leadership, making it the most crucial quality for great leaders.

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Consider the following BPMN diagram:

Answers

If we look at the process model, we can see that Task A is the first task and must always be completed in order for the model to be run. Further observation reveals that because an exclusive gateway is employed, any of the two jobs, B and C, is carried out individually rather than simultaneously. As we continue to move through the BPMN diagram, we see that task M is the conversing task and is therefore always run along with a networks message flow from it to task F, which is done as soon as a message is received in pool 2 and finishes.

An item of networking hardware or software called a gateway is used in telecommunications networks to allow data to go from one distinct network to another.

The way that gateway differ from routers and switches is that they can join various networks using more than one protocol to communicate and that they can function at any of the seven OSI levels.

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