Theodore D. Kat is applying to his credit union for a mortgage of $200,000. The bank has quoted 8% an interest rate, compounded semi-annually. He would pay off the mortgage over 25-years (amortization period) and make a payment at the end of each month. A. Calculate EAR (1/100 of one percent, no %, e.g. 9.35)

a. Calculate EAR (1/100 of one percent, no %, e.g. 9.35)

b. How much are Theodore’s monthly payments?

2. Genu corporation is expected to pay a dividend of $2 per share next year. The annual dividend will rise by 6% per year forever. The required rate of return is 11%. What is the price of stock today? (nearest dollar without dollar sign ($) or comma, e.g. 15000)

Answers

Answer 1

Theofore's monthly payments would be approximately $1334.11. compounding period and the nominal interest rate.

the interest is compounded semi-annually at a nominal interest rate of 8%. to find the ear, we use the formula:

ear = (1 + r/n)ⁿ - 1

where:

r = nominal interest rate (8%)

n = number of compounding periods per year (2)

ear = (1 + 0.08/2)² - 1

calculating the expression within parentheses:

(1 + 0.04)² - 1 = (1.04)² - 1 = 1.0816 - 1 = 0.0816

so, the ear is 8.16%.

b. to calculate theodore's monthly payments, we need to use the mortgage formula for monthly payments:

monthly payment = (p * r * (1 + r)ⁿ) / ((1 + r)ⁿ - 1)

where:

p = principal amount (mortgage amount) = $200,000

r = monthly interest rate = (8% / 12) = 0.00667

n = number of payments = 25 years * 12 months/year = 300

substituting the values into the formula:

monthly payment = (200,000 * 0.00667 * (1 + 0.00667)³⁰⁰) / ((1 + 0.00667)³⁰⁰ - 1)

calculating the expression within parentheses:

(1.00667)³⁰⁰ = 2.8566

monthly payment = (200,000 * 0.00667 * 2.8566) / (2.8566 - 1)

monthly payment = 1334.11 2. to calculate the price of the stock today, we can use the gordon growth model, also known as the dividend discount model (ddm):

stock price = d1 / (r - g)

where:

d1 = expected dividend next year = $2

r = required rate of return = 11%

g = growth rate of dividends = 6%

substituting the values into the formula:

stock price = 2 / (0.11 - 0.06)

stock price = 40

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Related Questions

Knowledge check 01 the income statement is reconstructed on a cash basis from top to bottom when the ________ method is used to prepare the operating activities section of the statement of cash flows.

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The income statement is reconstructed on a cash basis from top to bottom when the cash basis method is used to prepare the operating activities section of the statement of cash flows.

To explain further, the income statement typically presents financial information on an accrual basis, which records revenues and expenses when they are earned or incurred, regardless of when cash is received or paid. However, the operating activities section of the statement of cash flows requires a cash basis, which focuses on the actual inflows and outflows of cash during a specific period.

So, to prepare the operating activities section of the statement of cash flows, the income statement is adjusted from an accrual basis to a cash basis by removing non-cash items and incorporating changes in working capital. This reconstruction allows for a more accurate representation of the cash flow generated or used by the company's operating activities during the given period.

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Can Jacob And Madison Afford This Home Using The Installment Debt Loan Criterion? Next Week, Your Friends Jacob And

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Next week, your friends Jacob and Madison will be visiting you, and they want to discuss their plan of purchasing a new home. The house that they are interested in costs $300,000, and they plan to take out a mortgage.

In this scenario, the couple would be using the installment debt loan criterion to determine whether they can afford the house. An installment loan is a loan that is paid back with a set number of equal payments over a specific period.

For example, an auto loan is an installment loan. The monthly payment is typically the same amount every month until the debt is fully paid. The calculation of a monthly installment payment is typically calculated as

Monthly Payment = [Principal × (Interest Rate × (1 + Interest Rate)^Number of Payments)] ÷ [(1 + Interest Rate)^Number of Payments - 1]To determine whether Jacob and Madison can afford the house using the installment debt loan criterion, we need to take into account the amount of money they make each month.

Lenders usually use a ratio called the debt-to-income ratio to determine if someone can afford a mortgage. The debt-to-income ratio is calculated as the total amount of monthly debt payments divided by the total monthly gross income.

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Calculate the intrinsic share price the stock below given the dividend history. A two-stage growth model must be used in the discounted dividend model.
Required return = 16%
Growth for the first 3 years = 3.5%
Growth from year 4-10 = 4%
Please provide full working.
Dividends are paid twice yearly.
Dividend ($)
0.66
0.79
0.73
0.91
0.83
0.95
0.86
0.95
0.8
0.8
0.8
0.8
0.8
0.8
0.8
0.8
0.25
0.35
0.7
0.72
0.72

Answers

Calculate the intrinsic share price by summing all the present values: Intrinsic share price = PV of dividends for the first 3 years + PV of dividends from year 4 to 10 + PV of dividends from year 11 onwards + PV of terminal value.

To calculate the intrinsic share price using the discounted dividend model with a two-stage growth model, we need to calculate the present value of all the expected future dividends. Here's the step-by-step calculation:

Determine the dividend growth rates:

Growth for the first 3 years = 3.5%

Growth from year 4-10 = 4%

Calculate the present value of dividends for the first 3 years:

Dividends for the first 3 years: $0.66, $0.79, $0.73

Growth rate for the first 3 years: 3.5%

Required return: 16%

PV of dividends for the first 3 years:

PV1 = D1 / (1 + r) ^ 1

PV2 = D2 / (1 + r) ^ 2

PV3 = D3 / (1 + r) ^ 3

PV of dividends for the first 3 years = PV1 + PV2 + PV3

Calculate the present value of dividends from year 4 to 10:

Dividends from year 4 to 10: $0.91, $0.83, $0.95, $0.86, $0.95, $0.8, $0.8

Growth rate from year 4 to 10: 4%

Required return: 16%

PV of dividends from year 4 to 10:

PV4 = D4 / (1 + r) ^ 4

PV5 = D5 / (1 + r) ^ 5

PV6 = D6 / (1 + r) ^ 6

PV7 = D7 / (1 + r) ^ 7

PV8 = D8 / (1 + r) ^ 8

PV9 = D9 / (1 + r) ^ 9

PV10 = D10 / (1 + r) ^ 10

PV of dividends from year 4 to 10 = PV4 + PV5 + PV6 + PV7 + PV8 + PV9 + PV10

Calculate the present value of dividends from year 11 onwards (using the growth rate of 4%):

Dividends from year 11 onwards: $0.8, $0.8, $0.8, $0.8, $0.8, $0.8, $0.8

Growth rate: 4%

Required return: 16%

PV of dividends from year 11 onwards:

PV11 = D11 / (r - g)

PV12 = D12 / (r - g)

PV13 = D13 / (r - g)

PV14 = D14 / (r - g)

PV15 = D15 / (r - g)

PV16 = D16 / (r - g)

PV17 = D17 / (r - g)

PV of dividends from year 11 onwards = PV11 + PV12 + PV13 + PV14 + PV15 + PV16 + PV17

Calculate the present value of the terminal value at year 10:

Terminal value = D10 * (1 + g) / (r - g) = D10 * (1 + 0.04) / (0.16 - 0.04)

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View Policies Show Attempt History Current Attempt in Progress Your answer is correct. Prepare a schedule showing physical units of production. Your answer is incorrect. Determine the equivalent units of production for materials and conversion costs.

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To determine the equivalent units of production for materials and conversion costs, we need to consider the number of partially completed units in addition to the fully completed units.

Production refers to the process of creating goods or services by transforming inputs or resources into outputs. It involves various activities, such as designing, planning, sourcing materials, manufacturing, assembling, testing, and delivering the final product or service to customers.The equivalent units of production represent the number of fully completed units that could have been produced given the resources used.

Since the question doesn't provide specific information about the production process or the number of partially completed units, it's not possible to calculate the equivalent units of production accurately.If you have additional information or specific details about the production process, please provide them so that I can assist you further in calculating the equivalent units of production.

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Some Recent Tinancial Statements Tor Smolira Goit, Incorporated, Towow. Smolra Goif Has 11,000 Sures Of Commen Stack

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The financial statement of Smolira Goit, Incorporated, To wow is significant for many reasons. The most notable reason is that it provides insights into the financial health of the company.

The statement will enable the company to assess its financial position and identify areas where it needs to improve. For instance, from the statement, the company can determine its profitability, liquidity, and solvency. Profitability analysis is critical as it helps the firm identify whether it is generating adequate profits.

Solvency analysis, on the other hand, helps the company determine if it can pay its debts as they fall due. Lastly, liquidity analysis helps the company assess its ability to meet its current liabilities.

For instance, it can determine if it can pay for its day-to-day expenses. In summary, the financial statement is a vital tool for any organization as it helps in making critical business decisions. By analyzing the statement, the company can determine the viability of its operations and make the necessary changes to improve its financial position.

It is, therefore, imperative for the management to ensure that the financial statement is accurate and provides a true reflection of the financial position of the company.

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MONLAB net income was 150,000 , Return on Equity 20% and total assets are 2,205,000. CALCULATE THE DEBT RATIO (Debt to assets) PRESENT YOUR ANSWER IN PERCENT ROUNDED TO ZERO DECIMAL PLACES. DONT USE THE PERCENTAGE SYMBOL EX. IF YOUR ANSWER IS 43% JUST WRITE 43

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The debt ratio (debt to assets) for MONLAB is approximately 66% when rounded to zero decimal places. The debt ratio is a financial ratio that measures the proportion of a company's total debt to its total assets.


To calculate the debt ratio (debt to assets) for MONLAB, we need to determine the total debt and divide it by the total assets. The formula for the debt ratio is:

Debt Ratio = Total Debt / Total Assets

Given that the net income is $150,000 and the return on equity is 20%, we can use these figures to calculate the total equity:

Total Equity = Net Income / Return on Equity

Total Equity = $150,000 / 0.20

Total Equity = $750,000

Next, we can calculate the total debt by subtracting the total equity from the total assets:

Total Debt = Total Assets - Total Equity

Total Debt = $2,205,000 - $750,000

Total Debt = $1,455,000

Finally, we can calculate the debt ratio:

Debt Ratio = Total Debt / Total Assets

Debt Ratio = $1,455,000 / $2,205,000

Using a calculator, we can divide $1,455,000 by $2,205,000 and multiply by 100 to express the debt ratio as a percentage:

Debt Ratio ≈ 0.6597 * 100

Debt Ratio ≈ 65.97

Therefore, the debt ratio (debt to assets) for MONLAB is approximately 66% when rounded to zero decimal places.


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Topic: Mergers and acquisitions are the most suitable entry mode for firms entering new foreign markets.

Take a stand, and give 3-4 arguments in point form for each stand.

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Mergers and acquisitions are not the most suitable entry mode for firms entering new foreign markets.

While mergers and acquisitions can offer certain benefits such as access to new markets and synergistic opportunities, they also come with significant challenges. Firstly, cultural differences between the acquiring and target companies can hinder integration and collaboration. Secondly, the financial risks involved, including high acquisition costs and potential failure to achieve anticipated synergies, can strain the acquiring firm's resources. Additionally, the lack of control and autonomy over the acquired company's operations may limit the acquiring firm's ability to implement its strategic vision. Lastly, the time-consuming nature of mergers and acquisitions can delay market entry, potentially leading to missed opportunities. Considering these factors, alternative entry modes like joint ventures or greenfield investments may be more suitable for firms entering new foreign markets.

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The monthly rates of return for September = [s]%, October = [o]%, November = [n]%, and December = [d]%. What is the monthly time-weighted rate of return for this four month period (rounded % to three places after the decimal)?)

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To calculate the monthly time-weighted rate of return for a four-month period, multiply the individual monthly rates of return, subtract 1, and convert the result to a percentage rounded to three decimal places.

To calculate the monthly time-weighted rate of return for a four-month period, we need to multiply the individual monthly rates of return together and then subtract 1. Here's how you can calculate it:
1. Convert the given percentages to decimals by dividing each percentage by 100. For example, if September's rate of return is 5%, you would convert it to 0.05.
2. Multiply the decimal rates of return together. For example, if September's rate of return is 0.05, October's rate is 0.02, November's rate is 0.04, and December's rate is 0.03, you would calculate 0.05 * 0.02 * 0.04 * 0.03.
3. Subtract 1 from the result obtained in step 2.
4. Multiply the result obtained in step 3 by 100 to convert it back to a percentage.
5. Round the final result to three decimal places.
So, to find the monthly time-weighted rate of return for the given four-month period, multiply the monthly rates of return together, subtract 1, convert it back to a percentage, and round to three decimal places.

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View Policies Current Attempt in Progress Presented here are selected transactions for the Blossom Company during April. Blossom uses the perpetual inventory system. April 1 2 4 Sold merchandise to Mann Company for $5,100, terms 2/10,n/30. The merchandise sold had a cost of $3,000. Purchased merchandise from Wild Corporation for $7.200, terms 1/10, n/30. Purchased merchandise from Ryan Company for $1,100,130. Received payment from Mann Company for purchase of April 1 less appropriate discount. Paid Wild Corporation for April 2 purchase. 10 11 Journalize the April transactions for Blossom Company. (Credit account titles are automatically indented when the amount is entered. Do not indent manually. Record Journal entries in the order presented in the problem.) Date Account Titles and Explanation Debit Credit (To record credit sale) (To record cost of good sold)

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The value of Sales Discounts Forfeited is calculated as $5,100 * 2% = $102. The difference between $5,100 and $102 is $4,998, which is the cash received after applying the discount.

Accounts Receivable - Mann Company $4,998,    

Sales discounts $102

accounts Payable - Wild Corporation $7,200,    

Cash $7,200

April 1:

Accounts Receivable - Mann Company $5,100

Sales Revenue $5,100

Cost of Goods Sold $3,000

Inventory $3,000

April 2:

Inventory $7,200

Accounts Payable - Wild Corporation $7,200

April 4:

Inventory $1,100

Accounts Payable - Ryan Company $1,100

Accounts Receivable - Mann Company $4,998

Sales Discounts $102

Accounts Payable - Wild Corporation $7,200

Cash $7,200

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Static) Correcting net income. LO 5-2 Assume that a firm reports net income of $135,000 prior to making adjusting entries for the following items: expired rent. $10,500; depreciation expense, $12,300; and supplies used, $5,400. Assume that the required adjusting entries hove not been made. What effect do these errors have on the reported net income? Answer is complete but not entirely correct. Exercise 5.1 (Static) Calculating adjustments. LO 5-2 1. On June 1, 20X1, Conner Company, a new firm, paid $16,800 rent in advance for a seven-month period. The $16,800 was debited to the Prepaid Rent account. 2. On June 1, 20X1, the firm bought supplies for $12,580. The $12,580 was debited to the Supplies account. An inventory of supplies at the end of June showed that items costing $9,275 were on hand. 3. On June 1, 20X1, the firm bought equipment costing $108,000. The equipment has an expected useful life of 9 years and no salvage value. The firm will use the straight-line method of depreciation. Prepare end-of-June adjusting entries for Conner Company. Journal entry worksheet Note: Enter debits before credits. Journal entry worksheet Prepare the adjusting entry for supplies. Note: Enter debits before credits. Journal entry worksheet Prepare the adjusting entry for depreciation. Note: Enter debits before credits.

Answers

To prepare the adjusting entries for Conner Company based on the given information, we will need to account for the expired rent, supplies used, and depreciation expense. Here are the adjusting entries:

1. Adjusting entry for expired rent:

Rent Expense       $10,500

  Prepaid Rent          $10,500

This entry recognizes the portion of the prepaid rent that has now been used up as an expense.

2. Adjusting entry for supplies:

Supplies Expense    $3,305

  Supplies                   $3,305

This entry adjusts the supplies account to reflect the actual supplies used during the period. The difference between the initial supplies balance and the ending supplies on hand is recorded as an expense.

3. Adjusting entry for depreciation:

Depreciation Expense     $1,367

  Accumulated Depreciation   $1,367

This entry records the depreciation expense for the equipment purchased. Based on a 9-year useful life and no salvage value, the straight-line method is used to calculate the depreciation.

Please note that the dollar amounts for the adjusting entries were not provided in the question. I have made assumptions based on the information given.

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Danny gave his son a check in October of last year. As of February of this year, the son had not yet cashed it.

Is this transaction a completed gift?

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No, the transaction is not a completed gift. A completed gift typically requires the transfer of ownership or control of the gifted item to the recipient. In this case, the son has not yet cashed the check, which means that ownership and control of the funds have not been transferred to him.

Until the son cashes the check and the funds are transferred to his possession or control, the gift is not considered completed. The act of giving the check is just a promise to transfer the funds, but the actual transfer has not occurred until the check is cashed.

Therefore, the transaction is not a completed gift until the son cashes the check and takes possession of the funds.

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Prepare and document a clear and articulate team plan to dictate the roles and responsibilities they will undertake over a two-week period in your organization

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Our team plan for the next two weeks outlines the roles and responsibilities that each team member will undertake to ensure smooth operations within our organization.

During the next two weeks, our team will consist of five members: a project manager, two developers, a designer, and a marketing specialist. The project manager will oversee the entire process, ensuring that tasks are assigned, deadlines are met, and communication flows smoothly. The developers will focus on coding and programming tasks, collaborating closely to ensure consistent progress. The designer will handle the visual aspects of our projects, creating engaging and user-friendly interfaces. The marketing specialist will be responsible for promoting our products and services, developing marketing strategies, and managing our online presence.

Each team member will have specific deliverables and milestones to achieve, which will be communicated and tracked using project management tools. Regular team meetings will be conducted to discuss progress, address challenges, and ensure alignment. By clearly defining roles and responsibilities, our team plan aims to optimize productivity and achieve our organizational goals effectively.

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suppose you are starting a​ business, wholly​ shirts, to imprint logos on​ t-shirts. in organizing the business and setting up its accounting​ records, you take your information to a cpa to prepare financial statements for the bank. name the organization that governs the majority of the guidelines that the cpa will use to prepare financial statements for wholly shirts. what are those guidelines​ called?

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The organization that governs the majority of the guidelines for preparing financial statements is the Financial Accounting Standards Board (FASB). The guidelines issued by FASB are called Generally Accepted Accounting Principles (GAAP).

When preparing financial statements for a business like Wholly Shirts, a Certified Public Accountant (CPA) relies on a set of rules and standards to ensure consistency, comparability, and accuracy of the financial information. The FASB, an independent organization, is responsible for establishing and updating these guidelines known as GAAP.

GAAP provides a framework for recording, summarizing, and reporting financial transactions and events in a standardized manner. It encompasses various principles, concepts, and rules that guide the preparation of financial statements, such as the balance sheet, income statement, and statement of cash flows. These statements provide crucial information about a company's financial position, performance, and cash flow.

The FASB continually reviews and updates the GAAP to reflect changes in business practices, financial reporting needs, and regulatory requirements. By following GAAP, CPAs ensure that financial statements are prepared in a consistent and reliable manner, enabling users, such as banks, investors, and creditors, to make informed decisions based on the financial information provided.

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An investment that pays $2000 every month for 10 years is worth today. Assume a 12% annual percentage rate and the first payment is made one month from today.
119,577.25
120,456.67
139,401.04
150,000.99

Answers

The investment is worth $119,577.25 today. This can be calculated using the present value formula, taking into account the monthly cash flow, interest rate, and time period. (Option A)

To calculate the present value of the investment, we need to discount each monthly cash flow to its present value and sum them up. Using the present value of an ordinary annuity formula, with a cash flow of $2000, an interest rate of 12% divided by 12 (monthly rate), and a time period of 10 years (120 months), we can find the present value.

PV = CF x [1 - [tex](1+r)^{(-n)[/tex]] / r

PV = $2000 x [1 - [tex](1+0.12/12)^{(-120)[/tex]] / (0.12/12)

Simplifying this equation will give us the present value, which is approximately $119,577.25. Therefore, the investment is worth $119,577.25 today.

In conclusion, the investment with a monthly payment of $2000 for 10 years, at an annual percentage rate of 12%, is worth approximately $119,577.25 today. This value represents the present worth of the future cash flows when discounted at the given interest rate. It demonstrates the importance of considering the time value of money in determining the present value of an investment.

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The demand for a product in the past 10 months were: 608,661,471,753,789,489,791,790,746,598 Suppose a four-month moving average method is used to generate forecasts. What is the forecasted demand in month 10 ? Use at least 4 decimal places.

Answers

Given the demand for a product in the past 10 months: 608,661,471,753,789,489,791,790,746,598. We need to determine the forecasted demand in month 10, using the four-month moving average method.

For the 4-month moving average, we need to add up demand for the last four months and divide by 4. The first four months' demand data are not useful for forecasting as they do not give us four data points. Hence, the data for the past six months will be used to generate forecasts. The calculation is shown below:MonthDemand4-month Moving Average

Forecast7412,609,179,393,3947935,347,874,631,3268443,764,881,262,6039196,207,034,400,9369609,431,916,248,1501,0312,226,249,561,667We see that the forecasted demand in month 10 using the four-month moving average method is 2,226,249,561,667  The 4-month moving average method is a forecasting method that involves computing the average of demand for the last four periods to make a forecast for the next period. The method is used for short-term forecasting and is helpful in smoothing out the random variation in demand data.

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CASE:
Your team has just been hired by a company to advise the firm’s capital budgeting division. The company has raised a sum of money, which will be invested in a new project. From your team of financial specialists, they are seeking advice on the financial feasibility of one of the proposed projects, and its potential effects on the wealth of the shareholders of the company.
Over the last two years, the company has already spent $100,000 on R&D for the newly proposed project. If the company would decide to actually go ahead with the project, the initial investment in the required equipment is expected to be $1,040,000. The new project is expected to run for 10 years, and after that point the project will be retired. The expectation is that at the end of the project, the assets of the project can be sold at a residual value of only 4% of their original value. Half of the total sum which the company has raised for this project has been borrowed at an interest rate equal to the average cost of debt of the company of 4.4%.
In the first year the project is expected to generate a revenue of $624,000, and in the following years the revenues of this new project are expected to grow by 8.4% each year. Your team will have to determine the rest of the cash flows associated with this proposed project. The CFO of the company has indicated that it would be reasonable to expect that the operating costs of the new plant will be of similar proportion relative to the revenues as the company’s other projects, which is at 65%. The new project would require an additional NWC of $20,800. Depreciation of the new equipment should be done in a straight-line over the full life of the project to a value of 0.
Based on the already existing projects of the company, which will be running for the foreseeable future, the company is currently able to pay a stable yearly dividend of $5.00 per share. The company has 100,000 shares outstanding, and the shareholders require a return of 14.7%. The company is financed for 70% with equity, and 30% with debt (that is including the new loan). The effective tax rate for the company is 14%.
If the company would decide to go ahead with the project, the yearly cash flows of the project can be partially paid out to the shareholders, and partially reinvested in other projects.
The CFO has indicated that the company intends to have a payout ratio of 40%, such that each year 40% of free cash flows of the project will be paid as dividends.
A demonstration of the expected yearly cash flows from the project. Remember,
members of the senior management team often do not have a finance background, so you will have to present clear tables which show the calculation of the free cash flows, and clearly explain how the free cash flows were computed. You basically have to explain them to them in your presentation how capital budgeting works.
Advise on whether or not the company should go ahead with the proposed project. The advice of your team should be based on your estimations of the NPV and the IRR of the proposed project. Again, you will need to explain to executive team what exactly the NPV and IRR metrics are, how they are computed and why they are helpful for making investment decisions. The CFO has asked to use the company’s overall cost of capital as discount rate.

Answers

The financial feasibility of the proposed project can be evaluated by calculating the Net Present Value (NPV) and Internal Rate of Return (IRR). NPV measures the project's profitability by discounting the expected future cash flows to their present value and subtracting the initial investment. IRR is the discount rate at which the project's NPV equals zero.


To calculate the cash flows, subtract the operating costs (65% of revenues) and depreciation (straight-line) from the revenues for each year. Deduct the increase in net working capital (NWC) and the tax (14%) from the cash flows. Finally, calculate the free cash flows by applying the payout ratio of 40% to the remaining cash flows.

To compute NPV, discount the free cash flows using the company's overall cost of capital (equity weight * equity cost + debt weight * debt cost). Sum the discounted cash flows and subtract the initial investment.

IRR can be calculated using the trial and error method or financial software. It is the discount rate at which the NPV equals zero.

After calculating NPV and IRR, compare them to the company's required rate of return (14.7%). If NPV is positive and IRR exceeds the required rate of return, the project is financially feasible and the company should proceed with it. Provide a clear presentation to the executive team, explaining the calculations and the significance of NPV and IRR in investment decision-making.

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If the present value of $1.00 received n years from today at an interest rate of r is 0.7635, then what is the future value of $1.00 invested today at an interest rate of ror n years?

Answers

The future value of $1.00 invested today at an interest rate of 5% for 10 years is approximately $1.6289.

The future value of an investment represents the value it will have in the future after earning interest. It is calculated using the formula FV = PV * (1 + r)^n, where PV is the present value (initial investment), r is the interest rate, and n is the time period in years.

For example, if $1.00 is invested today with an interest rate of 5% (0.05) for 10 years, the future value would be calculated as follows: FV = 1.00 * (1 + 0.05)^10 = 1.00 * 1.6289 = 1.6289.

This means that the initial investment of $1.00 would grow to approximately $1.6289 in 10 years, considering a 5% interest rate. The formula allows for the estimation of future values based on the present value and the interest rate over a given time period.

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Carisbad Corporation's sales are expected to increase from $5 million in 2021 to $6 milion in 2022 , or by 20%. Its assets totaled 52 million at the end of 2021. Carlsbad is at full capacity, so its assets must qrow in proportion to projected sales. At the end of 2021 , current liabilities are 51 millian, consisting of $250,000 of accounts payable, $500,000 of notes payable, and $250,000 of accrued liabilities. Its profit margin is forecasted to be 5%, and the forecasted retention ratio is 40%. Use the AFN equation to forecast the additional funds Carlsbad will need for the coming year Write out your answer completely. For example, 5 million should be entered as 5,000,000. Round your answer to the nearest dollar. 5 What additional funds would be needed if the company's year-end 2021 assets had been 43 million? Assume that all other numbers are the same. Write. out your answer completely. For example, 5 million should be entered as 5,000,000. Round your answer to the nearest dollar- 5 Is the company's "capital intensity" the same or different comparing to initial situation? The firm's capital intensity ratio in the new situation is

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The company's year-end 2021 assets had been $43,000,000, Carisbad Corporation would need additional funds of approximately $671,500,       Capital Intensity Ratio:  8.6.

To forecast the additional funds Carisbad Corporation will need for the coming year, we can use the Additional Funds Needed (AFN) equation:

AFN = (A*/S)(ΔS) - (L*/S)(ΔS) - MS1

Where:

A* = Target assets

S = Sales

ΔS = Change in sales

L* = Target liabilities

MS1 = Increase in retained earnings

Let's calculate the AFN based on the given information:

Sales in 2021 = $5,000,000

Sales in 2022 = $6,000,000

ΔS = $6,000,000 - $5,000,000 = $1,000,000

Assets in 2021 = $52,000,000

Target assets (A*) = $6,000,000 / $5,000,000 * $52,000,000 = $62,400,000

Current liabilities in 2021 = $51,000,000

Target liabilities (L*) = $51,000,000

Profit margin = 5% = 0.05

Retention ratio = 40% = 0.40

MS1 = $6,000,000 * 0.05 * (1 - 0.40) = $180,000

AFN = ($62,400,000 / $6,000,000) * $1,000,000 - ($51,000,000 / $6,000,000) * $1,000,000 - $180,000

= $104,000 - $8,500 - $180,000

= -$84,500

Therefore, Carisbad Corporation would need additional funds of approximately -$84,500 (rounded to the nearest dollar).

If the company's year-end 2021 assets had been $43,000,000, we can repeat the calculation:

Target assets (A*) = $6,000,000 / $5,000,000 * $43,000,000 = $51,600,000

AFN = ($51,600,000 / $6,000,000) * $1,000,000 - ($51,000,000 / $6,000,000) * $1,000,000 - $180,000

= $860,000 - $8,500 - $180,000

= $671,500

Therefore, if the company's year-end 2021 assets had been $43,000,000, Carisbad Corporation would need additional funds of approximately $671,500 (rounded to the nearest dollar).

Regarding the company's "capital intensity," it refers to the ratio of total assets to sales. In the initial situation, the capital intensity ratio can be calculated as:

Capital Intensity Ratio = Assets / Sales

= $52,000,000 / $5,000,000

= 10.4

In the new situation where the year-end 2021 assets are $43,000,000, the capital intensity ratio would be:

Capital Intensity Ratio = $43,000,000 / $5,000,000

= 8.6

Therefore, the company's capital intensity ratio is different in the new situation compared to the initial situation, indicating a lower capital intensity ratio.

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Alpha Partnership is owned 60 percent by W and 40 percent by P, who agree to share profits according to
their ownership ratios. For the current year, Alpha earned $12,000 in ordinary income. The partnership
distributed $3,000 to Wand $2,000 to P.
a. Calculate the amount of income allocated to W and P.
b. How much income is to be taxed to each of the taxpayers involved?
c. Assuming beginning Basis for W was 2,000, what is his ending basis.

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a. The income allocated to W is $7,200, and the income allocated to P is $4,800.

b. The taxable income for W is $4,200, and the taxable income for P is $2,800.

c. W's ending basis is $6,200.

a. The amount of income allocated to W and P can be calculated based on their ownership ratios. W owns 60% of the partnership, while P owns 40%.

Income allocated to W = 60% of $12,000

Income allocated to W = $7,200

Income allocated to P = 40% of $12,000

Income allocated to P = $4,800

b. The income allocated to each partner will be taxed based on their individual tax rates. To determine the taxable income, we subtract the distributed amounts from the allocated income.

Taxable income for W = $7,200 - $3,000 (distributed amount)

Taxable income for W = $4,200

Taxable income for P = $4,800 - $2,000 (distributed amount)

Taxable income for P = $2,800

c. To calculate W's ending basis, we need to consider the beginning basis and adjust it for the allocated income and distributions.

Beginning basis for W = $2,000

Allocated income for W = $7,200

Distributed amount to W = $3,000

Ending basis for W = Beginning basis + Allocated income - Distributed amount

Ending basis for W = $2,000 + $7,200 - $3,000

Ending basis for W = $6,200

a. The income allocated to W is $7,200, and the income allocated to P is $4,800.

b. The taxable income for W is $4,200, and the taxable income for P is $2,800.

c. W's ending basis is $6,200.

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Explore the various major ways that goodwill has been accounted for over the years. Discuss the strengths and weaknesses of each method. (14 marks)

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Goodwill is an intangible asset that represents the reputation, customer base, brand value, and other non-physical assets of a company. Over the years, there have been various methods to account for goodwill. Let's explore them and discuss their strengths and weaknesses.

1. Purchase Method: Under this method, goodwill is recorded as the difference between the purchase price and the fair value of identifiable net assets.Strengths: It provides a clear valuation of goodwill based on market prices.Weaknesses: It relies on subjective judgments to determine fair value.

2. Capitalization Method: This method involves capitalizing the excess earnings generated by goodwill. Strengths: It aligns goodwill with the economic benefits it generates. Weaknesses: It requires estimating future earnings, which can be uncertain.

3. Impairment Test: This method assesses the carrying value of goodwill periodically and reduces it if necessary. Strengths: It ensures that goodwill is not overstated. Weaknesses: It relies on subjective judgments to determine impairment.

4. Amortization Method: Previously, goodwill was amortized over a specified period. Strengths: It spreads the cost of goodwill over its estimated useful life. Weaknesses: It doesn't reflect the ongoing value of goodwill.

5. Non-amortization Method: Currently, under International Financial Reporting Standards (IFRS) and Generally Accepted Accounting Principles (GAAP), goodwill is not amortized. Instead, it is subject to impairment testing. Strengths: It aligns with the notion that goodwill has an indefinite useful life. Weaknesses: It can result in an overstatement of goodwill if the impairment is not properly assessed.

In conclusion, the major ways of accounting for goodwill include the purchase method, capitalization method, impairment test, amortization method (used in the past), and non-amortization method (currently used). Each method has its strengths and weaknesses, such as providing market-based valuation, aligning with economic benefits, or relying on subjective judgments. The choice of method depends on accounting standards, company preferences, and the need for accurate valuation of goodwill.

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A campaign consulting company is debating whether to allocate funds for negative advertising in the 2024 presidential race across all the battleground states. To inform this decision, the company randomly chooses some cities in which to air the ad and others that will not get the ads aired. This approach to generating knowledge is known as a. big data analytics. b. field experiments. c. focus groups. d. polling.

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b. field experiments involve randomly assigning different treatments or interventions to different groups or locations in order to assess their impact or gather information.

In this case, the campaign consulting company is randomly selecting cities to air the negative ad and comparing the outcomes with cities where the ad is not aired.

This approach allows them to study the effects of negative advertising and make an informed decision about whether to allocate funds for it in the presidential race.

By randomly selecting some cities to air the negative ad and others to not air the ad, the company can compare the outcomes between the two groups. They can analyze factors such as voter response, candidate favorability, or changes in polling numbers to assess the effectiveness of the negative advertising strategy.

This allows them to gather empirical evidence and make data-driven decisions about whether to allocate funds for negative advertising in the 2024 presidential race.

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Assess EU values and define personal values and attitudes. Inputs of this analysis should be included in a graph or any figure.

- Evaluate the role of EU as enabler and shaper of one’s consciousness, reflection and virtues.

- Identify key factors to reshape and reframe core beliefs for a favorable flourishing life.

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The European Union (EU) values are inspired by its history, which is marked by the tragedies of two world wars, and the endeavor for peaceful cooperation, democracy, and human rights. These values are laid down in the EU treaties.

According to the EU treaties, the EU is founded on the values of respect for human dignity, freedom, democracy, equality, the rule of law, and respect for human rights. These values are enshrined in the Charter of Fundamental Rights of the European Union, which sets out the fundamental rights of EU citizens as well as the rights of individuals living within the EU.As human beings, each person has their own personal values and attitudes that guide their behavior and shape their perspectives of the world. Personal values are beliefs that are important to an individual and inform their decisions and actions. Attitudes are a person’s feelings or opinions about a particular subject or situation, which can be positive, negative, or neutral.

In terms of the role of the EU in shaping personal values and attitudes, the EU can be seen as an enabler and shaper of one’s consciousness, reflection, and virtues. Through its values of respect for human dignity, freedom, democracy, equality, the rule of law, and respect for human rights, the EU promotes a set of moral principles that can inspire individuals to reflect on their own values and attitudes and strive to become better versions of themselves. The EU also provides a platform for individuals to come together and exchange ideas and perspectives, which can lead to a better understanding of others and more tolerant attitudes towards diversity and difference.In order to reshape and reframe core beliefs for a favorable flourishing life, there are several key factors that can be identified.

These include:

1. Reflection: Taking time to reflect on one’s values and beliefs, and how they shape one’s life and interactions with others.

2. Education: Learning about different cultures, traditions, and perspectives, and expanding one’s knowledge and understanding of the world.

3. Empathy: Developing the ability to put oneself in others’ shoes and see the world from their perspective.

4. Respect: Treating others with respect and dignity, regardless of their background, beliefs, or opinions.

5. Open-mindedness: Being open to new ideas and perspectives, and willing to challenge one’s own assumptions and beliefs.

6. Self-awareness: Being aware of one’s own biases, prejudices, and limitations, and striving to overcome them.

7. Positive relationships: Building positive relationships with others, based on trust, respect, and mutual understanding.

8. Service: Contributing to the common good, and using one’s talents and abilities to make a positive difference in the world.

In conclusion, the EU values of respect for human dignity, freedom, democracy, equality, the rule of law, and respect for human rights can inspire individuals to reflect on their own values and attitudes and strive to become better versions of themselves. By promoting a set of moral principles that emphasize the importance of reflection, education, empathy, respect, open-mindedness, self-awareness, positive relationships, and service, individuals can reshape and reframe their core beliefs for a more favorable flourishing life.

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Makers of plastic water bottles must advertise 10% more to offset completely the 4% decline in sales due to heightened environmental concem. The advertising elasticity of demand is: 4.0. 0.4 2.5. 0.25. 020

Answers

The negative sign shows an inverse relationship between advertising and demand. An increase in advertising leads to a decrease in quantity demanded. The absolute value of 0.4 represents the magnitude of the elasticity.

To calculate the advertising elasticity of demand, we use the formula:

Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Advertising)

In this scenario, we are given that there is a 4% decline in sales due to heightened environmental concerns, and makers of plastic water bottles must advertise 10% more to offset this decline.

To calculate the % Change in Quantity Demanded, we consider the 4% decline in sales. A decline in sales indicates a negative change, so the % Change in Quantity Demanded is -4%.

To calculate the % Change in Advertising, we consider the 10% increase in advertising. An increase in advertising indicates a positive change, so the % Change in Advertising is 10%.

Substituting these values into the formula, we have:

Elasticity of Demand = (-4%) / (10%)

Elasticity of Demand = -0.4

The negative sign in the elasticity value indicates an inverse relationship between advertising and demand. In this case, it means that as advertising increases by 10%, the quantity demanded decreases by 4%.

However, since elasticity is typically discussed in absolute terms, we consider the absolute value of the elasticity, which is 0.4. This indicates that for a 10% increase in advertising, there is a 0.4% decrease in quantity demanded.

Therefore, the correct answer is:

b. 0.4, which represents the absolute value of the advertising elasticity of demand.

The correct format of the question should be:

Makers of plastic water bottles must advertise 10% more to offset completely the 4% decline in sales due to heightened environmental concem. The advertising elasticity of demand is:

a. 4.0.

b. 0.4 2.5.

c. 0.25.

d. 020

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Consider a position that is comprised of two stocks A and B. The position in stock A is valued at £150,000 and has daily standard deviation of returns of 2%. The stock B position is valued at £80,000 and has daily standard deviation of returns of 0.6%. Returns in stock A and B are normally distributed and have correlation 0.7. Based on the above and the table in the Appendix: a) Calculate the 1-week 95% VaR of stock A [5 marks] b) Calculate the 1-week 95% expected shortfall of stock A [10 marks] c) Calculate the 1-week 95% VaR of the portfolio. By how much does diversification reduce the VaR? [20 marks] d) Calculate the marginal and the component VaR of each position. Interpret your results

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a) The 1-week 95% VaR of stock A is £22,751.17.b) The 1-week 95% expected shortfall of stock A is £30,078.39.c) The 1-week 95% VaR of the portfolio is £26,116.81.d) The marginal VaR of stock A is £19,105.81 and the component VaR is £3,645.36.

a) To calculate the 1-week 95% VaR of stock A, we multiply the position value by the daily standard deviation and then by the z-score corresponding to the desired confidence level. Using the table, the z-score for a 95% confidence level is approximately 1.645. Thus, the VaR of stock A is £150,000 * 2% * 1.645 = £4,920.00.

b) The 1-week 95% expected shortfall of stock A is calculated by multiplying the VaR by the ratio of the standard normal distribution's density function to the complementary cumulative distribution function at the corresponding confidence level. The expected shortfall of stock A is £4,920.00 * (1/0.05) * (1/sqrt(2*pi)) * exp(-0.5 * (1.645^2)) = £7,815.39.

c) To calculate the 1-week 95% VaR of the portfolio, we need to consider the correlation between stocks A and B. The formula for the portfolio VaR is sqrt((wA^2 * VaRA^2) + (wB^2 * VaRB^2) + (2 * wA * wB * CovAB)), where wA and wB are the weights of stocks A and B, VaRA and VaRB are their respective VaRs, and CovAB is their covariance. Plugging in the values, we find the portfolio VaR to be £26,116.81. Diversification reduces the VaR by £19,712.33.

d) The marginal VaR of stock A represents its contribution to the portfolio's VaR. It is calculated by taking the difference between the portfolio VaR and the VaR when stock A is excluded. The marginal VaR of stock A is £19,105.81. The component VaR of stock A is its stand-alone VaR, which is £3,645.36. These values help in understanding the risk contribution and the standalone risk of stock A within the portfolio.

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"I just heard on the news that GDP is higher this year than it was last year. This means that we are better off this year than last year." Discuss/comment

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GDP (Gross Domestic Product) being higher this year than it was last year does not necessarily mean that everyone is better off this year than last year. GDP is a measure of the total value of goods and services produced in a country, but it does not measure the distribution of that wealth.

GDP is an indicator of economic growth. It is calculated by measuring the value of all goods and services produced in a country over a given period of time, usually a year. A higher GDP indicates that the economy is growing and producing more goods and services. However, it does not necessarily mean that everyone in the country is better off.In fact, GDP can be high while some people in the country are experiencing hardship. For example, if the benefits of economic growth are not distributed equally, then some people may still be struggling to make ends meet even though the overall economy is growing. Additionally, GDP does not measure factors such as environmental sustainability, social equality, or happiness. Therefore, it is important to look beyond GDP to get a more complete picture of the well-being of a country and its citizens.In conclusion, while a higher GDP can be a positive indicator of economic growth, it is important to look beyond GDP to determine the overall well-being of a country and its citizens.

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Consider the following quote, made by a business consultant: "Traditionally, we would expect fourth-quarter output to fall given the recent similar declines in public sector spending and taxes. But given the recent surge in consumers’ propensity to spend out of income, we should expect the tax cut to have a relatively greater effect than would be predicted by traditional models. So I see no reason to be concerned about weak fourth-quarter growth." Use the model to assess whether the business consultant’s prediction makes sense. Consider the following quote, made by a business consultant: "Traditionally, we would expect fourth-quarter output to fall given the recent similar declines in public sector spending and taxes. But given the recent surge in consumers’ propensity to spend out of income, we should expect the tax cut to have a relatively greater effect than would be predicted by traditional models. So I see no reason to be concerned about weak fourth-quarter growth." Use the model to assess whether the business consultant’s prediction makes sense.

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The business consultant's prediction seems to make sense based on the model they mentioned. Traditionally, a decline in public sector spending and taxes would lead to a decrease in fourth-quarter output. However, the consultant argues that the recent surge in consumers' propensity to spend out of income would have a greater effect than predicted by traditional models.

This is because the tax cut would increase consumers' disposable income, which could potentially offset the decline in public sector spending.

Therefore, the consultant believes that the fourth-quarter growth would not be weak. It is important to note that without specific data or a detailed analysis of the model, it is difficult to provide a definitive assessment of the consultant's prediction. However, based on the information provided, their reasoning appears logical.

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Jamie Lee Jackson, age 24, now a busy full-time college student and part-time bakery clerk, has been trying to organize all of her priorities, including her budget. She has been wondering if she is allocating enough of her income towards savings, which includes accumulating enough money towards the $9,000 down payment she needs to begin her dream of opening a cupcake café Jamie Lee has been making regular deposits to both her regular, as well as her emergency savings account. She would really like to sit down and get a clearer picture of how much she is spending on various expenses, including rent, utilities, entertainment and how her debt compares to her savings and assets. Jamie Lee's telephone is currently paid for by her father as she is on the family phone plan She realizes that she must stay on track and keep a detailed budget if she is to realize her dream of being self-employed after college graduation Use the information below to record Jamie Lee's inflows and outflows of cash for a one-month period. Each answer must have a value for the assignment to be complete. Enter "O" for any unused categories Current Financial Situation Assets Checking account Emergency fund savings account Monthly Expenses: $2,000 Rent obligation $4,600 Utilities/electricity $5,500 Utilities/water $1,250 Utilities/cable TV $240 $90 $50 $135 ar Computer & iPad Liabilities: Student loan Credit card balance Income: Gross monthly salary Net monthly salary Savings allocation: Regular savings Rainy day savings Food $110 $60 $60 $60 $6,900 Gas/maintenance $1,150 Credit card payment Car insurance $2,305 Clothing $1,895 Entertainment: Cake decorating class Movies with friends $30 $65 $145 $35 For month ending 31-Dec Cash Inflows Salary (take-home) Other income Other income Total Cash Outflows Fixed expenses Mortgage or rent Loan/credit card payment Insurance Other Total fixed outflows 0 Variable expenses Food Clothing Electricity Telephone Water Transportation Personal care Medical expenses Recreation/entertainment Gifts Donations Cable Other Total variable outflows Total outflows Surplus (deficit) Allocation of surplus Emergency fund savings Financial goal savings Other savings

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Jamie Lee Jackson’s net monthly salary is $6,900, and her monthly expenses are $6,225. She can save a surplus amount of $675.

Jamie Lee Jackson is trying to keep up with her budget so that she can save money and open her cupcake cafe. She would like to know if she's allocating enough of her income towards savings, including accumulating enough money towards the $9,000 down payment she needs to begin her dream.

Given below is the summary of inflows and outflows of cash for a one-month period.Cash InflowsSalary (take-home) = $6,900Other income = $0Other income = $0Total = $6,900Cash OutflowsFixed expensesMortgage or rent = $2,000Loan/credit card payment = $120Insurance = $2,305Other = $0Total fixed outflows = $4,425Variable expensesFood = $110

Clothing = $60Electricity = $240Telephone = $0Water = $135 Transportation = $1,150Personal care = $60Medical expenses = $0Recreation/entertainmentCake decorating class = $65Movies with friends = $35Other = $145Total variable outflows = $1,800Total outflows = $6,225Surplus (deficit) = $675Allocation of surplusEmergency fund savings = $0Financial goal savings = $0Other savings = $675

Jamie Lee Jackson’s net monthly salary is $6,900, and her monthly expenses are $6,225. She can save a surplus amount of $675. However, her emergency fund savings and financial goal savings are zero. She can allocate this surplus amount in her emergency fund savings or financial goal savings or in any other savings account as per her requirement.

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Final answer:

Jamie Lee's monthly cash inflow is $6,900, and her outflow (total expenses) is $18,560, indicating a major deficit in her budget. She needs to revisit her spending and consider ways of growing her income to save for her financial goals.

Explanation:

From the data provided, Jamie Lee's inflow and outflow of cash for a month can be organized as follows:

Cash Inflows: Gross monthly salary ($6,900)Cash Outflows:Fixed expenses: Rent ($2,000), Credit card payment ($1,150), Car insurance ($2,305) - Total: $5455Variable expenses: Food ($110), Clothing ($1,895), Utilities ($10,790), Gas/maintenance ($60), Entertainment ($240) - Total: $13,105

Therefore, the total cash outflow is $18,560, which is significantly more than her inflow of $6,900. This shows a major deficit in her monthly budget. Jamie Lee needs to revisit her spending habits and consider ways of increasing her income to be able to save enough money and achieve her financial goals.

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activity-based costing assigns cost to cost objects by first a. tracing costs to products and then tracing costs to cost objects b. tracing costs to departments and then tracing costs to products c. tracing costs to activities and then tracing costs to cost objects d. tracing costs to customers and then tracing costs to products

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Activity based costing assigns cost to cost objects by first C. Tracing costs to activities and then tracing costs to cost objects.

Activity-based costing assigns cost to cost objects by first tracing costs to activities and then tracing costs to cost objects.

Activity-based costing (ABC) is a costing method that allocates indirect costs to cost objects using a two-stage allocation process.

It was created in the United States in the 1980s to address the perceived inadequacy of traditional costing systems in accurately identifying the real costs of producing goods and services.

Activity-based costing works by breaking down overhead costs into various activities and allocating them to individual products or services based on how much each product or service relies on the activity to operate.

ABC is a method of cost accounting that identifies activities in an organization and assigns the cost of each activity to all products and services according to the actual consumption of each activity by each product or service.

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A flower shop uses 320 clay pots a month. The pots are purchased for $2 each. Annual holding cost is estimated to be 24 percent of purchase cost, and ordering cost is $27 per order. The manager has been using an order quantity of 320 flower pots.
a. Calculate the EOQ. (Round the final answer to the nearest whole number.)
b. Calculate the EOQ’s total annual inventory control cost. (Round the final answer to 2 decimal places.) TC $
c. What additional annual inventory control cost is the shop incurring by using the current order quantity? (Round the final answer to 2 decimal places.) Additional cost $

Answers

First of all, we will find out the Annual Demand which is 320 pots as given in the question. Using the values of D, S, and H, we get the EOQ quantity.

Calculation of EOQ: The Economic Order Quantity (EOQ) formula is Q = √[(2DS) / H] whereQ

= EOQ quantityD

= Annual DemandS

= Ordering CostH

= Holding CostSo

First of all, we will find out the Annual Demand which is 320 pots as given in the question. Using the values of D, S, and H, we get the EOQ quantity:

Q = √[(2DS) / H]Q

= √[(2 x 320 x $27) / 0.24 x $2]Q

= √(17,280)Q

= 131.44 ≈ 131

Total Annual Inventory Control Cost (TC) = Annual ordering cost + Annual holding cost

TC = [(D/Q) x S] + [(Q/2) x H]Here,D

= Annual Demand (320 pots)Q

= EOQ (131 pots)S

= Ordering Cost ($27)H

= Holding Cost (24% of purchase cost) x Purchase costD/Q

= Number of orders placed in a year

= 320/131 ≈ 2.44

TC = [(D/Q) x S] + [(Q/2) x H]TC

= [(320/131) x $27] + [(131/2) x (0.24 x $2)]TC

= $65.27 + $31.44TC

= $96.71 ≈ $96.72

= TC of current order quantity - TC of EOQAdditional annual inventory control cost

= {[(D/Q) x S] + [(Q/2) x H]} - {[(D/131) x $27] + [(131/2) x (0.24 x $2)]}Using the values of D, Q, S, and H,

we get: Additional annual inventory control cost

= {[(320/320) x $27] + [(320/2) x (0.24 x $2)]} - {[(320/131) x $27] + [(131/2) x (0.24 x $2)]}Additional annual inventory control cost

= $108.72 - $96.71Additional annual inventory control cost

= $12.01

= $12.00

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a. The the EOQ is 106 pots (rounded to the nearest whole number).

b. Plugging in the values, we have: TC = (106 * 27) + (3,840 / 106 * 230.40) = $2,884.38.
c. The additional cost is $2,884.38 - TC (calculated in part b) (rounded to 2 decimal places).

a. To calculate the Economic Order Quantity (EOQ), we can use the formula: EOQ = sqrt((2 * annual demand * ordering cost) / holding cost). Given that the flower shop uses 320 clay pots per month, the annual demand is 320 * 12 = 3,840 pots.

The ordering cost is $27 per order. The holding cost is 24% of the purchase cost, which is 24% of ($2 * 3,840) = $230.40. Plugging these values into the EOQ formula, we get: EOQ = sqrt((2 * 3,840 * 27) / 230.40) = 106.

Therefore, the EOQ is 106 pots (rounded to the nearest whole number).

b. To calculate the EOQ's total annual inventory control cost, we need to consider the ordering cost and holding cost.

The total annual inventory control cost (TC) can be calculated using the formula: TC = (EOQ * ordering cost) + (annual demand / EOQ * holding cost).

Plugging in the values, we have: TC = (106 * 27) + (3,840 / 106 * 230.40) = $2,884.38.

c. To calculate the additional annual inventory control cost incurred by using the current order quantity, we need to compare it with the EOQ.

The additional cost can be calculated as the difference between the total annual inventory control cost using the current order quantity and the total annual inventory control cost using the EOQ.

Therefore, the additional cost is $2,884.38 - TC (calculated in part b) (rounded to 2 decimal places).

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You would like to pay $20,000 cash for a new car 4 years from today. How much will you need to deposit in a savings account paying 4% today in order to afford the new car in 4 years?

Answers

To afford a new car costing $20,000 in 4 years, you would need to deposit an amount in a savings account today that will grow to the desired amount.

To know more about the calculation and how much you need to deposit, you would use the formula:

Present Value = Future Value / (1 + Interest Rate)^n

where Future Value is the desired amount ($20,000), Interest Rate is the annual interest rate (4% or 0.04), and n is the number of years (4).

By plugging in the values into the formula, you can calculate the present value:

Present Value = $20,000 / (1 + 0.04)^4

Calculating this, you would find that the amount you need to deposit in the savings account today to afford the new car in 4 years is approximately $16,374.

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