Sarasota Corp. issued 72,000 shares of common stock for $4 per share, 1,240 shares of preferred stock for $55 per share, and 117,000 shares of common stock for $8 per share during the first year.
How many shares of stock issued by Sarasota Corp. in the first year?To record the stock transactions of Sarasota Corp., we need to track the issuance of preferred and common stock and calculate the amounts received from each issuance. Let's go through each transaction step by step:
1. Jan. 10: Issued 72,000 shares of common stock for cash at $4 per share.
The common stock has no-par value, so we will record it at the stated value of $3 per share.
Calculation:
Number of shares issued: 72,000
Price per share: $4
Stated value of common stock: $3 per share
Journal entry:
Date: Jan. 10
Account Debit Credit
Cash $288,000 (72,000 shares x $4 per share)
Common Stock $216,000 (72,000 shares x $3 per share)
Additional Paid-in Capital - Common Stock $72,000 [($4 - $3) x 72,000 shares]
2. Mar. 1: Issued 1,240 shares of preferred stock for cash at $55 per share.
Calculation:
Number of shares issued: 1,240
Price per share: $55
Par value of preferred stock: $52 per share
Journal entry:
Date: Mar. 1
Account Debit Credit
Cash $68,200 (1,240 shares x $55 per share)
Preferred Stock $64,480 (1,240 shares x $52 per share)
Additional Paid-in Capital - Preferred Stock $3,720 [($55 - $52) x 1,240 shares]
3. May 1: Issued 117,000 shares of common stock for cash at $8 per share.
Calculation:
Number of shares issued: 117,000
Price per share: $8
Stated value of common stock: $3 per share
Journal entry:
Date: May 1
Account Debit Credit
Cash $936,000 (117,000 shares x $8 per share)
Common Stock $351,000 (117,000 shares x $3 per share)
Additional Paid-in Capital - Common Stock $585,000 [($8 - $3) x 117,000 shares]
4. Sept. 1: Issued 5,400 shares of common stock for cash at $9 per share.
Calculation:
Number of shares issued: 5,400
Price per share: $9
Stated value of common stock: $3 per share
Journal entry:
Date: Sept. 1
Account Debit Credit
Cash $48,600 (5,400 shares x $9 per share)
Common Stock $16,200 (5,400 shares x $3 per share)
Additional Paid-in Capital - Common Stock $32,400 [($9 - $3) x 5,400 shares]
5. Nov. 1: Issued 3,400 shares of preferred stock for cash at $56 per share.
Calculation:
Number of shares issued: 3,400
Price per share: $56
Par value of preferred stock: $52 per share
Journal entry:
Date: Nov. 1
Account Debit Credit
Cash $190,400 (3,400 shares x $56 per share)
Preferred Stock $176,800 (3,400 shares x $52 per share)
Additional Paid-in Capital - Preferred Stock $13,600 [($56 - $52) x 3,400 shares]
At the end of these transactions, you can sum up the total amounts received from each type
of stock issuance:
Total cash received from common stock issuances: $288,000 + $936,000 + $48,600 = $1,272,600
Total cash received from preferred stock issuances: $68,200 + $190,400 = $258,600
Please note that this information is provided for illustrative purposes only, and it's always recommended to consult with a professional accountant or financial advisor for specific accounting needs.
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The petty cash fund of the Brooks Agency is established at $200. At the end of the current period, the fund contained $135 and had the following receipts: film rentals, $10, refreshments for meetings, $21 (both expenditures to be classified as Entertainment Expense); postage, $24; and printing, $10.
Prepare journal entries to record (a) establishment of the fund and (b) reimbursement of the fund at the end of the current period.
Identify the two events from the following that cause a Petty Cash account to be credited in a journal entry. And Identify the two events from the following that cause a Petty Cash account to be credited in a journal entry.
Establishment of the fund and Reimbursement of the fund are two events that cause a Petty Cash account to be credited in a journal entry.
Petty cash is a small sum of money that a company sets aside to cover small purchases. Petty cash may be used to purchase anything from office supplies to snack foods and drinks. It is also known as a petty cash fund.What is the Journal Entry?A journal entry is a method of recording transactions that affect a company's financial statements. Debits and credits are used to record transactions in a journal entry. The total debits must equal the total credits, as per the double-entry accounting system.
Therefore, the journal entry to record the establishment of the Petty Cash Fund and the reimbursement of the Petty Cash Fund are:Journal entry to establish the Petty Cash Fund:Petty Cash (Dr) - $200Cash/Bank (Cr) - $200Journal entry for the reimbursement of the Petty Cash Fund:Entertainment Expense (Dr) - $31Postage Expense (Dr) - $24Printing Expense (Dr) - $10Cash/Bank (Cr) - $65Petty Cash (Cr) - $65Note: To balance the journal entries, the debits and credits have to be equal.
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Cycle (Pty) Ltd, a bicycle manufacturer company based in joburg, has been operating for 15 years out of a rental and would like to know whether it would make sense to purchase a new building . Cycle (Pty) Ltd. has been granted an initial loan of R60 million by Time Bank, with an interest of 8% per annum. The new factory will cost R55 million to build up the new state of the setup. The other R5 million will be used to acquire new manufacturing machiney which will have an specialist come in at a cost of 150 000.00 to assemble the machines. The factory will be depreciated over 50 years, while sars will give a 5% wear and tear allowance. The factory will produce 100000 bikes parts per month for the first year at variable manufacturing cost of R5 per part. The parts will be sold at R15 per part. The operating income will increase as follows per annum:
5% Year 1
7 % Year 2
9% Year 3
Year 4 and 5 will be consistent with year 3. The machine has a 5‐year useful life, while sars allows a 50% allowance in year 1 and thereafter a split of 10% per year. The machine has a salvage value of R250 000.00.
The corporate tax rate is 27%. The weighted average cost of capital is 8%. The IRR is 10%.
Using the NPV method, indicate whether Cycle (Pty)Ltd should open a factory or not.
State all quantitative and qualitative reasons.
To determine whether Cycle (Pty) Ltd should open a factory or not, we will use the Net Present Value (NPV) method. NPV calculates the present value of cash flows associated with an investment by discounting them at the weighted average cost of capital (WACC). If the NPV is positive, it indicates that the investment is expected to generate more value than the initial cost.
Let's calculate the NPV of the investment in the new factory:
Initial cost:
Building cost: R55 million
Machinery cost: R5 million
Assembly cost: R150,000
Total initial cost: R60,150,000
Cash inflows:
Operating income generated by the factory
Year 1: 100,000 parts/month * R15/part * 12 months * (1 + 5%) = R18,900,000
Year 2: R18,900,000 * (1 + 7%) = R20,223,000
Year 3: R20,223,000 * (1 + 9%) = R22,037,470
Year 4: R22,037,470
Year 5: R22,037,470
Total cash inflows: R103,197,940
Cash outflows:
Depreciation expense (building): R55,000,000 / 50 years = R1,100,000/year
Wear and tear allowance (building): R55,000,000 * 5% = R2,750,000/year
Depreciation expense (machinery): R5,000,000 / 5 years = R1,000,000/year
Wear and tear allowance (machinery):
Year 1: R5,000,000 * 50% = R2,500,000
Year 2: R5,000,000 * 10% = R500,000
Year 3: R5,000,000 * 10% = R500,000
Year 4: R5,000,000 * 10% = R500,000
Year 5: R5,000,000 * 10% = R500,000
Total cash outflows: R8,850,000
Tax savings due to depreciation and wear and tear allowances:
Year 1: (R2,750,000 + R2,500,000 + R150,000) * 27% = R1,032,750
Year 2: (R1,100,000 + R500,000) * 27% = R378,000
Year 3: (R1,100,000 + R500,000) * 27% = R378,000
Year 4: (R1,100,000 + R500,000) * 27% = R378,000
Year 5: (R1,100,000 + R500,000) * 27% = R378,000
Total tax savings: R2,544,750
Calculate the present value of cash inflows and outflows using the WACC of 8%:
PV of cash inflows: R103,197,940 / (1 + 0.08)^1 + R103,197,940 / (1 + 0.08)^2 + R103,197,940 / (1 + 0.08)^3 + R22,037,470 / (1 + 0.08)^
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Assume the Capital Asset Pricing Model (CAPM) holds. The expected annual return of stock A is 6%. The annual risk-free rate was 5% and the expected annual return of the market was 7%. If the standard deviation of annual return of stock A was 15% and the standard deviation of annual return of the market was 10%, what is the correlation between annual returns of stock A and the market?
A. 0.5
B. 0.33 C. 0.66 D. −0.66 E. 1
The answer is option B . To find the correlation between the annual returns of stock A and the market, we will first calculate the beta of stock A using the Capital Asset Pricing Model (CAPM). The CAPM equation is:
Expected return of stock A = Risk-free rate + Beta * (Expected return of the market - Risk-free rate)
Given:
Expected return of stock A = 6%
Risk-free rate = 5%
Expected return of the market = 7%
We can now solve for Beta:
6% = 5% + Beta * (7% - 5%)
1% = Beta * 2%
Beta = 0.5
Next, we need to find the correlation between stock A and the market. The formula for Beta is:
Beta = (Correlation * Standard deviation of stock A) / Standard deviation of the market
We can now solve for the correlation:
0.5 = (Correlation * 15%) / 10%
Rearrange the equation and solve for Correlation:
Correlation = (0.5 * 10%) / 15%
Correlation = 0.33
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ferguson furniture group has adopted an ethnocentric staffing policy. based on this, where are most of the decisions made for the home and host country facilities?
Most of the decisions for the home and host country facilities are made in the home country because Ferguson Furniture Group has adopted an ethnocentric staffing policy.
An ethnocentric staffing policy is one in which employees from the home country are hired to work in the host country's subsidiaries. As a result, the home country's culture and practices are preferred and implemented throughout the company. According to the ethnocentric staffing policy, most of the decisions for the home and host country facilities are made in the home country. Ferguson Furniture Group is an example of a company that employs an ethnocentric staffing policy. It hires employees from the home country to work in the host country's subsidiaries. When a company employs an ethnocentric staffing policy, the home country's culture and practices are given priority and are implemented throughout the company. This policy helps the parent company maintain control over its subsidiaries while also ensuring that the parent company's culture and practices are maintained. As a result, it is usually the parent company that makes decisions for the home and host country facilities. In conclusion, because Ferguson Furniture Group has adopted an ethnocentric staffing policy, most of the decisions for the home and host country facilities are made in the home country.
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Class Practice Question 1: Sales = $250,000 (50,000 units) Total variable expenses = $190,000 Total fixed expenses = $36000 Find a. Contribution Margin b. Contribution Margin Ratio e. Break-even point
a. The contribution margin is $60,000.b. The contribution margin ratio is 24%. c. The break-even point is 6,000 units or $30,000 in sales.
a. Contribution Margin: To calculate the contribution margin, subtract total variable expenses ($190,000) from sales ($250,000). Contribution Margin = $250,000 - $190,000 = $60,000 b. Contribution Margin Ratio: To calculate the contribution margin ratio, divide the contribution margin ($60,000) by sales ($250,000) and multiply by 100 to get the percentage. Contribution Margin Ratio = ($60,000 / $250,000) * 100 = 24% c. Break-even Point: To calculate the break-even point in units, divide the fixed expenses ($36,000) by the contribution margin per unit.
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Technical compliance with GAAP (generally accepted accounting principle) in the financial statements will insulate an issuer of financial statements from enforcement actions by the SEC.
a. True
b. False
The statement is false. While technical compliance with GAAP is an important aspect of preparing financial statements, it does not guarantee immunity from enforcement actions by the Securities and Exchange Commission (SEC) or other regulatory bodies.
GAAP provides a set of accounting principles and guidelines that govern the preparation and presentation of financial statements. Compliance with GAAP ensures that the financial statements are prepared in accordance with the recognized standards and are fairly presented. However, it does not eliminate the need for accurate and transparent reporting or prevent the SEC from taking enforcement actions if it identifies fraudulent or misleading practices, intentional misstatements, or violations of securities laws.
The SEC has the authority to investigate and take enforcement actions against companies that violate securities laws, regardless of whether their financial statements are in compliance with GAAP. The SEC's focus extends beyond technical compliance and includes areas such as material misstatements, inadequate disclosures, insider trading, and other fraudulent activities.
Therefore, while GAAP compliance is important, it does not provide complete insulation from enforcement actions by the SEC if other violations or misconduct are identified.
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22. Billman Corporation has an investment opportunity that would require an up-front investment of $7,000,000 in assets and would bring in additional revenues of $3,000,000 each year for 4 years. The
The NPV of the investment opportunity is $9,513,059.
To evaluate the investment opportunity presented by Billman Corporation, we can use the Net Present Value (NPV) method. The NPV calculates the present value of cash flows associated with the investment and compares it to the initial investment cost. If the NPV is positive, it indicates that the investment is expected to generate more value than the initial cost.
In this case, the investment requires an up-front cost of $7,000,000 in assets, and it is expected to bring in additional revenues of $3,000,000 each year for 4 years.
To calculate the NPV, we need to discount the future cash flows to their present value using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10% for this analysis.
First, let's calculate the present value of the annual cash flows for 4 years:
Year 1:
PV of Year 1 Cash Flow = $3,000,000 / (1 + 0.10) ^ 1 = $2,727,273
Year 2:
PV of Year 2 Cash Flow = $3,000,000 / (1 + 0.10) ^ 2 = $2,479,339
Year 3:
PV of Year 3 Cash Flow = $3,000,000 / (1 + 0.10) ^ 3 = $2,254,853
Year 4:
PV of Year 4 Cash Flow = $3,000,000 / (1 + 0.10) ^ 4 = $2,052,594
Next, we sum up the present values of all cash flows:
NPV = PV of Year 1 Cash Flow + PV of Year 2 Cash Flow + PV of Year 3 Cash Flow + PV of Year 4 Cash Flow
NPV = $2,727,273 + $2,479,339 + $2,254,853 + $2,052,594
NPV = $9,513,059
The NPV of the investment opportunity is $9,513,059.
If the NPV is positive, it indicates that the investment is expected to generate more value than the initial cost. In this case, the positive NPV suggests that the investment has the potential to generate a return higher than the company's cost of capital.
However, it's important to consider other factors such as the company's risk tolerance, strategic objectives, and the potential risks and uncertainties associated with the investment. It's recommended to conduct a comprehensive analysis considering all relevant factors before making a final decision on whether to pursue the investment opportunity.
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Grover has forecast sales to be $130,000 in February, $144,000 in March, $150,000 in April, and $146,000 in May. The average cost of goods sold is 80% of sales. All sales are on made on credit and sales are collected 65% in the month of sale, and 35% the month following. What are budgeted cash receipts in March?
The budgeted cash receipts in March are $139,100, considering the collection patterns and timing of sales.
How to calculate the budgeted cash receipts in March?To calculate the budgeted cash receipts in March, we need to consider the collection patterns and timing of sales.
Given information:
- February sales: $130,000
- March sales: $144,000
- April sales: $150,000
- May sales: $146,000
Based on the collection patterns, 65% of February sales will be collected in February, while 35% will be collected in March.
Cash receipts in March will include the collections for March sales, as well as the collections for the 35% of February sales that were not collected in February.
Calculating the budgeted cash receipts in March:
March Cash Receipts = Collections for March Sales + Collections for February Sales
Collections for March Sales = 65% of March Sales
Collections for February Sales = 35% of February Sales
Collections for March Sales = 0.65 * $144,000 = $93,600
Collections for February Sales = 0.35 * $130,000 = $45,500
March Cash Receipts = $93,600 + $45,500 = $139,100
Therefore, the budgeted cash receipts in March are $139,100.
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Characteristics of Groups Please select the term that best completes each of the following sentences. If you've experienced groups that were close and loyal and groups that weren't, you know how important cohesiveness can be to group performance role structure Your teacher asks you to complete a team project. The due date is in 5 weeks, but beyond that, you don't cohesiveness the project deliverables. You are experiencing_role ambiguity norms At The Martin Agency, employees dress casually on most days. But if a client or prospective client will be is, except for the creative department. They only appear in jeans. This is an example of affinity hal dress is expected-that norm variation Please select the best answer from the choices provided The programming team at Zynga has a low level of cohesiveness. What reason might explain this?
The best reason that might explain the low level of cohesiveness in the programming team at Zynga is the fact that there is role ambiguity. Role ambiguity occurs when group members are unclear about what their duties and responsibilities entail.
When this happens, group members may become frustrated, feel lost, or experience a lack of direction, which can harm the cohesiveness of the group as a whole. Thus, the reason that might explain the low level of cohesiveness in the programming team at Zynga is the fact that there is role ambiguity. content loaded Characteristics of Groups Please select the term that best completes each of the following sentences.
If you've experienced groups that were close and loyal and groups that weren't, you know how important cohesiveness can be to group performance role structure Your teacher asks you to complete a team project. The due date is in 5 weeks, but beyond that, you don't cohesiveness the project deliverables. You are experiencing _role ambiguity norms At The Martin Agency, employees dress casually on most days. But if a client or prospective client will be is, except for the creative department. They only appear in jeans. This is an example of affinity dress is expected-that norm variation Please select the best answer from the choices provided The programming team at Zynga has a low level of cohesiveness.
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Given the following data on the number of desks sold at a furniture for a 4-period time frame:
Period Demand
1 280
2 300
3 320
4 350
The manager wants to use Weighted Moving Average method to forecast the demand of desk in
period 5. The manager refers to the management science textbook, and decides the weights he
wants to use is 0.1, 0.2, 0.3, and 0.4. What is the forecasted demand in period 5?
Given that data on the number of desks sold at a furniture for a 4-period time frame are Period Demand1 2802 3003 3204 350The manager wants to use Weighted Moving Average method to forecast the demand of desk in period 5.
The manager refers to the management science textbook, and decides the weights he wants to use is 0.1, 0.2, 0.3, and 0.4.To calculate the weighted moving average, multiply each period by its assigned weight. Add the products together, then divide by the sum of the weights. That is, we have 4 periods, each with a different demand level and different weights. Assuming the manager wants to use the following weights: 0.1, 0.2, 0.3, and 0.4Weighted moving average for period 5 = (0.1 * 280) + (0.2 * 300) + (0.3 * 320) + (0.4 * 350) = 28 + 60 + 96 + 140 = 324 desks Therefore, the forecasted demand in period 5 is 324 desks.
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Lisa wants to buy a car when she graduates from Central University 4 years from now. She believes that she will need $29,700 to buy the car. Click here to view the factor table. (a) Calculate how much money Lisa must put into her savings account today to have $29,700 in 4 years, assuming she can earn 10% compounded annually. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to o decimal place, e.g, 58,975.) Amount $ (b) Calculate how much money Lisa must put into her savings account today to have $29,700 in 4 years, assuming she can earn 10% compounded semiannually. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to O decimal place, e.g. 58,975.) Amount $ ..........
To calculate how much money Lisa must put into her savings account today, we can use the concept of present value.
The present value represents the current value of a future amount of money, considering a specified interest rate and time period.
(a) Assuming a 10% interest rate compounded annually, we can use the Present Value of $1 table to find the corresponding factor for 4 years at 10%. According to the table, the factor is 0.6830.
To calculate the amount Lisa must put into her savings account today, we divide the desired future amount by the factor:
Amount = Future Value / Factor
Amount = $29,700 / 0.6830
Amount = $43,486.39
Therefore, Lisa must put $43,486.39 into her savings account today to have $29,700 in 4 years, assuming a 10% interest rate compounded annually.
(b) Assuming a 10% interest rate compounded semiannually, we need to adjust the interest rate and the compounding period.
The interest rate per compounding period is 10% / 2 = 5% (since semiannual compounding).
The number of compounding periods in 4 years is 4 x 2 = 8 (since semiannual compounding).
Using the Present Value of $1 table, the factor for 8 periods at 5% is 0.6806.
Amount = Future Value / Factor
Amount = $29,700 / 0.6806
Amount = $43,660.75
Therefore, Lisa must put $43,660.75 into her savings account today to have $29,700 in 4 years, assuming a 10% interest rate compounded semiannually.
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The first step under the step-down method is:
A. apply a cost to the secondary support departments.
B. determine the overhead base for each production department.
C.allocate total support department costs to production departments.
D. choose a sequence in which to allocate support department costs.
The first step under the step-down method is (A) to apply a cost to the secondary support departments.
The step-down method is a commonly used allocation method for distributing support department costs to production departments. It considers the interrelationships between support departments and aims to allocate costs in a systematic and logical manner.
The first step in the step-down method is to apply a cost to the secondary support departments. This means that the costs incurred by secondary support departments are allocated to themselves based on their own cost drivers or allocation bases. This step ensures that the costs of secondary support departments are accounted for before moving on to allocating costs to production departments.
Once the costs are applied to the secondary support departments, the next steps involve determining the overhead base for each production department, allocating total support department costs to production departments, and choosing a sequence in which to allocate support department costs.
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Address the following issues about ford motor company: A brief summary of the type of business you have decided to analyze, including the name of the business, location of the business, and the business model (i.e. how does this business add value and generate profit?).
Describe in detail a list of expenses that the business incurs which are fixed, variable, or mixed. Be specific.
Add a column to the above list of expenses and describe which expenses are product or period expenses, and why.
Discuss what you know about inventory management, what are some important considerations regarding inventory management that apply to the business you are analyzing? Be specific.
The business being analyzed is Ford Motor Company, a multinational automotive company headquartered in Dearborn, Michigan, USA.
Ford operates in the automobile manufacturing industry and follows a business model that involves designing, manufacturing, marketing, and servicing automobiles. The company generates profit through the sale of vehicles, parts, and related services.
Ford Motor Company incurs various expenses in its operations, which can be categorized as fixed, variable, or mixed.
Fixed Expenses: These expenses remain relatively constant regardless of the level of production or sales. Examples of fixed expenses for Ford include:
Rent and lease expenses for manufacturing facilities, offices, and dealerships.
Salaries and benefits for permanent employees.
Insurance premiums.
Property taxes.
Variable Expenses: These expenses fluctuate in direct proportion to the level of production or sales. Some examples of variable expenses for Ford include:
Cost of raw materials and components used in manufacturing vehicles.
Direct labor costs related to the assembly and production of vehicles.
Sales commissions and incentives paid to dealers.
Freight and transportation costs.
Mixed Expenses: Mixed expenses have both fixed and variable components. They may vary to some extent based on production or sales volume, but also contain a fixed portion. Examples of mixed expenses for Ford include:
Utilities expenses (e.g., electricity, water) for manufacturing facilities.
Maintenance and repair costs for production equipment.
Advertising and marketing expenses.
In terms of product or period expenses, most of Ford's expenses are product expenses as they are directly related to the production and sale of vehicles. This includes expenses such as raw materials, direct labor, and manufacturing overhead. However, some expenses, such as advertising and marketing, can be considered period expenses as they are incurred to promote the company's products and maintain its brand presence over a specific period.
Inventory management is crucial for Ford as an automotive manufacturer. Some important considerations for inventory management in this industry include:
Just-in-time (JIT) Inventory: Ford, like other automobile manufacturers, follows the JIT inventory system to minimize carrying costs and optimize production efficiency. This involves maintaining a lean inventory and relying on efficient supply chain management to deliver materials and components as needed.
Seasonal Demand: Ford needs to carefully manage its inventory to align with seasonal demand fluctuations. For example, demand for certain vehicle models may be higher during specific times of the year, and inventory levels must be adjusted accordingly to meet customer demand without excess or shortage.
Parts and Components Management: Ford also needs to effectively manage its inventory of parts and components to ensure efficient production and timely delivery of vehicles. This involves forecasting demand, monitoring supplier performance, and implementing effective inventory control systems.
Obsolescence Risk: Given the rapid technological advancements in the automotive industry, Ford needs to be mindful of the risk of inventory obsolescence. Managing inventory turnover and minimizing excess inventory of outdated components or models is essential to avoid losses.
By effectively managing inventory levels, optimizing production processes, and aligning with market demand, Ford can enhance operational efficiency, minimize costs, and ensure timely delivery of vehicles to customers.
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We assume that we have a finite population of size N. We first define the location param- eters of such distributions and then show how to estimate them from a realised random sample of size n. It seems reasonable first to read Section 1.3. The usual procedure is sampling without replacement; when we sample with replacement the factor √1-\frac{n)}{N} in some of the formulae below is dropped. We write Y1 , Y 2, ..., Yn for the N values in the finite population with expectation μ = * - ∑^N =j = 1 Yj- μ^2 and variance σ^2 = \frac{1)}{N-1} ∑^N =j = 1 (Yj – μ)2 for sampling without replacement or σ^2 = \frac{1)}{N} ∑^N =j = 1 (Yj – μ)2 = \frac{N-1)}{N} σ^2 for sampling with replacement. The quantity MSEÑ) = var (μ) + B^2 (μ) with the bias B^2 = μ – E (μ) of the estimator Ñ is called the mean square error (MSE) of μ. Problem 2.15 The expectation μ of a of finite population is to be estimated from the realisation of a pure random sample or a systematic sampling with random start. Give the estimates of the unbiased estimator for μ and of the estimator of the standard error of the estimator of μ.
To estimate the expectation μ of a finite population from a realized random sample, we can use unbiased estimators.
Let's denote the random sample as Y1, Y2, ..., Yn, where n is the sample size and N is the population size.
Unbiased Estimator for μ:
The unbiased estimator for μ is given by the sample mean (Ȳ):
Ȳ = (1/n) * Σ(Yi)
This estimator provides an unbiased estimate of the population mean.
Estimator of the Standard Error of the Estimator of μ:
The standard error of the estimator measures the variability or uncertainty of the estimate. For sampling without replacement, the estimator of the standard error (SE) of the estimator of μ is:
SE = √[(1 - (n/N)) * (s^2/n)]
where s^2 is the sample variance:
s^2 = [(1/(n-1)) * Σ((Yi - Ȳ)^2)]
For sampling with replacement, the estimator of the standard error is:
SE = √[(1/N) * (s^2/n)]
Note that the standard error decreases as the sample size increases, indicating a more precise estimate of μ with larger samples.
These estimators provide estimates of μ and the standard error of the estimator, allowing us to quantify the accuracy and precision of our estimate of the population mean in a finite population.
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when government sets the price of a good and that price is below the equilibrium price, the result will be (a) a surplus of the good (b) a shortage of the good (c) an increase in the demand for the good (d) a decrease in the supply of the good
When the government sets the price of a good below the equilibrium price, the result will be (b) a shortage of the good.
The equilibrium price is determined by the intersection of the demand and supply curves in a market. It represents the price at which the quantity demanded by consumers equals the quantity supplied by producers.
If the government sets a price below the equilibrium price, it creates a situation where the price is artificially low. This price control, known as a price ceiling, leads to a shortage of the good. The quantity demanded by consumers exceeds the quantity supplied by producers at the lower price, resulting in a shortage.
As a result, consumers are unable to purchase the quantity they desire at the lower price, leading to an imbalance in the market. The shortage can lead to various consequences such as long waiting lines, black market activities, and a misallocation of resources.
Therefore, when the government sets a price below the equilibrium price, it creates a shortage of the good due to the mismatch between demand and supply.
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Use the net FUTA tax rate of 0.6% on the first $7,000 of taxable wages. Aaron Norman earned $24,900 for the year from Marcus Company. The company is subject to a SUTA tax of 4.7% on the first $9,900 of earnings. Determine: (Round your answers to two decimal places, if necessary.) a. the employer's FUTA tax on Norman's earnings $_____. b. the employer's SUTA tax on Norman's earnings $____
a. The employer's FUTA tax on Norman's earnings $42. b. The employer's SUTA tax on Norman's earnings $465.30.
a. To calculate the employer's FUTA tax on Norman's earnings, we need to determine the taxable wages and apply the net FUTA tax rate.
The taxable wages for FUTA tax are capped at $7,000. Since Aaron Norman earned $24,900, the taxable wages for FUTA tax would be $7,000 (the maximum taxable amount).
Employer's FUTA tax = Taxable wages × FUTA tax rate
Employer's FUTA tax = $7,000 × 0.6% = $42.
Therefore, the employer's FUTA tax on Norman's earnings is $42.
b. To calculate the employer's SUTA tax on Norman's earnings, we need to determine the taxable wages and apply the SUTA tax rate.
The taxable wages for SUTA tax are capped at $9,900. Since Aaron Norman earned $24,900, the taxable wages for SUTA tax would be $9,900 (the maximum taxable amount).
Employer's SUTA tax = Taxable wages × SUTA tax rate
Employer's SUTA tax = $9,900 × 4.7% = $465.30.
Therefore, the employer's SUTA tax on Norman's earnings is $465.30.
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Define the term ‘collateral’, and briefly explain its’ purpose
in the context of information asymmetry.
Collateral refers to an asset or property that is pledged by a borrower to a lender as security for a loan or debt. It serves as a form of protection for the lender in case the borrower defaults on the loan. If the borrower fails to repay the loan as agreed, the lender has the right to seize and sell the collateral to recover the outstanding debt.
In the context of information asymmetry, collateral plays an important role in mitigating the lender's risk. Information asymmetry occurs when one party involved in a transaction (in this case, the borrower) has more information or better knowledge about the true value or risk of the transaction than the other party (the lender).
By requiring collateral, lenders can reduce the adverse effects of information asymmetry. The collateral provides an additional layer of assurance to the lender, as it creates a tangible asset that can be used to recover the loan amount if the borrower defaults. This helps to offset the lender's risk and provides them with a source of repayment.
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the relationship between healthcare data interchange standards and terminologies is:
Data interchange standards strictly define their terminologies.
Data interchange standards rely on existing terminologies.
Data interchange standards strictly define terminologies for some purposes and rely on existing terminologies for others.
Data interchange standards have no relationship to terminologies.
The relationship between healthcare data interchange standards and terminologies is that data interchange standards strictly define terminologies . Option a is correct.
The relationship between healthcare data interchange standards and terminologies is complex and multifaceted. Data interchange standards are sets of rules and guidelines that govern the format, structure, and content of healthcare data exchange. They ensure consistency and interoperability between different healthcare systems and organizations.
In terms of terminologies, data interchange standards may include their own standardized terminologies for specific purposes. These terminologies are strictly defined and used within the context of the data interchange standard. However, data interchange standards also rely on existing terminologies that are widely accepted and used in the healthcare domain. These existing terminologies, such as SNOMED CT or ICD-10, provide a common language and coding system for describing medical conditions, procedures, and other healthcare concepts.
Therefore, the relationship between healthcare data interchange standards and terminologies is not binary. It involves a combination of strictly defined terminologies within the standards themselves and the utilization of existing terminologies to ensure effective communication and data exchange in the healthcare industry.
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The complete question is
The relationship between healthcare data interchange standards and terminologies is:
A. Data interchange standards strictly define their terminologies.
B. Data interchange standards rely on existing terminologies.
C. Data interchange standards strictly define terminologies for some purposes and rely on existing terminologies for others.
D. Data interchange standards have no relationship to terminologies.
The assumption of the internal growth rate is that
Asset growth comes from external debt and equity at a constant proportion.
Asset growth comes from external debt and equity at a decreasing proportion.
Asset growth is financed from additions to retained earnings
Asset growth comes from additions to retained earnings and new debt.
2. Which was not listed as a problem with the percent of sales approach?
There may be fixed costs.
It may require sophisticated mathematics
Assets may come in fixed sizes.
Debt and equity may not increase at the same rate.
3. With common-size statements, items on the balance sheet are divided by:
Assets
Revenue
Sales
Equity
The assumption of the internal growth rate is that asset growth comes from additions to retained earnings and new debt.
What is the source of asset growth in the internal growth rate assumption?The internal growth rate assumes that asset growth is financed through additions to retained earnings and new debt. This means that the company's growth is primarily funded by the profits retained within the business and by taking on additional debt to finance expansion. The assumption suggests that the company can sustain its growth without relying heavily on external equity financing.
By utilizing retained earnings and new debt, the company can control its growth rate and maintain a stable proportion between debt and equity. This approach allows the company to maintain financial stability while gradually expanding its asset base.
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QUESTION 11 Consider the following payoff Table Decision Alternative D₁ D₂ 4 D3 10 4 What is the payoff value for the D2 under 52 should be to keep the optimal solution always optimal?(Do not writ
The payoff value for d2 should be at least 4 to keep the optimal solution always optimal.
to determine the payoff value for d2 under which 52 should be to keep the optimal solution always optimal, we need to apply the maximin criterion.
the maximin criterion involves finding the maximum value in each row of the payoff table and then selecting the decision alternative that corresponds to the minimum of these maximum values. this approach ensures that the worst-case scenario for each decision alternative is maximized.
given the table:
decision alternative d₁ d₂
payoff 4 d₃
we can see that the payoff value for d2 is not provided. however, we can still determine the minimum value that d2 should have to keep the optimal solution always optimal.
if we assume that d₃ has a payoff of 4, the maximum value in the second row (corresponding to d₂) would be 4. to maintain an optimal solution, we need to ensure that the value of d2 is greater than or equal to this maximum value of 4.
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QUESTION 12 The characteristics that money should have include O portability, durability, and flexibility durability, flexibility and stability Odurability, portability, and non-homogeneity. scarcity,
The characteristics that money should have include portability, durability, and stability.
Portability refers to the ease with which money can be carried and exchanged for goods and services. Money should be lightweight and easily transferable.
Durability means that money should be able to withstand wear and tear over time. It should not easily deteriorate or lose its value due to physical damage.
Stability implies that the value of money should remain relatively constant over time. Excessive fluctuations in the value of money can create economic instability and uncertainty.
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Administrative expenses include a payment of £165,000 for insurance, which covers the period 1 December 2019 to 30 November 2020.
As Midnight Ltd's year end is 31 March 2020, how much should administrative expenses be reduced by?
As Midnight Ltd's year-end is March 31, 2020, the company only uses four months of the insurance. The period between 1 December 2019 to 31 March 2020 is four months. To determine how much Midnight Ltd.'s administrative costs should be reduced by, we must first divide the annual cost by 12 and then multiply it by 4.
This would give us the cost of the insurance coverage for the four-month period. After that, we can deduct it from the total administrative expenses paid.Administrative costs are necessary expenses incurred by a firm in order to operate efficiently. This covers expenses such as rent, salaries, office supplies, and insurance coverage.
For Midnight Ltd, the administrative expenses should be reduced by £55,000 (1/3 of the annual cost of £165,000) for the four-month period from 1 December 2019 to 31 March 2020. Thus, administrative expenses should be reduced to £185,000 (i.e., £240,000 - £55,000).
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of All prices are rising the same amount. Jess says "I don't drive, so I spend much less on gas than the average person. That means my personal inflation is rising much slower than the CPI inflation." Is Jess correct? Why or why not?
Jess is incorrect. While it is true that Jess may spend less on gas due to not driving, the Consumer Price Index (CPI) measures the average price change across a basket of goods and services.
Jess's assumption overlooks the fact that the CPI reflects the average price change for a range of goods and services, not just gas. While Jess may spend less on gas, other expenses, such as food, housing, healthcare, and consumer goods, also contribute to the CPI calculation. If all prices are rising uniformly, it implies that the average prices of goods and services in the CPI basket are increasing at a certain rate. Even though Jess's personal spending on gas may not be affected as much, the overall inflation rate captured by the CPI would still impact other aspects of their expenses. Therefore, Jess's personal inflation rate would align with the CPI inflation, assuming all prices are rising uniformly.
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Kindly give me the GIVENS with complete and detailed solutions. Including cash flows thank you. Ten years ago, you deposited P5400 per month. You made the deposit for 6 years and then stopped. 4 years later, you established a belts and nuts factory, and start withdrawing P2,300 every month for advertisement. Money is worth 6% compounded monthly. How many months can you withdraw before the money is exhausted? What is the present worth of the withdrawal?
The number of months you can withdraw before the money is exhausted is approximately 49, and the present worth of the withdrawals is approximately P110,362.06.
Calculate the present worth?
To solve this problem, we need to calculate the present worth of the deposit made for 6 years and then calculate how many months you can withdraw P2,300 before the money is exhausted. We'll assume that the deposits and withdrawals occur at the end of each month.
First, let's calculate the present worth of the deposit made for 6 years. The formula to calculate the present worth of a series of equal cash flows is:
[tex]P = A * [(1 - (1 + r)^{(-n)}) / r],[/tex]
where:
P is the present worth,
A is the cash flow per period,
r is the interest rate per period, and
n is the number of periods.
In this case, the cash flow per period (deposit) is P5400, the interest rate per period is 6% (0.06/12 = 0.005), and the number of periods is 6 years * 12 months/year = 72 months.
Using the formula, we can calculate the present worth of the deposit:
[tex]P_{deposit} = P5400 * [(1 - (1 + 0.005)^{(-72)}) / 0.005]\\\\=\ P5400 * 47.8451\\\\ =\ P257,923.32[/tex]
So, the present worth of the deposit made for 6 years is approximately P257,923.32.
Now, let's calculate how many months you can withdraw P2,300 before the money is exhausted. We'll assume that the withdrawals start 4 years (48 months) after the last deposit.
To calculate the remaining balance after each withdrawal, we'll use the present worth formula again:
[tex]P = A * [(1 - (1 + r)^{(-n)}) / r],[/tex]
where:
P is the present worth (remaining balance),
A is the cash flow per period (withdrawal),
r is the interest rate per period, and
n is the number of periods.
In this case, the cash flow per period (withdrawal) is -P2300 (negative sign because it represents an outflow), the interest rate per period is 6% (0.06/12 = 0.005), and we need to find the number of periods.
We'll start with an initial remaining balance equal to the present worth of the deposit ([tex]P_{deposit}[/tex]).
Let's denote the number of periods as m.
[tex]P_{remaining\ balance} = P_{deposit}[/tex]
[tex]P_{remaining\ balance} = -P2300 * [(1 - (1 + 0.005)^{(-m)}) / 0.005][/tex]
To find the value of m, we need to solve this equation for m. However, solving it algebraically is complex. We'll use a numerical method such as trial and error or approximation.
Using an iterative approach, we can find that m = 49.0245 months.
So, you can withdraw approximately 49 months before the money is exhausted.
Finally, let's calculate the present worth of the withdrawals. We'll sum up the present values of each individual withdrawal.
[tex]P_{withdrawals} = P2300 * [(1 - (1 + 0.005)^{(-m)}) / 0.005][/tex]
[tex]P_{withdrawals} = P2300 * [(1 - (1 + 0.005)^{(-49.0245)}) / 0.005]\\\\ = P2300 * 48.1052\\\\ = P110,362.06[/tex]
Therefore, the present worth of the withdrawals is approximately P110,362.06.
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International Trade is one of the most interesting areas to study. Select how trade works between the United States and Mexico. Helpful resources include the World Trade Organization and the U.S. International Trade Administration.
International trade between the United States and Mexico is facilitated through various mechanisms and agreements.
What are the key aspects of trade between the United States and Mexico?Trade between the United States and Mexico is significant and encompasses a wide range of goods and services. Both countries have established a framework for trade cooperation through various mechanisms and agreements. The World Trade Organization (WTO) provides a platform for resolving trade disputes and promoting fair trade practices.
The U.S. International Trade Administration (ITA) plays a vital role in facilitating and promoting U.S. exports to Mexico and supporting American businesses in navigating the complexities of international trade. Additionally, the North American Free Trade Agreement (NAFTA), now replaced by the United States-Mexico-Canada Agreement (USMCA), outlines specific trade provisions and rules between these two countries. These resources offer valuable insights into the dynamics and regulations governing trade between the United States and Mexico.
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"Wool" Ltd. beginning balances of balance sheet accounts on 01.10 are in EUR: 1. Other fixed assets - 15 000 2. Accumulated depreciation of fixed assets - 5 000 3. Purchasers and commissioning party debts- 30 000 Inventories balances (on the 01.01.) open separately account for each kind of Inventory: 4. Fabrics -11 000 5. Unfinished orders -1000 6. Ready-made clothes in shop - 2000 7. Clothes in storehouse - 3000 8. Cash on hand - 3000 9. Bank account- 5000 10. Equity capital - 20 000 Retained profits brought forward previous year-2000 Accounts payable to suppliers and contractors-25 000 Payable Value added tax- 18 000 ➤ You have to open T-accounts for all positions, record all business transactions in October. ➤ You have to prepare turnover of accounts.
The given question does not provide the sales data. So, we cannot prepare a turnover of accounts. Accounts payable to suppliers and contractors, and Payable Value added tax. Inventories are kept separate in the accounts: Fabrics - €11 000 Unfinished orders - €1 000
The following T accounts need to be created for Wool Ltd. to record business transactions in October: Other fixed assets, Accumulated depreciation of fixed assets, Purchasers and commissioning party debts, Fabrics, Unfinished orders, Ready-made clothes in shop, Clothes in storehouse, Cash on hand, Bank account, Equity capital, Retained profits brought forward previous year, Accounts payable to suppliers and contractors, and Payable Value added tax. Inventories are kept separate in the accounts:
Fabrics - €11 000Unfinished orders - €1 000Ready-made clothes in shop - €2 000Clothes in storehouse - €3 000The total equity of the company is €20 000, and the retained profits brought forward from the previous year amount to €2 000. Accounts payable to suppliers and contractors are €25 000, and payable value-added tax is €18 000.Turnover of accounts is a statement that lists all sales or revenue-related transactions over a set period. It shows how much revenue a company has generated from selling its goods and services. In the accounting system, turnover of accounts is maintained to track sales transactions, and this statement can be used to prepare financial statements. However, the given question does not provide the sales data. So, we cannot prepare a turnover of accounts.
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The following information applies to the questions displayed below) Wardell Company purchased a mini computer on January 1, 2019, at a cost of $36,600. The computer has been depreciated using the straight-line method over an estimated five-year useful life with an estimated residual value of $3,600.
The annual depreciation expense for the mini computer is $6,600.Wardell Company is using the straight-line depreciation method to depreciate its mini computer, which has a useful life of five years and a residual value of $3,600.
The straight-line depreciation method is calculated by taking the depreciable cost of the asset, which is the cost of the asset minus its salvage value, divided by the useful life of the asset. To determine the yearly depreciation, simply divide the depreciable cost by the number of years in the useful life.
Using this information, the annual depreciation expense for the mini computer would be calculated as follows: Depreciable cost = cost of the asset - residual value = $36,600 - $3,600 = $33,000Annual depreciation expense = depreciable cost / useful life= $33,000 / 5 = $6,600.
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Happy Toes produces sports socks. The company has fixed expenses of $80,000 and variable expenses of $0.80 per package. Each package sells for $1.60. Read the requirements. Requirement 1. Compute the
To compute the break-even point for Happy Toes, we need to determine the number of packages the company needs to sell in order to cover its fixed and variable expenses. The break-even point is 100,000 packages, meaning that Happy Toes must sell at least 100,000 packages to cover its fixed and variable expenses and achieve a break-even position.
The break-even point can be calculated using the following formula:
Break-even point (in units) = Fixed expenses / Contribution margin per unit
The contribution margin per unit is the difference between the selling price per unit and the variable expenses per unit.
In this case, the fixed expenses are $80,000 and the variable expenses per package are $0.80. The selling price per package is $1.60.
To calculate the contribution margin per package:
Contribution margin per package = Selling price per package - Variable expenses per package
Contribution margin per package = $1.60 - $0.80 = $0.80
Now, we can calculate the break-even point:
Break-even point (in packages) = $80,000 / $0.80
The break-even point for Happy Toes is 100,000 packages.
The break-even point is the point at which the company's total revenue equals its total expenses, resulting in zero profit or loss. In this case, Happy Toes has fixed expenses of $80,000, which do not vary with the number of packages sold. The variable expenses per package are $0.80, meaning that for each package sold, the company incurs $0.80 in variable costs. The selling price per package is $1.60.
To cover the fixed expenses, Happy Toes needs to generate enough contribution margin per package to offset the fixed expenses. The contribution margin per package is calculated by subtracting the variable expenses per package from the selling price per package. In this case, the contribution margin per package is $0.80.
By dividing the fixed expenses ($80,000) by the contribution margin per package ($0.80), we can determine the number of packages the company needs to sell to break even. The break-even point is 100,000 packages, meaning that Happy Toes must sell at least 100,000 packages to cover its fixed and variable expenses and achieve a break-even position.
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Donald E. Petersen, chairman of the board of Ford Motor Company, remarked, "If we aren’t customer driven, our cars won’t be either." Explain how this statement reflects the marketing concept.
The statement made by Donald E. Petersen, "If we aren't customer-driven, our cars won't be either," reflects the core principle of the marketing concept. The marketing concept is a philosophy that places the customer at the center of all marketing activities.
Petersen's statement highlights the importance of being customer-driven in order to create cars that meet the needs and desires of customers. It recognizes that the success of a company, such as Ford Motor Company, depends on its ability to align its strategies, products, and services with the preferences and demands of its target customers.
By stating that "our cars won't be [customer-driven] either," Petersen implies that the company's success in the market is directly linked to its understanding of customers and their preferences. If Ford fails to prioritize the needs and wants of its customers, it risks producing cars that do not align with market demands.
This can result in decreased customer satisfaction, lower sales, and ultimately, a decline in the company's performance. It also implies that the company must continuously listen to customer feedback, conduct market research, and adapt its products and strategies accordingly to remain relevant and competitive.
Overall, Petersen's statement reflects the marketing concept by emphasizing the central role of the customer in driving business success.
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You have a 15 year maturity, 4% coupon, 6% yield bond with duration of 10.5 years and a convexity of 128.75. The bond is currently priced at $805.76. If the interest rate were to increase 200 basis points, your predicted new price for the bond (including convexity) is _________.
A) $638.85
B) $642.54
C) $666.88
D) $705.03
The correct option is D) $705.03. The predicted new price of the bond (including convexity) can be calculated by using the formula given below:Change in bond price = (- Modified duration x ∆y x P) + (Convexity x ∆y² x P).
Where,Modified duration (Dm) = 10.5 Convexity (C) = 128.75 Initial bond price (P) = $805.76∆y = Change in yield in decimal form = 0.02 Firstly, calculate the price change due to modified duration:Change in bond price due to modified duration= (- Modified duration x ∆y x P)=- (10.5 x 0.02 x $805.76)=- $168.99. Secondly, calculate the price change due to convexity:Change in bond price due to convexity= Convexity x ∆y² x P= 128.75 x (0.02)² x $805.76= $68.26. Lastly, add up the results of both calculations:Predicted new price of the bond = Initial bond price + Change in bond price= $805.76 - $168.99 + $68.26= $705.03.
Therefore, the predicted new price of the bond (including convexity) when the interest rate is increased 200 basis points is $705.03.
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