sum of $ 20,000 is borrowed at an interest rate of 8 percent on the unpaid balance compounded semiannually . The loan is to be paid back with 10 equal payments in 20 years . The payments are to be made every 2 years , starting at the end of the second year . What is the amount of each biennial payment ?

Answers

Answer 1

Simplifying the equation, we get:
$20,000 = P * (1.04^5 - 1) / 0.04
Now, solve for P:
P = $20,000 * 0.04 / (1.04^5 - 1)

The amount of each biennial payment can be calculated using the formula for the future value of an ordinary annuity.

First, let's calculate the number of periods. Since the loan is to be paid back with 10 equal payments in 20 years, and the payments are made every 2 years, there are 10/2 = 5 periods.

Next, we need to find the interest rate per period. The interest rate is 8 percent, compounded semiannually. Since the payments are made every 2 years, there are 2 semiannual periods in each 2-year period. So, the interest rate per period is 8/2 = 4 percent.

Now, let's calculate the future value of the loan. Using the formula: FV = P * ((1 + r)^n - 1) / r, where FV is the future value, P is the periodic payment, r is the interest rate per period, and n is the number of periods.

Plugging in the values, we have:
$20,000 = P * ((1 + 0.04)^5 - 1) / 0.04

Simplifying the equation, we get:
$20,000 = P * (1.04^5 - 1) / 0.04

Now, solve for P:
P = $20,000 * 0.04 / (1.04^5 - 1)

Calculating this expression gives us the amount of each biennial payment.

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Answer 2

The payments are to be made every 2 years, the amount of each biennial payment is approximately $28,277.56.

To calculate the amount of each biennial payment, we can use the formula for the future value of an annuity. In this case, the annuity is comprised of 10 equal payments made every 2 years over a period of 20 years.

First, we need to find the interest rate per period. Since the loan is compounded semiannually, we divide the annual interest rate of 8% by 2 to get 4% per period.

Next, we calculate the future value of the annuity. The present value (P) is $20,000. The number of periods (n) is 10 (since there are 10 equal payments). The interest rate per period (r) is 4%.

Using the formula for future value of an annuity, we have:

Future Value = [tex]\[ P \times \frac{{(1 + r)^n - 1}}{r} \][/tex]

Plugging in the values, we get:

Future Value = [tex]\[ \$20,000 \times \frac{{(1 + 0.04)^{10} - 1}}{0.04} = \$282,775.62 \][/tex]

To find the amount of each biennial payment, we divide the future value by the number of payments:

Amount of each biennial payment = $282,775.62 / 10 = $28,277.56



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Related Questions

The final materiality figure for the 2019 audit of Takunda (Pty) was set at R150 million. During the audit of Capital Assets, the auditors identified misstatements in the valuation of major moveable tangible assets. The financial reporting framework for Takunda requires that the company records assets on receipt of the item at cost of acquisition. Where the cost cannot be determined accurately, the asset should be stated at fair value. Where fair value cannot be determined, the asset should be included in the asset register at R1. Takunda's major movable tangible assets as disclosed in the financial statements did not in all instances reflect the cost or fair value of the assets and consequently assets were overvalued by R193 million. Discuss the effect of the misstatement identified on the audit opinion.

Answers

The effect of the misstatement identified on the audit opinion for Takunda (Pty) is that it will result in a qualified opinion. This is because material misstatements have been identified in the financial statements, particularly in the valuation of major moveable tangible assets.

The audit of the Capital Assets for Takunda (Pty) revealed that the financial statements did not reflect the cost or fair value of the assets and assets were consequently overvalued by R193 million. This overvaluation is way above the final materiality figure for the 2019 audit of Takunda (Pty) which was set at R150 million. The financial reporting framework for Takunda requires that the company records assets on receipt of the item at cost of acquisition. Where the cost cannot be determined accurately, the asset should be stated at fair value. Where fair value cannot be determined, the asset should be included in the asset register at R1. It is apparent that Takunda (Pty) did not follow the financial reporting framework in valuing its major moveable tangible assets. The material misstatements identified, particularly in the valuation of major moveable tangible assets, have a material impact on the financial statements and hence the audit opinion. The effect of the misstatement identified is that the audit opinion will be qualified because the financial statements have not been prepared in accordance with the financial reporting framework.

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You Company bought an asset for P100,000. The asset is estimated to have a useful life of 4 years, with a residual value at the end of this period of P6000. Calculate the value of the asset at the end of year 3.

Answers

The value of the asset at the end of year 3 is P53,000.

Asset purchased = P100,000Estimated useful life = 4 years Residual value at the end of 4 years = P6,000. The yearly depreciation for the asset can be calculated using the following formula: Annual Depreciation = (Cost of the asset - Residual value) / Useful life Annual Depreciation = (P100,000 - P6,000) / 4Annual Depreciation = P23,500.

Therefore, the value of the asset at the end of year 3 can be calculated as follows: Value of the asset at the beginning of year 3 = P100,000 - 2 * P23,500Value of the asset at the beginning of year 3 = P100,000 - P47,000Value of the asset at the beginning of year 3 = P53,000. Thus, the value of the asset at the end of year 3 is P53,000.

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Statement of Cash Flows (LG2-5) Use the balance sheet and income statement below. 2021 2020 $ 5 CLANCY'S DOO BISCUIT CORPORATION Balce sheet as of December 31, 2021 and 2020 in millions of dollars) 2921 2010 Listies and it Current liabilities $ 5 6 Merd ways and taxes 30 20 Account payable 22 33 Notes payable 501 $67 Total Long-ter det 3105 $ 86 Stockholders' equity 21 23 Preferred stock (2 million shares) $78 $63 Common stock and paid-in-surplus (5 million shares) 26 26 Retained earning $100 S0 Total $185 SI56 Total liabilities and equity Asta Current assets cash and marketable securities Accounts receivable Inventory Total Fixed assets Gross plant and equipment si Accumulated depreciation Net plant and quipment Other long-term assets Total Total asta $ 7 25 24 $ 56 $ 40 2: $ $ 2 $ 2 11 76 $89 5135 11 53 $ 66 5156 CLANCY'S DOG BISCUIT CORPORATION Income Statement for Years Ending December 31, 2021 and 2020 (in millions of dollars) 2021 2020 Net sales $ 104 $ 108 Less: Cost of goods sold 53 49 Gross profits 51 59 Less: Other operating expenses 6 5 Earnings before interest, taxes depreciation, and amortization (EBITDA) S 45 S 54 Less: Accumulated depreciation 4 4 Earnings before interest and taxes (EBIT) $ 41 s 54 Less: Interest 4 4 Earnings before taxes (EBT) $ 37 46 Less: Taxes B 10 Net income $ 29 36 Less: Preferred stock dividends $ 1 $ 1 Net income available to common stockholders $ 28 $ 35 Less: Common stock dividends 5 5 Addition to retained earnings $ 23 $ 30 Der (common) share data: Earnings per share (EPS) $ 5.60 $ 7.00 Dividends per share (DPS) $ 1.00 $ 1.00 Book value per share (BVPS) $17.40 $12.80 Market value (price) per share (MVPS) $18.05 $16.20 $ $ $ $ Prepare a statement of cash flows for Clancy's Dog Biscuit Corporation (Enter your answers in millions of dollars. Amounts to be deducted should be indicated with a minus sign.) Statement of Cash Flows for Your Ending December 31, 2021 (in millions of dollars) Cash flows from operating activities Additions (Oures of cash) Subtraction (as of cash) Netcash flow from operating activities Cash flows from investing activities Subtraction Net cash flow from investing activities Cash flows from financing activities Additions: Subtractions Net cash flow from financing activities Net change in cash and marketable securities

Answers

To prepare a statement of cash flows for Clancy's Dog Biscuit Corporation, we need to analyze the changes in cash and cash equivalents between the two years (2020 and 2021) based on the provided balance sheet and income statement then we have make Cash flows from operating activities,Cash flows from investing activities, Cash flows from financing activities,Calculate the net change in cash and marketable securities by summing the net cash flows from operating, investing, and financing activities.

To prepare a statement of cash flows for Clancy's Dog Biscuit Corporation, we need to analyze the changes in cash and cash equivalents between the two years (2020 and 2021) based on the provided balance sheet and income statement.

1. Cash flows from operating activities:
Start with net income from the income statement: $29 million in 2021 and $36 million in 2020.
Add back non-cash expenses such as depreciation: $4 million in both years.
Adjust for changes in working capital:
- Decrease in accounts receivable: $1 million (2020: $25 million, 2021: $24 million).
- Increase in inventory: $5 million (2020: $51 million, 2021: $56 million).
- Increase in accounts payable: $11 million (2020: $22 million, 2021: $33 million).
Calculate net cash flow from operating activities by summing these adjustments.

2. Cash flows from investing activities:
Analyze changes in fixed assets (plant and equipment):
- Gross plant and equipment increased by $6 million (2020: $135 million, 2021: $141 million).
- Accumulated depreciation increased by $1 million (2020: $11 million, 2021: $12 million).
Calculate net cash flow from investing activities by subtracting the change in fixed assets from the change in accumulated depreciation.

3. Cash flows from financing activities:
Analyze changes in long-term debt and equity:
- Change in long-term debt: Decrease of $3 million (2020: $86 million, 2021: $83 million).
- Change in stockholders' equity: Increase of $2 million (2020: $23 million, 2021: $25 million).
Calculate net cash flow from financing activities by summing these changes.

4. Calculate the net change in cash and marketable securities by summing the net cash flows from operating, investing, and financing activities.
Finally, add the net change in cash and marketable securities to the beginning cash balance to determine the ending cash balance for the year. Note: The amounts in the statement of cash flows should be presented in millions of dollars, as mentioned in the question.

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Sharon Gallagher, Josh Thomas, and Jo Wadley work for the audit firm W&S Partners. Sharon is an audit manager, Josh is an audit senior, and Jo is an audit partner. They meet to discuss the results of a survey of other offices of W&S Partners, as well as their own office. The survey was directed toward determining if W&S Partners had any independence problems with respect to a new prospective client, Cloud 9 Inc. Based on the survey, they learn the following:

i. Jo Wadley and David Collier (Cloud 9's CFO) both serve on the board of directors of the local chapter of Special Olympics.

ii. A tax senior in another office has a sister that consults with Cloud 9 on shoe design. Cloud 9 is her largest client.

iii. Fifteen employees of W&S Partners, ranging from partners to entry-level staff, own shares in retailers that sell Cloud 9 shoes.

iv. A survey shows that 23% of professional staff working for W&S Partners have purchased Cloud 9 shoes in the past.

Required

Evaluate each of the items above and their impact on the independence of W&S Partners with respect to Cloud 9. If relevant, list any additional actions you might take before making your independence recommendation to Jo Wadley.

Answers

The survey results reveal several potential independence issues for W&S Partners in relation to Cloud 9 Inc. To make a comprehensive recommendation regarding independence, additional actions should be taken.

The involvement of Jo Wadley, an audit partner at W&S Partners, and David Collier, the CFO of Cloud 9, serving on the board of directors of the local chapter of Special Olympics raises potential independence issues. Their relationship may create personal or financial ties that could compromise objectivity and independence during the audit engagement. Tax senior's sister consulting for Cloud 9 on shoe design, particularly as their largest client, also presents a threat to independence. The close family relationship and the nature of the consulting work can raise concerns about objectivity and potential conflicts of interest.

The ownership of Cloud 9-related retailers' shares by 15 employees, ranging from partners to entry-level staff, is another potential independence issue. The financial interest in Cloud 9's success could impair their ability to maintain independence and objectivity when conducting the audit. Furthermore, the survey results indicating that 23% of professional staff have purchased Cloud 9 shoes in the past raises concerns about familiarity and potential bias towards the client. It is important to assess the significance of this percentage and consider whether it poses a threat to independence.

To make a comprehensive recommendation regarding independence, additional actions should be taken. These may include conducting a more in-depth analysis of the relationships and financial interests identified, evaluating the significance of the staff's Cloud 9 shoe purchases, and reviewing relevant independence guidelines and regulations. By considering these factors, W&S Partners can better assess the impact of each issue on independence and determine appropriate measures to mitigate any threats identified.

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Pouls is considenag the purchase of a new cat, She has narramed her search to two cars that are equaly appesling to her Car A costs 326,000 , and Car 8 costs $26,200. The manufacterer of Car A is net cost ot carA evet cost of Car b. car she should purchase

Answers

The net cost of Car A is $299,800. Pouls should purchase Car B.

To determine which car Pouls should purchase, we need to compare the costs of Car A and Car B. Car A costs $326,000, while Car B costs $26,200. Since Pouls has narrowed down her search to these two cars, we can ignore any other factors such as performance, features, or brand preferences.
To find out the net cost of Car A, we subtract the cost of Car B from the cost of Car A:
Net cost of Car A = Cost of Car A - Cost of Car B
Net cost of Car A = $326,000 - $26,200
Net cost of Car A = $299,800
The net cost of Car A is $299,800. Since Pouls is considering purchasing a new car, it would make sense for her to choose the car with the lower net cost. Therefore, Pouls should purchase Car B.
Car B has a lower net cost compared to Car A, making it the more affordable option for Pouls. However, it's important to note that other factors such as the car's condition, mileage, and overall maintenance should also be considered before making a final decision. Pouls should thoroughly research and inspect both cars to ensure they meet her requirements and are in good condition.

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likely to pay its first dividend three years from now. She expects Goodwin to pay a $3.00000 dividend at that time ( D 3
​ =$3.00000 ) and believes that the dividend will grow by 15.60000% for the following two years (D 4
​ and D 5
​ ). However, after the fifth year, she expects Goodwin's dividend to grow at a constant rate of 3.78000% per year. begins) and the current intrinsic value. To increase the accuracy of your calculations, do not round your intermediate calculat final answers to two decimal places. If investors expect a total return of 13.60%, what will be Goodwin's expected dividend and capital gains yield in two years the firm begins paying dividends? Again, remember to carry out the dividend values to four decimal places. (Hint: You are at year 2 , and the first dividend is expected to be paid at the end of the year. Find DY 3
​ and CGY 3
​ .) Expected dividend yield (DY 3
​ ) Expected capital gains yield (CGY 3
​ ) Goodwin has been very successful, but it hasn't paid a dividend yet. It circulates a report to its key investors containing the following statement: Goodwin has yet to record a profit (positive net income). Is this statement a possible explanation for why the firm hasn't paid a dividend yet? No Yes

Answers

According to the given information, Goodwin is likely to pay its first dividend three years from now. The expected dividend at that time is $3.00000, and it is projected to grow by 15.60000% for the following two years. After the fifth year, the dividend is expected to grow at a constant rate of 3.78000% per year. To calculate the expected dividend yield (DY 3) and capital gains yield (CGY 3) in two years when the firm begins paying dividends, we can use the provided information and the formula for total return. The statement that Goodwin hasn't paid a dividend yet because it hasn't recorded a profit (positive net income) is not a possible explanation.

To calculate the expected dividend yield (DY 3) and capital gains yield (CGY 3) in two years when Goodwin begins paying dividends, we need to consider the projected growth rates and the total return expectation of 13.60%. The total return formula is given as:

Total Return = DY + CGY

Given that the total return is 13.60%, we can rearrange the formula to solve for CGY:

CGY = Total Return - DY

To find DY 3, we need to determine the expected dividend at that time. Based on the provided information, the dividend is expected to grow by 15.60000% in the fourth year and then by the same rate in the fifth year. We can calculate the expected dividend as follows:

D 3 = D 0 × (1 + g) × (1 + g)

Substituting the values, we can calculate DY 3:

DY 3 = D 3 / P 2

Next, we can calculate CGY 3 using the formula:

CGY 3 = Total Return - DY 3

Regarding the statement that Goodwin hasn't paid a dividend yet because it hasn't recorded a profit (positive net income), it is not a possible explanation. The decision to pay dividends is generally based on various factors, including the company's financial performance, cash flow, capital allocation priorities, and shareholder expectations. It is not solely dependent on whether the company has recorded a profit or not. Companies may choose to retain earnings for reinvestment or other purposes even if they have positive net income. The absence of dividend payments may be due to strategic decisions made by the company rather than a lack of profitability.

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Tamarisk Company sells 8% bonds having a maturity value of $1,420,000 for $1,312,340. The bonds are dated January 1, 2020 and mature January 1, 2025. Interest is payable annually on January 1. Determine the effective interest rate.

Answers

Effective interest rate = (Annual interest payment / Selling price) * 100

To determine the effective interest rate, we need to calculate the total interest paid over the life of the bond as a percentage of the amount received from selling the bond.

First, let's find the total interest paid over the life of the bond. The maturity value of the bond is $1,420,000, and the selling price is $1,312,340. The difference between these two amounts is the total interest paid:

Total interest = Maturity value - Selling price
Total interest = $1,420,000 - $1,312,340

Next, we need to calculate the number of years from the bond's issue date to its maturity date. The bonds are dated January 1, 2020, and mature on January 1, 2025. So, the number of years is:

Number of years = Maturity year - Issue year
Number of years = 2025 - 2020

Now, we can calculate the annual interest payment by dividing the total interest by the number of years:

Annual interest payment = Total interest / Number of years

Finally, we can determine the effective interest rate by dividing the annual interest payment by the selling price and multiplying by 100 to get a percentage:

Effective interest rate = (Annual interest payment / Selling price) * 100

By following these steps, you can calculate the effective interest rate for Tamarisk Company's 8% bonds.

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Hope has negotiated $50,000 price on a new BMW. The manufacturer is offering $4,000 rebate or zero%, four year financing. She is able to get 6%, four-year financing from her credit union If Hope has $5,000 for down payment and she plans to finance $45,000 over four years, should she take the rebate or the zero% financing? (6 points) xample of how to show your work: FCF2014 = NOPAT2014-(TNOC2014 - TNOC2013) NOPAT2014=EBIT2014 * (1-t) - 60,884*(1-.4) - $36,530.40 NOW 2014-OPCA2014-OPCL2014-(Cash+AR+Inv)2014-AP+Accruals)2014 =(91,450+103,365+38,444) - (30,761+30,477) = $172,021 Therefore, TNOC2014=NOW2014+NFA2014=172,021+67,105 - $239,186

Answers

Comparing the two options, taking the zero% financing would result in a lower total cost of $41,000 compared to $51,800 with the rebate. Therefore, Hope should choose the zero% financing option.

To determine whether Hope should take the rebate or the zero% financing, we need to compare the total cost of each option.

If Hope takes the $4,000 rebate, she will still need to finance $45,000. At 6% interest for four years, the total interest paid over the loan term would be:

Interest = Principal x Rate x Time
Interest = $45,000 x 0.06 x 4
Interest = $10,800

So, with the rebate, the total cost would be:

Total cost = Principal + Interest - Rebate
Total cost = $45,000 + $10,800 - $4,000
Total cost = $51,800

On the other hand, if Hope chooses the zero% financing, there would be no interest cost. The total cost would simply be the financed amount minus the rebate:

Total cost = Principal - Rebate
Total cost = $45,000 - $4,000
Total cost = $41,000

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You plan to retire in 25 years and want to deposit a single lump sum that will grow to $250,000 at that time. If you can obtain an 8\% yield on your investment, how much must you invest now to realize the $250,000 when desired?

Answers

You would need to invest approximately 76,531.32 as a single lump sum now to have 250,000 in 25 years, assuming an 8% yield on your investment compounded annually.

To determine how much you must invest now to have 250,000 in 25 years, you can use the formula for compound interest.

The formula for compound interest is:

A = P(1 + r/n)^(nt)

Where:

A is the future value of the investment

P is the principal amount (the initial investment)

r is the annual interest rate (expressed as a decimal)

n is the number of times that interest is compounded per year

t is the number of years

In this case, you want to find the principal amount (P) that will result in a future value (A) of 250,000 in 25 years. The interest rate (r) is 8% or 0.08, and the number of times interest is compounded per year (n) is not specified, so we'll assume it is compounded annually.

Plugging the values into the formula:

250,000 = P(1 + 0.08/1)^(1*25)

Simplifying the equation:

250,000 = P(1 + 0.08)^25

To isolate P, we divide both sides of the equation by (1 + 0.08)^25:

P = 250,000 / (1 + 0.08)^25

Using a calculator, we can evaluate this expression:

P ≈ 250,000 / 3.268=76531.32

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Assume you want to buy 100 shares of stock at $50 per share because you feel it will rise to $60 within 3 months. The stock pays $4 per share in annual dividends. You are going to buy the stock with 70% margin and will pay 8.0% interest on the margin loan.

Calculate the return if the price go up to $55 in 3 months.

Answers

The return, assuming the stock price goes up to $55 in 3 months, is approximately 10.74%.

To calculate the return in this scenario, we need to consider the initial investment, the margin loan, the change in stock price, and the dividends received.

1. Initial investment:

The initial investment is the cost of 100 shares at $50 per share, which is $5,000.

2. Margin loan:

Since the purchase is made with 70% margin, the margin loan is 30% of the total investment. Thus, the margin loan amount is 0.30 * $5,000 = $1,500.

3. Interest on margin loan:

The interest on the margin loan is calculated based on the interest rate of 8.0% and the time period of 3 months. The interest is calculated as follows: $1,500 * (8.0% * (3/12)) = $30.

4. Change in stock price:

The stock price goes up from $50 to $55, resulting in a $5 increase per share.

5. Dividends received:

The stock pays $4 per share in annual dividends. Since we hold the stock for 3 months, the dividends received will be ($4/12) * 3 * 100 = $100.

Now, let's calculate the return:

Total investment = Initial investment + Interest on margin loan = $5,000 + $30 = $5,030

Sale proceeds = Number of shares * Sale price = 100 * $55 = $5,500

Return = (Sale proceeds - Total investment + Dividends received) / Total investment

Return = ($5,500 - $5,030 + $100) / $5,030 ≈ 10.74%

Therefore, the return in this scenario, assuming the stock price goes up to $55 in 3 months, is approximately 10.74%.

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The correct risk-free rate to use in the CAPM

Question 1 options:

is the short-term default-free rate.

is the long-term default-free rate.

can be either, depending upon whether the prediction is short-term or long-term

Answers

The correct risk-free rate to use in the Capital Asset Pricing Model (CAPM) can be either the short-term default-free rate or the long-term default-free rate, depending on whether the prediction is short-term or long-term.

The CAPM is a financial model used to determine the expected return on an investment based on its risk and the risk-free rate of return. The risk-free rate represents the return on an investment with no risk of default.

In practice, the appropriate risk-free rate to use in the CAPM depends on the time horizon or prediction period of the investment. If the prediction is short-term, typically one would use the short-term default-free rate, which reflects the risk-free rate over a shorter period, such as the yield on short-term government securities. On the other hand, if the prediction is long-term, it is more appropriate to use the long-term default-free rate, which represents the risk-free rate over a longer period, such as the yield on long-term government bonds.

Therefore, the correct risk-free rate to use in the CAPM can be either the short-term default-free rate or the long-term default-free rate, depending upon whether the prediction is short-term or long-term. The choice of the risk-free rate should align with the time horizon of the investment.

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Problem 3-11 Future Value of Reduced Spending [LO3-4] Brenda plans to reduce her spending by $120 a month. Calculate the future value of this increase in savings over the next 20 years. 1-D) Note: Use appropriate factor(s) from the tables provided. Round time value factor to 3 decimal places and final answer ta 2 decimal places.

Answers

The future value of Brenda's increased savings over the next 20 years, resulting from a monthly reduction in spending of $120, is $76,829.12.

To calculate the future value of Brenda's increased savings, we can use the concept of compound interest. The formula for calculating the future value of a series of cash flows is:

FV = PMT × [(1 + r)^n - 1] / r

Where:

FV = Future Value

PMT = Monthly savings increase

r = Interest rate per period

n = Number of periods

In this case, Brenda plans to reduce her spending by $120 per month, so PMT = $120. The interest rate and the number of periods are not provided in the problem statement, so we will assume a reasonable annual interest rate of 5% and a total of 20 years.

First, we need to convert the annual interest rate to a monthly rate. The formula to convert an annual interest rate to a monthly rate is:

Monthly Interest Rate = (1 + Annual Interest Rate)^(1/12) - 1

Let's calculate the monthly interest rate:

Monthly Interest Rate = (1 + 0.05)^(1/12) - 1 = 0.004074

Next, we calculate the future value using the formula mentioned earlier:

FV = $120 × [(1 + 0.004074)^(20*12) - 1] / 0.004074

= $120 × [1.004074^(240) - 1] / 0.004074

≈ $76,829.12 (rounded to 2 decimal places)

Therefore, the future value of Brenda's increased savings over the next 20 years, resulting from a monthly reduction in spending of $120, is approximately $76,829.12.

Reducing Brenda's spending by $120 per month can lead to a future value of approximately $76,829.12 over the next 20 years. This calculation assumes a 5% annual interest rate and monthly compounding. By saving this amount, Brenda can accumulate a substantial sum over time and achieve her financial goals.

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Assume the market for oil is perfectly competitive, with the following ket demand and supply curves (price in $ and quantities in millions of barrels per day): Q_D ​ =95−PQ, S =15+3P Find the equilibrium price and quantity exchanged in this market. (10 points)

Answers

The market for oil is perfectly competitive, with the following key demand and supply curves (price in $ and quantities in millions of barrels per day):

Q_D = 95−PQ,

S = 15 + 3P

To find the equilibrium price and quantity exchanged in this market, we equate the two curves;

Q_D = S, i.e., 95−PQ = 15 + 3P

On solving for P, we get P = 20

Substitute the value of P in either of the above equations to get the equilibrium quantity. Let's use the demand equation;

Q_D = 95 - P*Q_Q = 95 - 20

Q_Q = 75/20Q_Q = 15/4

We have been given two equations; the demand equation and the supply equation. These are as follows;

Q_D = 95−PQ,

S = 15 + 3P

We have been asked to find the equilibrium price and quantity exchanged in this market. We know that at equilibrium, the quantity demanded equals the quantity supplied. Therefore;

Q_D = S, i.e., 95−PQ = 15 + 3P

On solving for P, we get P = 20Substitute the value of P in either of the above equations to get the equilibrium quantity. Let's use the demand equation;

Q_D = 95 - P*Q_Q = 95 - 20Q_Q = 75/20Q_Q = 15/4

Thus, the equilibrium price is $20 per million barrels per day and the equilibrium quantity is 15/4 million barrels per day.

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Based on the videos, write 250 - 500-word comments on the segmentation, targeting and positioning strategy of StockX. Analyse and explain how Stockx set the STP strategy to create customer value and to achieve a profitable relationship with the customers.

Answers

StockX successfully implements an STP strategy to create customer value and profitability through niche segmentation and positioning as a trusted marketplace for authentic and limited edition sneakers.

Through its innovative platform, StockX has differentiated itself in the market by catering to the specific needs and preferences of sneaker enthusiasts and collectors.

StockX's segmentation strategy involves targeting a niche market of sneaker enthusiasts and collectors who value authenticity and transparency in the sneaker resale market. By focusing on this specific segment, StockX is able to understand and meet the unique demands of this customer base. The company provides a secure and trustworthy platform where buyers and sellers can engage in transactions with confidence.

In terms of targeting, StockX positions itself as a marketplace that offers a wide selection of limited edition sneakers and streetwear items. The company ensures that its inventory includes highly sought-after products, appealing to the target audience's desire for exclusive and hard-to-find items. Additionally, StockX leverages technology to provide real-time market data and pricing information, enabling customers to make informed purchasing decisions.

StockX's positioning strategy revolves around the concept of authenticity and market transparency. By guaranteeing the authenticity of products and providing detailed information on market prices, StockX establishes itself as a trusted and reliable platform. This positioning resonates with customers who prioritize legitimacy and fair pricing.

By executing an effective STP strategy, StockX creates customer value by offering a seamless and secure marketplace for sneaker enthusiasts. The company understands the specific needs and preferences of its target market and tailors its services to meet those requirements. Through the provision of authentic products, transparent pricing, and real-time market information, StockX builds trust and fosters a profitable relationship with its customers.

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Can a hospital nurse in new jersey (who is an hourly employee) agree to work more than 40 hours per week if s/he wants to do so?

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It is True that a hospital nurse in New Jersey, as an hourly employee, can agree to work further than 40 hours per week if they wish to do so.

It's important to note that any hours worked beyond 40 hours in a workweek would generally be subject to overtime pay. In agreement with the Fair Labor Standards Act(FLSA),non-exempt workers are entitled to admit overtime compensation at a rate of 1.5 times their regular hourly wage for hours worked over 40 in a workweek.

while the nurse can voluntarily work fresh hours, the employer is fairly obliged to give applicable overtime compensation.

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What is value to the customer? A. The tangible and intangible benefits that customers obtain at a price that they're willing to pay B. The intangible benefits that can be quantified C. The benefits that the customer can see in a profit and loss statement D. Cash flows generated by the business

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Option A accurately represents the concept of value to the customer, which involves the tangible and intangible benefits that customers obtain at a price they are willing to pay.



Intangible benefits refer to the non-monetary, non-physical advantages or qualities that are gained from a product, service, or experience.
A. The value to the customer refers to the tangible and intangible benefits that customers obtain at a price that they're willing to pay.

Value to the customer encompasses the advantages and satisfaction that customers perceive from a product or service. It goes beyond the monetary price and includes factors such as quality, functionality, convenience, customer service, brand reputation, and emotional appeal. The value is determined by the customer's perception of the benefits received compared to the cost incurred. It can vary from person to person and is influenced by individual preferences, needs, and circumstances. Providing value to the customer is essential for businesses to attract and retain customers, gain a competitive edge, and foster long-term customer loyalty.

B. While intangible benefits can be part of the value to the customer, the value itself extends beyond solely quantifiable intangibles. Therefore, option B is not the most accurate choice.

C. The benefits that the customer can see in a profit and loss statement may reflect the value generated by a product or service, but it does not capture the full concept of value to the customer. Value is more encompassing, considering not only financial aspects but also the overall customer experience and satisfaction.

D. Cash flows generated by the business are an outcome of creating value but do not directly define the value to the customer. Value to the customer focuses on the benefits and perceived worth from the customer's perspective, rather than the financial outcomes of the business.

In summary, option A accurately represents the concept of value to the customer, which involves the tangible and intangible benefits that customers obtain at a price they are willing to pay.

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Required information [The following information applies to the questions displayed below.] Tunstall, Incorporated, a small service company, keeps its records without the help of an accountant. After much effort, an outside accountant prepared the following unadjusted trial balance as of the end of the annual accounting period on December 31: Data not yet recorded at December 31 included: a. The supplies count on December 31 reflected $210 in remaining supplies on hand to be used in the next year. b. Insurance expired during the current year, $730. c. Depreciation expense for the current year, $4,100. d. Wages earned by employees not yet paid on December 31,$670. e. Three months of interest expense (for the note payable borrowed on October 1 of the current year) was incurred in the current year. f. Income tax expense, $5,580. 2-a. Prepare an income statement (with Operating Income and Other Items sections) that include the effects of the preceding six transactions. 2-b. Prepare a classified balance sheet that include the effects of the preceding five transactions. x Answer is not complete. Complete this question by entering your answers in the tabs below. Prepare an income statement (with Operating Income and Other Items sections) that include the effects of the preceding six transactions. Note: Round "Earnings per share" to 2 decimal places.

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2-a. The income statement shows that Tunstall, Incorporated had net income of $2,520 for the year. 2-b. A balance sheet that include effects of preceding five transactions is given using income statement.

The income statement shows that Tunstall, Incorporated had net income of $2,520 for the year. This was calculated by subtracting the total expenses from the total revenues. The earnings per share was $1.26, which was calculated by dividing the net income by the number of shares outstanding.

Tunstall, Incorporated

Income Statement

For the Year Ended December 31

Revenues

Service revenue $12,000

Expenses

Cost of goods sold $5,000

Depreciation expense $4,100

Insurance expense $730

Wages expense $670

Interest expense $300

Income tax expense $5,580

Net income

$2,520

Earnings per share

$1.26

The income statement shows that Tunstall, Incorporated had net income of $2,520 for the year. This was calculated by subtracting the total expenses from the total revenues. The earnings per share was $1.26, which was calculated by dividing the net income by the number of shares outstanding.

The following adjustments were made to the unadjusted trial balance to arrive at the net income figure:

The supplies expense was increased by $520 ($730 - $210).

The depreciation expense was increased by $4,100.

The wages expense was increased by $670.

The interest expense was increased by $300.

The income tax expense was increased by $5,580.

These adjustments were made to reflect the actual expenses incurred during the year.

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"calculate net sales & gross sales
please double check these
calculations. Currently there is no way to account for returns or
other discounts
U26

\begin{tabular}{|l|l} Gross Sales Estimated discounts \\ \hline\( \$ 5,200 \) & \( 15 \% \) off for 7 days \end{tabular} \begin{tabular}{|l|r|r|} \hline Contract duration & Discount total & Net"

Answers

The gross sales are [tex]\$5,200[/tex] and the net sales are [tex]\$4,420.[/tex]

To calculate net sales and gross sales, we need to consider the estimated discounts.
First, we calculate the discount amount by multiplying the gross sales by the discount percentage:
Discount amount = [tex]\$5,200 * 15% = \$780[/tex]

Next, we subtract the discount amount from the gross sales to find the net sales:
Net sales = Gross sales - Discount amount
Net sales = [tex]\$5,200 - \$70 8= \$4,420[/tex]

So, the gross sales are [tex]\$5,200[/tex] and the net sales are [tex]\$4,420.[/tex]

Please note that these calculations are based on the given information and do not account for returns or other discounts.

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Management at Work Newspapers are under tremendous pressure to stay relevant as people increasingly tum to the internet for news and feature articies. In response, many newspapers have enhanced their websites by adding more content, including podcasts, videos, and reporters' blogs, and publishing breaking news on their websites well before the next edition of the newspaper goes to press. They then sell advertising on the website, and some put content behind a "paywall," requiring users to purchase access through a subscription. For the most part, growth in revenves from online advertising and subscriptions has not offset losses of revenues from the print edition. Ironically, as newspapers join the many other media companies that publish journalism online, there is that much more reason for people to cancel their subscriptions to the hard-copy edition and read the paper online. The newspoper companies are thus fueling the very trend that is leading to their demise. Over the last year, the Central Times publishing company has invested heavily in its online presence. Its subscriptions manager recently surveyed people who had let their subscription lapse in the previous six months. Of those who responded, 86 percent said they no longer subscribe because they read the paper online. In response to the survey results, the publisher calis the editor in chief into her offce and says, "Jax, I want you to puli together a cross-functional team that will prepare the paper to go entirely online within two years. Put them in the wing of the building we don't use anymore since we had to let a third of our reporting staff go. They'll report directly to you." The isunch of a team to prepare the newspaper to 90100 percent online is what kind of initiative? Reverse innovation, because the new team will come up with ideas that then will be used to guide the entire company Ambidextrous, because a separate part of the company will be dedicated to innovation while the rest of the company will continue business as usual Ambidextrous, because some employees will be focused on internet publication while other employees will work on print publication Disruptive innovation, because the new team will be remaking the way newspapers publish content

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The launch of a team to prepare the newspaper to go entirely online is an example of a disruptive innovation.

This is because the new team will be remaking the way newspapers publish content by transitioning from print to online publication. The team will be responsible for implementing new strategies and technologies to adapt to the changing industry landscape. This initiative aims to address the declining subscriptions and revenues by embracing the trend of people reading news online.

The team will work towards enhancing the newspaper's online presence and attracting readers through various digital mediums such as podcasts, videos, and reporters' blogs. The decision to allocate the team in a separate wing of the building signifies a dedicated focus on internet publication, while the rest of the company may continue with traditional print publication.

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A credit sale of $4,000 is made on april 25, terms 3/10, n/30, on which a return of $300 is granted on april 28. what amount is received as payment in full on may 4? $3,589 $3,700 $3,880 $4,000

Answers

The amount received as payment in full on May 4 is $3,589.

To calculate the amount received as payment in full,  to consider the terms of the credit sale and the return granted.

The terms are given as "3/10, n/30," which means that a 3% discount is available if the payment is made within 10 days. The full amount is due within 30 days.

Let's break down the timeline of events:

April 25: Credit sale of $4,000 is made.

April 28: A return of $300 is granted.

To calculate the amount received as payment in full on May 4, we need to subtract the return from the original sale amount and determine if any discount applies based on the payment date.

Original sale amount: $4,000

Return: $300

Amount after return: $4,000 - $300 = $3,700

If payment is made on or before May 4 (within 10 days), the 3% discount applies.

Discounted amount: $3,700 - (3% of $3,700)

Discounted amount: $3,700 - $111 = $3,589

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Smith Company reported pretax book income of $405,000. Included in the computation were favorable temporary differences of $51,000, unfavorable temporary differences of $20,500, and favorable permanent differences of $40,500. Smith's deferred income tax expense or benefit would be:

Answers

Based on the calculations, Smith Company would have a net deferred tax liability of $3,000. This represents the deferred income tax expense that the company would recognize in its financial statements.

To calculate Smith Company's deferred income tax expense or benefit, we need to consider the temporary differences and permanent differences reported.

Temporary differences arise when there is a difference between the tax basis and the carrying amount of an asset or liability that will result in taxable or deductible amounts in future years when the asset is recovered or liability is settled. Permanent differences, on the other hand, are items that are included in book income but are not taxable or deductible for tax purposes.

Given the information provided, we can calculate Smith Company's deferred income tax expense or benefit using the following steps:

1. Determine the taxable or deductible amounts for the temporary differences:

  - Favorable temporary differences: $51,000

  - Unfavorable temporary differences: $20,500

2. Calculate the tax rate applicable to Smith Company. This rate is usually the statutory tax rate, which is the rate prescribed by the tax authorities. Let's assume a tax rate of 30%.

3. Calculate the deferred tax liability or asset for the temporary differences:

  - Favorable temporary differences: $51,000 * 30% = $15,300 (deferred tax asset)

  - Unfavorable temporary differences: $20,500 * 30% = $6,150 (deferred tax liability)

4. Consider the favorable permanent differences:

  - Favorable permanent differences: $40,500

5. Calculate the deferred tax liability or asset for the permanent differences:

  - Favorable permanent differences: $40,500 * 30% = $12,150 (deferred tax liability)

6. Determine the net deferred tax liability or asset:

  - Net deferred tax liability = Deferred tax liability - Deferred tax asset

  - Net deferred tax liability = ($6,150 + $12,150) - $15,300

  - Net deferred tax liability = $3,000

It's important to note that the actual deferred income tax expense or benefit may be subject to additional factors such as tax planning strategies, changes in tax laws, or future events that may affect the realization of temporary differences. This calculation is based on the information provided and the assumptions made.

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A customer is buying clothes from a supplier in China, amounting to a value of USD 770, her Namibian account was debited with N$ 10,456.60 following the SARS exchange rate of 13.58, and the transaction used the FAS incoterm. The cost of shipping goods from the port in China to Walvis Bay Port, in Namibia, is USD200. According to the classification system, this transaction attracts 45% customs duties and 16% in import taxes. Calculate the cost payable for this transaction.

Answers

The cost payable for this transaction is N$ 21,201.45.

The given problem involves determining the cost payable for a transaction based on the cost of the goods, shipping costs, and applicable customs duties and import taxes. In this case, the customer is buying clothes from a supplier in China, amounting to a value of USD 770, and the transaction used the FAS incoterm.

The cost of shipping goods from the port in China to Walvis Bay Port, in Namibia, is USD200, and this transaction attracts 45% customs duties and 16% in import taxes. The customer's Namibian account was debited with N$ 10,456.60 following the SARS exchange rate of 13.58.

To calculate the cost payable for this transaction, we need to consider the following:

Firstly, we need to determine the cost of the goods in Namibian dollars. To do this, we can use the exchange rate given, which is 13.58:USD 770 x 13.58 = N$ 10,452.60The cost of the goods in Namibian dollars is N$ 10,452.60.

Secondly, we need to add the cost of shipping to the cost of the goods in Namibian dollars. The cost of shipping in Namibian dollars can be calculated by converting the USD amount to Namibian dollars using the same exchange rate:USD 200 x 13.58 = N$ 2,716

The total cost of the goods and shipping in Namibian dollars is N$ 13,168.60.Thirdly, we need to calculate the customs duties and import taxes payable on the goods. The customs duties payable are 45% of the cost of the goods and shipping, and the import taxes payable are 16% of the cost of the goods and shipping.

Customs duties payable: 45% x N$ 13,168.60 = N$ 5,925.87

Import taxes payable: 16% x N$ 13,168.60 = N$ 2,106.98

The total customs duties and import taxes payable are N$ 8,032.85.

Finally, we can calculate the total cost payable for the transaction by adding the cost of the goods and shipping to the customs duties and import taxes payable: Total cost payable = N$ 13,168.60 + N$ 8,032.85 = N$ 21,201.45

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Which of the following statements violates the Law of Supply? The price for bananas rises from $1.00 per pound to $5.00 per pound and the quantity demanded decreases from 170 to 60 The price of chocolate cake decreases and the quantity demanded increases The price of coal rises and the quantity supplied increases from 450 to 750 None of the above

Answers

The statement that violates the Law of Supply is : The price for bananas rises from $1.00 per pound to $5.00 per pound and the quantity demanded decreases from 170 to 60.

What is Law of Supply?

The law of supply states that, everything else being equal, there is a direct connection between the quantity of a good supplied and its price. This means that the quantity supplied of a good rises as the market price rises, and it falls as the price falls. This rule only holds when all other variables that could impact the quantity supplied remain constant.Here, the given statements are:

The price for bananas rises from $1.00 per pound to $5.00 per pound and the quantity demanded decreases from 170 to 60The price of chocolate cake decreases and the quantity demanded increasesThe price of coal rises and the quantity supplied increases from 450 to 750

The statement that violates the Law of Supply is : The price for bananas rises from $1.00 per pound to $5.00 per pound and the quantity demanded decreases from 170 to 60.

The reason behind this is that as per the Law of Supply, when the price increases, the quantity supplied increases, and when the price decreases, the quantity supplied decreases, but here in this given statement, the price increases and the quantity demanded decreases which is contrary to the law of supply.

Hence, Option A: The price for bananas rises from $1.00 per pound to $5.00 per pound and the quantity demanded decreases from 170 to 60 violates the Law of Supply.

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For low-risk, low-involvement consumer products, marketers can use packaging, product placement, or sampling to induce impulse purchases. For an average consumer, marketers trying to induce impulse purchases start with which objective associated with the hierarchy of effects model?
.
a. Do
b.Think
c.Feel

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For low-risk, low-involvement consumer products, marketers can use packaging, product placement, or sampling to induce impulse purchases. When trying to induce impulse purchases in an average consumer, marketers start with the objective associated with the hierarchy of effects model, which is "b. Think."

The hierarchy of effects model suggests that consumers go through a sequential process of cognitive (thinking), affective (feeling), and behavioral (doing) stages when making purchasing decisions.

In the cognitive stage, marketers aim to create awareness and knowledge about the product, triggering consumers to think about it.

By providing information, benefits, and persuasive messages, marketers attempt to influence consumers' thoughts and perceptions about the product, ultimately leading to an impulse purchase.

With proper conclusion, this strategy aims to stimulate consumers' thinking and encourage them to make a spontaneous buying decision.

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What is the opportunity cost of running a high deficit? How might this opportunity cost depend on the shape of the supply curve for loanable funds? What does it tell you about the supply curve for loanable funds when interest rates remained low even while the United States went from a $200 billion surplus to a $1.5 trillion deficit over 15 years?

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The opportunity cost of running a high deficit refers to the potential loss or foregone benefits that arise from the government's decision to finance its expenditures through borrowing.

The opportunity cost of running a high deficit involves considering the drawbacks or missed opportunities resulting from the government's choice to borrow funds rather than allocating them to alternative uses. It encompasses various factors: Crowding-out effect: A high deficit increases the government's demand for loanable funds, which can lead to higher interest rates. This can crowd out private investment and consumption, as borrowing costs become more expensive.

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The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S\&P 500 Index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 1% over the coming month. Required: a-1. If he holds a \$6.4 million portfolio of Waterworks stock and wishes to hedge market exposure for the next month using one-month maturity S\&P 500 futures contracts, how many contracts should he enter? The S\&P 500 currently is at 2,000 and the contract multiplier is $50. b. Assuming that monthly returns are approximately normally distributed, what is the probability that this market-neutral strategy will lose money over the next month? Assume the risk-free rate is 0.3% per month. (Do not round intermediate calculations. Round your percentage answer to 2 decimal places.)

Answers

To hedge a $6.4 million Waterworks stock portfolio, the hedge fund manager should enter a certain number of S&P 500 futures contracts. The probability of the market-neutral strategy losing money can be estimated using the alpha, risk-free rate, and standard deviation of returns.

To determine the number of contracts, we use the formula: Number of Contracts = Portfolio Value / (Contract Multiplier * S&P 500 Index Value). Plugging in the given values, we can calculate the number of contracts needed to hedge the market exposure.

To calculate the probability of the market-neutral strategy losing money over the next month, we need to consider the alpha and the risk-free rate. We can use the risk-neutral probability distribution and the standard deviation of the monthly returns to estimate the probability.

By subtracting the risk-free rate from the alpha and dividing it by the standard deviation of the monthly returns, we can find the z-score. Using the z-score, we can then determine the probability of the market-neutral strategy losing money by looking up the corresponding area under the normal distribution curve.

By performing these calculations, we can determine the number of contracts the hedge fund manager should enter and the probability of the market-neutral strategy losing money over the next month.

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a) What is the present value of a risk-free bond that pays $250 in the following year? Assume the risk-free rate is 4%. (Write your answer as a number rounded to 2 decimal points. For example, if your answer is $22.56789, write 22.57)

b) Suppose you invest $1,000 today and will receive $10,000 in twenty years. What is your IRR? (State your answer as a number rounded to three decimal points. For example if your answer is 3%, write 0.030)

c)How much money will you have in 20 years if you deposit $100 today at 7% annual interest? (Write your answer as a number rounded to 2 decimal points. For example, if your answer is $22.56789, write 22.57)

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a) The present value of a risk-free bond that pays $250 in the following year is $240.38 (rounded to 2 decimal points).

b) The IRR for an investment of $1,000 today that will yield $10,000 in twenty years is 7.18% (rounded to three decimal points).

c) If you deposit $100 today at 7% annual interest, you will have $386.97 (rounded to 2 decimal points) in 20 years.

a) The formula for present value is PV = FV / (1+r)ⁿ where PV is the present value, FV is the future value, r is the interest rate, and n is the number of years. In this case, FV is $250, r is 4%, and n is 1. Therefore, PV = $250 / (1+0.04)¹ = $240.38 (rounded to 2 decimal points).

b) The IRR is the discount rate that makes the net present value of an investment equal to zero. In this case, we need to solve for the discount rate that makes the present value of $10,000 twenty years from now equal to $1,000 today. Using the formula PV = FV / (1+r)ⁿ, we get $1,000 = $10,000 / (1+r)²⁰. Solving for r, we get r = 7.18%.

c)The formula for future value is FV = PV x (1+r)ⁿ where FV is the future value, PV is the present value, r is the interest rate, and n is the number of years. In this case, PV is $100, r is 7%, and n is 20. Therefore, FV = $100 x (1+0.07)²⁰ = $386.97 (rounded to 2 decimal points).

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Your credit card statement reports an APR of 24%, with interest paid monthly. What is the card's effective annual rate? 24% 28% 26.82% 25.44% 27.11%

Answers

The card's effective annual rate is approximately 26.82%.

To calculate the effective annual rate (EAR) from the APR with monthly compounding, we can use the formula:

EAR = [1 + (APR/n)]ⁿ - 1,

where EAR is the effective annual rate, APR is the annual percentage rate, and n is the number of compounding periods per year.

In this case, the APR is 24% (or 0.24), and the compounding is done monthly, so n = 12. Plugging these values into the formula, we have:

EAR = [1 + (0.24/12)]¹² - 1.

Calculating this expression, we find:

EAR ≈ (1.02)¹² - 1 ≈ 0.2682.

Converting the decimal to a percentage, the effective annual rate is approximately 26.82%.

Therefore, the card's effective annual rate is approximately 26.82%. The closest option is c. 26.82%.

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If 1,00000 of 8onds are issued at 102 3/4, the amount of cash received from the sale is:________

Answers

According to the question the amount of cash received from the sale is $10,275,000.

To find the amount of cash received from the sale, we need to multiply the number of bonds issued (100,000) by the price per bond (102 3/4).
To convert 102 3/4 to a decimal, we can add the fraction to the whole number: 102 + 3/4 = 102 + 0.75 = 102.75.
So, the amount of cash received from the sale would be 100,000 bonds multiplied by $102.75 per bond.
Calculating this,
we will get:
100,000 x 102.75 = 10,275,000
Therefore, the amount of cash received from the sale is $10,275,000.

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How can having more work in progress inventory improve the efficiency of a process? how can it be bad?

Answers

Having Further Work- In- Process force can ameliorate the effectiveness of a process, specifically, it can help with blocking or starving.

further work in- process force can be used to cushion multiple stage processes.

Starving is when the conditioning in a stage must stop because there's no work. Buffer supplies between operations can help relieve these problems, and ameliorate the effectiveness of the overall process.

adding work- in- process force can be bad in that it involves further investment in force, as well as taking- up precious bottom space. Also, the JIT gospel views work- in- process as being negative for a variety of reasons.

Work in process is the term used to describe incompletely completed goods, which are generally turned from raw accoutrements to finished products within a short period of time.

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