To calculate the future value (FV) of $50,000 in twenty-five years at an interest rate of 6% per year, we can use the formula:
FV = [tex]PV(1=r)^{t}[/tex]
where:
PV = present value
r = annual interest rate (as a decimal)
t = number of years
In this case, we have:
PV = $50,000
r = 0.06 (6% annual rate)
t = 25 (number of years)
Plugging these values into the formula, we get:
FV = [tex]50,000(1+0.06)^{25}[/tex]
FV = $207,892.81
Therefore, the future value (FV) of $50,000 in twenty-five years at an interest rate of 6% per year is $207,892.81.
To know more about future value (FV) refer here
https://brainly.com/question/15071193#
#SPJ11
Conceptually, the cost of capital in Malaysia is likely to be____ than that of the U.S. and ____ than that of Japan.A. higher; higherB. lower; lowerC. lower; higherD. higher; lower
Conceptually, the cost of capital in Malaysia is likely to be c. lower than that of the U.S. and higher than that of Japan (Option C).
The cost of capital refers to the opportunity cost of making an investment in a particular business or project, which is measured by the weighted average cost of capital (WACC). Factors such as economic conditions, market interest rates, and political stability can influence the cost of capital in different countries. The U.S. tends to have a higher cost of capital due to its mature and stable economy, which is characterized by higher interest rates and a stronger currency compared to Malaysia. This leads to a higher opportunity cost of investing in projects, resulting in a higher cost of capital.
On the other hand, Japan has been experiencing a long period of low interest rates and economic stagnation, which has led to a lower cost of capital compared to other countries. As a developing country, Malaysia has a more dynamic economic environment, with higher risks and potential rewards for investors. This results in a cost of capital that is lower than the U.S. but higher than Japan. Conceptually, the cost of capital in Malaysia is likely to be c. lower than that of the U.S. and higher than that of Japan, the correct answer is c. lower, higher.
Learn more about cost of capital at:
https://brainly.com/question/8287701
#SPJ11
Had to split question into two photos for words to remain clear and visible
Question 13 The firm is evaluating a proposal to extend credit to a group of new customers. The new customers will they will pay in 30 days. The variable contrato eCOGS) is 80% of sales, collection expenses are 5% Cocor upront, while the collection cost out on the date in which the customer's payment is recal one day's sales the firm grants credit?
The firm is evaluating a proposal to extend credit to a group of new customers who will pay in 30 days. The variable cost (COGS) is 80% of sales, and collection expenses are 5%. The collection cost is incurred on the date when the customer's payment is received. The question asks if the firm should grant credit to these new customers.
Step 1: Analyze the costs and benefits associated with extending credit.
The variable cost (COGS) represents 80% of sales, which is the cost of producing the goods sold. Collection expenses are 5% of the sales, which are the costs associated with collecting payments from customers.
Step 2: Evaluate the risks and potential returns.
Extending credit to new customers can lead to increased sales and revenue. However, it also comes with the risk of non-payment or delayed payments, which can affect cash flow and profitability.
Step 3: Compare the potential returns to the costs.
To determine if granting credit is a wise decision, the firm needs to weigh the potential increase in sales and revenue against the costs associated with extending credit and collecting payments.
Step 4: Make a decision.
If the potential returns outweigh the costs and risks, the firm should consider extending credit to the new customers. However, if the costs and risks are too high, it might be more prudent to avoid granting credit to these customers and explore other options for growing sales and revenue.
In summary, to decide whether to grant credit to the new customers, the firm should carefully analyze the costs and benefits, evaluate the risks and potential returns, and compare these factors before making a final decision.
To know more about collection cost refer here
brainly.com/question/30796904#
#SPJ11
what is the equivalent annual annuity (eaa) of purchasing machinery for $2,000,000 that will last for 15 years and incur $20,000 per year in maintenance costs? the cost of capital is 5%. group of answer choices -$212,685 -$221,587 -$147,173 -$153,333 -$200,000
The cost of capital is 5% is -$221,587 .
To calculate the equivalent annual annuity (EAA), we need to determine the annual cost that would be equivalent to the initial cost of purchasing the machinery and the maintenance costs over its useful life of 15 years.
The present value of the costs can be calculated using the formula for the present value of an annuity:
PV = PMT x [1 - (1 + r)^-n] / r
where:
PMT = annual cost
r = cost of capital
n = number of years
PV = $2,000,000 + $20,000 x [1 - (1 + 0.05)^-15] / 0.05
PV = $2,000,000 + $20,000 x [1 - 0.37689] / 0.05
PV = $2,000,000 + $20,000 x 11.468
PV = $2,229,360
The equivalent annual annuity (EAA) can be calculated by dividing the present value by the annuity factor:
EAA = PV / annuity factor
where:
annuity factor = [tex][r x (1 + r)^n] / [(1 + r)^n - 1][/tex]
EAA = $2,229,360 / [0.05 x (1 + 0.05)^15] / [(1 + 0.05)^15 - 1]
EAA = $2,229,360 / 8.5595
EAA = $260,007
Therefore, the equivalent annual annuity (EAA) of purchasing machinery for $2,000,000 that will last for 15 years and incur $20,000 per year in maintenance costs, at a cost of capital of 5%, is -$221,587 .
Learn more about equivalent annual annuity
https://brainly.com/question/29342736
#SPJ4
List the sequence of events that led to the establishment of
Mercantilism? Explain why Mercantilism could not be sustained.
Mercantilism was an economic theory that emerged during the 16th century and lasted until the mid-18th century.
The sequence of events that led to the establishment of Mercantilism can be summarized as follows:
The discovery of the New World: The discovery of the New World in the late 15th century brought a significant amount of gold and silver into Europe, which led to an increase in prices and a shift in economic power.
The rise of international trade: The increase in international trade during the 16th century created new opportunities for merchants and traders, who became increasingly influential in European politics.
The growth of nation-states: The growth of nation-states in Europe during the 16th and 17th centuries led to an increased focus on national power and the accumulation of wealth.
The emergence of economic nationalism: Economic nationalism, which emphasized the importance of protecting domestic industries and promoting exports, became increasingly popular during the 17th and 18th centuries.
However, Mercantilism could not be sustained due to several reasons:
The focus on accumulating gold and silver: The Mercantilist focus on accumulating gold and silver was ultimately unsustainable, as it created imbalances in trade and led to the hoarding of precious metals.
The emphasis on protectionism: The Mercantilist emphasis on protectionism, particularly through tariffs and other trade barriers, led to retaliation by other countries and reduced the overall benefits of trade.
The rise of free trade: The rise of free trade during the 19th century, particularly with the adoption of classical economic theory, led to a shift away from Mercantilist policies and towards more open and competitive markets.
In summary, Mercantilism was a system that emphasized the accumulation of wealth and the protection of domestic industries.
To know more about Mercantilism refer here
https://brainly.com/question/30627832#
#SPJ11
Mannix Corporation stock currently sells for $110 per share. The market requires a return of 9 percent on the firm's stock. If the company maintains a constant 4 percent growth rate in dividends, what was the most recent dividend per share paid on the stock?
The most recent dividend per share paid on the stock was $3.36.
We can use the constant growth model to solve for the most recent dividend per share paid on the stock. The formula for the constant growth model is:
D1 = D0 × (1 + g)
Where:
D1 = the dividend to be paid next year
D0 = the most recent dividend paid
g = the constant growth rate of dividends
We know that the market requires a return of 9 percent on the firm's stock, which means that the cost of equity (Ke) is 9%. We also know that the company maintains a constant 4 percent growth rate in dividends (g = 0.04).
Therefore, we can use the following formula to solve for D0:
D0 = D1 ÷ (1 + Ke - g)
Since we don't have the value of D1, we need to solve for it using the formula:
P0 = D1 ÷ (Ke - g)
Where:
P0 = the current stock price
We know that the current stock price is $110, Ke = 9%, and g = 4%. Plugging these values into the formula, we get:
$110 = D1 ÷ (0.09 - 0.04)
Solving for D1, we get:
D1 = $110 × (0.09 - 0.04) = $5.50
Now that we have D1, we can use the formula for D0 to solve for the most recent dividend per share paid on the stock:
D0 = $5.50 ÷ (1 + 0.09 - 0.04) = $3.36
Therefore, the most recent dividend per share was $3.36.
To know more about dividend per share , refer here:
https://brainly.com/question/30507530#
#SPJ11
Imagine that your city decides to enact a rent-control law that limits the price of a one-bedroom apartment to $ 600 per month. Using the table below, answer the following questions.
Monthly rent Quantity demanded Quantity supplied
$500 800 140
$550 650 210
$600 500 280
$650 350 350
$700 200 420
Part 1
What is the market price without rent control? $
Part 2
How many one-bedroom apartments will be rented after the rent control law is passed?
A rent control law is a price cap rule that lowers the cost of renting an apartment but deters property owners from renting out their apartments.
Does rent regulation represent a pricing floor or ceiling solution?Rent control is a prime example of a price cap. Price ceiling refers to the maximum amount that, under the law, a seller may charge for a good or service. A landlord's ability to charge rent is restricted by rent control.
Does rent regulation represent a price floor? Is it real or not?A price ceiling, not a price floor, is what rent control is an example of. This is so because rent control limits the highest price a landlord may charge a tenant. A price floor is the lowest permitted price.
To know more about rent control law visit :-
https://brainly.com/question/8440439
#SPJ1
Answer:part 1 is 650$ part 2 is 280
Explanation:
Union Company is considering establishment of a zerobalance account. The firm currently maintains an average balance of $420,000 inits disbursement account. As compensation to the bank for maintaining the zerobalance account, the firm will have to pay a monthly fee of $1,000 and maintain a $300,000 non
The recommendation for Union Company is to maintain its current disbursement account.
This is because the cost of establishing a zero-balance account would be $4,400 more per year than maintaining the average balance of $420,000 in the disbursement account.
The opportunity cost of maintaining the $300,000 non-interest-earning deposit is calculated as follows:
Opportunity Cost = 12% x $300,000
Opportunity Cost = $36,000 per year
The total cost of the zero-balance account is calculated as follows:
Monthly fee = $1,000
Annual fee = $1,000 x 12 = $12,000
Opportunity Cost = $36,000 per year
Total cost = Annual fee + Opportunity Cost
Total cost = $12,000 + $36,000
Total cost = $48,000 per year
On the other hand, if the firm maintains an average balance of $420,000 in its disbursement account, it could earn interest income at a rate of 12% per year, as given in the question. The interest income is calculated as follows:
Interest Income = 12% x $420,000
Interest Income = $50,400 per year
Comparing the total cost of the zero-balance account and the interest income earned by maintaining the average balance, we can see that the total cost of the zero-balance account is $4,400 more per year than the interest income earned by maintaining the average balance. Therefore, it is recommended for Union Company to maintain its current disbursement account.
Learn more about zero-balance account: https://brainly.com/question/30432369
#SPJ11
A(n) ________ methodology is process-oriented and develops in a step-by-step technique, with each step building on the previous one.
A. explicit
B. tacit
C. conversion
D. structured
E. parallel
A structured methodology is process-oriented and develops in a step-by-step technique, with each step building on the previous one. The correct answer is D. structured.
The work of structured methodology is to provide a frame-work within which the systems development can produce an effective solution to a business problem which requires the use of a computer system and a set of techniques. Structured analysis refers to a method of development in which permission is given to the analyst to understand and know about the system and all of its activities in a logical way. It is a graphic that is used to specify the presentation of the application.
Thus, a structured methodology is process-oriented and develops in a step-by-step technique, with each step building on the previous one. The correct answer is option D.
To learn more about methodology, visit: https://brainly.com/question/15124725
#SPJ11
a(n) _________ is a social entrepreneur who creates something new through the combination of diverse and different elements.
A(n) innovator is a social entrepreneur who creates something new through the combination of diverse and different elements.
Innovators are individuals who identify new opportunities, generate new ideas, and find ways to bring them to life. They are known for their creativity, vision, and ability to connect seemingly unrelated ideas and concepts to create something new and valuable.
In the context of social entrepreneurship, innovators may use their skills and resources to address social or environmental challenges, create new business models, or develop innovative products or services that benefit society. They may also work in collaboration with other individuals or organizations to bring about positive change and make a lasting impact in their communities.
To know more about innovator here
https://brainly.com/question/19969274
#SPJ4
A "social innovator" is a social entrepreneur who creates something new through the combination of diverse and different elements.
Social innovators identify and address social problems by developing and implementing innovative solutions that are effective, sustainable, and scalable. These individuals combine their passion for positive change with their entrepreneurial skills to create new approaches that can lead to significant social impact.
The process of social innovation begins with identifying a specific social issue or problem that needs to be addressed. Social innovators then research and analyze the issue, seeking to understand its root causes and identify possible solutions.
Next, they brainstorm and generate ideas for new approaches or interventions that can address the issue more effectively than existing methods. These ideas may involve the combination of different elements, such as technologies, social practices, and business models, which together can lead to novel solutions.
In summary, a social innovator is a social entrepreneur who creates something new by combining diverse and different elements to address social problems. Their approach includes identifying the issue, generating innovative ideas, testing and refining solutions, and scaling up for maximum impact.
For such questions on entrepreneur visit:
https://brainly.com/question/29617062
#SPJ11
calgary industries is preparing a budgeted income statement. predicted sales for the year are $745,000 and cost of goods sold is 40% of sales. the expected selling expenses are $82,500 and the expected general and administrative expenses are $91,500, which includes $24,500 of depreciation. the company's income tax rate is 30%. budgeted net income is:
The budgeted net income for Calgary Industries is $191,100.
To calculate the budgeted net income for Calgary Industries, we can follow these steps:
Calculate the cost of goods sold (COGS) using the given information that COGS is 40% of sales:
COGS = 40% of $745,000 = $298,000
Calculate the total operating expenses, which is the sum of selling expenses and general and administrative expenses (excluding depreciation):
Total Operating Expenses = Selling Expenses + General and Administrative Expenses (excluding depreciation)
Total Operating Expenses = $82,500 + $91,500 - $24,500 = $149,500
Calculate the operating income, which is the difference between sales and COGS and total operating expenses:
Operating Income = Sales - COGS - Total Operating Expenses
Operating Income = $745,000 - $298,000 - $149,500 = $297,500
Calculate the income before taxes, by subtracting the operating income from depreciation:
Income Before Taxes = Operating Income - Depreciation
Income Before Taxes = $297,500 - $24,500 = $273,000
Calculate the income tax expense, using the given income tax rate of 30%:
Income Tax Expense = Income Before Taxes * Income Tax Rate
Income Tax Expense = $273,000 * 0.30 = $81,900
Calculate the budgeted net income, which is the income before taxes minus the income tax expense:
Budgeted Net Income = Income Before Taxes - Income Tax Expense
Budgeted Net Income = $273,000 - $81,900 = $191,100
So, the budgeted net income for Calgary Industries is $191,100.
To know more about budget visit:
https://brainly.com/question/12941169
#SPJ11
when preparing the balance sheet for papago company for december 31, 2021, which item would not be classified as a current liability? multiple choice note payable due march 1, 2023 accounts payable income taxes due on september 15, 2022 the current portion of a 30-year mortgage
In the given options, the item that would not be classified as a current liability is the current portion of a 30-year mortgage
The current portion of a 30-year mortgage would not be classified as a current liability.
Current liabilities are those obligations that are due within one year or the company's operating cycle, whichever is longer. Examples of current liabilities include accounts payable, notes payable due within one year, and income taxes payable.
The current portion of a long-term liability, such as a 30-year mortgage, represents the portion of the principal that is due within the next 12 months. This amount is classified as a current liability on the balance sheet. However, the remaining portion of the mortgage, which is not due within the next 12 months, would be classified as a long-term liability.
To learn more about mortgage.. here
https://brainly.com/question/1318711
#SPJ4
Suppose you want to buy a 8-year. $1.000 par value semi-annual bond with an annual coupon rate of 6%, but pays interest semi-annually. If the bond has 7 years left to maturity and it is currently quoted at 102, what is the yield-to-maturity of the bond? (Round your answer to two decimal point)
The yield-to-maturity of the bond is approximately 2.76%.
The first step is to calculate the bond's present value using the given quote. The bond is quoted at 102, which means it is priced at 102% of its face value or $1,020 (102% x $1,000).
Next, we need to calculate the semi-annual coupon payment. The coupon rate is 6% per year, so the semi-annual coupon rate is 3% (6% / 2). The semi-annual coupon payment is therefore $1,000 x 3% = $30.
Then, we need to calculate the number of semi-annual periods remaining until maturity. The bond has 7 years left to maturity, which means there are 14 semi-annual periods remaining (7 years x 2 semi-annual periods per year).
Now, we can use the present value formula to calculate the bond's yield-to-maturity. The formula is:
PV = C x [1 - (1 + r)^-n] / r + FV / (1 + r)^n
where PV is the present value of the bond, C is the semi-annual coupon payment, r is the yield-to-maturity, n is the number of semi-annual periods remaining, and FV is the face value of the bond.
Using the values we have calculated, we can rearrange the formula to solve for the yield-to-maturity:
r = [C x (FV / PV) x (1 - (1 + r)^-n)] / [((1 + r)^n - 1) x 0.5]
Substituting the values we have calculated, we get:
r = [30 x (1,000 / 1,020) x (1 - (1 + r)^-14)] / [((1 + r)^14 - 1) x 0.5]
Using a financial calculator or a spreadsheet, we can solve for r, which is approximately 0.0138 or 1.38% per semi-annual period.
To annualize the yield, we need to multiply it by 2 (since there are two semi-annual periods per year):
Annual Yield-to-Maturity = 2 x 1.38% = 2.76%
Therefore, the yield-to-maturity of the bond is approximately 2.76%.
For more questions like Bond click the link below:
https://brainly.com/question/28489869
#SPJ11
The treasurer of a major U.S. firm has $28 million to invest for three months. The interest rate in the United States is .28 percent per month. The interest rate in Great Britain is .32 percent per month. The spot exchange rate is £.628, and the three-month forward rate is £.631.
What would be the value of the investment if the money is invested in U.S and Great Britain? (Enter your answers in dollars, not in millions of dollars, and round your answers to 2 decimal places, e.g., 1,234,567.89.)
The value of the investment, if money invested in both the US and Great Britain, would be $56,624,788.01.
How we calculate the value of the investment?To calculate the value of the investment in the US, we can use the formula:
Value of investment = Principal x (1 + interest rate[tex])^t^i^m^e^[/tex]
Where the principal is $28 million, the interest rate is 0.28% per month, and the time is 3 months.
So the value of the investment in the US would be:
Value of investment in US = $28,000,000 x (1 + 0.0028[tex])^3[/tex]
= $28,236,924.96
To calculate the value of the investment in Great Britain, we first need to convert the principal into pounds using the spot exchange rate of £0.628 per dollar:
Principal in pounds = $28,000,000 x £0.628
= £17,584,000
Then we can use the formula:
Value of investment = Principal x (1 + interest rate[tex])^t^i^m^e[/tex] x forward exchange rate
Where the principal is £17,584,000, the interest rate is 0.32% per month, the time is 3 months, and the forward exchange rate is £0.631 per dollar.
So the value of the investment in Great Britain would be:
Value of investment in Great Britain = £17,584,000 x (1 + 0.0032[tex])^3[/tex] x £0.631
= $28,387,864.05
Therefore, the total value of the investment in both the US and Great Britain would be:
Total value of investment = Value of investment in US + Value of investment in Great Britain
= $28,236,924.96 + $28,387,864.05
= $56,624,788.01.
Learn more about investment
brainly.com/question/22530069
#SPJ11
if an appraisal report involves a federally related transaction, it must be prepared by a state-certified or licensed appraiser. true or false
True. If an appraisal report involves a federally related transaction, it must be prepared by a state-certified or licensed appraiser. This requirement is set by federal regulations to ensure the accuracy and integrity of appraisals used in such transactions.
This requirement is set by the Appraisal Subcommittee (ASC) of the Federal Financial Institutions Examination Council (FFIEC) under the Uniform Standards of Professional Appraisal Practice (USPAP). The purpose of this requirement is to ensure that appraisals are conducted in a competent and reliable manner and that the interests of both lenders and borrowers are protected. The Appraisal Subcommittee (ASC) is an agency within the Federal Financial Institutions Examination Council (FFIEC) that oversees the appraisal profession in the United States. One of its key responsibilities is to enforce the Uniform Standards of Professional Appraisal Practice (USPAP), which are the generally accepted ethical and performance standards for the appraisal profession in the United States. Under USPAP, all appraisal reports for federally related transactions must be prepared by state-certified or licensed appraisers. A federally related transaction is defined as any real estate-related financial transaction that is regulated by a federal agency or that involves a federally insured or regulated financial institution.
Learn more about Financial here:
https://brainly.com/question/29641948
#SPJ11
True. If an appraisal report involves a federally related transaction, it must be prepared by a state-certified or licensed appraiser.
This requirement is part of the regulations under the Financial Institutions Reform, Recovery, and Enforcement Act (FIRREA), which was enacted in 1989 to improve the safety and soundness of the financial system. The purpose of requiring a state-certified or licensed appraiser is to ensure that the appraisal report is objective, unbiased, and reliable.
If an appraisal report involves a federally related transaction, it must be prepared by a state-certified or licensed appraiser. This requirement is part of the Appraisal Subcommittee's Uniform Standards of Professional Appraisal Practice (USPAP), which sets forth the minimum standards that must be met by appraisers when appraising property in connection with federally related transactions.
The USPAP requires that appraisals be conducted by appraisers who are certified or licensed in the state in which the property is located, and who have demonstrated a level of competency and knowledge sufficient to perform the appraisal in a professional manner.
By requiring appraisals to be conducted by qualified professionals, the USPAP helps to ensure that appraisals are accurate, unbiased, and reflective of the true value of the property being appraised.
To learn more about “report” refer to the https://brainly.com/question/26177190
#SPJ11
problem 15-01 given the following information concerning a convertible bond: principal: $1,000 coupon: 5 percent maturity: 17 years call price: $1,050 conversion price: $37 (that is, 27 shares) market price of the common stock: $31 market price of the bond: $1,030 what is the current yield of this bond? round your answer to two decimal places. % what is the value of the bond based on the market price of the common stock? use the given above number of shares into which the bond may be converted. round your answer to the nearest dollar. $ what is the value of the common stock based on the market price of the bond? use the given above number of shares into which the bond may be converted. round your answer to the nearest cent. $ what is the premium in terms of stock that the investor pays when he or she purchases the convertible bond instead of the stock? round your answer to the nearest dollar. $ nonconvertible bonds are selling with a yield to maturity of 7 percent. if this bond lacked the conversion feature, what would the approximate price of the bond be? assume that the bond pays interest annually. use appendix b and appendix d to answer the question. round your answer to the nearest dollar. $ what is the premium in terms of debt that the investor pays when he or she purchases the convertible bond instead of a nonconvertible bond? round your answer to the nearest dollar. $ what is the probability that the corporation will call this bond? since the price of the stock is -select- than the exercise price of the bond, the probability of the bond being called is -select- .
a. The current yield of the bond is 4.85%.
b. The value of the bond based on the market price of the common stock is $1,162.
c. The value of the common stock based on the market price of the bond is $33.
d. The premium in terms of stock that the investor pays when purchasing the convertible bond instead of the stock is $1,030 - $1,162 = $132.
e. If the bond lacked the conversion feature, its approximate price would be $923.
f. The premium in terms of debt that the investor pays when purchasing the convertible bond instead of a nonconvertible bond is $1,030 - $923 = $107.
g. The probability that the corporation will call this bond is unknown since the prompt doesn't give information about the stock price being higher or lower than the call price.
Learn more about current yield
https://brainly.com/question/30673976
#SPJ4
You bought a stock one year ago for $49.83 per share and sold it today for $56.83 per share. It paid a $1.37 per share dividend today. What was your realized retum? a The realized rotum was%. (Round t
The realized return on the stock investment is 18.08%.
To calculate the realized return, we need to consider both the capital gain (or loss) and the dividend income. The capital gain is the difference between the selling price and the purchase price, which is $7.00 per share ($56.83 - $49.83). The dividend income is $1.37 per share. Therefore, the total return per share is $8.37 ($7.00 + $1.37).
To calculate the realized return as a percentage, we need to divide the total return by the initial investment and multiply by 100. The initial investment is the purchase price per share, which is $49.83. Therefore, the realized return is 16.78% ($8.37 / $49.83 x 100), rounded to two decimal places.
For more questions like Price click the link below:
https://brainly.com/question/19091385
#SPJ11
Deposits of P are placed into a fund at the end of each year for 10 years. At an effective annual interest rate is 7%, the accumulated value of the series of payments at the end of the 10th year is 1084.31. Find P. a. 73.35 b. 78.48 c. 93.88 d. 88.61 e. 88.75
The answer is (b) 78.48.
How to calculate the value of an annuity deposit based on its accumulated value and the interest rate.?We can use the formula for the future value of an annuity to solve this problem:
FV =[tex]P * (\frac{(1 + r)^{n - 1}} { r})[/tex]
where:
FV is the future value of the annuityP is the annual paymentr is the effective annual interest raten is the number of paymentsIn this case, we know that:
FV = 1084.31
r = 7% = 0.07
n = 10
Substituting these values into the formula, we get:
1084.31 = P * [tex](\frac{(1 + 0.07)^{10 - 1)} }{ 0.07})[/tex]
Solving for P, we get:
P = 1084.31 * [tex](\frac{0.07 } {((1 + 0.07)^{10 - 1}})[/tex] ≈ 78.48
Therefore, the answer is (b) 78.48.
Learn more about value of an annuity.
brainly.com/question/13369387
#SPJ11
The one-year interest rate is 4%. The interest rate for a two-year security is 6%. According to the unbiased expectations theory, the one-year interest rate one year from now must be equal to A. 8.00% B. 8.04% C. 10.00% D. 5.00%.
According to the unbiased expectations theory, the one-year interest rate one year from now must be equal to 8.04%. The answer is B.
According to the unbiased expectations theory, the expected future one-year interest rate one year from now (i.e., R₁₁) equals the average of the expected future one-year interest rate today (i.e., E(R₁₁)) and the current two-year interest rate (i.e., R₂₁).
Mathematically, this can be represented as:
E(R₁₁) = (R₂₁ + R₁₀) / 2
where R₁₀ is the current one-year interest rate.
Rearranging the equation to solve for E(R₁₁), we get:
E(R₁₁) = 2 × E(R₁₁) - R₁₀
Substituting the given values, we get:
8% = 2 × E(R₁₁) - 4%
Solving for E(R₁₁), we get:
E(R₁₁) = (8% + 4%) / 2 = 6%
Therefore, according to the unbiased expectations theory, the expected future one-year interest rate one year from now is 6%.
However, since the two-year interest rate is expected to be 6%, the expected increase in the one-year interest rate is 2%, given by:
E(R₁₁) - R₁₀ = 6% - 4% = 2%
Therefore, the expected future one-year interest rate one year from now is: R₁₁ = R₁₀ + 2% = 4% + 2% = 6%
But since we're looking for the one-year interest rate one year from now, we need to add another year's interest at this rate, giving us a future value of:
(1+6%)² = 1.06² = 1.1236
Converting this back to an interest rate gives us:
R₁₁ = (1.1236 - 1) × 100% = 12.36%
However, we're looking for the one-year interest rate one year from now, not the two-year interest rate. Therefore, we need to solve for the one-year interest rate that would give us the same future value of 1.1236, given by:
(1+R₁₁) = (1+4%) × (1+E(R₁₁))
Substituting E(R₁₁) = 6%, we get:
(1+R₁₁) = (1+4%) × (1+6%)
Solving for R₁₁, we get:
R₁₁ = 8.04%
Therefore, according to the unbiased expectations theory, the one-year interest rate one year from now must be 8.04%.
To know more about unbiased expectations theory, refer here:
https://brainly.com/question/28483452#
#SPJ11
The one-year interest rate in one year must be the same as 8.04%, according to the unbiased expectations hypothesis. The solution is B.
The projected future one-year interest rate in one year is predicted by the unbiased expectations hypothesis. (i.e., R₁₁) equals the average of the expected future one-year interest rate today (i.e., E(R₁₁)) and the current two-year interest rate (i.e., R₂₁).
E(R₁₁) = (R₂₁ + R₁₀) / 2
Here R₁₀ is the current one-year interest rate.
Solve for E(R₁₁), we get:
E(R₁₁) = 2 × E(R₁₁) - R₁₀
Substituting the given values, we get:
8% = 2 × E(R₁₁) - 4%
Solving for E(R₁₁), we get:
E(R₁₁) = (8% + 4%) / 2 = 6%
As a result, the unbiased expectations theory predicts that one year from now, the interest rate will be 6%.
However, because a 6% increase in the two-year interest rate is anticipated, a 2% increase in the one-year interest rate is predicted instead.
E(R₁₁) - R₁₀ = 6% - 4% = 2%
Therefore, the expected future one-year interest rate one year from now is: R₁₁ = R₁₀ + 2% = 4% + 2% = 6%
(1+6%)² = 1.06² = 1.1236
Converting this back to an interest rate gives us:
R₁₁ = (1.1236 - 1) × 100% = 12.36%
But rather than the two-year interest rate, we're interested in the rate that will apply in one year. Therefore, we must find the one-year interest rate that will result in the same future value of 1.1236 using the following formula:
(1+R₁₁) = (1+4%) × (1+E(R₁₁))
Substituting E(R₁₁) = 6%, we get:
(1+R₁₁) = (1+4%) × (1+6%)
Solving for R₁₁, we get:
R₁₁ = 8.04%
Therefore, according to the unbiased expectations theory, the one-year interest rate one year from now must be 8.04%.
Learn more about unbiased expectations theory, refer here:
brainly.com/question/28483452#
#SPJ4
What is the yield to maturity (use formula 10-3) for the following bonds? Assume these are bonds issued in the U.S. Assume a par value of $1,000 and semi-annual coupon payments. a. 10 years to maturity, 6% coupon rate, the current price is $950. 6 | P a g e b. 16 years to maturity, 0% coupon rate, the current price is $339.
Yield to maturity (YTM) is a financial concept used to estimate the total return an investor can expect to earn from a fixed-income investment, such as a bond, if held until maturity. It is expressed as an annual percentage rate (APR) and takes into account various factors, including the bond's current market price, par value, coupon interest rate, and time until maturity.
a. Bond with 10 years to maturity, 6% coupon rate, current price of $950.
Coupon payment (C) = 6% / 2 = $30 (since it's a semi-annual coupon payment)
Face value (F) = $1,000
Current price (P) = $950
Number of periods to maturity (n) = 10 years * 2 = 20
Plugging in the correct values into the YTM formula:
YTM = 2 * ((C + ((F - P) / n)) / (F + P))
YTM = 2 * ((30 + ((1000 - 950) / 20)) / (1000 + 950))
YTM = 2 * ((30 + (2.5)) / 1950)
YTM = 2 * (32.5 / 1950)
YTM = 0.0333 or 3.33%
So, the correct yield to maturity (YTM) for this bond is approximately 3.33%.
b. Bond with 16 years to maturity, 0% coupon rate, current price of $339.
Coupon payment (C) = 0% / 2 = $0 (since it's a zero-coupon bond)
Face value (F) = $1,000
Current price (P) = $339
Number of periods to maturity (n) = 16 years * 2 = 32
Plugging in the correct values into the YTM formula:
YTM = 2 * ((C + ((F - P) / n)) / (F + P))
YTM = 2 * ((0 + ((1000 - 339) / 32)) / (1000 + 339))
YTM = 2 * ((0 + (20.97)) / 1339)
YTM = 2 * (20.97 / 1339)
YTM = 0.0313 or 3.13%
So, the correct yield to maturity (YTM) for this bond is approximately 3.13%.
To know more about yield to maturity (YTM) visit:
https://brainly.com/question/30753972
#SPJ11
10 . competitive supermarkets a small town is served by many competing supermarkets, which all have the same constant marginal cost. use the black point (plus symbol) to show the competitive price and quantity in this market. then use the green area (triangle symbol) to shade the area representing consumer surplus in the market for groceries, and use the purple area (diamond symbol) to shade the area representing producer surplus. competitive market competitive outcome consumer surplus producer surplus price, cost, revenue quantity of groceries demand marginal cost now suppose that the independent supermarkets combine into one chain. use the black point (plus symbol) to show the profit-maximizing monopoly outcome. then use the green area (triangle symbol) to shade the area representing consumer surplus in the market for groceries, and use the purple area (diamond symbol) to shade the area representing producer surplus. finally, use the black area (plus symbol) to shade the area representing deadweight loss. monopoly monopoly outcome consumer surplus producer surplus deadweight loss price, cost, revenue quantity of groceries demand marginal cost marginal revenue which of the following statements is true about the changes that occur after the supermarkets merge? check all that apply. consumer surplus falls. total surplus falls. the market price remains unchanged.
In the competitive market scenario, the competitive price and quantity are determined by the intersection of the demand curve and the marginal cost curve.
Step 1: Identify the point where the demand curve intersects the marginal cost curve. This point represents the competitive price and quantity.
Step 2: To find consumer surplus, locate the area above the market price and below the demand curve. Shade this area with the green area (triangle symbol).
Step 3: To find producer surplus, locate the area below the market price and above the marginal cost curve. Shade this area with the purple area (diamond symbol).
Now, let's analyze the monopoly outcome after the supermarkets merge.
Step 4: Identify the intersection point between the marginal cost curve and the marginal revenue curve. This determines the profit-maximizing quantity.
Step 5: Determine the monopoly price by finding the point on the demand curve that corresponds to the profit-maximizing quantity.
Step 6: Shade the new consumer surplus area with the green area (triangle symbol) and the new producer surplus area with the purple area (diamond symbol).
Step 7: Calculate the deadweight loss by finding the area between the demand curve and the marginal cost curve that is not part of the consumer or producer surplus. Shade this area with the black area (plus symbol).
Regarding the changes that occur after the supermarkets merge:
- Consumer surplus falls, as the price increases and the quantity consumed decreases.
- Total surplus falls, as the deadweight loss is introduced due to the monopolistic pricing.
- The market price does not remain unchanged; it increases under the monopoly outcome.
Learn more about competitive market here: https://brainly.com/question/28267513
#SPJ11
the upper paleolithic refers to the time period between ___________ and ___________ years ago.
The upper paleolithic refers to the time period between 50,000 and 10,000 years ago.
The Upper Paleolithic had a cultural explosion on par with the Renaissance. Many of the human traditions that serve as the cornerstone of modern social life initially appeared during the Upper Paleolithic, commonly referred to as the Late Stone Age.
Dates for the Upper Paleolithic range from 50,000 to 10,000 years ago. African, European, and Asian populations of several human types coexisted during this period. They significantly improved instruments and artistic mediums. Materials that were readily available locally were used to create Upper Paleolithic art. Local flora were used to create dyes, and sculptures were carved out of a range of materials.
Learn more about Paleolithic age here:
https://brainly.com/question/14723700
#SPJ4
Suppose that 5 years ago the Cisco Company sold a 15-year bond issue, which had a par value of $5,000 and a coupon rate of 7 percent. Interest is paid semiannually. If the required return is 12 percent, what is the price of the bond today? Under what condition is it sold?
a. OR $7,276.70, discounted
b. Or $7,276.70, with premium
c. Or $3,279.40, with premium
d. $3,279.40, discounted
e. OR $7,276.70, per pair
Suppose that 5 years ago the Cisco Company sold a 15-year bond issue, which had a par value of $5,000 and a coupon rate of 7 percent. Interest is paid semiannually. If the required return is 12 percent, period of bond is $3,279.40, and on discounted condition. Correct alternative is d.
Information given in the questions are as follows
Face value = 5000
Coupon rate = 7%
Years to maturity = 10 (since the 15 year bond is issued 5 years ago)
Required return = 12%
Coupon Payment =350
Maturity= 15
Market rate= 12.00%
Number of times compounded= 2
PV(0.12/2,15*2,-350/2,-5000)
= $3,279.40
Since the price of the bond is less than the face value of the bond, the bond is selling at a discount
Answer = $3,279.40, discount
To know more about value calculation here:
https://brainly.com/question/29199569#
#SPJ11
Driver distraction contributes between to 50 t 60 percent of all crashes.True or False
The statement is false. Driver distraction is a contributing factor in many motor vehicle crashes, but its percentage of total crashes is difficult to accurately estimate as it can vary based on many factors such as location, type of vehicle, and driving behavior.
While some studies have suggested that distraction may be a factor in 50-60% of crashes, it is important to note that other factors such as impairment, speeding, and weather conditions can also play a significant role. Additionally, determining the exact cause of a crash can be complex and may involve multiple factors. Therefore, it is important for drivers to always stay focused and avoid distractions while operating a vehicle to help prevent accidents from occurring.
Learn more about vehicle crashes
https://brainly.com/question/28552416
#SPJ4
archaeologists have found little evidence of any hospitality or tourism businesses; it appears that the industry started in more modern times.
This statement is generally true. While there may have been some limited forms of hospitality or tourism businesses in ancient times (such as inns or lodgings for travelers), the modern tourism industry, as we know it today, did not emerge until the 19th and 20th centuries.
Before the modern era, travel was often difficult and dangerous, and most people traveled only out of necessity, such as for trade, pilgrimage, or military purposes. While there were some notable examples of early tourism, such as the Grand Tour of Europe undertaken by wealthy young men in the 17th and 18th centuries, these were the exception rather than the rule.
The growth of the modern tourism industry was fueled by a combination of factors, including improvements in transportation (such as the development of railroads and steamships), rising levels of income and leisure time, and the emergence of new forms of tourism such as beach resorts and theme parks.
To know more about hospitality here
https://brainly.com/question/618712
#SPJ4
While there may not be much evidence of hospitality or tourism businesses in ancient times, this is not surprising given the informal nature of these industries and the fact that the concept of tourism as we know it today did not exist. The modern hospitality and tourism industry has its roots in the 19th century and has grown rapidly in the years since, becoming a significant contributor to many national economies around the world.
Archaeologists have indeed found little evidence of hospitality or tourism businesses in ancient times, indicating that these industries started in more modern times. This lack of evidence could be attributed to a number of reasons. Firstly, hospitality and tourism were not highly organized industries in ancient times, and therefore the physical remains of such businesses may not have been well-preserved.
Additionally, hospitality and tourism were often provided on an informal basis by local residents, making it difficult for archaeologists to distinguish between a residential structure and a hospitality establishment.Another factor that may have contributed to the lack of evidence is that the concept of tourism as we know it today did not exist in ancient times. Instead, people traveled for reasons such as trade, religious pilgrimage, or military conquest.
These journeys were often arduous and dangerous, and travelers were primarily concerned with finding shelter and provisions rather than recreational activities.It wasn't until the 19th century that the concept of tourism as a leisure activity began to emerge, and with it, the development of a more formal hospitality industry. This industry grew rapidly throughout the 20th century, fueled by advances in transportation and communication technology, and the increasing wealth and leisure time of the middle class.
For more such questions on hospitality
https://brainly.com/question/31440281
#SPJ11
A new three-year CMO has two tranches. The 'A' tranche has a principal of $28.9 million with an annual.coupon of 3.25%. The 'Z' tranche has a coupon of 5.21% with a principal of $34.7 million. The mortgages backing the security issue have a fixed rate of 6.17% with a maturity of three years. All payments are made and compounded annually at the end of the year. The issue will be over-collateralized with $4.7 million of equity. Priority payments made to the 'A' tranche will consist of A's promised coupon, all mortgage pool amortization, and any interest accrued to the "Z' tranche. Once the 'A' tranche has been repaid, the 'Z' tranche will start to receive its own interest and all mortgage pool amortization. The equity class will only get residual cash flows. How much total cash flow will be received by the 'A' tranche in year 1 of the CMO? $21.75 million $22.35 million $22.96 million $23.56 million $24.17 million Previous Page Next Page Page 12 of 25
The total cash is $12.37945 million.
How to find the total cash flow?The total cash flow received by the 'A' tranche in year 1 of the CMO can be calculated as follows:
Total mortgage pool interest = $28.9 million * 3.25% = $0.93825 million
Total interest payable to 'Z' tranche = $34.7 million * 5.21% = $1.80787 million
Total interest available to 'A' tranche = $0.93825 million + $1.80787 million = $2.74612 million
As the mortgages are fixed-rate, the principal repayment will be equal in every year. Therefore, the principal repayment for the first year will be equal to the total principal of the CMO minus the total equity, which is:
Total principal - Equity = $28.9 million + $34.7 million - $4.7 million = $58.9 million
Hence, the total cash flow received by the 'A' tranche in year 1 will be:
Total interest available to 'A' tranche + Principal repayment to 'A' tranche = $2.74612 million + ($28.9 million / 3) = $2.74612 million + $9.63333 million = $12.37945 million
Therefore, the answer is $12.37945 million.
Learn more about cash flow
brainly.com/question/29768594
#SPJ11
Customers should be billed for back-orders when a. The back-ordered goods are shipped b. The original goods are shipped c. Customers are not billed for back-orders because a back-order is a lost sale
When the items on backorder are dispatched, customers should be invoiced. Here option A is the correct answer.
This is because a back-order represents a delayed fulfillment of the customer's original order, and the customer has agreed to wait for the goods to become available. Billing the customer at the time of shipment ensures that the business receives payment for the goods, and it also helps to manage cash flow and accounts receivable.
Billing the customer when the original goods are shipped could create confusion and potential disputes over timing and pricing. If the back-ordered goods have a different price than the original goods, the customer may be surprised by the final bill and feel misled.
It is not recommended to refrain from billing for back-orders because a back-order is considered a lost sale. While it is true that some customers may cancel their back-orders if the wait time is too long, many customers are willing to wait for the goods to become available. By billing customers when the back-ordered goods are shipped, businesses can ensure they receive payment for goods that the customer has agreed to purchase.
To learn more about cash flow
https://brainly.com/question/30066211
#SPJ4
Suppose you came into some money and looking for a bond to invest in. You found a $1,000, with 7 years left to maturity bond. If the bond has a 7% coupon rate but pays interest semi-annually and you require a 5% return on your investment, how much are you willing to pay for the bond? (Round your answer to two decimal point)
I am willing to pay $985.81 today for this bond if you require a 5% return on your investment.
How to calculate the price of the bond?To calculate the price of the bond, we need to find the present value of all the future cash flows (interest payments and principal repayment) discounted at the required rate of return of 5%.
The bond has a face value of $1,000 and a coupon rate of 7% paid semi-annually, so the semi-annual coupon payment is:
Coupon payment = Face value * Coupon rate / 2
= $1,000 * 7% / 2
= $35
Since the bond pays interest semi-annually, there will be 14 coupon payments (7 years x 2 payments per year) of $35 each. At the end of the 7th year, the bond will also pay back the face value of $1,000.
Using the formula for the present value of an annuity, we can find the present value of the 14 coupon payments:
PV of coupons = Coupon payment * [1 - 1/(1+r)^n] / r
where r is the required rate of return and n is the number of periods (in this case, 14 semi-annual periods).
Plugging in the values, we get:
PV of coupons = $35 * [1 - 1/(1+5%/2)^14] / (5%/2)
= $444.94
Using the formula for the present value of a single sum, we can find the present value of the face value payment:
PV of face value = Face value / (1+r)^n
Plugging in the values, we get:
PV of face value = $1,000 / (1+5%)^14
= $540.87
Therefore, the total present value of the bond's cash flows is:
Total present value = PV of coupons + PV of face value
= $444.94 + $540.87
= $985.81
So you are willing to pay $985.81 today for this bond if you require a 5% return on your investment.
Learn more about cash flows
brainly.com/question/30736595
#SPJ11
The Z score is 1.7. The values of X1, X2, X3, X4 and X5 are respectively .1, .3, .25, .2 and you have to compute the last one.
Explicate the meaning of the different determinants of the Z score.
Will this company default? A yes or no answer does not suffice.
The Z-score is a financial ratio that is used to assess the creditworthiness or financial health of a company. It is typically used to predict the likelihood of a company defaulting on its debt obligations.
How to calculate Z-score?
The Z-score is calculated using various financial ratios and measures, and the determinants of the Z-score are as follows:
X1 - Working Capital/Total Assets: This ratio measures the proportion of a company's total assets that are financed by its working capital (current assets minus current liabilities). A higher value of X1 indicates a higher proportion of working capital to total assets, which is generally considered favorable as it indicates a company's ability to cover short-term obligations.
X2 - Retained Earnings/Total Assets: This ratio measures the proportion of a company's total assets that are financed by its retained earnings (profits reinvested into the business). A higher value of X2 indicates a higher proportion of retained earnings to total assets, which is generally considered favorable as it indicates a company's ability to generate profits and reinvest in the business.
X3 - Earnings Before Interest and Taxes (EBIT)/Total Assets: This ratio measures the proportion of a company's total assets that are generated from its operating earnings before interest and taxes. A higher value of X3 indicates a higher proportion of operating earnings to total assets, which is generally considered favorable as it indicates a company's profitability.
X4 - Market Value of Equity/Total Liabilities: This ratio measures the proportion of a company's total liabilities that are covered by its market value of equity (market capitalization). A higher value of X4 indicates a higher proportion of equity to total liabilities, which is generally considered favorable as it indicates a company's ability to cover its liabilities using its market value of equity.
X5 - Sales/Total Assets: This ratio measures the proportion of a company's total assets that are generated from its sales.
To compute the last value, we need to use the formula for calculating a Z-score:
Z = (X - mean) / standard deviation
We know that the Z-score is 1.7, so we can plug in the values we have and solve for X:
1.7 = (X - 0.21) / 0.08
Multiplying both sides by 0.08 gives:
0.136 = X - 0.21
Adding 0.21 to both sides gives:
X = 0.346
Therefore, the last value, X5, is 0.346.
Now, regarding the question of whether the company will default or not, a yes or no answer does not suffice as the Z score alone is not conclusive. Typically, a Z score value below a certain threshold (usually below 1.8) is considered indicative of a higher risk of default, while a value above the threshold suggests a lower risk of default. However, it's important to consider other factors such as industry norms, economic conditions, and specific circumstances of the company in question before making any definitive conclusions. It's recommended to use the Z score as a tool for initial assessment, but further analysis and evaluation are needed to determine the likelihood of default for a company accurately. Consulting with a financial expert or conducting a comprehensive financial analysis would be advisable in making a well-informed decision.
To know more about default risk visit:
https://brainly.com/question/30885412
#SPJ11
when negotiating, the tendency is to want to win! why is this not a good approach when managing contracted relationships? question 16 options: this approach inhibits the degree of trust and cooperation needed for the alliance to work. a noncompetitive approach can bring about functional conflict. this approach can cause dysfunctional conflict to rise and negotiations to break down. because people have to continue to work together after negotiations. all of these are reasons a competitive approach to negotiation should not be used when managing contracted relationships.
When managing contracted relationships, a competitive approach to negotiation is not a good idea. The reason for this is that a win-lose mentality can inhibit the degree of trust and cooperation needed for the alliance to work effectively.
The reasons why the competitive approach to negotiation is not idealWhen managing contracted relationships, a competitive approach to negotiation is not ideal for several reasons.
Firstly, this approach inhibits the degree of trust and cooperation needed for the alliance to work, as it creates an environment where parties are more focused on winning than collaborating.
Secondly, a noncompetitive approach can bring about functional conflict, which can lead to improved solutions and better understanding between parties.
Additionally, a competitive approach can cause dysfunctional conflict to rise and negotiations to break down, making it difficult for parties to reach mutually beneficial agreements.
Lastly, it is important to remember that people have to continue working together after negotiations, and a competitive approach can create animosity and damage long-term relationships.
In conclusion, all these reasons highlight the importance of avoiding a competitive approach to negotiation when managing contracted relationships, as it can negatively impact trust, cooperation, and the overall success of the partnership.
Learn more about negotiating at
https://brainly.com/question/9312091
#SPJ11
A manufacturer of automobiles is planning a new model and wants to determine the responsiveness
of demand in a number of scenarios. The demand function for the new model is given by the
following function:
Q = 30000 – 3P + 2000ln(PA) + Y
Where Q is the quantity sold of the new model, P is the price for the new model, PA is the price of
the competitor’s model and Y is the annual income of a typical purchaser.
The new model price is planned to be £20,000 and the competitor is charging £25,000. The annual
income of a typical purchaser is £30,000.
The manufacturer's demand function for the new model is: Q = 30,000 - 3P + 2000ln(PA) + Y. Given P = £20,000, PA = £25,000, and Y = £30,000, we can calculate the demand (Q).
Step 1: Plug in the values into the demand function.
Q = 30,000 - 3(20,000) + 2000ln(25,000) + 30,000
Step 2: Simplify the equation.
Q = 30,000 - 60,000 + 2000ln(25,000) + 30,000
Step 3: Calculate 2000ln(25,000).
2000ln(25,000) ≈ 23,766
Step 4: Add the remaining numbers.
Q = -30,000 + 23,766 + 30,000
Step 5: Calculate Q.
Q ≈ 23,766
Approximately 23,766 units of the new model will be sold given the provided values for P, PA, and Y.
To know more about demand function click on below link:
https://brainly.com/question/28198225#
#SPJ11