Cost of Capital: Edna Recording Studios, Inc., reported earnings available to common stock of $4,200,000 last year. From those earnings, the company paid a dividend of $1.26 on each of its 1,000,000 common shares outstanding. The capital structure of the company includes 40% debt, 10% preferred stock, and 50% common stock. It is taxed at a rate of 40%. A) If the market price of common stock is $40 and dividends are expected to grow at a rate of 6% per year for the foreseeable future, what is the company's cost of retained earnings financing? B) If the underpricing and flotation costs on new shares of common stock amount to $7.00 per share, what is the company's cost of new common stock financing? C) The company can issue $2.00 dividend preferred stock for a market price of $25.00 per share. Flotation casts would amount to $3.00 per share. What is the cost of perferred stock financing? D) The company can issue $1,000-par-value, 10% coupon, 5-year bonds that can be sold for $1,200 each. Flotation costs would amount to $25.00 per bond. Use the estimation formula to figure the approximate cost of debt financing. E) What is the WACC?

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Answer 1

A) Cost of Retained Earnings Financing:

The cost of retained earnings financing is the return expected by investors on the company's common stock. This is calculated using the Gordon growth model:

Cost of Retained Earnings (k) = (Dividend per share / Market price per share) + Dividend growth rate

k = ($1.26 / $40) + 6%

k = 0.0315 + 0.06

k = 0.0915 or 9.15%

B) Cost of New Common Stock Financing:

The cost of new common stock financing includes both the dividend yield and the flotation costs:

Cost of New Common Stock (k) = (Dividend per share / Market price per share) + Flotation costs per share

k = ($1.26 / $40) + $7.00

k = 0.0315 + $7.00

k = $7.0315 or $7.03

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Related Questions

some economists argue that regional free trade agreements will provide global benefits only if

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Some economists argue that regional free trade agreements will provide global benefits only if trade creation exceeds trade diversion.

Free trade agreements (FTAs) are agreements reached between two or more countries on a range of topics, such as investor protections, intellectual property rights, and responsibilities influencing trade in goods and services. It could require keeping more records to be able to receive FTA benefits for your product, but it could provide it a competitive edge against products from other countries.

Each FTA has unique features, but they all generally have the same goal of lowering trade barriers and promoting more secure and open business and investment environments. Free trade agreements (FTAs) make it possible for American exporters and manufacturers to gain greater access to other markets. Tariffs are decreased or eliminated, trade barriers are removed through bilateral and global agreements, and economic growth is promoted.

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the opportunity cost of a purchase is: a. always equal to the selling price of what you purchased. b. the lowest possible price. c. the alternative good or service that one sacrifices because a different good was purchased. d. zero if the item is what you want most. e. always greater for people who are out of work than for people who are working.

Answers

The opportunity cost of a purchase is: c. the alternative good or service that one sacrifices because a different good was purchased. This term represents the value of the best alternative option that was not chosen when making a decision.

The opportunity cost of a purchase is the alternative good or service that one sacrifices because a different good was purchased. It is the value of the best alternative foregone. It is important to consider opportunity cost when making a decision as it helps to weigh the benefits and drawbacks of different options. It is not always equal to the selling price of what you purchased, the lowest possible price, zero if the item is what you want most, or always greater for people who are out of work than for people who are working.

Option c is correct.

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You just won the grand prize in a national writing contest! As your prize, you will receive $2,000 a month for ten years. If you can earn 7 percent on your money, what is this prize worth to you today?
A. $172,252.71
B. $178,411.06
C. $181,338.40
D. $185,333.33
E. $190,450.25

Answers

The value of the prize is worth $185,333.33 today. This is because the prize is $2,000 a month for ten years, so it totals $240,000.

When that amount is adjusted for the 7 percent interest rate, it comes to $185,333.33. This amount is calculated by taking the original amount and multiplying it by the present value of an annuity factor.

The factor takes into account the time value of money, which means that money today is worth more than money in the future due to the potential for it to earn interest over time. Therefore, the prize of $240,000 a decade from now is worth less than $240,000 today, when factoring in the 7 percent interest rate.

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Mr. and Mrs. Norton purchased a ski-chalet for $34,500. (This must have been in 1930!) They paid $3,860 down and agreed to make equal payments at the end of every three months for 15 years. Interest is 7.43% compounded quarterly. Do not include the dollar sign, $, in your answers. Do not include the comma usually used to denote thousands. All dollar figures must be exactly 2 decimals. Although the Cash Flow Concept puts a negative sign, "-", in front of many numbers, do not include the negative sign when you put these numbers into Moodle. (a.) What is the size of the payment? Hint: Make sure your calculator is set to 2 decimal places before using AMORT. (b.) What is the balance after the first payment? (C.) How much of the principal is paid in the first payment? (d.) How much interest is paid in the first payment? (e.) What is the balance after the second payment? (f.) How much of the principal is paid in the second payment? (9.) How much interest is paid in the second payment? (h.) How much will they have paid in total after the 15 years? Total paid in payment = Plus the downpayment = (1.) How much interest will they pay in total? Total paid in payments - Original Mortgage =

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(a) Using the PMT function in Excel, with a loan amount of $30,640 ($34,500 - $3,860) and a 15-year term with quarterly payments at 7.43% quarterly interest rate, the size of the payment is $552.23.

(b) After the first payment, the balance is the present value of the remaining payments, which can be calculated using the PV function in Excel. With a rate of 7.43%/4, 14*4 = 56 periods remaining, and a payment of $552.23, the balance is $29,428.05.

(c) The amount of principal paid in the first payment can be calculated by subtracting the interest paid from the total payment. The interest paid can be calculated as the balance multiplied by the quarterly interest rate of 7.43%/4. Therefore, the principal paid is $552.23 - ($29,428.05 x 7.43%/4) = $159.16.

(d) The interest paid in the first payment is $552.23 - $159.16 = $393.07.

(e) After the second payment, the remaining balance is the present value of the remaining payments, which can be calculated using the PV function in Excel. With a rate of 7.43%/4, 13*4 = 52 periods remaining, and a payment of $552.23, the balance is $28,198.54.

(f) The amount of principal paid in the second payment can be calculated by subtracting the interest paid from the total payment. The interest paid can be calculated as the balance multiplied by the quarterly interest rate of 7.43%/4. Therefore, the principal paid is $552.23 - ($28,198.54 x 7.43%/4) = $163.79.

(g) The interest paid in the second payment is $552.23 - $163.79 = $388.44.

(h) The total amount paid after 15 years can be calculated as the total number of payments (154) multiplied by the payment amount, plus the down payment of $3,860. Therefore, the total paid is (154)*$552.23 + $3,860 = $105,791.40.

(i) The total interest paid can be calculated as the total amount paid minus the original mortgage amount of $30,640. Therefore, the total interest paid is $105,791.40 - $30,640 = $75,151.40.

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You are given information for a delta-hedged portfolio for European options that you have written. For each scenario, compute the number of shares to buy or sell (indicate which action to take) on day 1 to maintain the delta-hedge for a portfolio of one option.
Stock Price Call premium Call delta (A)
Day 0 55 6.50 0.4
Day 1 60 9.50 0.6
Stock Price Put premium Put Elasticity()
Day 0 50 1.00 -5
Day 1 49 0.91 -7

Answers

To maintain the delta-hedge for a portfolio of one European call option, you should buy 0.6 shares on Day 1.


The call delta on Day 0 is 0.4, and on Day 1 it's 0.6. The change in delta (∆delta) is 0.6 - 0.4 = 0.2. Since you have written one option, you need to buy 1 × 0.2 = 0.2 shares to maintain the delta-hedge.

However, since the question asks for maintaining the hedge for a portfolio of one option, it means you need to consider the initial 0.4 delta as well. Thus, you should buy 0.4 + 0.2 = 0.6 shares on Day 1.

To maintain the delta-hedge for a portfolio of one European put option, you should sell 7 shares on Day 1.


The put elasticity on Day 0 is -5, and on Day 1 it's -7. The change in elasticity (∆elasticity) is -7 - (-5) = -2. Since you have written one option, you need to sell 1 × 2 = 2 shares to maintain the delta-hedge.

However, since the question asks for maintaining the hedge for a portfolio of one option, it means you need to consider the initial -5 elasticity as well. Thus, you should sell -5 + (-2) = -7 shares on Day 1.

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Consider a British importer who owes €100,000 in one year. The nominal exchange rates in the spot market and the nominal interest rates are as follows: S0(£/€) = £0.80/€, S0($/€) = $2.00/€, S0($/£) = $2.50/£, i£ = 15.5% and i€ = 5%, i$ = 10%. In the next year, there are two possibilities: S1(£/€) = £1.00/€ or S1(£/€) = £0.75/€. The importer can use a money market hedge, a forward market hedge, and an option market hedge on the euro with a pound strike to re-denominate this €100,000 into a £88,000 liability. Construct the transactions that the importer can do and show that a money market hedge, a forward market hedge, and an option market hedge give us the same results

Answers

A money market hedge involves borrowing euros and simultaneously investing the proceeds in British pounds.

This locks in the exchange rate, allowing the importer to know how much sterling he will receive when the debt is repaid. With a forward market hedge, the importer will enter into a forward contract to buy British pounds at an agreed exchange rate when the debt matures.

An option market hedge involves buying an option to buy sterling with a pound strike price, which can be exercised when the debt matures.

All three hedging strategies will give the same result – the importer will receive the equivalent of £88,000 when the debt is repaid.

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according to the video, what happens to average tax rates when incomes in the united states rise? multiple choice they decrease. they remain constant. they increase. they can increase or decrease.

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The impact of rising incomes on the average tax rate depends on the structure of the tax system. If tax rates are progressive, the average tax rate will increase as incomes rise, while a proportional or flat tax rate will remain constant.

Explain about how effects on average tax rates when incomes in the united states rise?

The average tax rate is the total amount of taxes paid divided by the total taxable income. When incomes in the United States rise, the average tax rate can increase or decrease, depending on how the tax system is structured.

If tax rates are progressive, meaning they increase as income increases, then the average tax rate will increase as incomes rise. This is because people will be pushed into higher tax brackets as their income increases, resulting in a higher tax rate on their entire income.

On the other hand, if tax rates are proportional or flat, meaning they remain the same regardless of income level, then the average tax rate will remain constant as incomes rise.

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the institutional framework within which international payments are made, movements of capital are accommodated, and exchange rates among currencies are determined is referred to as the .

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The institutional framework within which international payments are made, movements of capital are accommodated, and exchange rates among currencies are determined is referred to as the international monetary system.

This system comprises a set of institutions, rules, and procedures that govern the exchange and settlement of international transactions, including trade, investment, and financial flows.

The international monetary system has evolved over time, reflecting changes in economic and political conditions, technological developments, and shifts in global power relations. It has been shaped by a range of actors, including states, international organizations, central banks, and private financial institutions.

One of the key features of the international monetary system is the role of reserve currencies, such as the US dollar, in facilitating international transactions and serving as a store of value. Another important element is the management of exchange rates, which can have significant implications for trade and investment flows, as well as domestic economic conditions.

Overall, the international monetary system plays a crucial role in facilitating global economic integration and stability, and its functioning is closely watched by policymakers, analysts, and investors around the world.

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Explain the critical aspects of preparing a capital budget proposal and its biggest risks?

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Preparing a capital budget proposal involves identifying investment opportunities, estimating cash flows, calculating NPV and IRR, and conducting sensitivity analysis.

The proposal should include a detailed description of the project, its expected benefits, the estimated costs, and the timeline for completion. It should also consider potential risks and uncertainties, such as changes in market conditions, unexpected costs, and the potential for the project to fail.

The biggest risks associated with preparing a capital budget proposal are related to inaccurate estimates and inadequate analysis of potential risks. Poorly estimated cash flows, incorrect assumptions about the project's useful life or potential benefits, and insufficient consideration of external factors can lead to an incorrect assessment of the project's financial feasibility.

In addition, inadequate risk analysis can result in the failure to identify and mitigate potential risks, leading to unexpected costs, delays, and other negative consequences. It is crucial to carefully evaluate potential investments and to conduct thorough analysis and risk assessment to ensure the success of a capital budget proposal.

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True or False: One Universal aspect to the gendered division of labor in societies is that women are culturally expected to carry the major responsibility for childcare

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True, one universal aspect of the gendered division of labor in societies is that women are culturally expected to carry the major responsibility for childcare. Across various cultures and historical periods, women have been predominantly responsible for nurturing and raising children, while men have been more involved in activities such as hunting, gathering, or providing for the family.

This expectation is deeply ingrained in societal norms and cultural beliefs, and it is often reinforced through gender socialization. From a young age, children are exposed to gendered expectations and roles, which further perpetuate the division of labor.

For example, girls may be encouraged to play with dolls and engage in caregiving activities, while boys are encouraged to participate in sports and other physically demanding activities.

Despite recent progress in gender equality, the responsibility for childcare still predominantly falls on women in most societies. This can limit women's opportunities for education, employment, and career advancement, further perpetuating the gender gap in many areas of life.

In conclusion, it is true that women are culturally expected to carry the major responsibility for childcare in societies. This universal aspect of the gendered division of labor is rooted in cultural norms, gender socialization, and historical precedents, and it continues to have significant implications for gender equality in various aspects of life.

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how long will it take for vermont to double its economy if it maintains this growth rate? give your answer to two decimals.

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The main agricultural products from this state are those related to nurseries and greenhouses. Vermont is the nation's №1 producer of maple syrup.

What is economy of Vermont?

Vermont's GDP increased by 0.5% from 2021 to $30.2 billion in 2022. Over the five years leading up to 2022, Vermont's GDP increased at an annualised rate of 1.8%. In addition, Vermont is ranked 41st out of the 50 US states for GDP growth during the previous five years.

A country's economy doubles in size during the course of how many years it takes to expand by its percentage growth rate, divided by 70. For instance, if an economy expands at 1% year, it will take 70 / 1 = 70 years for that economy to double in size.

Subtract the growth rate from 70 and double the result. The number of years needed to double is the outcome.

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smith company receives $500,000 of subscription revenue in advance during year 1. the subscription revenue is not included on the income statement, but is reported for tax purposes in year 1. $250,000 will be recognized in year 2 and $250,000 in year 3. smith company is subject to a 40% tax rate. what is the amount of the deferred tax asset at the end of year 2?

Answers

The deferred tax asset at the end of year 2 will be $100,000.

How to calculate the deferred tax asset

Smith Company has received $500,000 of subscription revenue in advance during year 1, but only $250,000 will be recognized in year 2 and year 3 each.

The subscription revenue is not included in the income statement but reported for tax purposes in year 1.

Since the company is subject to a 40% tax rate, it will have to pay taxes on the entire $500,000 in year 1.

However, in year 2 and year 3, it will only recognize $250,000 each year, resulting in lower taxable income and tax liability. This creates a deferred tax asset because the company has already paid taxes on the entire amount but will recognize revenue in future years.

To calculate the amount of deferred tax asset at the end of year 2, we need to determine the tax savings from the lower taxable income in year 2.

The tax savings will be 40% of the $250,000 recognized in year 2, which is $100,000.

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distinguish between common-law liability and statutory liability for auditors. what is the basis for the difference in liability?

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A Liability is defined as a unborn loss of profitable benefits that an reality is needed to give to another reality as a result of once deals or other once events.

Common law liability arises from the legal opinions of judges in deciding a case, a precedent that serves as a companion for other judges to decide future analogous cases and is used in civil action.

On the other hand, legal liability reflects laws legislated at the state or civil position and prescribes certain procedures.

May involve civil or felonious liability. Liability is an obligation or liability to another that's extinguished by the unborn transfer or use of goods, the provision of services or any other profitable sale at a specific or determinable time, upon the circumstance of a specific event or on demand.

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9. power construction builds a new house for sonja. in the contract, all of the windows must be made by pella. power, unable to find all the pella windows needed, installs comparable windows from a competing window company. if sonja refuses to pay power, a court might decide that:

Answers

The court might decide that Sonja would have to pay a reduced price based on the difference in value between Pella windows and the windows actually installed by Power, the correct option is C.

Although Power acted in good faith and its performance was substantial, the fact that they did not use Pella windows as stipulated in the contract is a clear violation of the agreement. As a result, Sonja has the right to refuse to pay the full contract price.

However, Sonja would not be entitled to withhold the entire payment as this would be considered an unfair enrichment, and Power should be compensated for the work they have done. A court might decide that Sonja should pay a reduced price based on the difference in value between Pella windows and the windows actually installed by Power, the correct option is C.

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The complete question is:

Power Construction builds a new house for Sonja. In the contract, all of the windows must be made by Pella. Power, unable to find all the Pella windows needed, installs comparable windows from a competing window company. If Sonja refuses to pay Power, a court might decide that:

A) Sonja would have to pay the contract price in full because Power acted in good faith and its performance was substantial.

B) Sonja would not have to pay anything because Power breached the contract by not using Pella windows.

C) Sonja would have to pay a reduced price based on the difference in value between Pella windows and the windows actually installed by Power.

D) Sonja would have to pay for the non-Pella windows separately, in addition to the contract price.

a 10 year bond has a yield to maturity of 9.50 percent and a modified duration of 6 years. if the market yield increases by 50 basis points, what would the change in the bond's price be?

Answers

The change in the bond's price would be approximately -3.00%.

To calculate the change in the bond's price, use the modified duration and the change in yield.

1. Identify the modified duration: 6 years
2. Identify the initial yield to maturity: 9.50%
3. Determine the change in yield: 50 basis points (0.50%)
4. Multiply the modified duration by the change in yield: 6 * 0.50% = 3.00%
5. Since the yield increased, the bond's price will decrease, so the change is negative: -3.00%

The bond's price will decrease by approximately 3.00% when the market yield increases by 50 basis points.

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Rozanski Co. currently has EBIT of $36,000 and is all equity financed. EBIT are expected to grow at a rate of 3% per year. The firm pays corporate taxes equal to 26% of taxable income. The cost of equity for this firm is 10%.
What is the market value of the firm? Enter your answer rounded to two decimal places.

Answers

Rozanski Co. currently has EBIT of $36,000 and is all equity financed. EBIT are expected to grow at a rate of 3% per year. The firm pays corporate taxes equal to 26% of taxable income. The cost of equity for this firm is 10%.

By using these terms EBIT, growth rate, corporate tax rate, and cost of equity. Let's find the market value of the firm step by step:

1. Calculate the after-tax EBIT (earnings before interest and taxes) by multiplying the EBIT by (1 - corporate tax rate):
After-tax EBIT = $36,000 * (1 - 0.26) = $36,000 * 0.74 = $26,640

2. Determine the perpetuity of the after-tax EBIT by considering the growth rate of 3% per year:
Perpetuity = After-tax EBIT / (Cost of Equity - Growth Rate)
Perpetuity = $26,640 / (0.10 - 0.03) = $26,640 / 0.07 = $380,571.43

The market value of the firm, rounded to two decimal places, is $380,571.43.

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a/an __________ are motivated by a desire to acquire something, for example food riots. (35)

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An acquisitive mob is motivated by a desire to acquire something that is perceived as scarce or in short supply.

These mobs can form when individuals or groups feel that their access to basic necessities such as food, water, or shelter is being threatened or limited. Food riots, for example, are a common type of acquisitive mob that typically occurs in response to food shortages or rising prices. During such riots, people may take to the streets and engage in looting or other forms of violence to secure food or other essential items.

Acquisitive mobs can also form in response to perceived social or economic inequalities. In these cases, individuals may feel that they are being unfairly denied access to resources or opportunities, and may resort to violent or disruptive behavior to express their grievances. Acquisitive mobs can be difficult to control and can pose a significant threat to public safety and social stability.

Effective responses to such mobs require a combination of short-term measures, such as police intervention, and longer-term efforts to address underlying social and economic factors that contribute to mob formation.

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A/an incentive is motivated by a desire to acquire something, for example, food riots.

A motivator or catalyst is something that urges someone to act. Due to a lack of resources, people are driven to buy food in the case of food riots, which gives them the incentive to take action through protests or riots. Positive or negative incentives are possible, as well as financial or non-financial ones. They may also be explicit or implicit, direct or indirect, etc. In economics, incentives are essential in determining how people, businesses, and governments behave. Designing efficient institutions and policies that advance social welfare and economic prosperity requires a thorough understanding of incentives and how they operate.

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Recommendation for Government borrowing
1) Write a report on the topic with bullet points and a brief
explanation of each point

Answers

Recommendations for Government Borrowing are to Maintain a sustainable debt-to-GDP ratio, Diversify sources of borrowing, Utilize long-term borrowing, Prioritize productive investments, Monitor and manage fiscal risks, etc.

1. Maintain a sustainable debt-to-GDP ratio
- The government should aim to keep its debt levels manageable compared to the size of its economy, as a high debt-to-GDP ratio may lead to reduced investor confidence and increased borrowing costs.

2. Diversify sources of borrowing
- To reduce dependency on a single source of funding and minimize risks, the government should explore various borrowing options, including issuing bonds, obtaining loans from international organizations, and borrowing from other countries.

3. Utilize long-term borrowing
- Long-term borrowing can help the government to lock in lower interest rates, providing more predictable debt servicing costs and allowing for better planning of future spending and investment.

4. Implement a robust debt management strategy
- A well-defined debt management strategy can help the government minimize borrowing costs, manage risks, and ensure timely debt servicing. This may include developing a debt management office to oversee and coordinate borrowing activities.

5. Prioritize productive investments
- Government borrowing should be directed towards productive investments, such as infrastructure development, education, and healthcare, which can promote long-term economic growth and improve living standards.

6. Enhance transparency and accountability
- To maintain trust and credibility among investors, the government should provide regular and accurate information about its borrowing activities and debt levels, and demonstrate responsible fiscal management.

7. Monitor and manage fiscal risks
- The government should identify and assess potential fiscal risks, such as economic downturns, natural disasters, or changes in global financial conditions, and develop contingency plans to mitigate their impact on debt levels and borrowing costs.

By following these recommendations, government borrowing activities can be conducted responsibly and contribute to sustainable economic growth and development.

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if quanity supplies equals 85 units and the quanity demanded equals 80 units under a price contol then it is a

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It is a situation of excess supply, also known as a surplus. In the given scenario, the quantity supplied exceeds the quantity demanded, indicating a surplus in the market.

Surplus or excess supply refers to a situation where the quantity supplied of a good or service exceeds the quantity demanded at a given price. This can occur when there is a price control in place, such as a price ceiling or price floor, or in a free market without any price controls.

In this case, the quantity supplied exceeds the quantity demanded, resulting in an excess of goods in the market. Price controls, such as price ceilings or price floors, are government-imposed policies that can distort the equilibrium price and quantity in a market, leading to imbalances between supply and demand.

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which approach to forecasting draws on economic theory to develop models that predict exchange rate movements?

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The econometric approach to forecasting draws on economic theory to develop models that predict exchange rate movements.

This approach involves analyzing economic factors such as inflation, interest rates, and trade balances, as well as political and social factors that may impact currency values. By understanding these factors and using them to create predictive models, economists can forecast future exchange rate movements with a certain level of accuracy.

It is a method that is used to forecast exchange rates by gathering all relevant factors that may affect a certain currency. It connects all these factors to forecast the exchange rate. The factors are normally from economic theory, but any variable can be added to it if required.

For example, say, a forecaster for a Canadian company has researched factors he thinks would affect the USD/CAD exchange rate. From his research and analysis, he found that the most influential factors are: the interest rate differential (INT), the GDP growth rate differences (GDP), and the income growth rate (IGR) differences.

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The approach to forecasting that draws on economic theory to develop models that predict exchange rate movements is known as the fundamental analysis approach. This approach involves analyzing various economic factors that impact currency exchange rates, such as interest rates, inflation, political stability, and trade balances.

Fundamental analysis is a method of forecasting that uses economic factors, such as interest rates, inflation rates, trade balances, and other macroeconomic indicators, as well as geopolitical events and market sentiment, to predict exchange rate movements. It relies on the belief that economic fundamentals drive currency movements in the long term and that analyzing these factors can provide insights into future exchange rate trends. Fundamental analysis is commonly used by economists, currency traders, and financial institutions to make informed decisions about foreign exchange transactions and investments.

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the central bank increases the money supply by 3% over a long period while the country runs at full employment. in the long run, what does the quantity theory of money say will happen?

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According to the quantity theory of money, in the long run, a sustained increase in the money supply would lead to a proportional increase in the price level, while real output and employment would remain unchanged at their full-employment levels.

Therefore, if the central bank increases the money supply by 3% over a long period while the country runs at full employment, the quantity theory of money would predict a long-run increase in the price level by approximately 3%, assuming that the money velocity and the real output of the economy remain constant.

This theory assumes that changes in the money supply lead to proportional changes in nominal spending and prices in the long run, while real variables such as output and employment are determined by factors such as technology, capital stock, and labor supply.

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rod wants to avoid paying large amounts for car repairs if he is in an accident, so what should he include in his budget?

Answers

Vehicle insurance

Hope this helps have a nice day :)

The Meldrum Co. expects to sell 3,000 units, ± 15 percent, of a new product. The variable cost per unit is $8, ± 5 percent, and the annual fixed costs are $12,500, ± 5 percent. The annual depreciation expense is $4,000 and the sale price is $18 a unit, ± 2 percent. The project requires $24,000 of fixed assets which will be worthless when the project ends in six years. Also required is $6,500 of net working capital for the life of the project. The tax rate is 21 percent and the required rate of return is 12 percent. What is the net present value of the pessimistic scenario?
A. $13,810.29
B. $14,008.16
C. $12,979.40
D. $8,308.15
E. $10,146.18

Answers

The net present value of the pessimistic scenario is -$22,191.85. The answer is not one of the choices given.

To calculate the net present value (NPV) of the pessimistic scenario, we need to follow these steps:

1: Calculate the pessimistic values of the variables.

Sales volume: 3,000 - 15% = 2,550 units

Variable cost per unit: $8 + 5% = $8.40

Fixed costs: $12,500 - 5% = $11,875

Sale price: $18 - 2% = $17.64

2: Calculate the annual cash flows.

Revenue = Sales volume x Sale price

= 2,550 x $17.64

= $45,074.40

Variable costs = Sales volume x Variable cost per unit

= 2,550 x $8.40

= $21,420

Contribution margin = Revenue - Variable costs

= $45,074.40 - $21,420

= $23,654.40

Fixed costs = Annual fixed costs + Depreciation expense

= $11,875 + $4,000

= $15,875

Operating income before taxes = Contribution margin - Fixed costs

= $23,654.40 - $15,875

= $7,779.40

Taxes = Operating income before taxes x Tax rate

= $7,779.40 x 21%

= $1,633.27

Net income = Operating income before taxes - Taxes

= $7,779.40 - $1,633.27

= $6,146.13

Annual cash flow = Net income + Depreciation expense

= $6,146.13 + $4,000

= $10,146.13

3: Calculate the present value of each annual cash flow.

where PV is the present value, CF is the cash flow, r is the required rate of return, and n is the number of years.

Year 0:

Initial investment = Fixed assets + Net working capital

= $24,000 + $6,500

= $30,500

PV0 = -$30,500 (negative because it's a cash outflow)

Year 1-6:

= $8,308.15

4: Calculate the net present value.

NPV = PV0 + PV1-6

= -$30,500 + $8,308.15

= -$22,191.85

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Q4 - A family has established a trust fund for its children, attending college, and has paid $101.514 to a bank. In return, the bak is going to pay the family $20,000 every year for the next 6 years. The first payment will be made 1 year from the day the family paid the bank. What is the interest rate that thic trust fund will be earning?

Answers

The trust fund is earning an interest rate of 5%.

Calculate the the interest rate earned by the trust fund?

To solve for the interest rate earned by the trust fund, we can use the present value formula:

PV = PMT x (1 - 1/(1+r)^n) / r

Where PV is the present value of the payments, PMT is the payment amount, r is the interest rate, and n is the number of payment periods.

In this case, we know that the family paid $101,514 upfront and will receive $20,000 per year for 6 years, with the first payment made 1 year after the initial payment. Therefore, PMT = $20,000, n = 6, and the time period is 5 years.

We can rearrange the formula to solve for r:

r = (PMT / ((PV x r) + PMT)) x (1 - 1/(1+r)^n)

We can start by assuming an interest rate and then use the formula to calculate the present value of the payments. We can then compare this value to the initial payment of $101,514 to see if the assumed interest rate is too high or too low.

Let's assume an interest rate of 4%. Plugging in the values, we get:

PV = $20,000 x (1 - 1/(1+0.04)^6) / 0.04 = $98,619.56

Since $98,619.56 is less than the initial payment of $101,514, we know that the interest rate must be higher than 4%. Let's try an interest rate of 5%:

PV = $20,000 x (1 - 1/(1+0.05)^6) / 0.05 = $101,150.70

Since $101,150.70 is very close to the initial payment of $101,514, we know that the interest rate is approximately 5%. Therefore, the trust fund is earning an interest rate of 5%.

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Case 4 Mrs. Manisha, a bank employee received a call from her house maid that her 2 year old son was found unconscious on the floor. Mrs. Manisha rushed to her home and found her son unconscious. Beside him was the paracetamol syrup bottle empty. She realized that the child had consumed a bottle of paracetamol syrup that was almost full. She rushed the child to the emergency unit of a nearby hospital. The blood investigations are as follows AST 600 IU/L (< 35) ALT 785 IU / L(<40) ALP 84 10/ L (30-120) Bilirubin 1.5 mg % (< 1.0)

Answers

The ALP level is within the normal range. In this case, it is crucial for the medical team to provide prompt treatment to prevent further liver damage and other complications.

Based on the case presented, it appears that Mrs. Manisha's 2-year-old son accidentally consumed a bottle of paracetamol syrup and is now unconscious. She rushed him to the emergency unit of a nearby hospital, where blood investigations were conducted.

The blood investigations show that the child's AST and ALT levels are significantly elevated, indicating liver damage. The ALP levels are within normal range, and the bilirubin levels are slightly elevated.

Paracetamol overdose can cause liver damage, and the elevated AST and ALT levels are consistent with this. The child will need to receive treatment to address the liver damage, which may include medication and supportive care.

It is important to keep all medications out of reach of children and to follow proper dosing instructions to prevent accidental overdose. If a child does accidentally consume medication, it is important to seek medical attention immediately.

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Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 28% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 6%.
Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as follows:
WBills Windex Expected Return Variance 0.6 0.4 0.092 0.0125 Example
0.8 0.2 0.4 0.6 1 0 0 1 0.2 0.8

Answers

Using the given historical data and weights, the expected return and variance of the T-bills and S&P 500 index portfolios are:

Expected return: 9.2% for the 0.6 T-bill/0.4 S&P 500 portfolio and 8.4% for the 0.8 T-bill/0.2 S&P 500 portfolio.

Variance: 1.25% for the 0.6 T-bill/0.4 S&P 500 portfolio and 0.36% for the 0.8 T-bill/0.2 S&P 500 portfolio.

To calculate the expected return of each portfolio, we multiply the weight of each asset (T-bills and S&P 500) by its expected return and sum the results. For example, the expected return of the 0.6 T-bill/0.4 S&P 500 portfolio is:

(0.6 x 6%) + (0.4 x (6% + 8%)) = 9.2%

To calculate the variance of each portfolio, we use the formula:

Variance = (w1^2 x σ1^2) + (w2^2 x σ2^2) + 2(w1 x w2 x σ1 x σ2 x ρ)

where w1 and w2 are the weights of the two assets, σ1 and σ2 are their standard deviations, and ρ is the correlation between them (which we assume to be 0 since they are uncorrelated). For example, the variance of the 0.6 T-bill/0.4 S&P 500 portfolio is:

(0.6^2 x 0) + (0.4^2 x 0.28^2) = 0.0125 or 1.25%

The variance of the 0.8 T-bill/0.2 S&P 500 portfolio is:

(0.8^2 x 0) + (0.2^2 x 0.28^2) = 0.0036 or 0.36%

These calculations can help investors make informed decisions about how to allocate their assets between T-bills and the S&P 500 index.

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1. Your company has $3,000,000 that can be used for triangular arbitrage. You observe the following exchange rates:
You can sell dollars for 0.888 euros per dollar and buy dollars for 0.896 euros per dollars.
You can sell Australian dollars (A$) for $.73 and buy Australian dollars for $.75.
You can sell Australian dollars (A$) for 0.68 euros per A$ and buy Australian dollars (A$) for 0.70 euros per A$.
a. (8 points) What profits can you earn from triangular arbitrage?
b. (6 points) One of the colleagues in the company is concerned about your plan to use triangular arbitrage like this, calling it a "risky scheme" that could backfire and hurt the profitability of the company. Is your colleague correct? Explain why or why not.

Answers

a. Triangular arbitrage profit = $35,714.2.

b. The colleague is not correct

$/A$ = 0.73-0.75

Euro/A$ = 0.68-0.70

Bid Euro/$ = Bid Euro/A$ * Bid A$/$ = Bid Euro/A$ * (1/Ask $/A$) = 0.68 * (1/0.75) = 0.907

Ask Euro/$ = Ask Euro/A$ * Ask A$/$ = Ask Euro/A$ * (1/Bid $/A$) = 0.70 * (1/0.73) = 0.959

Cross Rate = Euro/$ = 0.888-0.896

2 approaches to arbitrage are as follows:

(i) Buy $ via A$ rate i.e., 0.959(ask rate) and Sell $ via cross rate i.e., 0.888(bid rate)

(ii) Buy $ via cross rate i.e., 0.896 (ask rate) and Sell $ via A$ rate i.e., 0.907 (bid rate)

Only (ii) approach will result in Profit. (i) will generate loss

Steps for Arbitrage:

(1) Buy A$ using $3,000,000, and receive 3,000,000/0.75(ask rate) = A$ 4,000,000

(2) Buy Euro using A$ 4,000,000 via A$ Rate, and receive 4,000,000*0.68 (bid rate) = Euro 2,720,000

(3) Buy $ using Euro 2,720,000, and receive 2,720,000/0.896 (ask rate) = $3,035,714.29

Arbitrage Profit = USD received at the end - USD invested at the beginning = $3,035,714.29 - $3,000,000 = (a) $35,714.29

(b)

Arbitrage strategies are strategies to take advantage of the price differential in two different markets. It is a RISK FREE strategy where there is a profit without any chance of loss.

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US decided to print 26 trillion dollars to pay the national debt. What are the possible short-run and long-run consequences (on the economy, households, businesses, and national trade partners)? Which income group will be more affected (low-income, mid-income, or high-income), and why? • Would you invest in cryptocurrency? Why or why not?

Answers

Short-run consequences of printing 26 trillion dollars could be inflation and a devaluation of the US dollar; long-run consequences could include a decrease in foreign investment and a creditworthiness reduction.

The low-income group will be more affected because they have limited resources to cope with inflation, and the devaluation of the US dollar will increase the price of imported goods

No, because investing in cryptocurrency carries significant risks, including price volatility, regulatory uncertainties, and cybersecurity threats.

In the short-run, printing a significant amount of money can lead to inflation as the increased supply of money may cause prices to rise. Additionally, a devaluation of the US dollar could occur, making imports more expensive and exports cheaper, which could result in a trade imbalance.

In the long run, a reduction in foreign investment could occur as other countries may perceive the US as having a lack of financial stability. This could lead to a reduction in the country's creditworthiness, making it harder for the government to borrow money in the future.

The low-income group will be more affected by inflation and the devaluation of the US dollar because they have limited resources to cope with rising prices. When the value of the US dollar decreases, the prices of imported goods rise, which will disproportionately affect low-income households, who typically spend a more significant proportion of their income on necessities.

Investing in cryptocurrency is a personal decision that depends on an individual's risk tolerance, financial goals, and understanding of the market. While some investors see the potential for high returns in the cryptocurrency market, it is essential to recognize the risks associated with it. Cryptocurrencies are highly volatile, and their value can fluctuate significantly in a short period.

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assume that an investor owns 124 shares of $12 par value common stock of a company and the company has a 2-for-1 stock split when the market price per share is $46. required: how many shares of common stock will the investor own after the stock split? what will probably happen to the market price per share of the stock? what will probably happen to the par value per share of the stock?

Answers

The par value per share of the stock will probably decrease to: $6 after the stock split.


1. The investor initially owns 124 shares of $12 par value common stock.


2. The company has a 2-for-1 stock split when the market price per share is $46.

To determine how many shares the investor will own after the stock split, we can simply multiply the initial number of shares by the split ratio (2-for-1):

124 shares x 2 = 248 shares

So, the investor will own 248 shares of common stock after the 2-for-1 stock split.

As for the market price per share after the stock split, it will likely decrease. This is because the total market value of the company remains the same, but the number of shares has doubled. Typically, the price per share will decrease to roughly half of the original price:

$46 / 2 = $23 (approximately)

Therefore, the market price per share of the stock will probably decrease to around $23 after the stock split.

Regarding the par value per share of the stock, it will also likely decrease following the stock split. This is because the total par value of the company's shares remains constant, but the number of shares has doubled. In a 2-for-1 stock split, the par value per share will be divided by 2:

$12 / 2 = $6

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linking savers and investors is an important role of: question 6 options: a well-functioning financial system. government. the public sector. consumers.

Answers

linking savers and investors is an important role of: a well-functioning financial system. The correct answer is (a)

A well-functioning financial system plays a vital role in linking savers and investors by providing channels for savers to invest their money in various financial assets, such as stocks, bonds, and mutual funds. At the same time, it provides opportunities for investors to access the funds they need to invest in various projects, such as businesses and infrastructure.

The financial system achieves this by facilitating the transfer of funds from savers to investors, ensuring that the funds are allocated efficiently to those who need them the most. This helps to promote economic growth and development by creating opportunities for investment, job creation, and wealth creation.

While the government and the public sector play an essential role in creating and maintaining a well-functioning financial system, it is the financial markets and institutions that provide the infrastructure and mechanisms that facilitate the transfer of funds from savers to investors. Consumers, on the other hand, are an important part of the financial system as they contribute to the demand for financial products and services, such as bank accounts, credit cards, and insurance policies.

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