A higher number of periods in a moving average model is similar to lower alpha value in an exponential smoothing model. 1) True 2) False

Answers

Answer 1

The statement is False. A higher number of periods in a moving average model is not similar to a lower alpha value in an exponential smoothing model.

In a moving average model, the number of periods refers to the number of data points that are included in the calculation of the moving average. A higher number of periods leads to a smoother average line, which means it considers more historical data points to calculate the average. This can result in a slower response to recent changes in the data.

On the other hand, in an exponential smoothing model, the alpha value determines the weight given to the most recent observation. A lower alpha value means less weight is placed on the most recent observation, resulting in a smoother and slower response to changes compared to a higher alpha value. Therefore, a higher number of periods in a moving average model corresponds to a longer historical period being considered, while a lower alpha value in an exponential smoothing model corresponds to a greater emphasis on older observations and less responsiveness to recent changes.

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Related Questions

• elaborate at least 5 Challenges and role face the
industrial sector to Malaysia.
*
Explain national development policy thrust
with example

Answers

Challenges and roles faced by the industrial sector in Malaysia, the industrial sector is an essential component of Malaysia's economy, and its contribution is crucial to the country's development.

However, the industrial sector faces several challenges in its effort to sustain its contribution to the economy and maintain growth. These challenges include:

1. International competition: Malaysia faces stiff competition from other countries, especially in Asia. Other countries produce similar products but at a lower cost. This creates a challenge for Malaysia to be competitive in the international market.

2. Technology: The rapid pace of technological innovation requires the industrial sector to adopt new technologies to remain competitive. This can be a significant challenge for small and medium-sized companies that may not have the financial resources to invest in new technologies.

3. Infrastructure: Inadequate infrastructure such as roads, ports, and telecommunications can hinder the growth of the industrial sector.

4. Human resources: The industrial sector needs skilled workers who are proficient in new technologies. However, there is a shortage of skilled workers, especially in specialized fields such as engineering and computer science.

5. Environmental issues: Industrial activities can have adverse effects on the environment. Malaysia faces the challenge of balancing the need for economic growth with environmental sustainability.

Explain national development policy thrust with example

The national development policy thrust in Malaysia is aimed at promoting economic growth and reducing poverty. The policy includes measures such as improving infrastructure, promoting investment, and increasing access to education and healthcare. An example of a national development policy is the Eleventh Malaysia Plan (2016-2020).

This plan focuses on enhancing economic growth by investing in key sectors such as tourism, healthcare, and education. The plan also includes measures to reduce poverty and improve the standard of living for Malaysians. One of the strategies is to promote human capital development by providing access to education and training programs.

The Eleventh Malaysia Plan also aims to promote sustainability by investing in renewable energy and reducing carbon emissions. This is in line with Malaysia's commitment to the Paris Agreement on climate change. Overall, the national development policy thrust in Malaysia is aimed at achieving sustainable economic growth while improving the quality of life for Malaysians.

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If an American firm opens a production facility in India, the total value of production, or output, will be included in a) a. GNP of India Ob) b. GDP of the US O c) c. GDP of India d) d. GNP of the US 31) Complete the statement: Whomever has the good, and should therefore specialize and a) A) higher; absolute advantage; export b) B) lower; comparative advantage; import Oc) C) lower : comparative advantage; export d) D) lower; absolute advantage ; export opportunity cost has the that good primarily under trade. in that coffee 15 U.S. 20 coffee 10 Saudi Arabia a) A) None have the comparative advantage in cars b) By Both have the comparative advantage in cars Oc) C) U.S. to cars 32) Consider Figure 00, which shows the PPFs for the U.S. and Saudi Arabia. Which country has the comparative advantage in cars (the endpoint for Saudi Arabia in cars is 40)? d) D) Saudia Arabia has the lower opp cost (.25) than the U.S. (.75) in cars

Answers

If an American firm opens a production facility in India, the total value of production, or output, will be included in c) GDP of India.

Complete the statement: Whomever has lower opportunity cost should therefore specialize and b) lower; comparative advantage; import.

Regarding the comparative advantage in cars, c) U.S. has the comparative advantage in cars.

Comparative advantage is an economic concept that highlights the ability of a country, individual, or firm to produce a particular good or service at a lower opportunity cost compared to others. It emphasizes the efficiency gained through specialization and trade. When entities focus on producing goods or services where they have a comparative advantage, they can trade with others who have a different comparative advantage, leading to increased overall production and welfare. Comparative advantage forms the basis for international trade and promotes economic cooperation and specialization.

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The company places orders each quarter that are 67 percent of the following quarters sales and has 6 day payable period.What is the accounts payable balance at the end of the third quarter Sale Q1 $77,500 Q2$$80,900 Q3$87,250 Q4$95,280

Answers

The accounts payable balance at the end of the third quarter would be approximately $58,396.27.

To calculate the accounts payable balance at the end of the third quarter, we need to determine the purchases made in the third quarter and subtract any payments made during that quarter.

First, let's calculate the purchases made in the third quarter:

Purchases Q3 = Sales Q4 * 67% = $95,280 * 67% = $63,789.60

Next, let's calculate the payments made in the third quarter:

Payments Q3 = Purchases Q2 * 6-day payable period / 90 days (quarterly period) = $80,900 * 6/90 = $5,393.33

Finally, we can calculate the accounts payable balance at the end of the third quarter:

Accounts Payable Balance Q3 = Accounts Payable Balance Q2 + Purchases Q3 - Payments Q3

Assuming the accounts payable balance at the end of the second quarter is $0 (not provided in the question), the calculation would be as follows:

Accounts Payable Balance Q3 = $0 + $63,789.60 - $5,393.33 = $58,396.27

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An ice cream business is paying an effective tax rate of 25%. The company is considering the purchase of a new turbo churn for $25,000. This churn is a special handling device for food manufacture and has an estimated life of 4 year and a salvage value of $5,000. The new churn is expected to increase net income by $8,000 per year for each of the 4 years of use. If the ice cream company works with an after tax MARR of 10% and uses 3-year MACR depreciation, should the company buy the churn? Consider after-tax net present worth analysis.

Answers

Based on the after-tax NPW analysis and using a 10% after-tax MARR, the ice cream company should not buy the churn.

To determine whether the ice cream company should buy the churn, we will perform an after-tax net present worth (NPW) analysis. Here are the steps:

Step 1: Calculate the annual after-tax cash flows.

The annual after-tax cash flow is the net income generated by the churn minus the taxes paid on that income. Since the effective tax rate is 25%, we can calculate the after-tax cash flow as follows:

Annual After-Tax Cash Flow = Net Income - (Net Income * Tax Rate)

Annual After-Tax Cash Flow = $8,000 - ($8,000 * 0.25)

Annual After-Tax Cash Flow = $6,000

Step 2: Calculate the present worth factor.

To calculate the present worth factor, we will use the after-tax MARR (10%) and the churn's estimated life (4 years). The present worth factor can be determined using financial tables or formulas. Assuming the present worth factor for 10% and 4 years is 3.1699.

Step 3: Calculate the after-tax net present worth.

After-Tax NPW = (Annual After-Tax Cash Flow * Present Worth Factor) - Initial Investment

After-Tax NPW = ($6,000 * 3.1699) - $25,000

After-Tax NPW = $19,019.40 - $25,000

After-Tax NPW = -$5,980.60

Step 4: Evaluate the decision.

If the after-tax NPW is positive, it indicates that the investment is profitable and should be pursued. If the after-tax NPW is negative, it indicates that the investment is not financially favorable.

In this case, the after-tax NPW is -$5,980.60, which means that the churn investment would result in a net loss.

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B. What will be the price of a 3% coupon, $1,000 face value bond 15 years from today if the bond matures in 25 years and the going rate of interest for such bonds is 6%?
C. What is the value of a $1,000 zero-coupon bond that matures in 25 years when the required rate of return is 4.5% ?
D. What is the yield-to-maturity of a $1,000 bond with a coupon rate of 7%, a 19 year maturity, and a current price of $1,260?
E. What is the price of one share of 6% preferred stock that has a par value of $50 while investors have a required rate of return of 8%?
F. What is the required rate of return on a $5 preferred stock with a market price of $57 and a par value of $30?
G. Using the dividend growth model, what is the value of one share of a common stock that paid a dividend of $2.40 yesterday when investors require a 10% return on their investment and who perceive that dividends will grow at 4% per year for the foreseeable future?
H. What is a stock's total rate of return if it sells for $50 in the market, paid a dividend of $3.70 yesterday, and investors anticipate the company's dividend will grow at 5% for the foreseeable future?
1. Assuming a stock sells for $70 and paid a $2.15 dividend yesterday, what is the stock's capital gains yield if it's dividends are expected to grow at 4% each year for the foreseeable future?
J. What is a stock's total rate of return if it paid a dividend of $4.71 yesterday, sells for $62, and investers feel that dividends will grow at 5% per year for the foreseeable future?

Answers

B. To calculate the price of a bond, the formula given below is used:Price of bond = [C * (1 - (1 + r)^-n) / r] + [F / (1 + r)^n]

Where,C = Coupon paymentF = Face valuer = Periodic interest rate, i.e. YTM / m (m is the number of compounding per year)n = Number of periods.

, Therefore using the above formula, the price of the bond is calculated as follows:Price of bond = [(0.03 * 1000) * (1 - (1 + 0.06 / 2)^-30) / (0.06 / 2)] + [1000 / (1 + 0.06 / 2)^30]= $1,123.20 (approximately)

C. To calculate the price of a zero-coupon bond, the formula given below is used:Price of bond = F / (1 + r)^nWhere,F = Face valuer = Required rate of returnn = Number of periods

Therefore, using the above formula, the price of the bond is calculated as follows:Price of bond = 1000 / (1 + 0.045)^25= $301.96 (approximately)

D. To calculate YTM, the formula given below is used:P = C / (1 + r)1 + C / (1 + r)2 + ... + C / (1 + r)n + F / (1 + r)nWhere,P = Price of bondC = Periodic coupon paymentF = Face valuer = Yield to maturityn = Number of periods

Therefore, using the above formula, the YTM is calculated as follows:1260 = 70 / (1 + r)^1 + 70 / (1 + r)^2 + ... + 70 / (1 + r)^19 + 1000 / (1 + r)^19r = 5.5%D.

To calculate the price of a preferred stock, the formula given below is used:Price of stock = D / rWhere,D = Dividendr = Required rate of returnTherefore, using the above formula, the price of the preferred stock is calculated as follows:Price of stock = (0.06 * 50) / 0.08= $37.50E. To calculate the required rate of return, the formula given below is used:Required rate of return = (Dividend / Market price) + Dividend growth rateTherefore, using the above formula, the required rate of return is calculated as follows:Required rate of return = (5 / 57) + (5 / 30)= 14.47%F. To calculate the value of a common stock, the formula given below is used:Value of stock = D / (r - g)Where,D = Dividendr = Required rate of returng = Dividend growth rate

Therefore, using the above formula, the value of the common stock is calculated as follows:Value of stock = (2.40 * (1 + 0.04)) / (0.10 - 0.04)= $35.04 (approximately)

G. The total rate of return is calculated as follows:Total rate of return = Dividend yield + Capital gains yieldDividend yield = Dividend / Market priceCapital gains yield = (Dividend growth rate + Capital gains rate) / (1 + Required rate of return)Therefore, using the above formula, the total rate of return is calculated as follows:Dividend yield = 3.70 / 50= 7.40%Capital gains yield = (0.05 + (Market price - Purchase price) / Purchase price) / (1 + 0.05)= 12.38%Total rate of return = 7.40% + 12.38%= 19.78%H.

The capital gains yield is calculated as follows:Capital gains yield = (Market price - Purchase price) / Purchase price= (50 - 2.15) / 2.15= 2.30%The total rate of return is calculated as follows:Total rate of return = Dividend yield + Capital gains yieldDividend yield = Dividend / Market price= 3.70 / 50= 7.40%

Therefore, using the above formula, the total rate of return is calculated as follows:Total rate of return = 7.40% + 2.30%= 9.70%I. The capital gains yield is calculated as follows:Capital gains yield = Dividend growth rate= 4%The total rate of return is calculated as follows:Total rate of return = Dividend yield + Capital gains yieldDividend yield = Dividend / Market price= 2.15 / 70= 3.07%Therefore, using the above formula, the total rate of return is calculated as follows:Total rate of return = 3.07% + 4%= 7.07%J.

The total rate of return is calculated as follows:Total rate of return = Dividend yield + Capital gains yieldDividend yield = Dividend / Market price= 4.71 / 62= 7.60%Capital gains yield = Dividend growth rate= 5%.

Therefore, using the above formula, the total rate of return is calculated as follows:Total rate of return = 7.60% + 5%= 12.60%

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You are thinking of opening a copy shop. It costs $8000 to rent a copier per year. It costs $0.023 per copy to operate a copier. Other fixed costs of running the store amount to $600 per month ($7200 per year). You charge an average of 0.12 per copy. You are open 365 days per year. Each copier can make up to 150,000 copies per year.
a. Using Excel, construct a two-way profit table (number of copiers on the left running top to bottom and daily demand on the top running from left to right) for 1 to 5 copiers rented and daily demands of 1000, 1500, 2000, and 2500 copies per day. That is, compute annual profit for each of these combinations of copiers rented and daily demand.
b. Given that you rent three copiers, what daily demand for copies will allow you to break even? Draw a break-even graph to show this break-even relationship.

Answers

The break-even daily demand is approximately 269 copies per day.

To construct a two-way profit table, we need to compute the total profit. Total profit is equal to the total revenue minus the total cost. We can then use Excel to compute the total profit for each combination of copiers rented and daily demand.

Using the given information, we can compute the total cost as follows:

Total cost = Rent + Cost per copy + Fixed costs

Total cost = 8000 + 0.023 x 150000 + 7200

Total cost = 11550

The total revenue for a given combination of copiers rented and daily demand is the product of the number of copies made and the price per copy.

That is,

Revenue = Number of copies x Price per copy

We can then compute the total profit as follows:

Total profit = Total revenue - Total cost

Total profit = (Number of copies x Price per copy) - 11550

For example, for one copier and a daily demand of 1000 copies, the number of copies made in a year is 365 x 1000 = 365000.

The total revenue is 365000 x 0.12 = 43800.

The total profit is 43800 - 11550 = 32250.

Using Excel, we can compute the total profit for each combination of copiers rented and daily demand as shown below

To break even, the total revenue must be equal to the total cost. That is,

Revenue = Total cost

The revenue for a given daily demand is the product of the number of copies made and the price per copy. We can then compute the number of copies that need to be made in a day to break even as follows:

Number of copies to break even = Total cost / Price per copy

Number of copies to break even = 11550 / 0.12

Number of copies to break even = 96250

Using three copiers, the number of copies that can be made in a year is 3 x 150000 = 450000.

The number of copies that can be made in a day is 450000 / 365 = 1232.

The price per copy is given as $0.12.

Therefore, the total revenue is 1232 x 0.12 = 147.84.

This is less than the fixed costs of $600 per month or $7200 per year. Therefore, the break-even daily demand is greater than 1232 copies per day.

Using the break-even formula, we can compute the break-even daily demand as follows:

Total cost = Rent + Cost per copy + Fixed costs

Total cost = 8000 + 0.023 x Number of copies + 7200

Revenue = Number of copies x Price per copy

Total cost = Revenue11550 + 0.023 x Number of copies + 7200

= Number of copies x 0.1211750

= Number of copies x 0.12

Number of copies = 97916.67 copies per year

Number of copies per day = 97916.67 / 365

Number of copies per day = 268.22 copies per day

To draw a break-even graph, we can plot the total cost and total revenue as a function of the number of copies. The break-even point is the point where the total cost and total revenue intersect.

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Voyager, Inc. issued callable bonds paying a semi-annual coupon at a coupon rate of 4% that can be called after five years. The maturity period for these bonds is 30 years, and the bonds were issued one year ago. What is the Yield to Call if the market price of these bonds are $950? 4.22% 5.41% 5.15% 3.91% 4.30% 4.13% QUESTION 9 Investment Grade beyonds will have a S&P rating of: AA- or above BBB- or above B- or above CCC+ or above

Answers

Based on the given options, the closest match to the calculated YTC will be the answer.Using these inputs, we can use a financial calculator or a spreadsheet to find the YTC.

To calculate the Yield to Call (YTC) for the callable bonds issued by Voyager, Inc., we need the following information:

- Coupon rate: 4% (annual coupon rate)

- Market price: $950

- Par value: Assuming it's $1,000 (typically the face value of bonds)

The bonds can be called after five years, which means the call date is five years from the issuance date.

To find the YTC, we need to determine the call price of the bond and the number of periods until the call date.

The call price is the price at which the issuer can redeem the bonds before maturity. Typically, it is higher than the face value of the bond. However, the call price is not provided in the given information, so we'll assume it is the par value of $1,000.

The number of periods until the call date is the difference between the call date and the current date, which is one year.

Using these inputs, we can use a financial calculator or a spreadsheet to find the YTC.

Based on the given options, the closest match to the calculated YTC will be the answer.

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The Yield to Call (YTC) refers to the rate of return earned on a bond if it is called (redeemed) by the issuer before its maturity date. To calculate the YTC, we need to determine.

The interest rate at which the present value of the bond's future cash flows equals its current market price.

In this case, Voyager, Inc. issued callable bonds with a coupon rate of 4% and a maturity period of 30 years. The bonds can be called after five years, and they were issued one year ago. The market price of the bonds is $950.

To calculate the YTC, we can use Excel's built-in function called "RATE."

Set up an Excel spreadsheet with the following information in separate cells:

Coupon rate: 4% (divided by 2 for semi-annual payments, so enter 2%)

Number of periods until call date: 5 (since the bonds can be called after five years)

Number of periods until maturity: 30 (total maturity period)

Annual market price: $950

Coupon payments: (coupon rate * par value) / 2 (since it is a semi-annual coupon payment)

Par value: $1,000

In an empty cell, use the RATE function to calculate the YTC:

=RATE((number of periods until call date * 2), coupon payments, -market price, par value, 1)

In this case, the formula would be:

=RATE(10, 20, -950, 1000, 1)

Press Enter to calculate the YTC.

In this case, the calculated YTC is approximately 5.41%. Therefore, the correct answer is "5.41%."

Investment-grade bonds are bonds that are considered relatively safe and have a lower risk of default. Credit rating agencies, such as Standard & Poor's (S&P), assign ratings to bonds based on their creditworthiness. The rating categories for S&P are as follows:

AA- or above: Very high credit quality, with a low risk of default.

BBB- or above: Good credit quality, with a moderate risk of default.

B- or above: Speculative credit quality, with a high risk of default.

CCC+ or above: Highly speculative credit quality, with a very high risk of default.

Therefore, the correct answer is that investment-grade bonds will have an S&P rating of "AA- or above."

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18. Differences in resources determine patterns of trade A. The Ricardian Model B. The Specific Factor Model C. The Heckcher-Ohlin Model D. The Gravity Model E. None of the above 19. It was the GATT round that first introduced the opening of monetary market and the protection of intellectual property A. Marrakech Round B. Doha Round C. Uruguay Round D. Bali Round 20. It was the WTO round that incorporated developing countries in the process of commerce liberalization A. Marrakech Round B. Doha Round C. Uruguay Round D. Bali Round 21. The implementation of too many Quality Standards could be considered as a(n)... A. Technical Barrier to Trade B. Non-Technical Barrier to Trade C. Mixed Barriers to Trade D. None of the above 22. It is considered an unfair trade strategy once a country or firm deliberately lowers the prices of their product to eliminate the competition A. Technical Barrier to Trade B. Non-Technical Barrier to Trade C. Mixed Barriers to Trade D. None of the above 23. It is an economic integration process where two or more countries agree to implement a Common External Tariff (CET) A. Free Trade Zone B. Common Market C. Custom Union D. None of the above

Answers

The exchange of goods and services, frequently for money, between individuals or organizations is known as Trade.

The voluntary exchange of goods or services between various economic actors is known as trade. A transaction will only take place if both parties believe it will be beneficial to their respective interests because neither party is obligated to trade.

18) The Heckscher-Ohlin model states that trade patterns are determined by resource differences. It is option C. The Heckscher-Ohlin model looks at the equilibrium of trade between two nations with different natural resources and specialties.

19) The opening of the monetary market and the protection of intellectual property were first introduced at the GATT-Uruguay round. It is option C.

20) The Doha round of the World Trade Organization included developing nations in the process of commerce liberalization. It is option B.

21) A non-technical barrier to trade could be the implementation of too many quality standards. It is option B.

22) A technical barrier to trade is a trade strategy that is unfair if a country or business intentionally lowers the price of their product to eliminate competition. It is Choice A.

23) Custom Association is a monetary combination process where at least two nations consent to carry out a Typical Outside Levy (CET). It's choice C.

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Suppose a company needs funds for a project so it is selling some $1,000 par value, 5% annual coupon rate bond with 20 years to maturity. If the bond pays interest monthly and if the market's required

Answers

A bond is a debt instrument that is issued by corporations, municipalities, and government entities to raise money for projects or other purposes. A bond is a promise to repay a sum of money at a set time in the future, along with interest payments over the life of the bond. The interest payments on a bond are known as the coupon rate.

Suppose a company needs funds for a project, so it is selling some $1,000 par value, 5% annual coupon rate bond with 20 years to maturity. If the bond pays interest monthly and if the market's required yield to maturity on a comparable-risk bond is 4.75%, the bond will sell at a premium.

A premium bond is a bond that sells above its par value. The premium is the difference between the price at which the bond is sold and its par value. In this case, the bond is sold at a premium because the market's required yield to maturity on a comparable-risk bond is lower than the coupon rate of the bond being offered.

The calculation of the bond price is as follows:

P = C/r * [1 - 1/(1+r)^n] + FV/(1+r)^n

Where,

P is the price of the bond
C is the annual coupon payment
r is the monthly yield to maturity
n is the total number of months until maturity
FV is the face value of the bond

Given that the bond pays interest monthly, we need to convert the annual coupon rate and yield to maturity into monthly rates.

Annual coupon rate = 5%
Monthly coupon rate = 5%/12 = 0.4167%

Market's required yield to maturity = 4.75%
Monthly yield to maturity = 4.75%/12 = 0.3958%

Now, substituting the given values into the bond price formula, we get:

P = 20*12*(0.4167%)*[1 - 1/(1+0.3958%)^(20*12)] + $1,000/(1+0.3958%)^(20*12)

P = $1,171.47

Therefore, the bond will sell at a premium of $171.47 because its price is higher than its par value of $1,000.

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A fast growing firm paid a dividend of $0.79 per share during the most recent year, Ê The dividend is expected to increase at a rate of 24.0% per year for the next 3 years ,Ê Afterwards, a more stable 5.25% annual growth rate should be assumed - If a 10.15% discount rate is appropriate for this stock, what is its value? (Note: Round all calculations to 2 decimal places, i.e. $12.34)"
$28.74
$25.94
$27.31
$25.07
$22.05
$30.08
$31.62

Answers

The value of the stock is approximately $70.24. To calculate the value of the stock, we need to determine the present value of all the expected future dividends. The dividend growth rate changes after the first 3 years. We'll use the dividend discount model (DDM) to calculate the stock's value.

The DDM formula is: V = D1 / (1 + r) + D2 / (1 + r)^2 + ... + Dn / (1 + r)^n

where:

V = Stock's value

D1, D2, ..., Dn = Expected dividends for each year

r = Discount rate

Given information:

Dividend for the most recent year (D0) = $0.79 per share

Dividend growth rate for the next 3 years = 24.0% per year

Stable dividend growth rate after 3 years = 5.25% per year

Discount rate (r) = 10.15%

Using the formula, we can calculate the value of the stock:

V = (D1 / (1 + r)) + (D2 / (1 + r)^2) + (D3 / (1 + r)^3) + [(D3 * (1 + g)) / (r - g)]

First, let's calculate the dividends for the next 3 years:

D1 = D0 * (1 + growth rate) = $0.79 * (1 + 0.24) = $0.9796

D2 = D1 * (1 + growth rate) = $0.9796 * (1 + 0.24) = $1.2158

D3 = D2 * (1 + growth rate) = $1.2158 * (1 + 0.24) = $1.5090

Now, let's calculate the stock's value:

V = ($0.9796 / (1 + 0.1015)) + ($1.2158 / (1 + 0.1015)^2) + ($1.5090 / (1 + 0.1015)^3) + [($1.5090 * (1 + 0.0525)) / (0.1015 - 0.0525)]

V ≈ $2.27 + $2.72 + $3.05 + $62.20 ≈ $70.24

Therefore, the value of the stock is approximately $70.24.

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The commission structure on a stock purchase is $60 plus $0.03
per share. If you purchase seven round lots of a stock selling for
$162, what is your commission?
Multiple Choice
$21
$39
$60
$81

Answers

The commission for purchasing seven round lots of a stock selling for $162 would be $60 plus $0.03 per share, resulting in a total commission of $81.

To calculate the commission, we need to determine the total number of shares purchased and multiply it by the commission rate per share.

A round lot typically consists of 100 shares. Since you purchased seven round lots, the total number of shares bought is 7 round lots * 100 shares/round lot = 700 shares. The commission rate per share is $0.03. Therefore, the commission based on the number of shares is 700 shares * $0.03/share = $21.

In addition to the commission based on the shares, there is a fixed commission of $60. To find the total commission, we add the commission based on shares ($21) to the fixed commission ($60): $21 + $60 = $81. Hence, the correct answer is $81.

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If a term of a contract is unclear and the parties disagree on its meaning, a judge will resolve the dispute by:
a. Applying the interpretation of the party who commenced the lawsuit.
b. Applying her own subjective interpretation of the term.
c. Applying the interpretation of a reasonable person.
d. Applying the interpretation of the party who drafted the contract.

Answers

If a term of a contract is unclear and the parties disagree on its meaning, a judge will resolve the dispute by option c) applying the interpretation of a reasonable person.

A contract is a legal agreement between two or more people in which one or more parties agree to provide something in exchange for something else. A contract might be written or spoken, and it can be enforced by law. If there is a disagreement about the terms of a contract, the judge will interpret it. Judges' goal is to interpret the contract in a way that reflects what the parties intended when they made the contract.

If the terms of a contract are ambiguous, or unclear, a judge can look at several factors to determine what the parties meant, including: The words used in the contract; The parties' conduct before and after signing the contract; The parties' trade customs or industry standards; and The parties' negotiations leading up to the contract. If the meaning of a term in a contract is unclear, the judge will resolve the dispute by applying the interpretation of a reasonable person (Option C).

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Security Standard Deviation Beta A .3945 0.99 B .3103 1.25 C
.1469 1.17 D .2711 1.05 Which security has the most systematic
risk?

Answers

To determine which has the most systematic risk, we can examine the beta values. Beta measures the sensitivity of a security's returns to market movements. Higher beta values indicate higher systematic risk, meaning the security's returns are more strongly influenced by overall market fluctuations.

Several factors can contribute to higher systematic risk:

Market Volatility: If the market experiences higher volatility, it increases the likelihood of larger price swings in stocks, bonds, and other investment instruments. Higher market volatility indicates a higher level of systematic risk.

Economic Conditions: Economic factors such as inflation, interest rates, GDP growth, and geopolitical events can impact the performance of various investments. If these factors are unstable or unpredictable, it can lead to higher systematic risk.

Industry Exposure: Some industries are inherently more sensitive to economic changes and market conditions. For example, industries like technology, energy, and financial services may have higher systematic risk due to their dependence on specific market factors or regulatory changes.

Global Factors: Investments with exposure to international markets can face higher systematic risk. Factors such as political instability, currency fluctuations, and global economic conditions can impact investments with international exposure.

Systemic Events: Unforeseen events such as natural disasters, pandemics, or financial crises can create widespread market disruptions and increase systematic risk. These events can have a significant impact on multiple sectors and asset classes simultaneously.

Among the securities provided, Security B has the highest beta value of 1.25. This indicates that Security B is more sensitive to market movements and has a higher systematic risk compared to the other securities. Therefore, Security B has the most systematic risk among the given options.

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Compare and contrast the advantages and disadvantages of the
three approaches that government can take to cope with the problem
of external costs.

Answers

External costs refer to the costs of economic activities that are not borne by the people or entities engaged in the activities. The most common forms of external costs include pollution, environmental degradation, and climate change. To cope with external costs, governments can adopt three approaches.

The command-and-control approach involves the government setting regulations that mandate firms to reduce their external costs. Under this approach, the government enacts laws that prescribe how much pollution or environmental degradation a firm can emit. The primary advantage of the command-and-control approach is that it guarantees immediate results. It provides a definite solution to the problem of external costs. However, it has its disadvantages. One of the disadvantages is that it is costly.

The market-based approach involves the use of economic incentives to encourage firms to reduce their external costs. This approach includes taxes, subsidies, cap-and-trade systems, and pollution credits. The primary advantage of the market-based approach is that it encourages innovation. Firms are encouraged to come up with new ways of reducing their external costs. Additionally, it is cost-effective. The firms that can reduce their external costs cheaply will do so, while those that cannot will pay a higher cost. However, the market-based approach has its disadvantages.

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Decide whether a person should itemize his deductions or take the standard deduction in the following case. A​ person's deductible expenditures are ​$8400 for interest on a home​mortgage, ​$2100 for contributions to​ charity, and ​$655 for state income taxes. His filing status entitles him to a standard deduction of ​$11,500.
A. He should itemize his deductions as it would deduct less money from his taxable income.
B.He should claim the standard deduction as it would deduct less money from his taxable income.
C. He should claim the standard deduction as it would deduct more money from his taxable income.
D. He should itemize his deductions as it would deduct more money from his taxable income.

Answers

In the given case, a person has deductible expenditures of $8400 for interest on a home mortgage, $2100 for contributions to charity, and $655 for state income taxes, and his filing status entitles him to a standard deduction of $11,500.

Therefore, he should claim the standard deduction as it would deduct more money from his taxable income. The correct option is C.How to determine whether a person should itemize deductions or claim the standard deduction?A taxpayer can choose to claim the standard deduction or itemize deductions on their tax returns.

This decision is influenced by a number of factors, including the amount of qualified expenses, the taxpayer's tax bracket, and the type of tax return filed. However, if the sum of a taxpayer's deductible expenses is more than the standard deduction, they should itemize their deductions instead of claiming the standard deduction.

Because the standard deduction is intended to reduce a taxpayer's taxable income without requiring them to itemize individual deductions, it is typically easier and faster to claim than to itemize.

To determine whether to itemize or take the standard deduction, an individual should compare the amount of their itemized deductions to the amount of the standard deduction.

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Consider a competitive firm with the total cost function TC = 600 + 3q ^ 2 What is the minimum price necessary for the firm to earn profit? Below what price will the firm shut down in the short run?

Answers

To earn a profit, the minimum price necessary for the firm is $600. Below this price, the firm will shut down in the short run.

In order for a firm to earn a profit, the revenue it generates from selling its products must exceed its total costs. In this case, the firm's total cost function is given as TC = 600 + 3[tex]q^{2}[/tex], where q represents the quantity of output produced.

To find the minimum price necessary for the firm to earn a profit, we need to determine the price at which the firm's revenue will cover its total costs. The revenue is calculated as the product of the price (p) and the quantity (q), which can be represented as p * q.

If the firm wants to earn a profit, its revenue should be greater than its total costs. Mathematically, we can express this as p * q > TC. Substituting the given total cost function TC = 600 + 3[tex]q^{2}[/tex], we have p * q > 600 + 3[tex]q^{2}[/tex].

Therefore, as per the given information to earn a profit, the minimum price necessary for the firm is $600. Below this price, the firm will shut down in the short run.

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You open a savings account and deposit $6,000 with an interest rate of 12%, compounded daily. You will make another deposit of $11,000 into your account two years from now. What will be the balance in your account 6 years from now? O $28,595.53 O $842.82 O $30,100.56 $28,896.54 O $27,471.10

Answers

The balance in the account six years from now would be $12,159.08. Compounding of interest on a savings account is a process in which the interest is paid not only on the principal amount but also on the interest accrued in the past.

The compound interest formula is used to calculate the interest that accrues over the time, and it is calculated by adding the principal amount to the interest earned on that amount. In the given problem, the principal amount is $6000, and the interest rate is 12%, compounded daily. The formula for compound interest is given as;

[tex]A = P (1 + r/n)^nt[/tex] Where,A = Final amount

P = Initial principal balance

r = Interest rate

n = Compounding frequency

t = Time elapsed The first deposit was made two years ago, and the second deposit will be made four years after the first deposit. Therefore, the time t = 6 years. The frequency of compounding is daily, which means that n = 365.Substituting the values in the formula, we get;

A = [tex]6000(1 + 0.12/365)^(365*6)A[/tex]

= [tex]6000(1.000329)^(2190)A[/tex]

= $12,159.08

Therefore, the balance in the account six years from now would be $12,159.08.

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Compare and contrast the predictions and economic insights of
the Aghion and Tirole model of formal and real authority and the
property-rights approach to the boundaries of the firm.

Answers

The Aghion and Tirole model of formal and real authority and the property-rights approach provide different perspectives on the boundaries of the firm and offer distinct predictions and economic insights.

The Aghion and Tirole model emphasizes the role of authority relationships within organizations. It suggests that the allocation of authority affects decision-making, incentives, and innovation within firms.

The model predicts that formal authority, such as hierarchical structures and top-down decision-making, can lead to slower adaptation and innovation due to information constraints and stifled employee initiative.

In contrast, real authority, characterized by decentralized decision-making and empowerment, promotes innovation and flexibility. The model suggests that firms should strike a balance between formal and real authority to optimize their performance.

On the other hand, the property-rights approach focuses on the allocation of property rights within the firm. It suggests that the choice of internalizing activities within the firm versus relying on external markets depends on transaction costs and the potential for value creation.

The property-rights approach predicts that firms will internalize activities when transaction costs are high, and when there are opportunities for value creation through coordination, synergies, or avoiding hold-up problems.

It also predicts that firms will rely on external markets when transaction costs are low and specific investments are not required.

While both approaches offer insights into the boundaries of the firm, they differ in their emphasis. The Aghion and Tirole model emphasizes the importance of authority relationships and decision-making structures within firms, highlighting the trade-offs between formal and real authority.

In contrast, the property-rights approach focuses on transaction costs and the potential for value creation through internalization or market exchange.

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Answer the following:
Patents awarded to pharmaceutical firms serve as barriers to entry. Why would the government create a barrier to entry for these companies?
After the patent held for a name brand pharmaceutical expires, competitors can produce identical generic drugs. Even after generics are introduced, name brand pharmaceuticals often remain significantly cheaper. Explain how a firm can continue to charge more for a name brand drug.

Answers

The government creates a barrier to entry for pharmaceutical firms because the production of medications and drugs is vital for the well-being of people, and it is an industry that demands extensive research and development (R&D).

Therefore, the government rewards companies for their R&D efforts by granting patents, which gives them exclusive rights to produce the drug for a certain period. It is because of the exclusive rights to produce drugs that pharmaceutical firms can charge high prices for their drugs. Additionally, the production of drugs involves substantial costs such as R&D, marketing, clinical trials, and regulatory approvals that need to be factored in when pricing the drugs. Thus, firms continue to charge more for a name brand drug because they have invested significant amounts in R&D, clinical trials, and regulatory approvals. Moreover, once the patent expires, they can continue to charge a higher price by using other methods such as product differentiation, branding, and aggressive marketing.

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Malaysia is taking steps to control rising food prices amid inflation, says minister Malaysia is facing inflation and the government is putting in place measures to control rising food prices, the country's domestic trade and consumer affairs minister told CNBC. Given the global trend, "we are going to be affected by inflation. Alexander Nanta Linggi, told CNBC "Squawk Box Asia" on Friday. To mitigate higher prices, the government has taken steps to stabilize prices on "what we consider as crucial food items" such as rice and meat, said the minister. "By way of subsidies and by woy of other assistance," the government has made sure that people "can buy food items and essentiais at the prices that they can afford," he added. Linggi said the pandemic has fueled the country s inflation problems. "We had Covid the last two years. like everyone else in the world - and that toohas disrupted food supply chans," said the minister, adding it led to disruptions in the production processing process. As a result, the cost of production, especially on chicken farmers, "increased tremendously, "he pointed out. Taken from CNBC, 28 th Januory 2022 1. Based on this article, state what had caused the food prices to go up. ( 2 marks) 2. Use a diagram to show how your answer in question 1 had caused the food prices to increase. (4 marks) 3. The government can use price control to stabilize food prices. Use a diagram to explain how it is done. (6 marks) 4. Suggest ONE more measure the government can implement to stabilize the prices of crucial food items. 3 marks)

Answers

ONE more measure the government can implement to stabilize the prices of crucial food items is to increase subsidies on other crucial food items such as vegetables and fruits.

According to the article, the pandemic has caused the food prices to go up in Malaysia. Covid has disrupted food supply chains and production processing processes, causing the cost of production, especially on chicken farmers, to increase tremendously.

Price control is a mechanism that the government can use to stabilize food prices. It is done by setting a maximum price that can be charged for a product.

This will help to reduce the prices of these items and make them more affordable for people.

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24) Assume that 15 years from today you will receive a one-time cash flow of $250,000. What is the present value of that cash flow? Assume that the interest rate is 9% compounded annually.
23) Calculate the Present Value (the value today) of the following cash flows:
Cash flow 1 year from today = $50
Cash flow 2 years from today = $60
Cash flow 3 years from today = $70
Cash flow 4 years from today = $200
Assume an interest rate (rate of return) of 10%, compounded annually.
a. $284.23
b. $484.23
c. $84.23
d. $180.00
e. 10%

Answers

In 23 the present value of the cash flow is $89,241.55. In 24 the present value of the cash flow is $284.23. Hence, option A is correct.

24) The present value of cash flow is $89,241.55

Given: Future value, FV = $250,000

Interest rate, r = 9%

Compounding period, t = 15 years

To Find: Present value, PV Formula: PV = FV / (1 + r) t

Calculation: PV = 250000 / (1 + 9/100)15

PV = $89,241.55

Therefore, the present value of the cash flow is $89,241.55.

23) The present value of cash flow is $284.23.

Given: Cash flow after 1 year, CF1 = $50

Cash flow after 2 years, CF2 = $60

Cash flow after 3 years, CF3 = $70

Cash flow after 4 years, CF4 = $200

Interest rate, r = 10%

Compounding period, t = 1, 2, 3, 4 years

To Find: Present value, PV Formula: PV = CF / (1 + r) t

Calculation: Present Value of cash flow after 1 year,

PV1 = 50 / (1 + 10/100)1PV1

= $45.45

Present Value of cash flow after 2 years,

PV2 = 60 / (1 + 10/100)2

PV2 = $49.59

Present Value of cash flow after 3 years,

PV3 = 70 / (1 + 10/100)3

PV3 = $51.68

Present Value of cash flow after 4 years,

PV4 = 200 / (1 + 10/100)4

PV4 = $137.52

Therefore, the present value of cash flow is

PV = PV1 + PV2 + PV3 + PV4

= $45.45 + $49.59 + $51.68 + $137.52

= $284.23

Therefore, the present value of the cash flow is $284.23. Hence, option A is correct.

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Given The Tax Rates As Shown, What Is The Average Tax Rate For A Firm With Taxable Income Of $311,360 ? 33.62 Percent 39.00 Percent 35.48 Percent 31.09 Percent 28.25 Percent

Answers

The average tax rate for a firm with taxable income of $311,360 is 35.48%.  The average tax rate represents the proportion of the total taxable income that is paid in taxes.

To calculate the average tax rate, we divide the total tax paid by the taxable income and express the result as a percentage.

The tax rates provided do not specify the income ranges to which they apply. Assuming a progressive tax system with multiple tax brackets, we need to determine the applicable tax rate for the given taxable income of $311,360.

Let's calculate the tax using the given tax rates:

Tax on $50,000 at 15% = $50,000 * 0.15

= $7,500

Tax on $25,000 at 25% = $25,000 * 0.25

= $6,250

Tax on $100,000 at 34% = $100,000 * 0.34

= $34,000

Tax on $136,360 at 39% = $136,360 * 0.39

= $53,170.40

Total tax paid = $7,500 + $6,250 + $34,000 + $53,170.40

= $100,920.40

Now we can calculate the average tax rate:

Average tax rate = (Total tax paid / Taxable income) * 100

Average tax rate = ($100,920.40 / $311,360) * 100 = 32.43%

Therefore, the average tax rate for a firm with taxable income of $311,360 is approximately 32.43%.

The average tax rate for a firm with a taxable income of $311,360 is approximately 32.43%. This calculation is based on the provided tax rates and involves determining the applicable tax rate for each income bracket, calculating the total tax paid, and expressing it as a percentage of the taxable income. The average tax rate represents the proportion of the total taxable income that is paid in taxes.

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6. A 10 -year, 7% coupon bond with a face value of $1,000 is currently selling for $871.65. Compute the percentage return, and logarithmic return, if you sell the bond next year for $880.10. 7. Calculate the duration of a $1,000,6% coupon bond with three years to maturity, Assume that all market interest rates are 7%

Answers

6. The percentage return of approximately 0.97% and the logarithmic return is approximately 0.0097 or 0.97%.

7. The duration of the bond is approximately 2.738 years.

6. To calculate the percentage return, we can use the formula:

Percentage Return = (Ending Value - Beginning Value) / Beginning Value * 100

Given:

Beginning Value = $871.65

Ending Value = $880.10

Percentage Return = ($880.10 - $871.65) / $871.65 * 100 ≈ 0.97%

To calculate the logarithmic return, we can use the formula:

Logarithmic Return = ln(Ending Value / Beginning Value)

Logarithmic Return = ln($880.10 / $871.65) ≈ 0.0097 or 0.97%

The percentage return represents the simple percentage change in the investment's value from the beginning to the end. In this case, the bond's value increased from $871.65 to $880.10, resulting in a percentage return of approximately 0.97%.

The logarithmic return, also known as the continuously compounded return, calculates the natural logarithm of the ratio of the ending value to the beginning value. In this case, the logarithmic return is approximately 0.0097 or 0.97%.

7. To calculate the duration of a bond, we can use the formula:

Duration = (1 / Bond Price) * ∑ [t * (Coupon Payment / ([tex]1 + Market Interest Rate)^{t}[/tex])]

Given:

Bond Price = $1,000

Coupon Payment = 6% of $1,000 = $60

Market Interest Rate = 7%

Years to Maturity = 3

Using the formula, we can calculate the duration:

Duration = (1 / $1,000) * [(1 * $60 / [tex](1 + 0.07)^{1}[/tex]) + (2 * $60 / [tex](1 + 0.07)^{2}[/tex]) + (3 * $60 / [tex](1 + 0.07)^{3}[/tex])]

Simplifying the calculation:

Duration = (1 / $1,000) * [$60 / 1.07 + $60 / [tex]1.07^{2}[/tex] + $60 / [tex]1.07^{3}[/tex]]

Duration ≈ 2.738 years

The duration of the bond is approximately 2.738 years. Duration is a measure of the weighted average time it takes to receive the bond's cash flows, considering both the timing and amount of each cash flow. In this case, the bond has a 6% coupon payment, a 7% market interest rate, and a 3-year maturity. By calculating the duration, we can assess the bond's sensitivity to changes in interest rates and better understand its price volatility.

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There are 10 identical internet service providers (ISPs) in a city serving a market demand with an elasticity of -1.5. The elasticity of supply for each firm is 2.2. The elasticity of demand faced by an individual ISP provider is Your Answer

Answers

The elasticity of demand faced by an individual ISP provider can be calculated using the formula:

Elasticity of Demand = Elasticity of Supply / Number of Firms

In this case, the elasticity of supply for each firm is given as 2.2, and there are 10 identical ISPs in the market.

Elasticity of Demand = 2.2 / 10

Elasticity of Demand = 0.22

Therefore, the elasticity of demand faced by an individual ISP provider is 0.22.

The number of a country’s unemployment workers decreased from 5.3 million to 3.9 million last year. If the country’s population remained constant at 75 million, how did its unemployment rate change last year?

Answers

The country's unemployment rate decreased by 1.87% last year.

To determine how the country's unemployment rate changed last year, we need to calculate the unemployment rate before and after the decrease in the number of unemployed workers.The unemployment rate is calculated by dividing the number of unemployed workers by the total labor force (unemployed + employed workers) and multiplying the result by 100 to express it as a percentage.Before the decrease, the number of unemployed workers was 5.3 million. Assuming the labor force remains constant, the total labor force would be the sum of the unemployed and employed workers, which is 5.3 million + (75 million - 5.3 million) = 75 million.Therefore, the initial unemployment rate was (5.3 million / 75 million) * 100 = 7.07%.After the decrease, the number of unemployed workers became 3.9 million. The total labor force remains constant at 75 million.Therefore, the new unemployment rate is (3.9 million / 75 million) * 100 = 5.2%.The change in the unemployment rate can be calculated by subtracting the new rate from the initial rate: [tex]7.07% - 5.2% = 1.87%[/tex].Hence, the country's unemployment rate decreased by 1.87% last year.

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Describe the effects of business networking on a business (10
marks)

Answers

Business networking has a significant impact on a business, as it facilitates the establishment and maintenance of valuable relationships with other professionals and organizations.

By actively engaging in business networking, companies can expand their reach and create a strong presence within their industry. Networking events, conferences, and online platforms provide opportunities for businesses to connect with potential clients, suppliers, partners, and industry leaders.

Through these interactions, businesses can exchange knowledge, share insights, and foster collaborations that can result in new business ventures, joint projects, and strategic partnerships.

Moreover, business networking enables access to a wide range of resources and expertise. By connecting with professionals from different backgrounds and industries, businesses can tap into a diverse pool of knowledge, skills, and experiences.

This can be particularly valuable when seeking advice, guidance, or solutions to specific challenges or opportunities. Networking also provides access to industry trends, market insights, and emerging technologies, which can help businesses stay competitive and innovative.

Furthermore, business networking enhances brand visibility and reputation. By actively participating in industry-related events and engaging in conversations with peers, businesses can raise awareness about their products or services.

Positive word-of-mouth recommendations and referrals from trusted contacts can significantly contribute to brand recognition and credibility.

Overall, business networking has the potential to create numerous opportunities for growth, collaboration, and success. By building and nurturing relationships, businesses can leverage the power of networks to gain a competitive edge, access valuable resources, and enhance their overall business performance.

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If U.S. inflation is 6% and U.K. inflation is 4%, what should be the approximate nominal change in the value of the dollar over this time, according to relative PPP? (indicate appreciation or depreciation)

Answers

The dollar would depreciate by approximately 2% in this scenario, which means that it would buy fewer British pounds than before.

According to Relative Purchasing Power Parity (PPP), the approximation for the nominal change in the value of the dollar over the time when U.S. inflation is 6% and U.K. inflation is 4% can be determined by calculating the difference between their inflation rates. This difference, which is 2%, is the expected change in the exchange rate that would offset the inflation differential between the two countries. It is assumed that the exchange rate will adjust so that the purchasing power of one currency is the same in each country. The change in the exchange rate can be determined using the formula:

(1 + U.S. inflation) / (1 + U.K. inflation) = (1 + change in exchange rate)

Applying this formula to the given values, we get:

(1 + 6%) / (1 + 4%) = (1 + change in exchange rate)

1.06 / 1.04 = 1.0192

≈ 1.02

The change in the exchange rate is approximately 2%. Since the U.S. inflation rate is higher than the U.K. inflation rate, the expected nominal change in the value of the dollar according to relative PPP is depreciation.

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Declan Ross wants to sell his business. The firm has no debt and earns a 7% return (ROE) on equity of $160,000. The company can borrow at an after-tax rate of 5%. A consultant has advised that the business will be worth more if its financial statements show a higher return on equity (ROE = net income/equity). Unfortunately, an increase in profitability isn't feasible. The consultant also says that leverage can sometimes be used to improve ROE and that since the firm earns a higher return (7%) than the after-tax loan rate (5%), borrowing money to reduce equity will increase ROE. How much will Declan have to borrow to raise his firm's ROE to 11%? (Hint: First calculate net income using the definition of ROE. Then assume Declan borrows $30,000, reducing equity by the same amount. Recalculate net income and ROE. Repeat with different debt amounts until ROE is close to 11%.) Round the answer to the nearest thousand dollars.

Answers

Given Equity = $160,000ROE = 7%After-tax loan rate = 5%ROE required = 11%We have to calculate the amount that Declan Ross has to borrow to raise his firm's ROE to 11%.Let's begin Let us first find the net income using the formula of ROE.ROE = Net Income / Equity Rearranging the above equation, Net Income = Equity * ROENet Income = $160,000 * 7%Net Income = $11,200Now.

we have to assume that Declan borrows $30,000, reducing equity by the same amount. So, the new equity would be:$160,000 - $30,000 = $130,000The amount borrowed will be $30,000.Now, we have to recalculate the net income and ROE.ROE = Net Income / EquityNew ROE = 11%Now, we have to find the new net income.Net Income = Equity * ROENet Income = $130,000 * 11%Net Income = $14,300Now, let's recalculate the ROE after borrowing $30,000.New ROE = Net Income/EquityNew ROE = $14,300/$130,000New ROE = 11%We can observe that the ROE is 11%, which is the required ROE.

Therefore, Declan Ross has to borrow $30,000 to raise his firm's ROE to 11%.Hence, the required amount is $30,000.

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Inflation has really been in the news so far for 2022 and after reading a few articles, you have come up with the following information: there is a 60% chance that we will have a high level of inflation for 2022 of 16%; a 30% chance that we will have a moderate rate of inflation for 2022 of 10% and a 10% chance that we will have a low level of inflation for 2022 of 4%
Based on the above projections, what is the expected rate of inflation for all of 2022? (Set up a chart)

Answers

The expected rate of inflation for all of 2022 is calculated by the weighted average of the individual rates of inflation. The probability of occurrence of each inflation rate has to be multiplied by its corresponding inflation rate. The sum of these products is divided by the total probability of occurrence of all the events.

Given data,

High level of inflation for 2022 = 16%,

Probability of high-level inflation = 60%

Moderate rate of inflation for 2022 = 10%,

Probability of moderate-level inflation = 30%

Low level of inflation for 2022 = 4%,

Probability of low-level inflation = 10%

The expected rate of inflation for all of 2022 is calculated by the weighted average of the individual rates of inflation. The formula is;

Expected rate of inflation for all of 2022 = (probability of high-level inflation x rate of high-level inflation) + (probability of moderate level inflation x rate of moderate level inflation) + (probability of low-level inflation x rate of low-level inflation)Given that;

Probability of high-level inflation = 60%

Rate of high-level inflation = 16%

Probability of moderate-level inflation = 30%

Rate of moderate level inflation = 10%

Probability of low-level inflation = 10%

Rate of low-level inflation = 4%

Therefore,

Expected rate of inflation for all of 2022 = (60% x 16%) + (30% x 10%) + (10% x 4%)= 9.6% + 3% + 0.4%= 12%.

Hence, the expected rate of inflation for all of 2022 is 12%.

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Calculate the yield to maturity for the following bonds to 2 decimal places.
a) 9-year Canada 7.4% semi-annual, priced at 101.99
Mode=
N=
P/Y =
C/Y=
I/Y=
PMT=
FV=
PV =
b) 22-year Canadian Tire 5.4% annual, priced at 96.75
Mode=
N=
P/Y =
C/Y=
I/Y=
PMT=
FV=
PV =

Answers

a) Yield to maturity for the 9-year Canada 7.4% semi-annual bond is approximately 3.54%. b) Yield to maturity for the 22-year Canadian Tire 5.4% annual bond is approximately 5.71%.

a) To calculate the yield to maturity (YTM) for the 9-year Canada 7.4% semi-annual bond priced at 101.99, the input values are as follows:

Mode = 0 (End)

N = 18 (9 years * 2 semi-annual periods per year)

P/Y = 2 (Semi-annual)

C/Y = 2 (Semi-annual)

I/Y = ? (YTM, to be calculated)

PMT = 3.70 (7.4% annual coupon rate divided by 2, as it is semi-annual)

FV = 100 (face value of the bond)

PV = -101.99 (negative because it is the initial cost)

Using these inputs in a financial calculator or spreadsheet, solving for I/Y yields a result of approximately 3.54%. Therefore, the yield to maturity for this bond is 3.54%.

The yield to maturity is the annualized return an investor would receive if they hold the bond until maturity. It takes into account the bond's current price, coupon payments, and time to maturity.

In this case, the bond has a semi-annual coupon payment of 7.4%, a price of 101.99, and a maturity of 9 years. By solving for the yield to maturity, we find that it is approximately 3.54%, representing the annualized return for this bond.

b) To calculate the yield to maturity (YTM) for the 22-year Canadian Tire 5.4% annual bond priced at 96.75, the input values are as follows:

Mode = 0 (End)

N = 22 (22 years)

P/Y = 1 (Annual)

C/Y = 1 (Annual)

I/Y = ? (YTM, to be calculated)

PMT = 5.40 (5.4% annual coupon rate)

FV = 100 (face value of the bond)

PV = -96.75 (negative because it is the initial cost)

Using these inputs, solving for I/Y yields a result of approximately 5.71%. Therefore, the yield to maturity for this bond is 5.71%.

The yield to maturity represents the annualized return an investor would earn if they hold the bond until maturity.

For the given bond, it has an annual coupon payment of 5.4%, a price of 96.75, and a maturity of 22 years. By solving for the yield to maturity, we find that it is approximately 5.71%, which indicates the expected annualized return for this particular bond.

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