Frank purchased his house 16 years ago by taking out a 25-year mortgage for $150,000. The mortgage has a fixed interest rate of 5 percent compounded monthly. If he wants to pay off his mortgage today, how much money does he need? He made his most recent mortgage payment earlier today. (Round your intermediate calculation and your answer to two decimal places.)

Answers

Answer 1

Answer:

The answer is $76,312.05

Explanation:

We have monthly interest rate which is discount rate is: 5% / 12 = 0.42%;

The mortgage will have 25 x 12 = 300 payments;

The monthly payment is calculated by applying present value for annuity as below:

(150,000 x 0.42%) / [ 1 - (1+0.42%)^(-300)] = $880.38

As at the time of fully pay-off, there are (25-16) * 12 = 108 payments left.

The amount needs to fully pay-off this loan is equal to the present value of 108 payments left which is calculated as below:

(880.38/0.42%) * (  [ 1 - (1+0.42%)^(-108)] = $76,312.05.

So, the answer is $76,312.05.


Related Questions

Ford Motor Co. asks members of its target market to rate its cars and those of General Motors and Chrysler on a 7-point scale in terms of two dimensions (comfortable seats and engine power) so that it can establish a quadrant-grid map of these ratings. What type of analysis is Ford conducting?
A) Positioning
B) Combining
C) Qualifying
D) Dimensional
E) Insight management

Answers

Answer:

A) Positioning

Explanation:

Positioning is the process that outlines how a business intends to market it's products to consumers. An image is created by the marketing team based on market that is being targeted.

This image is created by using promotion, price, place, and product.

Ford is asking it's target market to rate it's cars so that it can establish a quadrant-grid map of these ratings, is a way to improve its positioning

Answer:

The correct answer is letter "A": Positioning.

Explanation:

The positioning analysis involves collecting data from the region where the company is targeting to start businesses. This study will give the firm an idea of what customers are looking for, thus, the organization will be better assessed on what type of products should be offered.

What is a stock that reinvests its earnings in the business instead of paying regular dividends called?

Answers

Answer:

growth stock.

Explanation:

Growth stock is the title through which the company usually reinvests the profits that guarantee growth and this is manifested in the prices that are publicly traded.

Growth stocks are shares of companies that are growing and are usually from innovative or expanding sectors that, against the value actions, distribute very few dividends or none. By not distributing benefits does not decrease its equity value and, therefore, the behavior of the action if the company generates benefits is that its value must grow. Hence, its denomination. Naturally, these companies are less mature and stable and, in many cases, part of the value granted to them is in the perspectives that exist to generate benefits in the future but that have not yet been realized. Companies of new technologies, biotechnology or research and development of innovative projects are the most characteristic examples of this type of actions.

Given the following demand​ equation: Q​ = 100 minus− 5p Calculate the price that corresponds with a price elasticity value of negative 1.00−1.00. p​ = nothing ​(enter your response rounded to two decimal places​).

Answers

Answer:

P = 10

Explanation:

Given that,

price elasticity of demand(Negative) = -1

Demand​ equation: Q​ = 100 - 5p

Differentiating Q w.r.t p,

[tex]\frac{dQ}{dp}=-5[/tex]

Price elasticity of demand = [tex]\frac{dQ}{dP}\times \frac{P}{Q}[/tex]

-1 = (-5) × [P ÷ (100 - 5p)]

-1(100 - 5P) = -5P

-100 + 5P = -5P

10P = 100

P = 10

Therefore, the price of $10 that corresponds with a price elasticity value of negative 1.00.

Final answer:

The price that corresponds with a price elasticity value of -1.00, given the demand equation Q = 100 - 5p, is 20.00. This is computed using the price elasticity of demand equation for a linear demand curve, Ed = p/Q, given Ed as -1.00.

Explanation:

The given demand equation is Q = 100 - 5p. The price elasticity of demand is given as -1.00. The formula for the price elasticity of demand is Ed = (% change in quantity demanded) / (% change in price). But here, the equation is linear, so a simplified form of the formula for the price elasticity of demand equation for a linear demand curve is Ed = (p/Q)

Thus, inserting the given value of -1.00 for Ed and rearranging, we get p = Q. Given that the demand equation is Q = 100 - 5p, we can substitute Q with p into the given equation. This leads to p = 100 - 5p. By solving this equation for p, we find that p = 20.00

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Suppose five workers died because of exposure to a toxic chemical. Calculate the YPLL for these five workers, given their ages at death were 20, 25, 30, 35, and 40. Use age 65 years as the endpoint.

Answers

Answer:

175 years

Explanation:

YPLL is years of potential life lost. Represents number of years a person would have lived if they didn't die early.

To calculate the YPLL use the following formula

YPLL= Σ(age at endpoint - age of death)

YPLL= (65-20)+(65-25)+(65-30)+(65-35)+(65-40)

YPLL= 45+ 40+ 35+ 30+ 25

YPLL= 175 years

Final answer:

To calculate the YPLL, we subtract each worker's age at death from the endpoint age of 65 and sum the results, giving a total YPLL of 175 years for all five workers.

Explanation:

The concept being discussed is the Years of Potential Life Lost (YPLL), which is a measure of premature mortality. To calculate the YPLL for the five workers who died at ages 20, 25, 30, 35, and 40, with the endpoint age set to 65, we subtract each individual's age at death from the endpoint age.

For the worker who died at age 20: 65 - 20 = 45 YPLL

For the worker who died at age 25: 65 - 25 = 40 YPLL

For the worker who died at age 30: 65 - 30 = 35 YPLL

For the worker who died at age 35: 65 - 35 = 30 YPLL

For the worker who died at age 40: 65 - 40 = 25 YPLL

Adding these together gives us the total YPLL for all five workers:

Total YPLL = 45 + 40 + 35 + 30 + 25 = 175 Years.

This is a significant measure as it provides more weight to deaths occurring at younger ages and is an important health statistic used to prioritize public health issues.

A law was recently passed in the city of Birmingdon that specifies a long list of restrictions on disposing of different kinds of waste material. The law is long, meticulous, and complicated, and many citizens do not understand all the points of the law or the purpose it is meant to fulfill. Citizens are commonly caught breaking the ordinance. Which law or principle of law which is most relevant to this situation?

a. Procedural Due Process
b. Substantive Due Process
c. First Amendment
d. Equal Protection Laws

Answers

Answer:

Substantive Due Process

Explanation:

Substantive Due Process - it is referred to as the authority of courts to defend the rights from the interference of government. it is also applicable even when these rights are not written anywhere in the constitution of the United States.

it is different from the procedural due process whose main focus is to convict the defendant for any rules breaking while Substantive Due Process is work for protecting fundamental right from Government interference.

Adjusting items:
1. A physical inventory shows supplies on hand of $3,000 at year end. 2. The prepaid rent covers December 2016 thru March 2017 rents. 3. December depreciation on equipment is $11,000 per month. 4. At year end Wages of $10,000 were earned but unpaid.Use this information to prepare the general Journal entry

Answers

This is an uncompleted question. Here, is a completed question

The following is the Bravo Unlimited unadjusted Trial Balance. Bravo Unlimited Unadjusted Trial Balance December 31, 2016 Account Title Debit Credit $88,450 Cash Accounts Receivable 231,860 Supplies 6,255 Prepaid Rent 11,000 Equipment 395,285 Accumulated Depreciation $224,260 Accounts Payable 72,555 Wages Payable 0 220,000 Capital Stock Retained Earnings 111,145

Service Revenue 893,105 Interest Income 1,500 Rent Expense 60,500 Wages Expense 527,260 Supplies Expense 42,520 Utilities Expense 8,595 Depreciation Expense 144,000 Interest Expense 6,840 $1,522,565 $1,522,565 Totals Adjusting Items: 1. A physical inventory shows supplies on hand of $3,000 at year end. 2. The prepaid rent covers December 2016 thru March 2017 rents. 3. December depreciation on equipment is $11,000 per month 4. At year end Wages of $10,000 were earned but unpaid. Use this information to prepare the General Journal entry (without explanation) for the required end of the month adjustment.

Explanation:

The adjusting entries are shown below:

1. Supplies expense A/c Dr $3,255

               To supplies A/c $3,255

The supplies expense is computed by

= Supplies balance - supplies on hand

= $6,255 - $3,000

= $3,255

2. Rent expense A/c Dr $2,750    ($11,000 ÷ 4 months)

             To Prepaid rent A/c $2,750

3. Depreciation Expense A/c Dr $11,000

                   To Accumulated Depreciation - Equipment A/c $11,000

4. Wages Expense A/c Dr $10,000

                 To Wages payable A/c $10,000

One way to interpret the change in Blue Hamster's accounts receivable balance from Year 1 to Year 2 is that more customers purchased new items on credit rather than paying off existing credit accounts. This statement is , because: _______.

Answers

Answer:

The balance of account receivable for year 2 is increase from the balance of year 1.

Explanation:

The balance of account receivable for year 2 is increase from the balance of year 1. This means the thee are more credit sales and less receipts from the customers in year 2 as compared to Year 1. Credit sales increases the account receivable balance but it should be settlement in the form of receipts from the customers.  

In Step 1 of developing an EFE​ Matrix, how many opportunities and threats should be included in the full and narrow​ lists, respectively? A. ​200, 20 B. ​100, 20 C. ​50, 10 D. ​200, 10 E. ​100, 10

Answers

Answer:

Option B. ​100, 20

Explanation:

The full list should not be more than 100 because we would not like to have any opportunity/threat having less than 1% contribution so The sum of percentages should be 100.

At least 20 opportunities and threats should be there in the narrow list.

The future value of $200,000 invested at a 7% annual rate, compounded quarterly for 3 years is _____. (Do not round your intermediate calculations. Round the final answer to the nearest two decimal places.) $246,287.86

Answers

Answer:

FV  =  246,287.86

Explanation:

The Future value (FV) of an investment is the total amount (principal plus interest) that will accumulate in the future  where interest is paid and compounded at a particular rate per period for a certain number of periods.

In a simple language, it is the worth, in the future, of an investment made today, where interest is paid periodically over the investment period. Of course, you should expect this value to be greater than the amount investment.

The Future Value (FV) of an investment is ascertained using the formula below:

FV = PV × (1+r/m)^(n×m)

FV - Future Value, r -interest rate per period, n- number of periods, PV -present value- amount invested., m- is the number of compounding period.

So, we can apply this to the formula:

The number of compounding period ( "m" ) in this question is  four (4 ) because  we have four quarters in a year

FV = 200000× (1+0.07/4)^(3×4)

    =   200,000 × 1.2314393

  FV   =  246,287.86

Dake Corporation's relevant range of activity is 3,200 units to 8,000 units. When it produces and sells 5,600 units, its average costs per unit are as follows: If 4,600 units are produced, the total amount of indirect manufacturing cost incurred is closest to:

Answers

Final answer:

To estimate the total indirect manufacturing cost when 4,600 units are produced by Dake Corporation, we can use the average cost per unit and assume a linear relationship between units produced and total cost.

Explanation:

The relevant range of activity for Dake Corporation is from 3,200 units to 8,000 units. When it produces and sells 5,600 units, we can calculate the average cost per unit by dividing the total costs incurred by the number of units produced. To find the total amount of indirect manufacturing cost incurred when 4,600 units are produced, we can use the average cost per unit to estimate the total cost.

Given that the relevant range is from 3,200 units to 8,000 units, we can assume a linear relationship between the number of units produced and the total cost. Therefore, we can calculate the average cost per unit using the given information:

Calculate the slope (cost per unit) using the formula: [(average cost per unit at the highest level - average cost per unit at the lowest level) / (highest level - lowest level)].Use the slope to estimate the total indirect manufacturing cost when 4,600 units are produced by multiplying the slope by 4,600 units.

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Final answer:

The student is asking about the total indirect manufacturing cost for producing a certain number of units within the context of economies of scale. More information on costs at various production levels is needed to provide an accurate answer, which is not available in the details provided by the student.

Explanation:

The student's question pertains to the concept of economies of scale in a production setting. Economies of scale occur when increasing production leads to a lower average cost per unit. This is because fixed costs are spread over a higher quantity of units, and operational efficiencies often increase with higher levels of production. However, this student is asking for the total indirect manufacturing cost at a production level of 4,600 units, based on given data for a company with a relevant activity range.

Unfortunately, to accurately answer this question, more specific information is required, such as the average costs at different levels of production or the fixed and variable components of the total costs, none of which is provided in the student's question. Without these details, we cannot compute the total indirect manufacturing cost for the Dake Corporation at the production level of 4,600 units.

If the value of an investment is $1500 in 12 years and the interest rate is 6%, how much is the investment worth now?

Answers

Answer:

$745.45

Explanation:

The expression that describes the future value of an investment (P) at an annual rate (r) for a period of n years, compounded annually is:

 [tex]FV = P*(1+r)^n[/tex]

If the future value of an investment is $1,500 after 12 years at a rate of 6%, the present value (P) is:

[tex]1500 = P*(1+0.06)^{12}\\P=\$745.45[/tex]

The investment is worth $745.45 today.

Holly's Ham, Inc. sells hams during the major holiday seasons. During the current year 11,000 hams were sold resulting in $220,000 of sales revenue, $55,000 of variable costs, and $24,000 of fixed cost. How many units must be sold to make $63,000?

a. 5,800
b. 17,400
c. 4,320
d. 3,600

Answers

I’m not sure but I think it’s A
sorry if it’s wrong

Stanley Company uses a job cost system. Manufacturing overhead has been overallocated by $ 6 comma 600 for the year. Actual overhead incurred was $ 105 comma 000. Other balances​ are: Raw materials inventory at end of year $ 15 comma 000 Work in process inventory at end of year $ 32 comma 000 Finished goods inventory at end of year $ 42 comma 400 Unadjusted cost of goods sold for the year $ 290 comma 400 What will adjusted cost of goods sold be after closing manufacturing​ overhead?

Answers

Answer:

Adjusted Cost of Goods sold = $283,800

Explanation:

The question is to determine the adjusted cost of goods after closing manufacturing overhead.

First step is that the Manufacturing overhead of Stanley Company has been over-applied by $6,600.

The implication or meaning is that the overhead attributed to the job undertaken was more than the actual overhead that was incurred.

Over-applied manufacturing expense would usually overstate the cost of goods sold. Therefore

Adjusted Cost of Goods sold = Unadjusted cost of goods sold - Over-applied amount of overhead

= $290,400 - $6,600

= $283,800

In 2008, Upper Crust had cash flows from investing activities of −$270,000 and cash flows from financing activities of −$163,000. The balance in the firm's cash account was $86,000 at the beginning of 2008 and $118,000 at the end of the year. What was Upper Crust's cash flow from operations for 2008?
A- $118,000
B- $465,000
C- $32,000
D- $433,000

Answers

Answer:

Cash flows from operating activities = $465,000

so correct option is B- $465,000

Explanation:

given data

investing activities = - $270,000

cash flows = - $163,000

cash account at the beginning = $86,000

cash account at the end of year = $118,000

solution

we get here Cash flows from operating activities that is express as

Cash flows from operating activities = closing cash balance - (cash flows from financing activities + cash flows from investing activities + beginning cash balance)    .....................1

put here value and we get

Cash flows from operating activities = $118,000 - (-$163,000 - $270,000 + $86,000)  

Cash flows from operating activities = $465,000

The following statements are true. Explain why. a. If a bond’s coupon rate is higher than its yield to maturity, then the bond will sell for more than face value. b. If a bond’s coupon rate is lower than its yield to maturity, then the bond’s price will increase over its remaining maturity.

Answers

Answer:

A Bond's current market value represented by [tex]B_{0}[/tex] is the present value of a bond as on today. Present value of a bond is it's future cash flows in the form of coupon payments and principal repayment discounted at investor's expectation in the market also referred to as Yield to maturity(YTM).

Present value of a bond is given by the following equation,

[tex]B_{0} = \frac{C}{(1\ +\ YTM)^{1} } +\ \frac{C}{(1\ +\ YTM)^{2} } \ +\ ......+\ \frac{C}{(1\ +\ YTM)^{n} } \ +\ \frac{RV}{(1\ +\ YTM)^{n} }[/tex]

where C= Annual coupon payments

YTM = Yield to maturity/ cost of debt/ market rate of return on similarly priced bonds

RV = Redemption value of bond

n = number of years to maturity

a. A bond's coupon rate is higher than it's yield to maturity, then the bond will sell for more than face value.

Hence, if the company pays more interest than what is paid in the market on similarly priced bonds, such bonds shall sell at more than their face value.

b. If a bond's coupon rate is lower than it's yield to maturity, then the bond's price will increase over it's remaining maturity.

Similarly, if a bond pays lower rate of interest than the market rate of interest on similarly priced bonds, the bond shall sell at lower than it's face value and the price will increase over the remaining life of such bonds.

         

Ajax, Inc., issued callable bonds with a par value of $1,000,000 that require the payment of a call premium of $10,000. The bonds have a carrying value of $990,000. We call these bonds prior to maturity on September 30. Complete the necessary journal entry by selecting the account names from the drop-down menus and entering the dollar amounts in the debit or credit columns.

Answers

Answer:

The journal entry is as follows:

On September 30,

Bonds payable A/c Dr. $1,000,000

Loss on bonds retirement A/c Dr. $20,000

              To Discount on bond                        $10,000

              To cash A/c                                       $1,010,000

(To record the bonds payable and retirement)

Workings:

Loss on bonds retirement:

= (Cash + Discount on bonds) - Par value of callable bonds

= ($1,010,000 + $10,000) - $1,000,000

= $1,020,000 - $1,000,000

= $20,000

The quantity supplied of coffee beans decreases when: a. Average annual rainfall decreases due to a drought in Central and South America b. The price of coffee beans falls c. The price of tea rises. d. A labor union for coffee bean pickers forms and wages rise

Answers

Answer:

b. The price of coffee beans falls 

Explanation:

Only a decrease in price of coffee beans would lead to a fall in the quantity supplied of coffee beans.

This is in line with the law of supply which says: The higher the price, the higher the quantity supplied and the lower the price, the lower the quantity supplied.

The other factors listed in the options would lead to a fall in supply and not quantity supplied.

I hope my answer helps you

Depreciation by Two Methods; Sale of Fixed Asset New lithographic equipment, acquired at a cost of $562,500 on March 1 of Year 1 (beginning of the fiscal year), has an estimated useful life of five years and an estimated residual value of $48,400. The manager requested information regarding the effect of alternative methods on the amount of depreciation expense each year. On March 4 of Year 5, the equipment was sold for $82,400. Required: 1. Determine the annual depreciation expense for each of the estimated five years of use, the accumulated depreciation at the end of each year, and the book value of the equipment at the end of each year by the following methods: a. Straight-line method

Answers

Answer:

Annual depreciation expense =(Cost-Residual value)/Useful live

Cost=$562500

Residual value=$48400

Useful live=5years

As as a result annual depreciation=$102820

The figures for accumulated depreciation for relevant years can be found in the attached excel file.

Explanation:

The book value of the asset after useful years was $48400,its residual value.

The gain on disposal van be computed thus:

Proceeds-Residual value

$82400-$48400=$34000

Step - (1) - Information Given -      

     

Equipment cost = $562500.      

     

Estimated useful life = 5 years.      

     

Estimated residual value = $48400.      

     

.      

     

Step - (2) - Calculation of Annual depreciation expense, Accumulated depreciation and the Book value of the Equipment at the end of each year -      

     

Straight-line depreciation = (Cost of Equipment - Residual value) / Estimated useful life      

     

= ($562500 - $48400) / 5 years      

     

= $102820      

Fielder Company obtained by issuing 2,000 shares of its $10 par value common stock. The land was recently appraised at $85,000. The Common Stock is actively traded at $40 per share. Prepare the journal entry to record the acquisition of land.

Answers

Final answer:

When Fielder Company acquires land by issuing 2,000 shares of its $10 par value common stock, the journal entry would show a debit to the Land account and a credit to the Common Stock account, both for $20,000. The appraisal value of the land and the traded market price of the common stock are ignored.

Explanation:

The subject at hand pertains to accounting, more specifically the process of journalizing the acquisition of an asset (in this case, land) by issuing common stock. The Company, Fielder, is buying the land by issuing 2,000 shares of its $10 par value common stock. Here, we disregard the recent appraisal value of the land and the common stock's traded market price in favor of the par value of the common stock, as per the 'par value method' used in accounting for such transactions.

The journal entry for this transaction would be:

Debit: Land (Asset) 20,000 (2,000 shares * $10) Credit: Common Stock (Equity) 20,000

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If Whole Foods Market leaders were to engage in a SWOT analysis, they might study which of the following factors as part of the organization's external environment? a. Demographic and population changes within society b. The organizational culture c. Leadership strength and strong succession plans d. The talent pipeline

Answers

Answer:

The answer is a. Demographic and population changes within society

Explanation:

Barb is trying to take control of her time by using an online time tracking system that tracks her time spent on tasks and projects. She heard that if you do something for seven weeks it becomes a habit. The activity in our brain that decides whether a behavior should be repeated and stored is ______.

Answers

Answer:

Habit Loop

Explanation:

Habit Loop -

It is a type of loop , which runs in the brain of the human being , and functions to govern the habit , is referred to as habit loop .

The habit loop has three components , i.e. , reward , routine , and cue  .

The proper knowledge of these components enables the person to have command of their habits and can easily remove the bad habits and inculcate the good ones .

Hence , from the given scenario of the question,

The correct term is habit loop .

The rate of return available on the next best investment alternative for the saver refers to the discount cost of funds. True False

Answers

Answer:

True because cost of funds to company are the required return of the investors so saying that the rate of return used for investment appraisal is discount rate(discount cost of funds) derived from the Dividend valuation Model, Gordon Growth Model, Capital Asset pricing model or credit spread. These are the ways to compute the required return of investors.

A company has a $36 million portfolio with a beta of 1.2. The futures price for a contract on the S&P index is 900. Futures contracts on $250 times the index can be traded. What trade is necessary to achieve the following. (Indicate the number of contracts that should be traded and whether the position is long or short.)

a. Eliminate all systematic risk in the portfolio
b. Reduce the beta to 0.9
c. Increase beta to 1.8

Answers

Answer:

Explanation:

A:

Number of contracts required:

= (0-1.2)×36,000,000÷(900×$250)

= -192

Since negative value, short 192 contracts.

B:

= (0.9 - 1.2)×36,000,000÷(900×$250)

= -48

Since negative value, short 48 contracts.

C:

= (1.8 - 1.2)×36,000,000÷(900×$250)

= 96

Since positive value, long 48 contracts.

Final answer:

The number of futures contracts and whether to go long or short depends on the desired change in beta. To eliminate beta, short 144 contracts. To reduce beta to 0.9, short 72 contracts. To increase beta to 1.8, go long on 144 contracts.

Explanation:

The company's current beta indicates the amount of systematic risk present in its portfolio. The changes to the beta will determine the number of contracts needed, and whether to go long or short.

To eliminate the systematic risk (bring beta to 0), the company would need to short 144 contracts ($36 million x 1.2 ÷ $250,000). To reduce the beta to 0.9, the company should short 72 contracts ($36 million x (1.2-0.9) ÷ $250,000). To increase beta to 1.8, the company would need to go long on 144 contracts ($36 million x (1.8-1.2) ÷ $250,000).

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If Mary decides to invest 10 percent of her money in Firm​ A's common stock and 90 percent in Firm​ B's common​ stock, what is the expected rate of return and the standard deviation of the portfolio​ return? b. If Mary decides to invest 90 percent of her money in Firm​ A's common stock and 10 percent in Firm​ B's common​ stock, what is the expected rate of return and the standard deviation of the portfolio​ return? c. Recompute your responses to both questions a and b​, where the correlation between the two​ firms' stock returns is negative 0.50. d. Summarize what your analysis tells you about portfolio risk when combining risky assets in a portfolio.

Answers

Answer:

Part a: The return of portfolio is 10.5% and standard deviation is 5.089%.

Part b: The return of portfolio is 14.5% and standard deviation is 11.12%.

Part c: The return of portfolio is 10.5% and standard deviation is 4.911% for case a while the return of portfolio is 14.5% and standard deviation is 10.51% for case b.

Part d:  By changing the investment from firm A to firm B, the return is increased however the risk is also increased.

Explanation:

As the complete data is not available in the question, thus by referring the question found by google matching the context.

Following is the additional data

Firm A

Expected Return: 0.15

Standard Deviation: 0.12

Firm B

Expected Return: 0.10

Standard Deviation: 0.06

Correlation Coefficient=0.50

Part a:

The investment value is WA=10%=0.1 and WB=90%=0.9 so

[tex]E_{portfolio}=[W_A \times E_A]+[W_B \times E_B]\\E_{portfolio}=[0.1 \times 0.15]+[0.9 \times 0.1]\\E_{portfolio}=0.105 =10.5 \%[/tex]

The standard deviation is given as

[tex]\sigma_{portfolio}=\sqrt{(W_A \times \sigma_A)^2+(W_B \times \sigma_B)^2+(2 \times W_A \times W_B \times CC \times \sigma_A \times \sigma_B)}\\\sigma_{portfolio}=\sqrt{(0.1 \times 0.12)^2+(0.9 \times 0.06)^2+(2 \times 0.1 \times 0.9 \times 0.5 \times 0.12 \times0.06)}\\\sigma_{portfolio}=0.06089 =6.089\%[/tex]

So the return of portfolio is 10.5% and standard deviation is 5.089%.

Part b:

The investment value is WA=90%=0.9 and WB=10%=0.1 so

[tex]E_{portfolio}=[W_A \times E_A]+[W_B \times E_B]\\E_{portfolio}=[0.9 \times 0.15]+[0.1 \times 0.1]\\E_{portfolio}=0.145 =14.5 \%[/tex]

The standard deviation is given as

[tex]\sigma_{portfolio}=\sqrt{(W_A \times \sigma_A)^2+(W_B \times \sigma_B)^2+(2 \times W_A \times W_B \times CC \times \sigma_A \times \sigma_B)}\\\sigma_{portfolio}=\sqrt{(0.9 \times 0.12)^2+(0.1 \times 0.06)^2+(2 \times 0.1 \times 0.9 \times 0.5 \times 0.12 \times0.06)}\\\sigma_{portfolio}=0.1111 =11.12\%[/tex]

So the return of portfolio is 14.5% and standard deviation is 11.12%.

Part c:

Now the correlation coefficient is -0.5 so

Calculation for part a now yields

The investment value is WA=10%=0.1 and WB=90%=0.9so

The value of return will remain same i.e. 10.5%

Whereas the standard deviation is given as

[tex]\sigma_{portfolio}=\sqrt{(W_A \times \sigma_A)^2+(W_B \times \sigma_B)^2+(2 \times W_A \times W_B \times CC \times \sigma_A \times \sigma_B)}\\\sigma_{portfolio}=\sqrt{(0.1 \times 0.12)^2+(0.9 \times 0.06)^2+(2 \times 0.1 \times 0.9 \times -0.5 \times 0.12 \times0.06)}\\\sigma_{portfolio}=0.04911=4.911\%[/tex]

So the return of portfolio is 10.5% and standard deviation is 4.911%.

Calculation for part a now yields

The investment value is WA=90%=0.9 and WB=10%=0.1 so

The value of return will remain same i.e. 14.5%

The standard deviation is given as

[tex]\sigma_{portfolio}=\sqrt{(W_A \times \sigma_A)^2+(W_B \times \sigma_B)^2+(2 \times W_A \times W_B \times CC \times \sigma_A \times \sigma_B)}\\\sigma_{portfolio}=\sqrt{(0.9 \times 0.12)^2+(0.1 \times 0.06)^2+(2 \times 0.1 \times 0.9 \times -0.5 \times 0.12 \times0.06)}\\\sigma_{portfolio}=0.1051 =10.51\%[/tex]

So the return of portfolio is 14.5% and standard deviation is 10.51%.

Part d:

It is evident from the example that by changing the investment from firm A to firm B, the return is increased however the risk is also increased.

For the first investment scenario(A:10% B:90%), (part:a), The return is 10.5% with a risk of 5.089%For the second investment scenario(A:90% B:10%), (part:b), The return is 14.5% with a risk of 11.12%

Here is clearly visible that higher rate of return also increases the risk. In this case for an increase of 4% in the return, there is a rise of 6.031%

The effect of negative correlation coefficient is however minimal as indicated in part c.

For the first investment scenario, the risk is reduced from 5.089% to 4.911%For the second investment scenario, the risk is reduced from 11.12% to 10.51%

This is not a significant effect.

Assume that your parents wanted to have $100,000 saved for college by your 18th birthday and they started saving on your first birthday. They saved the same amount on your birthday and earned 8.0% per year on their investments.

A. How much would they have to save each year to reach their goal?

B. If they think you will take five years instead of four to graduate to graduate and decide to have $140,000 saved just in case, how much more would they have to save each year to reach their new goal?

Answers

Answer:

My parents will need to make 18 deposits of 24,724.16 dollars

My parent will then have to deposit 28,185.55 per year

which is $3,461.39 more than the other scenario

Explanation:

We need to solve for the future value of an annuity-due (because the payment are made at the beginning of each period

[tex]FV \div \frac{(1+r)^{time} -1 }{rate}(1+r) = C\\[/tex]

FV 1,000,000

time   18

rate       0.08

[tex]1,000,000 \div \frac{(1+0.08)^{18}-1 }{0.08}(1+0.08) = C\\[/tex]

C   $ 24,724.163

If we need do save and additional 140,000 dollars:

[tex]FV \div \frac{(1+r)^{time} -1 }{rate}(1+r) = C\\[/tex]

FV 1,140,000

time   18

rate       0.08

[tex]1,140,000 \div \frac{(1+0.08)^{18}-1 }{0.08}(1+0.08) = C\\[/tex]

C  $ 28,185.546

The difference will be:

28,185.55 - 24,724.16 = 3.461,39‬

In what ways can shares be ""preferred""? In which ways are they similar and different from common shares? Give real-world examples.

Answers

Answer:

Ordinary shares and preferred shares are the two main types of shares that companies sell and are traded between investors in the open market. Each type grants shareholders a partial ownership of the company represented by the share.

Despite some similarities, common stock and preferred stock have some significant differences, including property related risk. It is important to understand the strengths and weaknesses of both types of actions before buying them.

Explanation:

Common Stock

First category of stock which is available for everyone i.e. public or common stock is the most common type of stock issued by companies. It gives shareholders the right to share the company's profits through dividends and / or capital appreciation. Common shareholders generally have voting rights, with the number of votes directly related to the number of shares they own. Of course, the company's board of directors can decide whether to pay dividends or not, and how much is paid.

The owners of common shares have "preference rights" to maintain the same proportion of ownership in the company over time. If the company distributes another offer of shares, shareholders can buy as many shares as necessary to keep their property comparable.

Common stocks have the potential to make a profit through capital gains. The performance and principal value of the shares fluctuate with changes in market conditions. The stocks, at what time when sold, may be worth more or less than their original cost. Shareholders are not sure of receiving dividend payments. Stockholders must consider their tolerance for investment risk before investing in common stock.

Preferred Stock

Preferred stocks are generally considered less volatile than common stocks, but generally have less earning potential. Preferred shareholders generally do not have voting rights, like common shareholders, but they have a greater claim on the company's assets. Preferred shares can also be "enforceable", which means that the company can buy shares from shareholders at any time and for any reason, although generally at a favorable price.

Preferred stock shareholders receive their dividends before common shareholders receive theirs, and these payments tend to be higher. Preferred stock shareholders receive fixed and regular dividend payments over a specific period of time, as opposed to variable dividend payments that are sometimes offered to common shareholders. Of course, it is important to remember that fixed dividends depend on the company's ability to pay as promised. In the event that a company declares bankruptcy, preferred shareholders are paid before common shareholders. However, unlike preferred shares, common shares have the potential to generate higher returns over time through capital growth. Remember that investments that seek to achieve higher rates of return also involve a greater degree of risk.

Local Co. has sales of $ 10.2 million and cost of sales of $ 5.7 million. Its​ selling, general and administrative expenses are $ 550 comma 000 and its research and development is $ 1.2 million. It has annual depreciation charges of $ 1.1 million and a tax rate of 35 %. a. What is​ Local's gross​ margin? b. What is​ Local's operating​ margin? c. What is​ Local's net profit​ margin? a. What is​ Local's gross​ margin? ​Local's gross margin is nothing​%. ​(Round to one decimal​ place.) b. What is​ Local's operating​ margin? ​Local's operating margin is nothing​%. ​(Round to one decimal​ place.) c. What is​ Local's net profit​ margin? ​Local's net profit margin is nothing​%. ​(Round to two decimal​ places.)

Answers

Answer:

a. What is​ Local's gross​ margin? ​(Round to one decimal​ place.)

0.4412 / 44.12%

b. What is​ Local's operating​ margin? ​(Round to one decimal​ place.)

0.1618 / 16.18%

c. What is​ Local's net profit​ margin? ​​(Round to two decimal​ places.)

0.1049 / 10.49%

Explanation:

                                                  Local Co.

              Income Statement for the year ended MM DD, YY

                                                                            $, million

Sales                                                                         10.20

-Cost of sales                                                             5.70

=Gross Income                                                          4.50

-Selling, general and administrative expenses      0.55

-Research and development                                    1.20

-Annual depreciation charges                                 1.10

=Operating Income                                                   1.65

-Tax rate of 35 %.                                                     0.58

=Net Income                                                             1.07

(a) Gross Margin = Gross Income / Sales = 4.50 / 10.20 = 0.4412 = 44.12%

(b) Operating Margin = Operating Profit / Sales = 1.65 / 10.20 =0.1618=16.18%

(c) Net Profit Margin = Net Income / Sales = 1.07 / 10.20 = 0.1049 = 10.49%

Yancey Productions is a film studio that uses a job-order costing system. The company's direct materials consist of items such as costumes and props. Its direct labor includes each film's actors, directors, and extras. The company's overhead costs include items such as utilities, depreciation of equipment, senior management salaries, and wages of maintenance workers. Yancey applies its overhead cost to films based on direct labor-dollars At the beginning of the year, Yancey made the following estimates: Direct labor-dollars to support all productions Fixed overhead cost Variable overhead cost per direct labor dollar $8,640,000 $5,184,0ee $0,21 Required: 1. Compute the predetermined overhead rate 2. During the year, Yancey produced a film titied You Can Say That Again that incurred the following costs Direct materials Direct labor cost $1,350,00e $2,592,000

Answers

Answer:

Instructions are listed below.

Explanation:

Giving the following information:

Yancey applies its overhead cost to films based on direct labor-dollars.

At the beginning of the year, Yancey made the following estimates:

Direct labor dollars= 8,640,000

Fixed overhead cost= 5,184

Variable overhead cost per direct labor dollar= $0,21

To calculate the predetermined overhead rate we need to use the following formula:

Estimated manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Estimated manufacturing overhead rate= 5,184/8,640,000 + 0.21= 0.0006 + 0.21= $0.2106 per direct labor dollar

Now, we can calculate the allocated overhead for You Can Say That Again:

Allocated MOH= Estimated manufacturing overhead rate* Actual amount of allocation base

Allocated MOH= 0.2106*2,592,000= $545,875.2

Mountaineer excavation operates in a low-lying area that is subject to heavy rains and flooding. because of this, mountaineer purchases one year of flood insurance in advance on march 1, paying $36,000 ($3,000/month).
Required:
1. Recore the purchase of insurance in advance on March,1.
1. Record the adjusting entry on December, 31.

Answers

Answer:

1. Recore the purchase of insurance in advance on March,1.

Debit Prepaid Insurance $36,000

Credit Cash $36,000

2. Record the adjusting entry on December, 31.

Debit Insurance Expense $30,000

Credits Prepaid Insurance $30,000

Explanation:

Mountaineer excavation purchases one year of flood insurance in advance on March 1, paying $36,000 ($3,000/month). The company records the insurance as the prepaid Insurance:

Debit Prepaid Insurance $36,000

Credit Cash $36,000

On December, 31, the last day of the following 10 months, the company records an adjusting entry that Credits Prepaid Insurance for $30,000 ($3,000/month times the 10 months) and Debits Insurance Expense for $30,000

Debit Insurance Expense $30,000

Credits Prepaid Insurance $30,000

1. Record of the purchase of insurance in advance on March,1 as Debit Prepaid Insurance $36,000 &  Credit Cash $36,000.

2. Record the adjusting entry on December, 31 as Debit Insurance Expense $30,000 & Credits Prepaid Insurance $30,000.

1. The journal entry above records the payment of $36,000 for one year of flood insurance coverage.

It debits the Insurance Expense account (or Prepaid Insurance account) to recognize the expense and credits the Cash account to reflect the payment made.

Thus, the journal entry would look like this

                                 Debit                                          Credit

Prepaid Insurance  $36,000

Cash                                                                          $36,000

2.  Mountaineer Excavation would need to recognize the portion of the prepaid insurance that has been used up.

Since the insurance was purchased on March 1 and covers a period of one year, by December 31, 10 months’ worth of insurance has been used up. At a rate of $3,000 per month, this amounts to $30,000.

Thus, the journal entry would look like this

                                   Debit                                              Credit

Insurance Expense   $30,000

Prepaid Insurance                                                           $30,000

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Old Economy Traders opened an account to short-sell 1,000 shares of Internet Dreams from the previous question. The initial margin requirement was 50%. (The margin account pays no interest.) A year later, the price of Internet Dreams has risen from $40 to $50, and the stock has paid a dividend of $2 per share. (LO 3-4)

a. What is the remaining margin in the account?

b. If the maintenance margin requirement is 30%, will Old Economy receive a margin call?

c. What is the rate of return on the investment?

Answers

The remaining margin in the account after a year is -$30,000 due to the increased stock price.No margin call is received as the account's equity of $80,000 exceeds the minimum required equity of $15,000.The investment's rate of return is about 60%, considering the gain in stock value and dividends relative to the initial investment.

Part (a): Remaining Margin in the Account

Old Economy Traders were required to put up 50% of the total value of the shares that were short sold as the initial margin requirement is 50%.

At the $40 starting price, 1,000 Internet Dreams shares are worth $40,000. As a result, they had to put down a $20,000 initial margin.

The stock price has risen to $50 per share, and the value of 1,000 shares is now $50,000.

[tex]\[ \text{Remaining Margin} = \text{Initial Investment} - \text{Current Value} \\\\= $20,000 - $50,000 = -$30,000 \][/tex]

Part (b): Margin Call

The maintenance margin requirement is 30%. This means that the account's equity must be at least 30% of the total value of shares.

Calculate the account's equity at the current value of the shares:

[tex]\[ \text{Equity} = \text{Current Value} - \text{Remaining Margin} \\\\= $50,000 - (-$30,000) \\\\= $80,000 \][/tex]

Now, calculate the minimum required equity based on the maintenance margin requirement:

[tex]\[ \text{Minimum Required Equity} = \text{Maintenance Margin} \times \text{Total Value} \\\\= 0.30 \times $50,000 \\\\= $15,000 \][/tex]

Part (c): Rate of Return on the Investment

The rate of return on the investment is calculated as the total gain (including dividends) divided by the initial investment.

Total Gain = Change in Stock Value + Dividends

Total Gain = ($50 - $40) × 1,000 + $2 × 1,000 = $12,000

Rate of Return = (Total Gain / Initial Investment) × 100

Rate of Return = ($12,000 / $20,000) × 100 ≈ 60%

Thus, the rate of return on the investment is approximately 60%.

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Final answer:

a. The remaining margin in the account is -$30,000. b. Old Economy will receive a margin call. c. The rate of return on the investment is approximately 30%.

Explanation:

a. To calculate the remaining margin in the account, we need to determine the amount of the initial margin and subtract the current value of the short position from it. The initial margin is 50%, so the initial margin amount would be 50% of the short position value, which is 50% of 1000 shares multiplied by the initial price of $40. Hence, the initial margin is $20,000. Given that the current price is $50, the value of the short position is $50 multiplied by 1000 shares, which is $50,000. Subtracting the short position value from the initial margin, we get the remaining margin in the account, which is $20,000 - $50,000 = -$30,000.

b. To check if Old Economy will receive a margin call, we need to calculate the maintenance margin amount. The maintenance margin requirement is 30%, so the maintenance margin amount would be 30% of the short position value, which is 30% of $50,000. Hence, the maintenance margin is $15,000. Comparing the remaining margin (-$30,000) with the maintenance margin ($15,000), we can see that the remaining margin is less than the maintenance margin. Therefore, Old Economy will receive a margin call.

c. The rate of return on the investment can be calculated using the formula: Rate of return = (Ending Value - Starting Value + Dividends) / Starting Value. Given that the starting value is $40, the ending value is $50, and the dividends per share is $2, the rate of return can be calculated as follows: ($50 - $40 + $2) / $40 ≈ 0.30 or 30%.

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