A. A stock's returns have the following distribution:
Demand for the
Company's Products Probability of This
Demand Occurring Rate of Return If
This Demand Occurs
Weak 0.1 (22%)
Below average 0.2 (12)
Average 0.3 17
Above average 0.2 33
Strong 0.2 56
1.0
Calculate the stock's expected return. Round your answer to two decimal places.
%
Calculate the stock's standard deviation. Do not round intermediate calculations. Round your answer to two decimal places.
%
Calculate the stock's coefficient of variation. Round your answer to two decimal places.
B. A stock has a required return of 16%; the risk-free rate is 4.5%; and the market risk premium is 5%.
What is the stock's beta? Round your answer to two decimal places.
If the market risk premium increased to 7%, what would happen to the stock's required rate of return? Assume that the risk-free rate and the beta remain unchanged. :
I. If the stock's beta is greater than 1.0, then the change in required rate of return will be greater than the change in the market risk premium.
II. If the stock's beta is less than 1.0, then the change in required rate of return will be greater than the change in the market risk premium.
III. If the stock's beta is greater than 1.0, then the change in required rate of return will be less than the change in the market risk premium.
IV. If the stock's beta is equal to 1.0, then the change in required rate of return will be greater than the change in the market risk premium.
V. If the stock's beta is equal to 1.0, then the change in required rate of return will be less than the change in the market risk premium.
New stock's required rate of return will be ?%. Round your answer to two decimal places.

Answers

Answer 1

Answer:

Following are the response to the given question:

Explanation:

For question 1:

The weighted average of each return is the expected return.

[tex]Expected\ return = 0.1 \times -0.22 + 0.2 \times -0.12 + 0.3 \times 0.17 + 0.2 \times 0.33 + 0.2 \times 0.56 \\\\[/tex]

                           [tex]= 0.1830 \\\\= 18.30\%[/tex]

For question 2:

Standard deviation is a measured source of the square deviations from the mean via probability.

[tex]Std \ dev = [0.1 \times (0.183-(-0.22))^2 + 0.2 \times (0.183-(-0.12))^2 + 0.3\times(0.183-0.17)^2 + 0.2\times (0.183-0.33)^2 + 0.2\times (0.183-0.56)^2]^{(\frac{1}{2})}\\\\[/tex]

             [tex]= 0.2596 \\\\= 25.96\%[/tex]

For question 3:

For point a:

[tex]\text{Coefficient of variation} = \frac{std \ dev}{expected\ return} \\\\[/tex]

                                    [tex]=\frac{0.2596}{0.183} \\\\= 1.42[/tex]

For point b:

As per the CAPM:  [tex]\text{Required return = risk free rate + beta}\times \text{market risk premium}[/tex]

[tex]\to 16\% = 4.5\% + beta\times 5\%\\\\\to beta = 2.3[/tex]

 In Option I:

When the beta of the stock exceeds 1.0, the change in the required rate of return must be higher than the increase in the premium of market risk. Beta is the degree to which stock return changes as market returns change.

 [tex]\text{Required return = risk free rate + beta}\times \text{market risk premium}[/tex]

[tex]Required \ return = 4.5\% + 2.3\times 7\%\\\\Required \ return = 20.6\%\\\\[/tex]


Related Questions

The following information was available for Swifty Corporation at December 31, 2017: beginning inventory $89000; ending inventory $128000; cost of goods sold $604000; and sales $992000. Swifty inventory turnover ratio (rounded) in 2017 was

Answers

Answer:

5.57

Explanation:

Calculation to determine what Swifty inventory turnover ratio (rounded) in 2017 was

Using this formula

Inventory turnover ratio =Cost of goods sold/Average Inventory

Let plug in the

Inventory turnover ratio=$604000/[($89000+$128000)/2]

Inventory turnover ratio=$604000/($217,000/2)

Inventory turnover ratio=$604000/108,500

Inventory turnover ratio=5.57

Therefore Swifty inventory turnover ratio (rounded) in 2017 was 5.57

Which one of the following was not a contributing cause of the decline in investment and thus the recessionary expenditure gap occurring during the US recession of 2001?
A. Pessimism relating to the stock market crash

B. The collapse of numerous Internet-related start-up firms

C. Low-interest rates

D. Overcapacity in major industries

Answers

Answer:

Hence the correct option is Option C. Low interest rates.

Explanation:  

Low interest rates:-

Because the real GDP is lower than the potential GDP at the full employment level (Overcapacity). Internet based start ups and stock market are collapsing (The dot com bubble).

An export subsidy will ________ producer surplus, ________ consumer surplus, ________ government revenue, and ________ overall domestic national welfare.

Answers

Answer:

increase; decrease; decrease; decrease.

Explanation:

Trade can be defined as a process which typically involves the buying and selling of goods and services between a producer and the customers (consumers) at a specific period of time.

Basically, trade can be categorized into two (2) main groups and these are;

I. Import: this involves bringing in goods from a foreign country to sell in a different (domestic) country.

II. Export: it involves the sales of goods produced in a domestic country to a foreign country.

An export subsidy can be defined as any government policy that encourages the export of goods to other countries while discouraging the sales of goods in the domestic market through the use of tax reliefs, low cost loans, government foreign adverts, etc.

A surplus is the amount by which the quantity supplied of a good exceeds the quantity demanded of the good.

Producer surplus is the amount a buyer is willing to pay for a good minus the cost of producing the good.

Consumer surplus is the amount a buyer is willing to pay for a good minus the amount the buyer actually pays for it.

Hence, an export subsidy will increase producer surplus, decrease consumer surplus, decrease government revenue, and decrease overall domestic national welfare.

Which part of your uniform must be worn at all times (select all that
apply)?
Badge
Branded polo shirts
Branded shorts or pants
Closed-toed footwear

Answers

Explanation:

closed-toed footwear.

Explain the reason for not reporting property and equipment at fair value except in specified circumstances. What do our OER textbook authors say is normally used as a guideline

Answers

Answer and Explanation:

Property, Plant and Equipment(PPE) are reported are reported at book value in the balance sheet statement. Over it's useful life, depreciation is allocated as expense to PPE and accumulated depreciation is calculated for total of depreciation expense to get net book value(cost less depreciation expense). PPE is only reported at fair value when it is going to be sold or it is damaged/impaired asset. Otherwise it is not useful to report PPE at fair value in the statement.

Allison's has a market value equal to its book value. Currently, the firm has excess cash of $1,100 and other assets of $12,400. Equity is worth $13,500. The firm has 2,500 shares of stock outstanding and net income of $10,800. What will be the new earnings per share if the firm uses its excess cash to complete a stock repurchase

Answers

Answer: $4.70

Explanation:

The new earnings per share will be calculated thus:

Total Earnings = $10,800

Outstanding Shares = 2,500

Equity = $13,500

Per Share Value:

= Equity / Outstanding shares

= $13,500/2,500

= $5.4 per share

The number of shares that' will be bought by the excess cahs will be:

= 1100/5.4

= 203.70 shares

Number of shares outstanding after buyback will be:

= 2,500 - 203.70

= 2296.30

Earnings per share will then be:

= 10,800/2,296.30

= $4.70

Even though drive-in restaurants were already popular in America in the 1950’s, they were not as successful as the fast food restaurant owned by the MacDonald brothers. List three reasons for this lack of success.

Answers

Answer:

1- There was no standardization strategy for hamburgers that would maintain the same quality for all orders.

2- There were not enough employees and properly trained to meet the demand of orders.

3- There was no well-defined business model that could expand to become a franchise.

McDonalds's restaurant revolutionized the business world by adopting the standardization of its snacks, which made the business more structured, in a model that, through innovative sandwich assembly devices, made them more standardized, and accelerated the assembly and waiting time for the order .

The division of the processes of assembling snacks and milkshakes into simple and repetitive tasks led to the creation of a production line for the fast-food restaurant in a totally innovative way, which made it possible to meet demand, more quickly and reduce costs. and waste, which made it possible to sell its business model to other locations and then create a profitable franchise that is a successful model to this day.

The three key causes or the reasons that have resulted in this deficiency in the success of drive-in restaurants would be:

1). Inefficiency.

2). Bobbling of orders.

3). Lack of employees.

The main reason for the failure or lagging behind of the drive-in restaurants was their incompetency in managing the demands effectively and efficiently. Despite the number of orders made by people were high initially but the confusion and mismanagement of the orders raised consumer dissatisfaction and they switched to MacDonalds which offered better services. Lastly, the lesser number of employees add fuel to the fire by not providing the required service in terms of management led the popularity to fall.

Learn more about 'America' here:

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In (Noon) Company, direct materials are added at the beginning of the production process. Conversion costs are incurred evenly throughout the production process. Before inspection, some units are spoiled due to undetectable materials defects. Inspection occurs when units are 60% converted. Spoiled units generally constitute 6% of the good units. Data for December 2019 are as follows: WIP, beginning inventory 12/1/2019 Direct materials 22,500 units (100% complete) Conversion costs (55% complete) Started during December 76,700 units Completed and transferred out 12/31/2019 72,500 units WIP, ending inventory 12/31/2019 18,400 units Direct materials (100% complete) Conversion costs (65% complete) What is the number of normal spoilage units?​

Answers

Answer:

Following are the responses to the given question:

Explanation:

Statement In December the computation of typical spoiling units shall be shown:

Particulars                                   Units

WIP Inventory Start on 12 January 2019      22,500

Departments began in December             76,700

Total stock available for both the month     99,200

Less: transferred units on 31 December 2019       72,500

Inventory of Less: WIP on 31 December 2019        18,400

Inventory of Balance (Normal Spoilage units)        8,300

Green Corporation's assets are valued at $1,278,000 after payment of all corporate debts, except for $191,700 of taxes payable on net gains it recognized on the liquidation. Bruno, an individual and the sole shareholder of Green, has a basis of $67,095 in his stock.

Required:
Compute the gain or loss recognized by Bruno on the liquidation of Green Corporation.

Answers

Answer:

$1,019,205 gain

Explanation:

Computation of gain or loss recognized by Bruno on the liquidation of Green Corporation:

Amount ($)

Market value of assets $1,278,000

Less: Tax liability ($191,700)

Amount realized $1,086,300

($1,278,000-$191,700)

Less: Stock Basis ($67,095)

Gain Recognized $1,019,205

($1,086,300-$67,095)

Therefore, gain of $1,019,205 is recognized by Bruno on the liquidation of Green Corporation.

Sunland Company is about to issue $262,700 of 6-year bonds paying an 9% interest rate, with interest payable semiannually. The discount rate for such securities is 8%.

Required:
In this case, how much can Sunland expect to receive from the sale of these bonds?

Answers

Answer:

Amount from sale of bonds  $275,028

Explanation:

The computation is shown below;

Particulars      Amount        PV factor       Present value of cash flows

Interest            $11,821.50   9.38507        $1,10,946

            ($262,700 × 0.09 × 6 ÷ 12)

Principal          $262,700   0.6246         $164,082

Amount from sale of bonds                    $275,028

________ is the process of coordinating all messages, media and activities used by an organization to communicate with the market across different communication methods

Answers

Answer:

integrated Marketing communication

Explanation:

This method is used by firms and companies to brand their communications and also in their coordination. It makes sure that all the various forms of communications are well linked together. This would create a unified communication channel for the consumer during their interactions with the enterprise. the aspects it integrates includes, advertising, public relations, social media and promotion of sales.

Learning Task 1. Provide what is asked. Write your answer on
another sheet of paper.
A Give the common strategies in promoting linen products
Write your answer in a sheet of pad paper.
1.
2.
3.​

Answers

Answer:

mark as the brainly plss

Which of the following characteristics relate to "dollarize"? a. When a country that is not the United States uses the U.S. dollar as its currency. b. The market in which people buy one currency while using another currency. c. When a currency is worth less in terms of other currencies. d. An investment in another country that is purely financial and doesn’t involve any management responsibility.

Answers

Answer:

When a country that is not the United States uses the U.S. dollar as its currency.

Explanation:

A country is said to "dollarize" when such a country allows the use of the dollar alongside or instead of its currency.

A country may dollarize in order to increase ease of doing businesses or as a means of facilitating tourism and boosting the country's tourism potential.

Dollarization may be official and have the approval of the leadership of a country. This occurs when a country ceases to use her domestic currency and begins to use only foreign currency.

During January, Dream House Builders, Inc. incurred $550 of actual indirect materials costs, as supported by materials requisitions.

Required:
Draw the journal entry.

Answers

Answer and Explanation:

The journal entry is given below:

Factory overhead Dr $550

      To Raw material inventory $550

(being the actual indirect material cost is recorded)

Here the factory overhead is debited as it increased the expense while the raw material inventory is credited as it decreased the assets

The nominal interest rate is 6%. Expected inflation is 2%. Actual inflation is 1%. Calculate the ex-ante and ex-post real interest rates. Who benefits from lower actual inflation

Answers

Answer:

1. Ex-ante real interest rate is:

= 4%

2. Ex-post real interest rate is:

= 5%

3. The LENDER benefits from lower actual inflation.  By this, the Ex-ante real interest rate is lower than the Ex-post real interest rate at which the borrower will repay the loan.

Explanation:

a) Data and Calculations:

Nominal interest = 6%

Expected inflation = 2%

Actual inflation = 1%

Ex-ante real interest rate = 4% (6% - 2%)

Ex-post real interest rate = 5% (6% - 1%)

b) The implication is that inflation is lower than expected, and this benefits the lender at the expense of the borrower.  The opposite is applicable when the inflation is higher than expected, and the result benefits the borrower at the expense of the lender.

Scenario 34-1. Take the following information as given for a small, imaginary economy: When income is $10,000, consumption spending is $6,500. When income is $11,000, consumption spending is $7,250. Refer to Scenario 34-1. The marginal propensity to consume (MPC) for this economy is

Answers

Answer:

0.75

Explanation:

Marginal Propensity to Consume (MPC) is the change in consumption due to change in income

Change in consumption = $7,250 - $6,500 = $750

Change in income = $11,000 - $10,000 = $1,000

MPC = Change in consumption / Change in income

MPC = 750 / 100

MPC = 0.75

The amount of a cash dividend liability is recorded on the date of record because it is on that date that the persons or entities who will receive the dividend are identified.
A. True
B. False

Answers

Answer:

A. True

Explanation:

A financial statement is a written report that quantitatively describes a firm's financial health. Under the financial statements is a cash-flow statement, which is used to record the cash inflow and cash equivalents leaving a business firm.

Cash flow statement, also known as the statement of cash flows, contains financial information about operating, financial and investing activities.

Basically, financial statements are formally written records of the business and financial activities of a business entity or organization.

There are four (4) main types of financial statements and these are;

1. Cash flow statement: it contains financial information about operating, financial and investing activities.

2. Statement of changes in equity: it contains financial information about profits or loss, dividends, etc.

3. Income statement: it contains financial information about the income and expenses of an organization.

An income statement comprises of the financial information about the income and expenses of an organization over a specific period of time.

4. Balance sheet: it contains financial information about assets, liability, and equity.

Furthermore, the amount of a cash dividend liability is expected to be recorded on the particular date of record because it is this date that identify the persons or entities who receives the dividend.

What factors affect NPV ?

Answers

Factors Affecting Net Present Value. The major factors affecting present value are the timing of the expenditure (receipt) and the discount (interest) rate. The higher the discount rate, the lower the present value of an expenditure at a specified time in the future.

Answer: Factors Affecting Net Present Value. The major factors affecting present value are the timing of the expenditure (receipt) and the discount (interest) rate. The higher the discount rate, the lower the present value of an expenditure at a specified time in the future.

Explanation:

Olsen Company uses a standard cost system for its production process. Olsen Company applies overhead based on direct labor hours. The following information is available for July: Standard: Direct labor hours per unit 2.20 Variable overhead per hour $2.50 Fixed overhead per hour (based on 11,990 DLHs) $3.00 Actual: Units produced 4,400 Direct labor hours 8,800 Variable overhead $29,950 Fixed overhead $42,300 Refer to Olsen Company Using the three-variance approach, what is the efficiency variance

Answers

Answer:

1800

Explanation:

Your firm has net income of $259 on total sales of $1,100. Costs are $620 and depreciation is $110. The tax rate is 30 percent. The firm does not have interest expenses. What is the operating cash flow

Answers

Answer:

The correct approach is "369".

Explanation:

The given values are:

Net income (NI),

= $259

Total sales,

= $1,100

Depreciation (Dep),

= $110

Tax rate,

= 30%

Now,

The operation cash flow will be:

= [tex]Net \ income +Depreciation[/tex]

By putting the values, we get

= [tex]259+110[/tex]

= [tex]369[/tex]

Mary has a few specific items she would like to leave to her sister, Ann. She would like to leave the balance of her estate to her brother, Tom. Which type of provision should be used in her will to provide for the disposition to Tom

Answers

Answer:

The residuary clause

Explanation: As Mary would like to leave the balance of her estate to her brother tom this will fall under the  residuary clause.

when goods are sold to a customer by entity and customer promise to pay amount at certain future time period that is know as

Answers

Answer:

Promissory agreement.

Explanation:

A promissory agreement can be defined as an evidence of a debt and as such involves the use of a legal financial tool such as a promissory note as a written promise to declare that a party (borrower) would pay another (lender) at a specific period of time.

Thus, when goods are sold to a customer by a business entity and the customer promises to pay an amount of money at a certain future time period it is known as a promissory agreement.

A promissory note can be defined as a signed document that contains a written promise by a customer to pay a specific amount of money to an individual or business firm, on demand or at a certain future time period, for the goods or services purchased.

Chelsea’s manager sent her an email asking to meet, for an unspecified reason, the following Friday. Upon reading this email, Chelsea remembered a situation six months prior when her manager sent such as email to another team member. During that meeting, the team member was laid off from the organization. Based on this recollection, Chelsea is extremely worried about the upcoming meeting with her boss. Which type of bias is being represented? Multiple Choice representative bias recency bias overconfidence Bias framing bias confirmation bias

Answers

Answer: Representative bias

Explanation:

Representative bias occurs when two decisions are wrongly compared by a decision maker due to the fact that there's a perceived similarity between the cases.

Regarding the question, since a similar situation led to the laying off of an employee, Chelsea is already worried that she'll be laid off as well even though this may not be the case. In such cases, due to the similarity, this confuses people's thinking.

When the similarity of objects or events confuses people’s thinking about the possibility of an outcome, it is called representative bias. Thus, Option A. is the correct answer.

What is representative bias?

Representative bias occurs when two decisions are incorrectly compared to the decision-maker because there are obvious similarities between the cases.

In terms of the question, as the same situation has led to the dismissal of the employee, Chelsea is already worried that he too will be retrenched even though this does not happen.

In such cases, because of similarities in the two events, this confuses people's thinking and lets them assume a particular situation.

Thus, Option A. Representative Bias is the correct answer.

To learn more about representative bias, refer to the link:

https://brainly.com/question/24053333

For the same monopolist firm as in the previous question, what is the price that the monopoly chooses to set to go along with its quantity choice

Answers

Hi, you've asked an incomplete question. However, I provided some explanation about what monopoly entails.

Explanation:

Note that the term monopoly basically refers to a market environment in which an entity or enterprise is the only producer of a particular commodity.

In such a situation, the monopolist firm has a market advantage of being able to choose what price to sell its products without been concerned about the price of the competitor's products.

Defined as a loss in value to improvements from any cause, depreciation is generally divided into three categories. The loss of value due to the normal wear and tear on a property is called

Answers

physical deterioration

When the economy is in short-run equilibrium, Group of answer choices there are increases in inventory. people want to buy more than will be produced. there are decreases in inventory. total expenditures equal total production.

Answers

Answer:

total expenditures equal total production.

Explanation:

In the case when the economy is in the short-run equilibrium that means the total expenditures should be equivalent to the total production. In other words, we can say that the expenditure that can be incurred should be equal to the production

Hence, the last option is correct

Henna Co. produces and sells two products, T and O. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 59,000 units of each product. Sales and costs for each product follow. Product T Product O Sales $ 997,100 $ 997,100 Variable costs 697,970 99,710 Contribution margin 299,130 897,390 Fixed costs 150,130 748,390 Income before taxes 149,000 149,000 Income taxes (30% rate) 44,700 44,700 Net income $ 104,300 $ 104,300 Required: 1. Compute the break-even point in dollar sales for each product

Answers

Answer:

Explanation:

Product T

Contribution Margin Ratio=Contribution Margin / Sales

Contribution margin ratio= 299,130.00/ 997,100

Contribution margin ratio=30.00%

Break-Even Dollars=

Fixed costs/Contribution margin ratio Break-even dollars=$150,130/30%

Break-even dollars=$500,433

Product O

Contribution Margin Ratio=Contribution Margin / Sales

Contribution margin ratio= 897,390/ 997,100

Contribution margin ratio= 90.00%

Break-Even Dollars=Fixed costs/ Contribution margin ratio

Break-Even Dollars=$748,390/90% Break-Even Dollars=831,544

Statement Of Owner's Equity Jay Pembroke started a business in April. Prepare a Statement of Owner's Equity using the following balances for April transactions. Cash $12,834 Accounts Receivable 1,809 Office Supplies 4,667 Prepaid Insurance 1,327 Accounts Payable 327 Jay Pembroke, Capital 18,155 Jay Pembroke, Drawing 145 Service Fees 3,113 Rent Expense 813 You will need to calculate the net income for April.

Answers

Answer and Explanation:

the computation of the net income for the april month is as follows;

= Service fees - rent expense

= $3,113 - $813

= $2,300

Now the preparation of the owner equity is as follows;

Jay Pembroke, Capital $18,155

Net income $2,300

Less; Jay Pembroke, Drawing $145

Jay Pembroke, Capital ending capital $20,310

We assume that the capital is given for the beginning of the month

Quickbrush Paint Company is developing a linear program to determine the optimal quantities of ingredient A and ingredient B to blend together to make oil-base and water-base paint. The oil-base paint contains 90 percent A and 10 percent B, whereas the water-base paint contains 30 percent A and 70 percent B. Quickbrush currently has 10,000 gallons of ingredient A and 5,000 gallons of ingredient B in inventory and cannot obtain more at this time. Assuming that x represents the number of gallons of oil-base paint, and y represents the gallons of water-base paint, which constraint is correctly represents the constraint on ingredient A?
A. .9x + .3y ≤ 10,000
B. .9A + .1B ≤ 10,000
C. .9x + .1y ≤ 10,000
D. .3x + .7y ≤ 10,000

Answers

Answer:

A. 0.9x + 0.3y ≤ 10,000

Explanation:

Given

[tex]x \to[/tex] oil based plant

[tex]y \to[/tex] water based plant

The data can be represented in tabular form as:

[tex]\begin{array}{ccc}{} & {A} & {B} & {x} & {90\%} & {10\%} & {y} & {30\%} & {70\%} & {} & {10000} & {5000}\ \end{array}[/tex]

Considering only A, we have the following constraints:

[tex]A \to 90\% * x + 30\% * y[/tex]

[tex]A \to 0.9x + 0.3y[/tex]

Since the company currently has 10000 of A.

The above constraint implies that, the mixture cannot exceed 10000.

So, we have:

[tex]A \to 0.9x + 0.3y \le 10000[/tex]

Hence, (A) is correct

Jeremy loans $2,500 to his son on the condition that he repays with 5 annual payments consisting of interest on the outstanding balance and equal amounts of principal repayments. Payments are made at the end of the year. Jeremy deposits the total payment he receives into a fund that accumulates at the same interest rate. Given that his son repaid $517.50 at the end of the 5th year, how much has the fund accumulated to by the end of the 5 years?

Answers

Answer:

$2,969.22

Explanation:

Equal principal repayment=$2,500/5

Equal principal repayment=$500

The fact that Jeremy's son repaid $517.50 at the end of the 5th year, means that the interest paid in year 5 is the difference between the amount repaid($517.50) and the equal principal repayment($500)

interest paid in year 5=$517.50-$500=$17.50

That also means that the balance outstanding at the beginning of year 5( at the end of year 4) is $500, which effectively means that the interest rate on the loan is the determined thus:

interest paid in year 5=balance at the end of year 4*interest rate

$17.50=$500*interest rate

interest rate=$17.50/$500

interest rate=3.50%

The schedule of repayment is attached

The first repayment would be invested for 4 years, since it is occurring at the end of year 1( in years 2-5), the year 2 repayment would be invested for only 3 years and so on.

FV value of reinvestment of repayment=$587.50*(1+3.50%)^4+$570.00*(1+3.5%)^3+$552.50*(1+3.5%)^2+$535.00*(1+3.5%)^1+$517.50

FV value of reinvestment of repayment=$2,969.22

Answer:

The amount the fund accumulated to by the end of the 5 years is $2,648.23.

Explanation:

Step 1: Calculation of interest rate

The interest rate can be calculated using the following RATE function in Excel:

Interest rate = RATE(nper,pmt,-pv,fv,type) .............(1)

Where;

nper = number of periods = number of years = 5

pmt = Fixed annual payments = Amount repaid by his son at the end of the 5th year = $517.50 = 517.50

pv = present value = Loan amount = $2,500 = 2500

fv = future value = desired cash balance after last payment = 0

type = when payments are due (0 = end of period. 1 = beginning of period) = 0

Substituting the values into equation (1), we have:

Interest rate RATE(5,517.50,-2500,0,0)  .................. (2)

Inputting =RATE(5,517.50,-2500,0,0) into a cell in an excel sheet (Note: as done in the attached excel file), we have:

Interest rate = 1.16%

Step 2: Calculation of the amount the fund accumulated to by the end of the 5 years

This can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (3)

Where,

FV = Future value = The amount the fund accumulated to by the end of the 5 years =

M = Fixed annual payments = $517.50

r = Interest rate = 1.16%, or 0.0116

n = number of years = 5

Substituting the values into equation (3), we have:

FV = $517.50 * (((1 + 0.0116)^5 - 1) / 0.0116)

FV = $517.50 * 5.11735342258641

FV = $2,648.23

Therefore, the amount the fund accumulated to by the end of the 5 years is $2,648.23.

Other Questions
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