Suppose you invest $1,600 for six years at an annual percentage rate of 9 percent. a. What is the future value if interest is compounded annually? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the future value if interest is compounded semiannually? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What is the future value if interest is compounded monthly? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. What is the future value if interest is compounded continuously? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answers

Answer 1

Answer:

a. Principal amount = $1,600

rate of interest = 9% compounded annually

Period = 6 years

Future value = P (1+r)^t

= $1,400 (1+0.09)^6

= $1,600 * 1.6771

= $2683.36

b.   Principal amount = $1,600

rate of interest = 9% compounded semi annually, semi annual rate of interest = 9*6/12 = 4.5%

Time = 6 years, semiannual period = 6*2 =12

Future value = P (1+r)^t = $1,400 (1+0.045)^12

= $1,600 * 1.6959

= $2713.44

c.  Principal amount = $1,600

Rate of interest = 9% compounded monthly, monthly rate of interest = 9/12 = 0.75%

Time = 6 years, monthly period = 6*12 =72

Future value = P (1+r)^t

= $1,600 (1+0.0075)^72

= $1,600 * 1.7125

= $2740

d.   Principal amount = $1,400

Rate of interest = 9% compounded continuously

Period = 6 years

Future value = P * e^rt

= $1,600 (2.71828)^(0.09*6)

= $1,600 * 1.7160

= $2745.60


Related Questions

Consider the following probability distribution of returns for Alpha Corporation:________. Current Stock Price ($) Stock Price in One Year ($) Return R Probability PR $25 $35 40% 25% $25 0% 50% $20 -20% 25% The standard deviation of the return on Alpha Corporation is closest to:_______. a. 22.4% b. 19.0% c. 21.8% d. 19.4%

Answers

Answer:

c. 21.8%

Explanation:

Note: B = Year beginning stock, C = Year end stock price, D = Dividend, E = Holding Period return, F= Holding Period return*Probability, G = (Holding Period return - Expected return)^2, H= Probability * (Holding Period return - Expected return)^2

Probability     B       C       D       E        F           G              H

25%               $25  $35     -       40%   10%    0.12250    0.03063

50%               $25  $25     -       0%      0%    0.00250   0.00125

25%               $25  $20     -      -20%   -5%    0.06250   0.01563

                              Expected return = 5%                       4.75%

Holding period return = (Price at year end +dividend -Price at year beginning)/Price at year beginning

Variance = 4.75%

Standard deviation = √(variance)

Standard deviation = √4.75%

Standard deviation = 21.8%

Suppose that the average P/E multiple oil industry stocks are 18. is an integrated oil company and analysts at expected the company to earn $5.25 in the coming year. What is the intrinsic value of stock?

Answers

Answer:

$94.50

Explanation:

Calculation for the intrinsic value of stock

Using this formula

Intrinsic value of stock=Average P/E multiple oil stock*Amount to earn

Let plug in the formula

Intrinsic value of stock=18*$5.25

Intrinsic value of stock=$94.50

Therefore the Intrinsic value of stock will be $94.50

Why is credit an important part of the economy?

A. It allows people and businesses to pay off expensive purchases
over time.

B. It helps workers find higher-paying jobs that take advantage of
their skills.

C. It encourages businesses to sell products both domestically and
internationally

D. It prevents banks from charging companies interest on long-term
loans.

Answers

Answer:

A. It allows people and businesses to pay off expensive purchases

over time.

Explanation:

A credit facility is an arrangement where a buyer obtains goods or services and pays for them over a long time. Credit contrasts cash payment, where the buyer pays make full payment for a product when acquiring it.

Credit allows a business to acquire expensive items and assets. Should a business be in need of something that it cannot afford to pay on a cash basis, it can negotiate favorable credit terms with the seller.  Payments for such an item are spread over an agreed period. The buyer pays through small and affordable installments until they clear the debt.

Why is it important to know the cost of inspection in a particular areas of business organization?​

Answers

Explanation:

Every regulated organization understands the need to implement a quality system. In fact, it’s a “shall” clause for all life sciences companies to ensure they are in compliance with industry regulations. The focus of any effective quality system is, and rightly so, all about ensuring patient safety. From there, as the organization matures, its people, processes and technology evolve from a compliance, to a correction, to a prevention mindset, eventually resulting in increased quality brand recognition and shareholder value.

In the real world, companies need to engage quality system processes, such corrective and preventive action (CAPA), as the lifeline to feed improvements through the change management processes into the product lifecycle, from design inputs to manufacturer and supplier outputs.

Defining the cost of quality

As we look at process and product improvements, quantifying the “quality” costs to the organization is defined as the Cost of Quality (COQ). Why quantify the quality data? The COQ categorizes these costs so the organization can see how moving from a quality assurance (control and correction) focus to a focus on prevention helps to reduce the cost of nonconformances.

The American Society of Quality (ASQ) uses the following formula to calculate the COQ:

Cost of Quality (COQ) = Cost or Poor Quality (COPQ) + Cost of Good Quality (COGQ)

The COPQ contains all the costs of nonconformances that are both internal and external to the organization; whereas, the COGQ contains the cost of quality conformance, including any costs associated with both appraisal and prevention.

Some examples would be:

COPQ – Internal Costs (defects occurring and managed within the organization)

Scrap, Rework, Re-inspection

COPQ – External Costs (defects that reach the consumer)

Adverse Event Reporting, Warranty, Corrections and Removals, Product Liability, loss of brand reputation

COGQ – Appraisal Costs (controls put in place by the organization)

Inspection (purchased, manufactured), Testing (acceptance, field), Quality Audits, Calibration

COGQ – Prevention Costs (activities to eliminate defects from ever occurring)

SPC (statistical process control), Quality Planning, Quality Training, investment in quality-related information systems

What is the cost to your organization?

In the life sciences industry, analysts have stated that less than 50 percent of companies really know what the COQ is for their organization. However, ASQ, Crosby, and FDA Case for Quality show that the COQ for an organization can range from 3 – 25% of a company’s revenue. The good news is that there are known strategies that can be put in place to drive down the COQ which will have a direct positive impact on the profitability of your organization, and it’s all within your control.

Strategies for cost improvements

Every company is at a different point in the evolution of its people, processes and technology implementations, and even its understanding of its key metrics/performance indicators or COQ. Management could consider leveraging the following strategies to reduce their company’s COPQ and positively impact its quality and profitability performance.

Improve supplier relationships for both product and process improvements

Collaborate during design process, engage suppliers in the corrective action process (from incoming, manufacturing or customer-reported problems), develop supplier scorecards, audit suppliers based on their product/process risk levels

Sarah's dog had purebred puppies that she decided to sell on www.puppyfind.com. She ships them using an airline. If a puppy dies and the buyer decides to sue, who can he sue?


Sarah

the sole proprietorship

the airline carrier

all of the above

Answers

Answer:

The buyer should sue the airline carrier

Explanation:

Because it is the airlines job to make sure that the puppy are safe and health

Production possibilities frontiers usually curve out and away from the origin. The implication of this curvature is that:_________

a. the opportunity cost of producing a good stays the same regardless of how much of that good is produced.

b. the opportunity cost of producing a good goes down as more of that good is produced.

c. some resources are better at producing one good while other resources are better at producing alternative goods.

d. technological change is present.

e. as resources are used to produce one good, fewer resources are available to produce another good.

Answers

Answer:

The right response is Option C (Some resources..............goods).

Explanation:

It should be remembered whether PPF seems to be concave to something like the root, representing growing opportunity costs, in other words whenever one starts going down upon this PPF, the inventory cost between one item which requires to be substituted improves throughout addition maximize enhance the production of both of these commodities. The program is given when continuous and along output prospect boundary.

Some other options offered are not relevant to the case described. So the solution here was the right one.

Customer groups represent different segments if: ___________.a. Their needs require different products/services or different prices. b. Other elements of the canvas need to change in order to reach them. c. They can be categorized into different groups. d. Distinctions only matter if tailoring parts of the business to reach some customers makes it more difficult to reach other customers.

Answers

Answer:

a. Their needs require different products/services or different prices

Explanation:

A customer segment is a term in business that is used to describe a group of consumers with identical or related needs, behaviors, or other characteristics. For example Mass Market, Niche Market, etc.

However, customer groups represent separate segments based on the following:

1. their needs mandate and justify a distinct offer

2. they are sold through various distribution means.

3. they need different types of connection or arrangement.

4. they are ready to pay for various items of the offer

A company's income before interest expense and income taxes is $350,000 and its interest expense is $100,000.Its times interest earned ratio is:_________.A) 0.29B) 3.50C) 2.50D) 1.75E) 0.50

Answers

Answer:

B) 3.50

Explanation:

The computation of the times interest earned ratio is shown below:

As we know that

Times interest earned ratio is

= Income before interest expense and income taxes ÷ interest expenses

= $350,000 ÷ $100,000

= 3.50

Hence, the times interest earned ratio is 3.50

Therefore the correct option is b.

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

A partially amortizing mortgage is made for $180,000 for a term of 30 years. The borrower and lender agree that a balance of $40,000 will remain and be repaid as a lump sum at that time. If the interest rate is 6.50%, what must the monthly payment be over the 30 year period?

a. $1,101.56
b. $1,137.72
c. $5,285.36
d. $11,700.00

Answers

Answer:

Monthly payment= $1,137.8

Explanation:

Giving the following information:

PV= 180,000

n= 30*12= 360

i= 0.065/12= 0.005417

To calculate the monthly payment, we need to use the following formula:

Monthly payment= (PV*i) / [1 - (1+i)^(-n)]

Monthly payment= (180,000*0.005417) / [1 - (1.005417^-360)]

Monthly payment= $1,137.8

Escalation bias refers to the situation in which:_______. a. investors put more money into a failure rather than into a success. b. investors tend to follow the herd. c. investors have a propensity to sell winners too soon and hang on to losers too long. d. investors ignore bad news and overemphasize good news. e. investors are all noise traders.

Answers

Answer:

a. investors put more money into a failure rather than into a success.

Explanation:

The escalation bias is a part of behavioral finance. In this the investor is not accepting their mistake if they had done any kind of mistake. Rather accepting it they put more money in the asset that performed poorly also at the same time the bad news is ignored by them, they only focused to invest more and more in the stocks

hence, the correct option is a

Blankenship Company operates a factory with two departments, X and Y. The utilities to heat and light the manufacturing facility would most likely be allocated to departments X and Y on the basis of:a. Square Footage occupiedb. Machine Hoursc. Direct labor hoursd. Units sold

Answers

Answer:

a. Square Footage occupied

Explanation:

Machine hours is the cost drive of utilities (cost object); it is not the basis of allocation. Direct labor hours is the cost drive of utilities (cost object); it is not the basis of allocation. Unit sold is the basis of allocation of advertising; it is not the allocation bases of utilities.

Utilities expenses such as heat, water, and lighting are generally allocated based area occupied by the department. Hence, the option “square footage occupied” is the correct answer.

Trent is a skilled sketch artist who wants to create images for his online portfolio. He is even
toying with including live "watch me draw" videos for audiences, but he doesn't want to use a
webcam. Which piece of technology will most quickly and efficiently allow him to translate the
physical act of him drawing into a digital image?
O a scanner
o a digital tablet
O a stock image
O photo editing software

Answers

Answer:

A digital tablet

Explanation:

Explain the importance of feedback in the communication process.(3marks)

Answers

The importance of feedback in the communication process is it helps you give your honest opinion on that product, etc.

Stephen is a day trader who constantly buys and sells only medical-related stocks. Stephen has _____ asset allocation strategy and a(n) _____ security selection strategy.

Answers

Answer: a passive; active

Explanation:

When a person or institution is said to have a passive asset allocation strategy it means that they either trade the same assets over and over or apply the same weighting to the asset class every time. Stephen only trades medical-related stocks so is using passive allocation.

An active security selection strategy means that the person or institution constantly changes and trades the stocks in their portfolio much like Stephen does when he constantly trades stock. Stephen is therefore using an active security selection strategy.


A change in which of the following will cause the aggregate demand curve to shift?
A)
energy costs
B)
productivity of workers
C)
regulations
D)
consumer spending

Answers

Answer:

D) consumer spending

Explanation:

The aggregate demand is the total of all goods and services that consumers are willing and able to buy in the economy in a given period. It is the demand for all goods and services in the entire country per period.  Price variation usually causes movements along the demand curve.

Other factors that influence governments, firms, and household expenditures cause the aggregate demand curve to shift.  A change in consumer spending will reduce the number of goods demanded. The aggregate demand will shift inwards.

You are the strategic leader of a highly competitive electronics company, Anderson Inc. Anderson Inc. is a global leader in electronics sales to corporate and international customers. The competitive nature of the market is creating the need to implement new and well researched strategies and online tools in order to compete with another company that is taking contracts from your organization daily. This other company, Henkerson Inc., is offering products at a slightly lower cost. Their customer service ratings, however, are much lower than Anderson Inc.

Anderson’s customer service could be superior as a result of :_________

Answers

Answer:

The options are missing, so I looked for similar questions. The option that I believe is correct is:

A good reputation for having few OOS (out-of-stock) problems when fulfilling large orders.

Customer service is extremely important in today's world were competition is fierce and global. The less competition, the less value customer service has, but companies from around the world compete against each other. E.g. if you do not like how some salespeople treat you at a certain store, you can go online and buy the same products from a retailer 2,000 miles away. You must always remember that keeping old customers happy and loyal is always much easier and cheaper than getting new customers.

In a B2B environment, costs are important, and any difference in costs is much more important because the quantities sold are larger. But if the company that sells the lower priced products offers a terrible customer service and is not able to fulfill orders in time, then B2B clients will leave them because time is money. Th elonger the lead time, the higher the stockout probabilities and you require a larger safety stock which costs money.

why is the period from late 20s to early 40s the best time for becoming an entreprnur?​

Answers

Late 20s to late 40s: This is almost the perfect time for would-be entrepreneurs, for many reasons: At this point in life, they know what they like, and what they don't like. They have obtained business and life skills. They have some assets and credit.

The period from late 20s to early 40s the best time for becoming an entrepreneur is the creative and innovative ideas are the used is the startup new business.

What is entrepreneur?

The term “entrepreneur” refers to the person who launches a new business at their own risk and profit basis. The starting up of a new business with a new idea and logic is called entrepreneurship. The entrepreneur's main motive is to set up a business to generate employment.

The period from the early 20s to the early 40s is ideal for an entrepreneur since technology is evolved enough to start a new business. The business owner works on websites, blogs, digital media, photo editing, television, and radio. The inventive and creative ideas that comprise the most effective company plans.

As a result, the  20s to early 40s are the best period to entrepreneur.

Learn more about on entrepreneur, here:

https://brainly.com/question/13897585

#SPJ2

Burnett Corp. pays a constant $8.90 dividend on its stock. The company will maintain this dividend for the next 12 years and will then cease paying dividends forever. If the required return on this stock is 11 percent, what is the current share price?

Answers

Answer:

Price today = $57.78196973 rounded off to $57.78

Explanation:

The dividends paid by the stock can be said to be in the form of an annuity as the dividend payment is constant, it occurs after equal interval of time and it is expected for a finite or limited period of time. These satisfy the conditions of being an annuity. We assume that the dividend are paid at the end of the year and this is in form of an ordinary annuity.

To calculate the present value of the stock today, we will use the formula for present value of ordinary annuity. The formula for present value of annuity is attached.

Price today = 8.9 * [ (1 - (1+0.11)^-12) / 0.11 ]

Price today = $57.78196973 rounded off to $57.78

(TCO B) WordPerfect Corporation noticed that the more of its word processing software packages it sold, the more customers complained or suggested improvements. In such a situation, WordPerfect Corporation has the opportunity to:_________.
a. steadily improve its word processor software.
b. be acquired by a larger company that can take over the development of the product.
c. develop a completely new program.
d. discontinue production.

Answers

Answer:

a. steadily improve its word processor software.

Explanation:

Remember, although we are told WordPerfect Corporation customers complained they also suggested improvements. Meaning, the product isn't entirely bad but needs some improvements.

Instead of developing a completely new program or discontinue production, It makes logical sense for them to improve the word processor software to fit the needs of the customers.

The next dividend payment by Skippy, Inc., will be $2.95 per share. The dividends are anticipated to maintain a growth rate of 4.8 percent, forever. If the stock currently sells for $53.10 per share, what is the required return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answers

Answer:

10.35%

Explanation:

The next dividend payment for skippy incorporation is $2.95

The growth rate is 4.8%

The stock currently sells for $53.10

Therefore the required return can be calculated as follows

R= 2.95 /53.10 + 4.8/100

= 0.0555 + 0.048

= 0.1035 × 100

= 10.35%

Answer:

Explanation:

Dividend Yield =$0.50$2.95×100=16.9%.

In 2010, real GDP was $13.2 trillion and nominal GDP was $14.6 trillion. What was the GDP deflator for that year?a. 9.6% lower b. 9.6% higher c. 10.6% lower . d. 10.6% higher

Answers

Answer:

d. 10.6% higher

Explanation:

Given that;

Real GDP = $13.2 trillion

Nominal GDP = $14.6 trillion

GDP deflator = (Nominal GDP/Real GDP)× 100)

Hence,

GDP deflator = (14.6 / 13.2 ) × 100

GDP deflator = 110.6%

Thus,

= 110.6 - 100

= 10.6% higher

Flexible Budget for Selling and Administrative Expenses for a Service Company. Cloud Productivity Inc. uses flexible budgets that are based on the following data:
Sales commissions 14% of sales
Advertising expense 18% of sales
Miscellaneous administrative expense $7,000 per month plus 12% of sales
Office salaries expense $29,000 per month
Customer support expenses $13,000 per month plus 20% of sales
Research and development expense $30,000 per month
Prepare a flexible selling and administrative expenses budget for March for sales volumes of $400,000, $500,000, and $600,000.
Cloud Productivity Inc.
Flexible Selling and Administrative Expenses Budget
For the Month Ending March 31, 2016
Total sales $400,000 $500,000 $600,000
Variable cost:
Sales commissions
Advertising expense
Miscellaneous administrative expense
Customer support expense
Total variable cost
Fixed cost:
Miscellaneous administrative expense
Office salaries expense
Customer support expense
Research and development expense
Total fixed cost
Total selling and administrative expenses

Answers

Answer:

Total selling and administrative expenses budget for March are as follows:

For sales volumes of $400,000 = $327,000

For sales volumes of $500,000 = $389,000

For sales volumes of $600,000 = $451,000

Explanation:

Note: See the attached excel file for the flexible selling and administrative expenses budget for March

A flexible budget can be described as a budget that changes with the level or volume of activity of a company.

In this question, sales volume is used as the level of activity and a flexible selling and administrative expenses budget for March for sales volumes of $400,000, $500,000, and $600,000 is prepared in the attached excel file.

You own a bond that pays $64 in interest annually. The face value is $1,000 and the current market price is $1,062.50. The bond matures in 30 years. What is the yield to maturity? (round your answer to two decimal places)

Answers

Answer:

the yield to maturity of this bond is 5.7%

Explanation:

given data

pays interest annually C =  $64

face value F = $1,000

current market price P = $1,062.50

bond matures n = 30 years

solution

we get here yield to maturity that is express as

yield to maturity =

yield to maturity = [C+ (F-P) ÷ n] ÷ [(F+P) ÷ 2   ]     .................1

put here value and we get

yield to maturity = [tex]\frac{64+(1000-1062.50)}{11}[/tex]  ÷ [tex]\frac{(1,000+1,062.50)}{2}[/tex]

yield to maturity = 0.057

so that the yield to maturity of this bond is 5.7%

Courageous, Inc. just paid a dividend of $1.80per share on its stock. The dividends are expected to grow at a constant rate of 3 percent per year, indefinitely. If investors require a 12 percent return on Courageous stock, what is the current price? What will the price be in 3 years? In 15 years?
PART A:
Current Price: $____________.
PART B:
Price in Three Years: $____________.
PART C:
Price in Fifteen Years: $____________.

Answers

Answer:

P0 = $20.6

P3 = $22.5101762 rounded off to $22.51

P15 = $32.09412 rounded off to $32.09

Explanation:

Using the constant growth model of dividend discount model, we can calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,

P0 = D0 * (1+g) / (r - g)

Where,

D0 * (1+g) is dividend expected for the next period /year g is the growth rate r is the required rate of return or cost of equity

Current Price

P0 = 1.8 * (1+0.03)  /  (0.12 - 0.03)

P0 = $20.6

Price in three years

To calculate the current price of P0 we use the dividend for Year 1 or D1. Similarly, to calculate the price in three years or P3, we will use D4.

P3 = 1.8 * (1+0.03)^4  /  (0.12 - 0.03)

P3 = $22.5101762 rounded off to $22.51

Price in fifteen years

We will use D16.

P15 = 1.8 * (1+0.03)^16 / (0.12 - 0.03)

P15 = $32.09412 rounded off to $32.09

Which of the following summarizes the AIDA steps in the persuasive process? A. Get attention, insinuate action, create desire, initiate acceptance B. Get acceptance, invite questions, designate action, encourage attention C. Get attention, arouse interest, create desire, encourage action D. Get attention, initiate action, discuss benefits, create acceptance

Answers

Answer:

C. Get attention, arouse interest, create desire, encourage action

Explanation:

Remember, AIDA which stands for Awareness, Interest, Desire, Action refers to a step process that explains the main thought process an individual passes through before they finally decide to buy a product or service.

The persuasive process begins:

First with getting attention or awareness for the product or service. Next, arouse interest in the minds of potential customers, this, in turn, creates desire, which leads to the final step; encourage action to buy the product or service.

On June 8, Williams Company issued an $87,600, 9%, 120-day note payable to Brown Industries. Assuming a 360-day year, what is the maturity value of the note?

Answers

I think is 739 not sure tho

For the first week of the month, the Flour Shop Bakery budgeted to sell 100 cakes at $35 each. They actually sold 105 cakes at $40 each. The selling-price variance is:_________.a) $525 favorable.b) $525 unfavorable.c) $700 favorable.d) $700 unfavorable.

Answers

Answer:

a) $525 favorable

Explanation:

The computation of the selling price variance is shown below:

The Selling price variance is

= Actual quantity sold × (actual selling price - expected selling price)

= 105 cakes × ($40 - $35)

= 105 cakes × $5

= $525 favorable

Hence, the selling price variance is $525 favorable

Therefore the correct option is a.

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Calculate the yield to maturity of a zero coupon bond with a face value (par value) of $1,000, maturing in 15 years and selling for a price of $525.75.a. 5.62%.b. 4.38%.c. 8.74%.d. 15.26%.e. 16.27%.

Answers

Answer:

YTM = 0.043793 or 4.3793% rounded off to 4.38%

Explanation:

The yield to maturity or YTM is the yield or return that an investor can earn on the bond if the bond is purchased today and is held till the bond matures. The formula to calculate the Yield to maturity of a zero coupon bond is as follows,

YTM = [ (( F / PV)^1/n)  - 1 ]

Where,  

F is the Face value of the bond

PV is the current value of the bond

n is the number of years to maturity

YTM = [ (( 1000 / 525.75)^1/15) - 1 ]

YTM = 0.043793 or 4.3793% rounded off to 4.38%

On June 1, 2018, Marigold Company and Swifty Company merged to form Nash Inc. A total of 769,000 shares were issued to complete the merger. The new corporation reports on a calendar-year basis. On April 1, 2020, the company issued an additional 599,000 shares of stock for cash. All 1,368,000 shares were outstanding on December 31, 2020. Nash Inc. also issued $600,000 of 20-year, 8% convertible bonds at par on July 1, 2020. Each $1,000 bond converts to 36 shares of common at any interest date. None of the bonds have been converted to date. Nash Inc. is preparing its annual report for the fiscal year ending December 31, 2020. The annual report will show earnings per share figures based upon a reported after-tax net income of $1,688,000. (The tax rate is 20%.)

Determine the following for 2020:

a. Basic earnings per share.
b. Diluted earnings per share.
c. The earnings figures to be used for calculating:
d. Basic earnings per share.
e. Diluted earnings per share.

Answers

Answer:

a. Basic earnings per share.

weighted average outstanding:

January 1 = 769,000 stocks

April 1 = 599,000 x 9/12 = 449,250 stocks

total weighted average outstanding stocks = 1,218,250 stocks

basic earnings per share = $1,688,000 / 1,218,250 = $1.3856 ≈ $1.39

b. Diluted earnings per share.

diluted shares = ($600,000 / $1,000) x 36 stocks x 1/2 = 10,800

diluted earnings per share = $1,707,200 / (1,218,250 + 10,800) = $1,707,200 / 1,229,050 = $1.389 ≈ $1.39

c. The earnings figures to be used for calculating:

Basic earnings per share

= net income = $1,688,000

Diluted earnings per share

= net income + interests saved - taxes on interests saved = $1,688,000 + $24,000 - $4,800 = $1,707,200

One of your team members is struggling with preparation of balance sheet and he needs your assistance in completing it. He has come up with following missing information. You are required to complete this Balance sheet.
Assets Liabilities & Equity
Cash $ 100,000 Current Liabilities
Receivables Long Term Debt
Inventory Total Debt
Plant Common Equity $ 600,000
Total Assets Total Claims

Additional Information:
Current Ratio is 2.5 ; Average Collection Period is 54 days ; Total Debt to Total Assets 40 percent ; Total Asset Turnover is 2 ; Inventory Turnover 5.

Answers

Answer:

Balance sheet

Cash                 $100,000                Current Liabilities $320,000

Receivables     $300,000                 Long Term Debt     $80,000

Inventory         $400,000                 Total Debt             $400,000

Plant                $200,000                  Common Equity  $600,000

Total Assets $1,000,000                  Total Claims      $1,000,000

Explanation:

a) Total Debt to Total Assets 40 percent:

This means that Equity = 60% (100 - 40%)

If Equity is 60% = $600,000, total claims or assets will be equal to $600,000/60% = $1,000,000

Therefore, total debt = $400,000 (40% of $1,000,000)

b) Total Asset Turnover is 2:

If total assets = $1,000,000 and the total asset turnover is 2 or Turnover/Assets = 2, where total assets = $1,000,000,

Therefore, Turnover = $2,000,000 ($1,000,000 * 2)

c) Inventory Turnover is 5:

Inventory Turnover = Turnover/Inventory = 5

= $2,000,000/Inventory = 5

Inventory = $2,000,000/5 = $400,000

d) Average Collection Period is 54 days:

= Accounts Receivable/Sales x 365 = 54

Accounts Receivable = $2,000,000/365 * 54 = $296,000 or approximately $300,000

Current assets:

Cash = $100,000

Receivables $300,000

Inventory = $400,000

Total = $800,000

e) Current liabilities = Current assets/2.5

= $800,000/2.5

= $320,000

f) Plant = Total assets - current assets

= $1,000,000 - $800,000

= $200,000

g) Long term debt = Total debt - Current liabilities

= $400,000 - $320,000

= $80,000

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