One year ago, the Jenkins Family Fun Center deposited $3,500 in an investment account for the purpose of buying new equipment four years from today. Today, they are adding another $5,300 to this account. They plan on making a final deposit of $7,500 to the account next year. How much will be available when they are ready to buy the equipment, assuming they earn a 7 percent rate of return

Answers

Answer 1

Answer:

Total FV= $21,043.97

Explanation:

Giving the following information:

Interest rate= 7% compounded annually

To calculate the total accumulated future value, we need to use the following formula on each deposit:

FV= PV*(1+i)^n

Deposit 1= 3,500*1.07^5= 4,908.93

Deposit 2= 5,300*1.07^4= 6,947.22

Deposit 3= 7,500*1.07^3= 9,187.82

Total FV= $21,043.97


Related Questions

Which of the following statements about the relationship between interest rates and bond prices is true? I) There is an inverse relationship between bond prices and interest rates. II) There is a direct relationship between bond prices and interest rates. III) The price of short-term bonds fluctuates more than the price of long-term bonds for a given change in interest rates. (Assuming that coupon rate is the same for both) IV) The price of long-term bonds fluctuates more than the price of short-term bonds for a given change in interest rates. (Assuming that the coupon rate is the same for both)

Answers

Answer: A. I and IV only

Explanation:

The relationship between bond prices and interest is an inverse one. This is because bonds have fixed rates so when for instance interest rates increase, the fixed rate of bonds will become less attractive as people would want to make the higher interest. They will therefore demand less of bonds and the prices will drop. The reverse is true.

Also, long term bonds are more affected by interest rate changes then short term bonds. This is because, as they have a longer term till maturity, they will be even less attractive when interest rates rise.

Because the coupon rate is fixed, if the necessary rate rises, the bond price falls, and vice versa.

When interest rates vary, the value of long-term bonds fluctuates more than the value of short-term bonds. This is due to the bond's convex hull.

The price of a bond as well as the rate of interest have an inverse relationship.

So, Option "A" and "D" is the correct answer to the following question.

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Instead of reporting the $80,000 as revenue, how else might you report this amount?

Answers

Answer: Unearned Revenue

Explanation:

The $80,000 should be recorded as Unearned Revenue because under the Accrual Principle of Accounting, revenue should only be recognized when the services that were paid for her been given.

If the services have not been given and revenue is accrued, the company should not recognize this as revenue but rather as Unearned revenue. They will only recognize it when they have delivered the rent service. Until then, the unearned revenue will be considered a liability.

g Dan Watson started a small merchandising business in Year 1. The business experienced the following events during its first year of operation. Assume that Watson uses the perpetual inventory system. Acquired $30,000 cash from the issue of common stock. Purchased inventory for $18,000 cash. Sold inventory costing $15,000 for $32,000 cash. Required a. Record the events in general journal format. b. Post the entries to T-accounts. c. Determine the amount of gross margin. d. What is the amount of net cash flow from operating activities for Year 1

Answers

Answer:

a. Journals

Cash $30,000 (debit)

Common Stock $30,000 (credit)

Cash in Exchange of Common Stock

Inventory $18,000 (debit)

Cash $18,000 (credit)

Cash Purchase of Inventory

Cash $32,000(debit)

Cost of Sales $15,000 (debit)

Sales Revenue $32,000 (credit)

Inventory $15,000 (credit)

Sale of Inventory on cash basis

b. T - Accounts

Cash Account

Debit :

Common Stock             $30,000

Sales Revenue              $32,000

Credit :

Inventory                       $18,000

Balance                         $44,000

Common Stock

Debit :

Balance                        $30,000

Credit :

Cash                             $30,000

Balance

Inventory

Debit :

Cash                            $18,000

Credit :

Cost of Sales              $15,000

Balance                        $3,000

Sales

Debit :

Balance                     $32,000

Credit :

Cash                         $32,000

Cost of Sales

Debit :

Inventory                   $15,000

Credit :

Balance                    $15,000

c. Gross Margin = $17,000

d. net cash flow from operating activities for Year 1 = $14,000

Explanation:

Gross Margin = Sales - Cost of Sales

                        = $32,000 - $15,000

                        = $17,000

Net Cashflow from Operating Activities

Cash Paid to Suppliers                                         ($18,000)

Calculation :

Cost of Sales                                $15,000

Add Increase in Inventory            $3,000

Cash Paid to Suppliers                $18,000

Cash Receipts from Customers                           $32,000

Net Cash From Operating Activities                    $14,000

There are two firms, Joe's bakery and Jenny's tire shop. Joe sees his P* greater than AVC but less than ATC, Jenny sees her P* greater than AVC and greater than ATC. What will they do? radio_button_unchecked Jenny will shut down in the short run, stay in the long run, Joe will stay in the long and short run. radio_button_unchecked Jenny will stay in the short and long run and Joe will stay in the short run and exit in the long run. radio_button_unchecked Joe will exit in the long run but stay in the short run and Jenny will shut down in the short run and exit in the long run. radio_button_unchecked Joe will stay in the long and short run and Jenny will stay in the long and short run. SUBMIT

Answers

Answer:

Jenny will stay in the short and long run and Joe will stay in the short run and exit in the long run.

Explanation:

Joe's price is > average variable cost but <  than average total cost. This means that he can continue to operate in the short run as long a the AVC is lower than the price, but on the long run he will close. He will not be able to make a profit in the long run, but his business can "survive" in the short run.

Jenny's price is > average variable cost and >  than average total cost. She can continue to operate in the short and long run.

Cash flows from investing activities do not include cash flows from:a. Lending.b. The sale of equipment.c. Borrowing.d. The purchase of land and buildings.

Answers

Answer:

c. Borrowing

Explanation:

Borrowing in the Cash flow section is a financing activity for an organisation. Neither does it relates to Operating nor investing activities section. Cash flow from investing activities is the section on the cash flow statement that reports changes resulting from amounts spent activities such as investments in capital assets such as plant and equipment, investments.

1. You have been working at Saxet Consulting for the past year and are expected to complete three client reviews per week. You have been very productive and have been completing two extra reviews per week. At a recent team meeting, you expected to receive praise from the President for this extra work; however, your manager took credit for the extra work and received the praise from the President. What has your manager violated and what is your likely reaction?

Answers

Explanation:

Analyzing the situation exposed in the question above, it is correct to state that the manager was malicious in assuming the credits for his subordinate's extra work and acted in an unethical manner.

These situations can happen due to the fact that many employees are afraid to confront their manager for bad behavior due to their hierarchical position and the fear of being warned or losing their jobs, so these situations can be common in companies.

The ideal in this situation would be an assertive reaction, using an ethical and professional approach to know the manager's motivation to act in that way.

It is also valid for other employees to know that their work is being carried out, so that this type of manager behavior is minimized, as there may be a fear of being exposed by the team.

The relationship between manager and subordinate must be based on trust and mutual respect, so that the work is carried out efficiently and each one can do their best to achieve the team's goals.

When the market rate is 8%, a company issues $50,000 of 9%, 10-year bonds dated January 1, 2017, that mature on December 31, 2026, and pay interest semiannually for a selling price of $60,000. When the bonds mature, the issuer records its payment of principal with a (debit/credit)

Answers

Answer:

Bonds payable Dr $50,000

To cash Cr $50,000

Explanation:

Debit to bonds payable in the amount of $50,000.  Upon maturity, bonds payable will be debited by their face value of $50,000.

The premium received on bonds will be written off in phased manner over the life of the bonds.  i.e $60,000 -50,000 = $10,000,

The Journal entry will be:

Date    Account Title              Debit         Credit

            Bonds payable       $50,000

                  Cash                                       $50,000

Stuart Company had Net Income for 2019 of $8,100,000. The firm invested $1,000,000 in manufacturing equipment during 2018 but made no additional capital investments in 2019. The equipment is being depreciated over five years using straight-line depreciation, starting in 2018. Assuming no other adjustments to cash flow than those mentioned here, create a statement of cash flows for 2019 with amounts in thousands. What is the Net Cash Flow in 2019

Answers

Answer:

.....................................................Stuart Company.......................................

.......................................Statement of Cash Flows ....................................

........................................For the year ended 2019...................................

Cash Flow from Operating Activities:  

Net Income........................................................................$8,100,000    

Add Depreciation Expense.................................................$200,000  

Net Cash provided (used) by operating activities: ......$8,300,000

Cash Flow from Investing Activities:  

Purchase of manufacturing equipment ...........................-$1,000,000  

Net Cash provided (used) in Investing activities.............-$1,000,000

Cash Flow from Financing Activities:....................................$0.00

Net cash flow in 2019 ...........................................................$7,300,000

Depreciation of equipment;

= Cost / Useful term

= 1,000,000 / 5

= $200,000

Perteet Corporation's relevant range of activity is 3,900 units to 8,500 units. When it produces and sells 6,200 units, its average costs per unit are as follows: Average Cost per Unit Direct materials $ 6.40 Direct labor $ 3.25 Variable manufacturing overhead $ 1.50 Fixed manufacturing overhead $ 3.50 Fixed selling expense $ 0.80 Fixed administrative expense $ 0.50 Sales commissions $ 0.60 Variable administrative expense $ 0.65 If 4,600 units are produced, the total amount of manufacturing overhead cost is closest to:

Answers

Answer:

Total overhead= $28,600

Explanation:

Giving the following information:

6,200 units:

Variable manufacturing overhead $1.50

Fixed manufacturing overhead $ 3.50

First, we need to calculate the total fixed manufacturing overhead:

Total fixed overhead= 3.5*6,200= 21,700

Now, for 4,600 units:

Total overhead= 4,600*1.5 + 21,700

Total overhead= $28,600

To motivate employees to perform better, the human resources department of Martianse, a chain of retail apparel stores, replaced the company's fixed incentive system with a performance-based incentive system. In this scenario, Martianse's human resources department is most likely using _____. a. behavioral opportunism b. behavioral substitution c. behavioral deskilling d. behavioral disorientation

Answers

Answer:

- Behavioural Substitution

Explanation:

Martianse human resources department uses and deploy the concept of Behavioural Substitution.

To begin, Martianse goal, as a firm, is to motivate the employees to perform better. Hence, the human resources department has come up with measures to achieve that. It is thus believed that replacing the fixed incentive system hitherto known with the firm, should be replaced by a performance based system. By this, the firm believes its primary goal will be accelerated.

Behavioural Substitution is thus the concept that the human resources department has displayed in their analysis and engagement. For one, behavioural substitution is simply the procedures aimed at replacing and/or supplanting efforts and actions that does not lead to goal accomplishments. By general belief, the old style of reward system used by Martianse has been seen as one not leading to goal actualization. Hence, it is important to substitute this non productive reward system with one established to elicit more better and improved performance from the workforce.

A borrower is interested in comparing the monthly payments on two otherwise equivalent 30 year FRMs. Both loans are for $100,000 and have a 7% interest rate. Loan 1 is fully amortizing, where as Loan 2 has negative amortization with a $120,000 balloon payment due at the end of the life of the loan. How much higher is the monthly payment on loan 1 versus loan 2? (Hint: calculate both payments and take the difference. Only the future values of the loans are different. Round your answer to two decimal places.)

Answers

Answer: $98.36

Explanation:

Based on the information that has already been given in the question, the following can be analysed:

For Loan 1:

Interest Rate = 7%

Nper = 30

Present value = $100000

With the above information, we can use the Excel calculator to solve further. To get the monthly payment for the first loan will be:

= pmt(rate, nper, pv,fv)

= pmt(7%/12,30×12,-100000,0)

= pmt(0.07/12,360,-100000,0)

= $665.30

For Loan 2:

Interest Rate = 7%

Nper = 30

Present value = $100000

Future value = $120000

With the above information, we can use the Excel calculator to solve further. To get the monthly payment for the first loan will be:

= pmt(rate, nper, pv,fv)

= pmt(7%/12,30×12,-100000,120000)

= pmt(0.07/12,360,-100000,120000)

= $566.94

The difference in the monthly payments will be:

= $665.3 - $566.94

= $98.36

Which of the following is an example of ADR? two sisters ask their mother to intervene in a fight to see if one sister improperly borrowed the other sister's sweater an arbitrator decides a dispute between a Target employee and Target, over whether she was paid the correct overtime wage amount two neighbors in a dispute hire a third neighbor who's a lawyer to help them resolve their argument All of the other answers are correct

Answers

Answer:

All of the other answers are correct

Explanation:

Alternative Dispute Resolution (ADR) is the process of  procedure for settling disputes without taking legal actions. Alternative dispute resolutions employed can be  arbitration, mediation, or negotiation.

two sisters ask their mother to intervene in a fight to see if one sister improperly borrowed the other sister's sweater is an example mediation

an arbitrator decides a dispute between a Target employee and Target, over whether she was paid the correct overtime wage amount two neighbors is an example of arbitation

in a dispute hire a third neighbor who's a lawyer to help them resolve their argument is an example mediation

XYZ has an investment worth $56,000. The investment will make a special, extra payment of X to XYZ in 3 years from today. The investment also will make regular, fixed annual payments of $12,000 to XYZ with the first of these payments made to XYZ in 1 year from today and the last of these annual payments made to XYZ in 5 years from today. The expected return for the investment is 12.3 percent per year. What is X, the amount of the special payment that will be made to XYZ in 3 years

Answers

Answer:

The special return will be for 23,330.11 at year 3

Explanation:

we know that the expected return AKA internal rate of return is 12.30 per year

we set up the time-line for the investment:

F0 -56,000 investment

constant return of 12,000 for 5 years.

additional return at F3

F0 + PV of the F3 return + PV of the 12,000 annuity = 0

present value of the annuity:

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

C 12,000.00

time 5

rate 0.123

[tex]12000 \times \frac{1-(1+0.123)^{-5} }{0.123} = PV\\[/tex]

PV $42,937.7486

Present value of the additional return:

56,000 - 42,937.75 = 13,062.25

Now, we know that this is the discounted amount of the nominal return at 12.30% during 3 years:

[tex]\frac{Nominal}{(1 + rate)^{time} } = PV[/tex]

[tex]\frac{Nominal}{(1 + 0.1230)^{5} } = 13,062.25[/tex]

Nominal = 23,330.11

Which statement best describes a business creating an incentive, or a benefit?

Answers

Answer:

B. A restaurant offers a discounted price on a new type of dish.

Explanation:

Here are the options to this question :

Which statement best describes a business creating an incentive?

A. A factory increases production to respond to growing demand.

B. A restaurant offers a discounted price on a new type of dish.

C. A car dealership increases the price on a car when it becomes

more popular

D. A retailer stops carrying a product that doesn't sell well in its

stores

An incentive is a motivation to carry out a particular activity.

If the price of fish is discounted, consumers would be motivated and willing to purchase the fish because of the reduced price

This statement: Accounts receivable on ABC Company's at Dec. 31, 2019 represents 25 % of the Company's total assets is an example of what type of analysis?
A) Vertical Analysis.
B) Horizontal Analysis.
C) Ratio Analysis.
D) None of the above.

Answers

Answer: A) Vertical Analysis.

Explanation:

Vertical Analysis is a method used to analyse the financial statement and it works by converting every entry in a statement to a percentage of the base figure in the statement.

In the Balance Sheet, the base figure will be the total amount of Assets so when any other entry is made a percentage of assets such as was done to the Accounts Receivables of ABC company, this is a Vertical Analysis.

Whenever possible, write on a subject _____.
a. that interests you.b. that you already know something about.c. that you have researched.
d. all of these.

Answers

Answer: d. All of these

Explanation:

When writing on a particular subject or topic, it's important to write on some things that interests you about what you're writing on, what you already know something about and what you have researched.

All the three options are vital if one wants to pay vivid attention to the subject that one is writing on. Having a previous knowledge gives one an advantage as one will be able to write on the subject well.

The possibility of incurring a loss is called?

Answers

risk or financial loss ...

When is the acquisition program baseline prepared?

Answers

Answer:

The Acquisition Program Baseline (APB) is developed by the Program Manager (PM) before the initiation of a program for all Acquisition Category (ACAT) programs and depicts the current condition of a program.

Explanation:

The program manager creates the acquisition program baseline. It is created before the start of the program and accurately represents the program's conditions.

What is the importance of acquisition program?

An agreement between the Program Manager (PM) and the Milestone Decision Authority (MDA) that documents the program's cost, schedule, and performance baselines.

It serves as the fundamental binding agreement between the Milestone Decision Authority (MDA), the Component Acquisition Executive (if applicable), and the Program Executive. It is developed before the program's start and appropriately portrays the program's conditions.

It also allows the program manager to compare the program's goals to the formal baseline. The Acquisition Program Baseline (APB) is created by the Program Manager (PM) prior to the start of any Acquisition Category (ACAT) program and shows the current state of the program.

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Last year, Jackson borrowed $20,000 to buy a preowned boat. He repaid the principal of the loan plus $2750 interest after only 1 year. This year, his brother Henri borrowed $15,000 to buy a car and expects to pay it off in only 1 year plus interest of $2295. The rate that each brother paid for his loan is ___ %

Answers

Answer:

Jackson 13.75%

Henri 15.3%

Explanation:

Interest = principal x rate x year

Jackson

$2750  = $20,000 x rate x 1

divide both sides by $20,000

rate = 0.1375 = 13.75%

Henri

$2295 = $15,000 x rate x 1

divide both sides by $15,000

Rate = 0.153 = 15.3%

Citizens of the country of Heehaw produce hay and provide entertainment services (banjo playing). In one year they produced $15 million worth of hay, with $11 million consumed domestically and the other $4 million sold to neighboring countries. They provided $7 million worth of banjo-playing services, $5 million in Heehaw, and $2 million in neighboring countries. They purchased $6 million worth of soda pop from neighboring countries. Calculate the magnitudes of GNP, GDP, net factor payments from abroad, net exports, and the current account balance.

Answers

Answer:

GNP can be taken as the total output produced by the citizens.

GNP = Worth of hay + worth of harp music service

GNP = $15 million + $7 million

GNP = $22 million.

GDP can be seen as the total output produced in the country.

GDP = Worth of hay + worth of harp music service in the country

GDP = $15 million + $5 million

GDP = $20 million

Net factor payment from abroad is the difference between GNP and GDP.

Net factor payment from abroad= GNP - GDP

= $22 million - $20 million

= $2 million

Net exports = Hay sold abroad - Imports of soda pop

Net exports = $4 million - $6 million

Net exports = -$2 million

As the harp music played in abroad will not be included in GDP and thus it is not included in net exports

Current Account balance = Net exports + Net factor payments

Current Account balance = -$2 million +$2 million

Current Account balance = $0

Gross Domestic Product (GDP) measures the amount of goods and services that the final product — that is, those purchased by the end-user — produced in the country over a period of time (that is quarter or year).

What is the difference between GNP and GDP?

GDP measures the amount of goods and services produced within national borders, by citizens and non-citizens alike. The GNP measures the amount of goods and services produced by citizens both domestically and abroad.

As per the given information:

Calculation of GNP:

[tex]\rm\,GNP = Worth \;of \;hay + Worth \;of \;harp \;music \;service\\\\GNP = \$15 million + \$7 million\\\\GNP = \$22 million.[/tex]

Calculation of GDP:

[tex]\rm\, GDP = Worth\; of \;hay + Worth \;of \;harp\; music\; service\; in \;the\; country\\\\GDP = \$15 million + \$5 million\\\\GDP = \$20 million[/tex]

Net factor payment from abroad is the difference between GNP and GDP:

[tex]\rm\,Net \;factor \;payment \;from\; abroad = GNP - GDP\\\\\rm\,Net \;factor \;payment \;from\; abroad = \$22 million - \$20 million\\\\\rm\,Net \;factor \;payment \;from\; abroad = \$2 \;million[/tex]

Calculation of net exports:

[tex]\rm\,Net\; exports = Hay\; sold \;abroad - Imports \;of \;soda\; pop\\\\Net\; exports = \$4\; million - \$6 \;million\\\\Net \;exports = -\$2\; million[/tex]

Harp music played abroad will not be included in GDP and therefore it is not included in net exports.

[tex]\rm\,Current \;Account\; balance = \;Net \;exports + Net\; factor \;payments\\\\Current \;Account \;balance \;= -\$2 \;million +\$2\; million\\\\Current\; Account\; balance = \$0[/tex]

Hence, with the given information we have calculated GNP, GDP. net factor payment, net exports, and current account balance.

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At the beginning of 2018, VHF Industries acquired a equipment with a fair value of $9,112,050 by issuing a four-year, noninterest-bearing note in the face amount of $12 million. The note is payable in four annual installments of $3 million at the end of each year. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: 1. What is the effective rate of interest implicit in the agreement? 2. to 4. Prepare the necessary journal entry. 5. Suppose the market value of the equipment was unknown at the time of purchase, but the market rate of interest for notes of similar risk was 11%. Prepare the journal entry to record the purchase of the equipment.

Answers

Answer:

1) we can use the present value of an ordinary annuity formula to calculate the effective interest rate:

present value = annual payment x PV annuity factor (%, 4 periods)

9,112,050 = 3,000,000 x PV annuity factor (%, 4 periods)

PV annuity factor (%, 4 periods) = 9,112,050 / 3,000,000 = 3.03735

using a present value table, the % for 4 periods = 12%

2 to 4) January 2, 2018, equipment purchased by issuing non-interest-bearing note

Dr Equipment 9,112,050

Dr Discount on notes payable 2,887,950

    Cr Notes payable 12,000,000

December 31, 2018, first installment paid on notes payable

Dr Notes payable 3,000,000

Dr Interest expense 1,093,446

    Cr Cash 3,000,000

    Cr Discount on notes payable 1,093,446

   

interest expense = 9,112,050 x 12% = 1,093,446

December 31, 2019, second installment paid on notes payable

Dr Notes payable 3,000,000

Dr Interest expense 864,660

    Cr Cash 3,000,000

    Cr Discount on notes payable 864,660

interest expense = 7,205,496 x 12% = 864,659.52 ≈ 864,660

December 31, 2020, third installment paid on notes payable

Dr Notes payable 3,000,000

Dr Interest expense 608,419

    Cr Cash 3,000,000

    Cr Discount on notes payable 608,419

interest expense = 5,070,156 x 12% = 608,418.72  ≈ 608,419

December 31, 2021, fourth installment paid on notes payable

Dr Notes payable 3,000,000

Dr Interest expense 321,425

    Cr Cash 3,000,000

    Cr Discount on notes payable 321,425

5) present value of equipment = 3,000,000 x 3.1024 (PV annuity factor, 115, 4 periods) = 9,307,200

Dr Equipment 9,307,200

Dr Discount on notes payable 2,692,800

    Cr Notes payable 12,000,000

a. What will the operating profit be? b. What is the impact on operating profit if the sales price decreases by 10 percent? Increases by 20 percent? c. What is the impact on operating profit if variable costs per unit decrease by 10 percent? Increase by 20 percent? d. Suppose that fixed costs for the year are 10 percent lower than projected, and variable costs per unit are 10 percent higher than projected. What impact will these cost changes have on operating profit for the year? Will profit go up? Down? By how much?

Answers

Answer:

a. Operating Profit will be;

= Sales - Costs

= (270 - 120 ) * 5,000 - 300,000

= $450,000

b. Sales price increases by 20% = 270 * ( 1 + 20%)

= $324

Sales price decreases by 10% = 270 * ( 1 - 10%)

= $243

Operating profit if price decreases;

= (243 - 120 ) * 5,000 - 300,000

= $315,000

Operating profit if price increases;

= ( 324 - 120) * 5,000 - 300,000

= $720,000

c. Variable cost increases by 20% = 120 * ( 1 + 20%)

= $144

Variable Cost decreases by 10% = 120 * ( 1 - 10%)

= $108

Operating profit if variable cost decreases;

= (270 - 108 ) * 5,000 - 300,000

= $510,000

Operating profit if variable cost increases;

= ( 270 - 144 ) * 5,000 - 300,000

= $330,000

d. Fixed costs lower by 10% = 300,000 8 ( 1 - 10%)

= $270,000

Variable costs increase higher by 10% = 120 * ( 1 + 10%)

= $132

= (270 - 132) * 5,000 - 270,000

= $420,000

Operating profit will be down by $30,000 as a result of a 10% increase in variable costs and a 10% decrease fixed costs.

You have just received notification that you have won the $2.5 million first prize in the Centennial Lottery. However, the prize will be awarded on your 100th birthday (assuming you're around to collect), 63 years from now. What is the present value of your windfall if the appropriate discount rate is 7 percent

Answers

Answer:

PV= $35,217,78

Explanation:

Giving the following information:

Future value= $2,500,000

Number of periods= 63 years

Interest rate= 7% compounded annually

To calculate the value of the prize today, we need to use the following formula:

PV= FV/(1+i)^n

PV= 2,500,000 / (1.07^63)

PV= $35,217,78

Bob deposits the amount of $115 in his bank account today, and plans to deposit the amount of $150 in the same account one year from today, and finally plans to deposit the amount of $225 in the same account two years from now. If the interest rate is 7.65%, how much will Bob have accumulated in his account three years from today

Answers

Answer:$559.50

Explanation:

Using the formula

PV   x (1 + r) ^ n = FV

where PV= Present value

  r= rate

 n=number of years

  FV= Future value

a) Future value to earn in 3 yrs for amount of $115

115 x (1+7.65%) ^3 =  $143.463

b) Future value to earn in 2 yrs for amount of $150

150 x (1+7.65%) ^2=  $173.8278

c)Future value to earn in 1 year for amount of $225

225 x (1+7.65%) ^1=   $242.2125

Total Amount Accumulated in three years =   $143.463 + $173.8278+  $242.2125 =$559.5033 = $559.50

Q2. A firm is currently using 12 machines, each machine is capable of producing 100 units of output. It anticipates that by the end of the year, 3 of its machines will wear out. - If it expects to sell 1600 units next year, how many machines will it buy?

Answers

Answer:

it should be 7 units

Explanation:

if 3 machines will wear out, they have 9 machines instead of 12, 9×100 each is 900

they still need 700 to get to 1600, so 700 divided by 100 per machine is 7 machines that they need to buy

Lake Power Sports sells jet skis and other powered recreational equipment. Customers pay 1/3 of the sales price of a jet ski when they initially purchase the ski, and then pay another 1/3 each year for the next two years. Because Lake has little information about collectibility of these receivables, they use the installment method for revenue recognition. In 2010 Lake began operations and sold jet skis with a total price of $900,000 that cost Lake $450,000. Lake collected $300,000 in 2010, $300,000 in 2011, and $300,000 in 2012 associated with those sales. In 2011 Lake sold jet skis with a total price of $1,500,000 that cost Lake $900,000. Lake collected $500,000 in 2011, $400,000 in 2012, and $400,000 in 2013 associated with those sales. In 2013 Lake also repossessed $200,000 of jet skis that were sold in 2011. Those jet skis had a fair value of $75,000 at the time they were repossessed.
A) In 2010, Lake would recognize realized gross profit of:_____.
a. $0.
b. $450,000.
c. $300,000.
d. $150,000.
B) In 2012, Lake would recgonize a realized gross profit of:_____.
a. $700,000.
b. $310,000.
c. $450,000.
d. $0.
C) In 2013, Lake would record a lost on repossessions of:_______.
a. $80,000.
b. $45,000.
c. $200,000.
d. $120,000.
D) In its December 31, 2011, balance sheet, Lake would report:______.
a. deferred gross profit of $700,000.
b. installement receivables (net) of $900,000.
c. installment receivables (net) of $750,000.
d. deferred gross profit of $1,500,000.

Answers

Answer:

1) In 2010, Lake would recognize realized gross profit of:______.

a) $0.

Revenue for calculating gross profit is only recognized when the cost of goods sold (COGS) has been fully recovered.

2) In 2012, Lake would recognize a realized gross profit of:_______.

c) $450,000.

gross profit related to 2010 sales = $900,000 - $450,000 (remaining COGS) = $450,000

gross profit related to 2011 sales = $900,000 - $900,000 = $0

3) In 2013, Lake would record a lost on repossessions of:______.

c) $200,000.

4) In its December 31, 2011, balance sheet, Lake would report:_______.

b) installment receivables (net) of $900,000.

total installments receivables = $300,000 + $1,000,000 = $1,300,000

remaining COGS from 2011 sales = $400,000

installment receivables (net) = $1,300,000 - $400,000 = $900,000

Washington Inc. issued $846,000 of 6%, 20-year bonds at 98 on January 1, 2009. Through January 1, 2017, Washington amortized $9,840 of the bond discount. On January 1, 2017, Washington Inc. retired the bonds at 102 (after making the interest payment on that date). What is the gain or loss that Washington Inc. would report for the retirement of this bond

Answers

Answer:

Bond discount at the issuance of bond = $846,000 - ($846,000/100 *98)

Bond discount at the issuance of bond  = $846,000- $829,080

Bond discount at the issuance of bond = $16920

Bond Payable = $846,000

Un-amortized bond discount = $16,920 - $9,840

Un-amortized bond discount = $7,080

Redemption Value of Bond = 102/100 * $846,000

Redemption Value of Bond = $ 862,920

Loss on retirement on Bond = Redemption Value of Bond - (Bond Payable - Un-amortized bond discount)

Loss on retirement on Bond = $862,920 - ($846,000 - $7,080)

Loss on retirement on Bond = $862,920 - $838,920

Loss on retirement on Bond = $24,000

Landmark Corp. buys $300,000 of Schroeter Company's 8% five-year bonds payable at par value on September 1. Interest payments are made semiannually.
Landmark plans to hold the bonds for the five year life.
The journal entry to record the purchase should include:__________.
A) A debit to Long-Term Investments-AFS $300,000.
B) A debit to Short-Term Investments-Trading $300,000.
C) A debit to Long-Term Investments-HTM $300,000.
D) A debit to Short-Term Investments-AFS $300,000.
E) A debit to Cash $300,000.

Answers

Answer: A debit to Long-Term Investments-HTM $300,000

Explanation:

A journal entry is the act of making records of the transactions that takes place and such transactions typically shows the debit and credit balance of the company.

From the question, we are informed that Landmark Corp. buys $300,000 of Schroeter Company's 8% five-year bonds payable at par value on September 1. Interest payments are made semiannually and that Landmark plans to hold the bonds for the five year life.

The journal entry to record the purchase should include a debit to Long-Term Investments-HTM $300,000.

Tyler Apiaries sells bees and beekeeping supplies. Bees​ (including a​ queen) are shipped in special packages according to weight. Suppose Tyler changes its processes so that the average package weight is 1.9​kg, with a new standard deviation of0.14 kg. Tyler markets the packages of bees as weighing 1.8 ​kg, and the lower and upper tolerance limits are 1.1 kg and 2.5 ​kg, respectively. Calculate the process capability index for the weight of the bee packages. Is Tyler able to meet the tolerance​ limits?

Answers

Answer: 0.143

Explanation:

Given the following :

Average package weight(m) = 1.9kg

Standard deviation(sd) = 1.4kg

Upper Tolerance Limit (UTL) = 2.5kg

Lower Tolerance limit (LTL) = 1.1kg

Cpk = min[( average weight -Lower Tolerance Limit / 3 (standard deviation) , (UTL- average weight / 3(Standard Deviation)]

Cpk = min[( 1.9 - 1.1 / 3 (1.4)) , (2.5 - 1.9 / 3(1.4))]

Cpk = min[(0.8 / 4.2), (0.6 / 4.2)]

Cpk = min[0.190, 0.143])

Hence,

Process capability index = 0.143

In one year the sales of a company increase at a constant rate. At 2 months the company sells 12 products, and after 8 months the company sells 30,000 products. (At t-0, the company does not necessarily have 0 sales)
a. Write an equation to model the situation.
b. If the company's sales continue to increase at the same rate, how long would it take before the company reached 145,000 sales? (Calculator permitted-round to 3 decimal places)

Answers

Answer:

The answer is below

Explanation:

a) Since sales of the company increases at a constant rate, it means that the function is a linear function. Let the time in months be the independent variable x and the sales be the dependent variable y. It can be represented as (x, y)

At 2 months the company sells 12 products, this can be represented by (2, 12). Also after 8 months the company sells 30,000 products, this can be represented by (8, 30000). The formula for a linear function is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Using (2, 12) and (8, 30000):

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-12=\frac{30000-12}{8-2}(x-2)\\ \\y-12=4998(x-2)\\\\y-12=4998x-9996\\\\y=4998x-9984[/tex]

b) For a sales of 145000, i.e y = 145000

y  = 4998x - 9984

145000 = 4998x - 9984

4998x = 145000 + 9984

4998x = 154984

x = 31.009

It would take about 31.009 months to make a sales of 145000