Suppose you win the Publishers Clearinghouse $10 million sweepstakes. The money is paid in equal annual end-of-year installments of $333,333.33 over 30 years. If the appropriate discount rate is 5%, how much is the sweepstakes actually worth today

Answers

Answer 1

Answer:

the actual worth today is  $5,124,150.29

Explanation:

The computation of the actual worth today is as follows:

= (Year end annual payments) ÷ (rate of interest) × (1 - (1 + rate of interest)^-time period

= ($333,333.33) ÷0.05 × (1 - (1 + 0.05)^-30

= $5,124,150.29

hence, the actual worth today is  $5,124,150.29

The above formula should be applied


Related Questions

Terp Corp.'s transactions for the year ended December 31, 2021 included the following: Purchased real estate for $1,250,000 cash which was borrowed from a bank. Sold investment securities for $1,000,000. Paid dividends of $1,200,000. Issued 500 shares of common stock for $500,000. Purchased machinery and equipment for $250,000 cash. Paid $900,000 toward a bank loan. Reduced accounts receivable by $200,000. Increased accounts payable $400,000. The net cash used in financing activities for 2021 was

Answers

Answer:

$1,600,000

Explanation:

Cashflow from financing activities

Dividends                                 ($1,200,000)

Issue of Stocks                            $500,000

Bank Loan Repayment             ($900,000)

Net Cash flow                          ($1,600,000)

thus

The net cash used in financing activities for 2021 was $1,600,000

Assume that interest rate parity (IRP) exists. You expect that the one-year nominal interest rate in the U.S. is 7%, while the one-year nominal interest rate in Australia is 11%. The spot rate of the Australian dollar is $0.60. You will need 10 million Australian dollars in one year. Today, you purchase a one-year forward contract in Australian dollars. How many U.S. dollars will you need in one year to fulfill your forward contract

Answers

Answer:

US $5,784,000

Explanation:

As per interest rate parity, forward rate = Spot rate*(1+Interest rate U.S.)/(1+interest rate Australia)

= 0.60*(1.07)/(1.11)

= 0.5784 /A$

Australian Dollars required in one year = 10,000,000

U.S. Dollars required = 10,000,000 * 0.5784 /A$

U.S. Dollars required = $5,784,000

So, the number of U.S. dollars you will need in one year to fulfill the forward contract is 5,784,000.

Jett Corp. had 600,000 shares of common stock outstanding on January 1, issued 900,000 shares on July 1, and had income applicable to common stock of $1,837,500 for the year ending December 31, 2007. Earnings per share of common stock for 2007 would be:_____.
a. $1.05.
b. $.50.
c. $.60.
d. $.70.
e. $.84.

Answers

Answer:

the earning per share is $2.45

Explanation:

The computation of the earning per share is given below;

= Net income ÷ outstanding shares

= ($1,837,500) ÷ (600,000 shares + 900,000 shares) ÷ 2

= $1,837,500 ÷ 750,000

= $2.45

hence, the earning per share is $2.45

This is the correct answer but the same is not provided in the given options

Ten years ago, Lucas Inc. earned $0.50 per share. Its earnings this year were $2.20. What was the growth rate in earnings per share (EPS) over the 10-year period?

Answers

Answer:

they will earn 5$ eps over the 10 year period

Explanation:

hope it helps

Dean Company has sales of $163,000, and the break-even point in sales dollars is $102,690. Determine the company's margin of safety percentage. Round answer to the nearest whole number. fill in the blank 1 %

Answers

Answer:

37%

Explanation:

The Dean company has sales of $163,000

The break even point in sales dollars is $102,690

Therefore, the company's margin of safety can be calculated as follow;

Margin of safety = (Sales - Break even sales ) / Sales

Margin of safety = ($163,000 - $102,690) / $163,000

Margin of safety = $60,310 / $163,000

Margin of safety = 0.37 × 100

Margin of safety = 37%

Alberton Electronics makes inexpensive GPS navigation devices and uses a normal cost system that applies overhead based on machine hours. The following current year budgeted data are available:

Variable factory overhead at 100,000 machine hours $2,750,000
Variable factory overhead at 150,000 machine hours 4,125,000

Fixed factory overhead at all levels between 10,000 and 180,000 machine hours 3,168,000
Practical capacity is 180,000 machine hours; expected capacity is two-thirds of practical.

Required:
a. What is Alberton Electronics’ predetermined VOH rate?
b. What is the predetermined FOH rate using practical capacity?
c. What is the predetermined FOH rate using expected capacity?
d. During 2013, the firm records 110,000 machine hours and $2,710,000 of overhead costs. How much variable overhead is applied? How much fixed overhead is applied using the rate found in (b)? How much fixed overhead is applied using the rate found in (c)? Calculate the total under- or overapplied overhead for 2013 using both fixed OH rates.

Answers

Answer:

Alberton Electronics

a. Alberton Electronics' predetermined VOH rate = $27.50 ($1,375,000/50,000)

b. The predetermined FOH rate using practical capacity = $17.60 ($3,168,000/180,000)

c. The predetermined FOH rate using expected capacity = $26.40 ($3,168,000/120,000)

d. Variable overhead applied = $3,025,000 (110,000 * $27.50)

Fixed overhead applied using $17.60 FOH rate = $1,936,000 (110,000 * $17.60)

Fixed overhead applied using $26.40 FOB rate = $2,904,000 (110,000 * $26.40)

The Total under-or applied overhead for 2013:

a) Overapplied overhead = $2,251,000 ($4,961,000 - $2,710,000)

b) Overapplied overhead = $3,219,000

Explanation:

a) Data and Calculations:

Variable factory overhead at 100,000 machine hours $2,750,000

Variable factory overhead at 150,000 machine hours 4,125,000

Difference = 50,000 machine hours and $1,375,000

Variable overhead rate = $1,375,000/50,000 = $27.50

Fixed factory overhead between 10,000 and 180,000 machine hours = $3,168,000

Practical capacity = 180,000

Expected capacity = 120,000 (180,000 * 2/3)

a. Alberton Electronics' predetermined VOH rate = $27.50 ($1,375,000/50,000)

b. The predetermined FOH rate using practical capacity = $17.60 ($3,168,000/180,000)

c. The predetermined FOH rate using expected capacity = $26.40 ($3,168,000/120,000)

d. Variable overhead applied = $3,025,000 (110,000 * $27.50)

Fixed overhead applied using $17.60 FOH rate = $1,936,000 (110,000 * $17.60)

Fixed overhead applied using $26.40 FOB rate = $2,904,000 (110,000 * $26.40)

The Total under-or applied overhead for 2013:

a) Total overhead applied = $4,961,000 ($3,025,000 + $1,936,000)

Overapplied overhead = $2,251,000 ($4,961,000 - $2,710,000)

b) Total overhead applied = $5,929,000 ($3,025,000 + $2,904,000)

Overapplied overhead = $3,219,000 ($5,929,000 - $2,710,000)

Sun Co. was constructing fixed assets that qualified for interest capitalization. Sun had the following outstanding debt issuances during the entire year of construction: $6,000,000 face value, 8% interest $8,000,000 face value, 9% interest None of the borrowings were specified for the construction of the qualified fixed asset. Average expenditures for the year were $1,000,000. What interest rate should Sun use to calculate capitalized interest on the construction

Answers

Answer:

the interest rate that should be determined the capitalized interest is 8.57%

Explanation:

The computation of the interest rate that should be determined the capitalized interest is shown below;

= $6,000,000 ÷ ($6,000,000 + $8,000,000) × 0.08 + $8,000,000 ÷  ($6,000,000 + $8,000,000) × 0.09

= 0.0857

= 8.57%

Hence, the interest rate that should be determined the capitalized interest is 8.57%

The same would be considered

Consumers know that some fraction x of all new cars produced and sold in the market are defective. The defective ones cannot be identified except by those who own them. Cars do not depreciate with use. Consumers are risk-neutral and value nondefective cars at $10,000 each. New cars sell for $8,000 and used ones for $2,000. (Note that since buyers are risk-neutral, the price of a new car reflects the expected value of purchasing a car that may or may not be defective.)What is the fraction x?Instructions: Enter x as a number rounded to two decimal places. For example, if x = 1/3 enter 0.33.

Answers

Answer:

0.25

Explanation:

Given :

The [tex]$\text{consumers value}$[/tex] the non defective cars = [tex]$\$ 10,000$[/tex]

We will consider all the defective [tex]$\text{ cars are used cars}$[/tex] only. This is only because the value of the used car is $ 2000 and it is lower than the price of a good car that is $10,000. Thus only defective cars are being sold as the old cars.

For a risk neutral customer, the price that he is ready to give for the new car is the reservation price of a non defective car. It means that (the amount of $ 8000 is the value of the good car x chances of getting a good car) +( the value of the bad car x chances of getting a bad car).

Since we know that x is the fraction of all the cars sold in the market are defective, it means that the fraction of the good cars is 1 - x. Thus putting the values,

[tex]$x\times 2000+(1-x)\times 10000=8000$[/tex]

[tex]$10000-8000x=80000$[/tex]

[tex]$8000x=2000$[/tex]

[tex]$x=\frac{2}{8}$[/tex]

  = 0.25

Thus the value of :

[tex]$x=\frac{2}{8} = 0.25$[/tex]

A new accountant, Costa Goodsold, put together a preliminary version of Medina Co.'s financial statements. Medina's Net Income was $500, its Depreciation Expense was $100, and its Cash Flow from Operations was $70. The CEO found an error that Costa made in computing straight-line Depreciation Expense, which should have been $50. What is Medina's Cash Flow from Operations after fixing this mistake

Answers

Answer:

the cash flow from operation after fixing the mistake is $20

Explanation:

The computation of the cash flow from operation after fixing the mistake is as follows;

Cash flow from operations $70

Less; Depreciation expense -$100

Add: Depreciation expense $50

Net Cash flow from operations $20

Hence, the cash flow from operation after fixing the mistake is $20

The same is to be considered and relevant

Sam has two jobs, one for the winter and one for the summer. In the winter, he works as a lift attendant at a ski resort where he earns $13 per hour. During the summer, he drives a tour bus around the ski resort, earning $11 per hour. Assume that Sam has an upward-sloping labor supply curve. If the opportunity cost of Sam's leisure time increases, he will respond by working:__________

Answers

Answer:

more hours

Explanation:

Opportunity cost of the next best option forgone when one alternative is chosen over other alternatives

time is a limited resource that has to be shared between work and leisure. If the opportunity cost of leisure increases, it means he is giving up more work to rest. As a result, he would increase his work hours

Bethany’s regular hourly wage rate is $12, and she receives an hourly rate of $18 for work in excess of 40 hours. During a January pay period, Bethany works 50 hours. Bethany’s federal income tax withholding is $99, and she has no voluntary deductions. Compute Bethany’s gross earnings and net pay for the pay period. Assume that the FICA tax rate is 7.65%.

Answers

Answer and Explanation:

The computation of the gross earnings and the net pay is shown below;

Gross pay = Regular pay + Overtime pay

= (40 × $12) + (50 - 40) × $18

= $480 + $180

= $660

 Net pay = Gross pay - FICA taxes - Federal income taxes withholding

= $660 - ($660 × 7.65%) - $99

= $510.51

Hence, the same is to be considered and relevant

If markets are in equilibrium, which of the following conditions will exist? a. Each stock's expected return should equal its realized return as seen by the marginal investor. b. Each stock's expected return should equal its required return as seen by the marginal investor. c. All stocks should have the same expected return as seen by the marginal investor. d. The expected and required returns on stocks and bonds should be equal. e. All stocks should have the same realized return during the coming year.

Answers

Answer:

a

Explanation:

Equilibrium is a market exists when quantity demanded equals the quantity supplied. At equilibrium, demand equals supply. Above equilibrium there is a surplus and below equilibrium there is scarcity.

When there is equilibrium in the stock market, each stock's expected return should equal its realized return as seen by the marginal investor

If there is a surplus in the stock market, realized return would be greater than expected return

If there is a scarcity in the stock market, expected return would be greater than realized return

g Suppose a bond is priced at $1035, has 12 years remaining until maturity, and has a 12% coupon, paid monthly. What is the amount of the next interest payment (in $ dollars)

Answers

Answer:

$10

Explanation:

As the bond is priced at $1035, the par value is $1000.

Calculation of the amount of the next interest payment

= Par value * Coupon rate/12

= $1000 * 12%/12

= $1000 * 1%

= $10

So, the amount of the next interest payment is $10.

Which structure is used to supply customers (often other MNEs) in a coordinated and consistent way across various countries

Answers

Answer:

Global account structure.

Explanation:

Global account structure can be regarded as structure that enables the account that has been globally standardised or having compatible products as well as services in various locations at internationally level. Global Account Management enables Global account managers to navigate along with their teams the internal as well as external challenges. It should be noted that structure used to supply customers (often other MNEs) in a coordinated and consistent way across various countries is Global account structure.

Assuming that the term structure of interest rates is determined as posited by the pure expectations theory, which of the following statements is CORRECT? a. Inflation is expected to be zero. b. Consumer prices as measured by an index of inflation are expected to rise at a constant rate. c. The maturity risk premium is assumed to be zero. d. In equilibrium, long-term rates must be equal to short-term rates. e. An upward-sloping yield curve implies that future short-term rates are expected to decline.

Answers

Answer:

c. The maturity risk premium is assumed to be zero.

Explanation:

In the case when the term structure of the rate of interest would be measured via the pure expectations theory so here the maturity risk premium would be zero as under this theory it is assumed that the risk premium i.e. of the long term would be equivalent to the zero

Therefore the option c is correct

And, the rest of the options seems wrong

The balance in retained earnings at December 31, 2020 was $1440000 and at December 31, 2021 was $1168000. Net income for 2021 was $1008000. A stock dividend was declared and distributed which increased common stock $499000 and paid-in capital $99000. A cash dividend was declared and paid.
The amount of the cash dividend was:___________
a) $381000.
b) $781000.
c) $682000.
d) $1280000.

Answers

Answer:

C. $682,000

Explanation:

Given the above information, the computation of cash dividend is seen below;

Beginning retained earnings (2020) + net income - Stock dividend - Cash dividend = Retained earnings

$1,440,000 + $1,008,000 - ($499,000 + $99,000) - Cash dividend = $1,168,000

$2,448,000 - $598,000 - Cash dividend = $1,168,000

Cash dividend = $2,448,000 - $598,000 - $1,168,000

Cash dividend = $682,000

What do you think happens to the price of an object as it goes through a large number of intermediaries?

Answers

Because the manufacturer is also the entity selling the good or service, prices tend to be lower in a direct distribution channel. Indirect channels, on the other hand, generally see higher prices because of the number of intermediaries involved. The more there are, the higher the price.

A city government adds streetlights within its boundaries at a total cost of $300,000. These lights should burn for at least 10 years but can last significantly longer if maintained properly. The city develops a system to monitor these lights with the goal that 97 percent will be working at any one time. During the year, the city spends $48,000 to clean and repair the lights so that they are working according to the specified conditions. The city also spends another $78,000 to construct lights for several new streets. Prepare the entries assuming infrastructure assets are capitalized with depreciation recorded on government-wide financial statements. Prepare the entries assuming infrastructure assets are capitalized with government using the modified approach on government-wide financial statements.

Answers

Answer: See explanation

Explanation:

a. Prepare the entries assuming infrastructure assets are capitalized with depreciation recorded on government-wide financial statements.

1. Debit: Infrastructure assets—street lights $300,000

Credit: Cash $300,000

(To record cash purchase of street light

2. Debit: Depreciation expense $300,000/10 = $30,000

Credit: Accumulated depreciation—infrastructure assets $30,000

(To record depreciation expense)

3. Debit: Maintenance expense—infrastructure assets $48000

Credit: Cash $48000

(To record maintenance expense)

4. Debit: Infrastructure assets—street lights $78000

Credit: Cash $78000

(To record cash expense for new light)

b. Prepare the entries assuming infrastructure assets are capitalized with government using the modified approach on government-wide financial statements.

1. Debit: Infrastructure assets—street lights $300,000

Credit: Cash $300,000

(To record purchase of street light)

2. Debit: Maintenance expense—infrastructure assets $48000

Credit: Cash $48000

(To record maintenance expense)

3. Debit: Infrastructure assets—street lights $78000

Credit: Cash $78000

(To record cash expense for new light)

Diego owns 1,000 shares of Carmen. If Carmen Company issues an additional 100,000 shares of common stock, how many additional shares does Diego have the opportunity to buy

Answers

Answer:

Number of additional shares Diego has the opportunity to buy is 500 shares.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Carmen Company has the following equity amounts and no dividends in arrears.

Preferred stock, $1,000 par             $24 million

Common stock, $100 par                 $20 million

Paid-in capital in excess of par        $36 million

Retained earnings                             $18 million

Diego owns 1,000 shares of Carmen. If Carmen Company issues an additional 100,000 shares of common stock, how many additional shares does Diego have the opportunity to buy?

a. 500   b. 1,000   c. 2,000   d. 3,000

The explanation of the answer is now given as follows:

Current number of Carmen's Common stock shares outstanding = Common stock value / Common stock par value = $20,000,000 / $100 = 200,000 shares

Current percentage of Diego ownership in Carmen = Current number of Diego;s shares / Current number of Carmen's Common stock shares outstanding = 1,000 / 200,000 = 0.005, or 0.50%

Number of additional shares Diego has the opportunity to buy = Number of additional shares Camen wants to issue * Current percentage of Diego ownership in Carmen = 100,000 * 0.50% = 500 shares

Roberto Corporation was organized on January 1, 2021. The firm was authorized to issue 84,000 shares of $5 par common stock. During 2021, Roberto had the following transactions relating to shareholders' equity: Issued 10,800 shares of common stock at $6.00 per share. Issued 20,400 shares of common stock at $8.20 per share. Reported a net income of $108,000. Paid dividends of $59,000. Purchased 3,100 shares of treasury stock at $10.20 (part of the 20,400 shares issued at $8.20). What is total shareholders' equity at the end of 2021

Answers

Answer:

$249,460

Explanation:

Calculation to determine the total shareholders' equity at the end of 2021

Issued of stock $64,800

(10,800 shares * $6.00 per share)

Issued of stock $167,280

(20,400 shares * $8.20 per share)

Net income $108,000

Less dividends ($59,000)

Less Treasury stock $31,620

( 3,100 shares* $10.20)

Total shareholders' equity $249,460

Therefore total shareholders' equity at the end of 2021 is $249,460

When suppliers collaborate with the firm overall performance has been known to improve up to _________

Answers

Hi, you've asked an incomplete question. Answered from a general business perspective.

Explanation:

Note, a firm may measure its overall performance using some of the metrics below:

amount of sales in dollarsthe total cost of production,production capacity, etc.

Only when the firm's suppliers are reliable, affordable, and efficient, would the firm be able to meet their product demand.

65 employees have earned two weeks of vacation time to be taken the following year. If the average weekly salary for these employees is $900, what is the required journal entry to accrue compensated absences

Answers

Answer: Debit Salaries and Wages Expense $117000

Credit Salaries and Wages Payable $117000

Explanation:

Based on the information given in the question, the required journal entry to accrue compensated absences will be as follows:

First, we need to know the amount of the compensated absence which will be:

= 65 employees × $900 × 2 Weeks vacation

= $117000

Therefore, the journal entry is:

Debit Salaries and Wages Expense $117000

Credit Salaries and Wages Payable $117000

4 types of market efficiency measures.​

Answers

Answer:

Information arbitrage efficiency. ...

Fundamental valuation efficiency. ...

Full insurance efficiency. ...

Functional/Operational efficiency. ...

Mark as brainliest

On January 12, 2021, Jefferson Corporation purchased bonds of Rose Corporation for $77 million at par and classified the securities as available-for-sale. On December 31, 2021, these bonds were valued at $72 million. Nine months later, on October 3, 2022, Jefferson Corporation sold these bonds for $93 million.

As part of the multistep approach to record the 2022 transaction Jefferson Corporation should next take the second step of:________

a. Reversing total accumulated unrealized holding gains of $25 milion.
b. Reversing total accumulated unrealized holding gains of $18 milion
c. Reversing total accumulated unrealized holding gains of S7 million
d. Reversing total accumulated unrealized holding gains of $11 milion

Answers

Answer:

a

Explanation:

Palmer Corp. is considering the purchase of a new piece of equipment. The cost savings from the equipment would result in an annual increase in net income after tax of $179,850. The equipment will have an initial cost of $545,000 and have a 7 year life. If the salvage value of the equipment is estimated to be $34,000, what is the accounting rate of return

Answers

Answer:

So, accounting rate of return = 33 %

Explanation:

given data

net income after tax = $179,850

initial cost = $545,000

time = 7 year

salvage value = $34,000

we will get here  the accounting rate of return

solution

as we know that accounting rate of return is express as

accounting rate of return = Net income ÷ initial investment    .................1

put here value and we get

accounting rate of return = [tex]\frac{179850}{545000}[/tex]  

So, accounting rate of return = 33 %

Hillary considers herself a shrewd commodities investor. She bought a May cotton contract​ (50,000 pounds) at a​ pound, and later sold it at a pound. What were her profit and her return on invested capital if her initial margin was and the size of a cotton futures contract is​ 50,000 pounds of​ cotton?

Answers

Answer: See explanation

Explanation:

Based on the information given in the question, the profit will be calculated as:

Profit = (Selling price - Buying Price) × Size

= ($0.6485 - $0.6264)*50,000

= $0.0221 × 5000

= $1,105

Then, the return on the invested capital will be:

= Profit/Initial Margin

= 1105/1060

= 1.0425

= 104.25%

help asap please:)))!!!

Answers

Answer:

number 4

Explanation:

i used a calculator

1) If you believe in the reversal effect, you should buy stocks that performed well last period. (10points) a. True. b. False

Answers

Answer:

False.

Explanation:

The reversal effect is a theory in the field of business and investment that establishes that markets move in an oscillating way, that is, with constant ups and downs, which occur in reverse: if a share rises in a day set of days, the most logical and expected thing is that it comes down proportionally.

Thus, according to this theory, the performance of a market instrument is determined by its ability to maintain value at times of decline.

Brief Exercise 18-5 a1-a2 Crane Corp. has collected the following data concerning its maintenance costs for the past 6 months. Units Produced Total Cost July 19,960 $46,020 August 35,488 53,232 September 39,924 60,995 October 24,398 48,965 November 44,360 82,620 December 42,142 68,758 (a1) Compute the variable cost per unit using the high-low method. (Round answer to 2 decimal places, e.g. 2.25.) Variable cost per unit

Answers

Answer:

A.$1.50 per units

B. $16,080

Explanation:

Computation for the variable cost per unit using the high-low method.

Using this formula

Variable cost per unit= High activity cost -Low Activity cost /High activity cost -Low Activity cost

Let plug in the formula

Variable cost per unit=(82,620-$46,020)/(44,360-19,960)

Variable cost per unit=$36,600/$24,400

Variable cost per unit= $1.5 per units

Therefore the variable cost per unit using the high-low method is $1.50 per units

B. Computation for the fixed cost element unit using the high-low method.

Fixed cost element=82,620-(1.50*44,360)

Fixed cost element=82,620-66,540

Fixed cost element=$16,080

Therefore the fixed cost element unit using the high-low method is $16,080

Payton Inc. reports in its Year 7 annual report, sales of $7,362 million and cost of goods sold of $2,945 million. For next year, you project that sales will grow by 3% and that cost of goods sold percentage will be 1 percentage point higher. Projected cost of goods sold for Year 8 will be:

Answers

THe answer is scjkgnsgjnDVDJ

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