Question 3 (13 marks) a. The maturity of a futures contract on a stock market index is 1 year. The multiplier for the futures contract $50. The current level of the index is 30,000. The risk-free rate is 0.5% per month and dividend yield on the stock market index is 0.3% per month. The initial margin requirement is 10%. i. What is the parity value of the futures price now? (3 marks) ii. Assume the futures contract is fairly priced. How much initial margin you need to deposit if you long 1 contract? (2 marks) iii. Calculate the two-month holding-period return for your long position in the futures contract if the stock market index increases to 31,000 two months later. Assume the futures contract keeps being priced fairly. (5 marks) b. William sells six July futures contracts on coffee. Each contract is for the delivery of 37,500 pounds. The current futures price is $2.2565 per pound. The initial margin is $9,900 per contract and the maintenance margin is $9,000 per contract. What is the futures price per pound that would lead a margin call? (3 marks)

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Answer 1

A(i) The parity value of the futures price now is $30,303.03.

  (ii)  You would need to deposit 10% of $1,500,000, which is $150,000, as initial margin.

  (iii) The holding-period return is 0.0128 or 1.28%.

B) The futures price per pound falls to -$1.18, a margin call would be triggered.

i.F = S0 * e^((r-d)*T)where F is the futures price, S0 is the current spot price of the index, r is the risk-free rate, d is the dividend yield, and T is the time to maturity of the futures contract in years.

In this case, F = S0 * e^((r-d)*T) = 30,000 * e^((0.005-0.003)*1) = 30,303.03.Therefore, the parity value of the futures price now is $30,303.03.

ii. The initial margin requirement is 10% of the contract value, which is $50 * 30,000 = $1,500,000. Therefore, if you long 1 contract, you would need to deposit 10% of $1,500,000, which is $150,000, as initial margin.

iii. The two-month holding-period return for a long position in the futures contract can be calculated using the formula:

HPR = (F1 - F0 + D) / (F0 + IM)

where HPR is the holding-period return, F1 is the futures price at the end of the holding period, F0 is the initial futures price, D is the total dividend received during the holding period, and IM is the initial margin.

In this case, F0 = 30,303.03, F1 = 31,000, D = 0.003 * 2 * 30,000 = $1,800, and IM = $150,000.

Therefore, the holding-period return is:

HPR = (31,000 - 30,303.03 + 1,800) / (30,303.03 + 150,000) = 0.0128 or 1.28%.

b. To calculate the futures price per pound that would lead to a margin call, we need to use the formula:

F = (MM - V) / Q

where F is the futures price per pound that would lead to a margin call, MM is the maintenance margin per contract, V is the value of the contract, and Q is the quantity of the underlying asset per contract.

In this case, MM = $9,000, V = $2.2565 * 37,500 = $84,468.75, and Q = 37,500. Therefore,

F = (9,000 - 84,468.75) / 37,500 = -$1.18 per pound.

This means that if the futures price per pound falls to -$1.18, a margin call would be triggered. However, it's worth noting that futures prices cannot be negative in reality, and this is only a theoretical calculation based on the formula.

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Related Questions

Banks are assessed deposit insurance premiums based on the level of insured deposits, yet banks hold significantly more insured than uninsured deposits Why? How is this connected to a bank's liquidity risk and management?

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Banks hold significantly more insured deposits because it helps them manage their liquidity risk. Insured deposits provide a stable funding source that banks can rely on during times of stress.

Additionally, holding more insured deposits can help banks maintain a higher credit rating, which can lower their funding costs. When it comes to deposit insurance premiums, the level of insured deposits is used as a proxy for a bank's overall riskiness.

Banks that hold more insured deposits are generally seen as less risky, and therefore pay lower premiums. However, banks also need to manage their uninsured deposits carefully, as they can be more volatile and potentially cause liquidity problems if a large number of depositors withdraw their funds at the same time.

Overall, banks need to balance their mix of insured and uninsured deposits in order to maintain a stable funding base and manage their liquidity risk effectively.

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janet van dyne is in law enforcement and incurred the following transactions last year.sales price purchase price date purchased date soldcisco preferred stock 25,000 6,000 7/15/2012 1/12/2022dreyer's grand ice cream stock 14,000 10,000 7/1/2020 4/20/2022novell common stock 2,000 10,000 2/12/2017 11/29/2022 stock 4,000 3,000 8/2/2008 5/2/2022abc common 6,000 9,000 8/10/2022 8/20/2022abc common 8,000 12/30/2022prior-year st capital loss carryforward (5,500)prior year lt capital loss carryforward (5,000)what is the 2022 end of year overall capital position? be sure to include character and amount. show your work in order toreceive credit (5pts

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Janet Van Dyne's 2022 end-of-year overall capital position is therefore a net capital loss of ($10,000).

To calculate Janet Van Dyne's 2022 end-of-year overall capital position, we need to determine her capital gains and losses from the sale of securities during the year.

First, let's determine the gain or loss on each sale:

Cisco preferred stock: Proceeds = $25,000, Basis = $6,000, Gain = $19,000

Dreyer's Grand Ice Cream stock: Proceeds = $14,000, Basis = $10,000, Gain = $4,000

Novell common stock: Proceeds = $2,000, Basis = $10,000, Loss = ($8,000)

Stock: Proceeds = $4,000, Basis = $3,000, Gain = $1,000

ABC common stock (sold 8/20/2022): Proceeds = $6,000, Basis = $9,000, Loss = ($3,000)

ABC common stock (sold 12/30/2022): Proceeds = $8,000, Basis = $12,000, Loss = ($4,000)

Next, let's determine the amount of capital loss carryforward that can be applied to offset these gains and losses:

Prior-year short-term capital loss carryforward: ($5,500)

Prior-year long-term capital loss carryforward: ($5,000)

Since the total gains ($24,000) are less than the total losses ($15,000), we can use the entire amount of both capital loss carry forwards to offset the gains, resulting in a net capital loss of ($10,000).

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Therefore, Janet Van Dyne's 2022 year-end total capital position represents a net capital loss of ($10,000).

We must ascertain Janet Van Dyne's capital gains and losses from the year's securities sales in order to compute her overall capital position at year's end in 2022.

Let's first calculate the gain or loss on each sale:

Cisco preferred stock: Proceeds = $25,000, Basis = $6,000, Gain = $19,000

Dreyer's Grand Ice Cream stock: Proceeds = $14,000, Basis = $10,000, Gain = $4,000

Novell common stock: Proceeds = $2,000, Basis = $10,000, Loss = ($8,000)

Stock: Proceeds = $4,000, Basis = $3,000, Gain = $1,000

ABC common stock (sold 8/20/2022): Proceeds = $6,000, Basis = $9,000, Loss = ($3,000)

ABC common stock (sold 12/30/2022): Proceeds = $8,000, Basis = $12,000, Loss = ($4,000)

Next, let's determine the amount of capital loss carryforward that can be applied to offset these gains and losses:

Prior-year short-term capital loss carryforward: ($5,500)

Prior-year long-term capital loss carryforward: ($5,000+5000 = 10,000)

Due to the fact that the overall losses ($15,000) are less than the total profits ($24,000), we may apply the whole amount of both capital loss carry forwards to balance the gains, resulting in a net capital loss of ($10,000).

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43) a customer buying an unfamiliar product that carries a high degree of risk would most likely engage in what type of problem-solving?

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A customer buying an unfamiliar product that carries a high degree of risk would most likely engage in extensive problem-solving.

Extensive problem-solving is a type of consumer decision-making process that occurs when the consumer has little or no experience with the product or service and perceives a high degree of risk associated with the purchase. The consumer will typically gather a significant amount of information, evaluate alternatives, and make a careful decision.

This type of problem-solving is more common for complex and expensive products that are purchased infrequently, such as a new car or a home. The marketer must provide the necessary information to the consumer to facilitate this process and provide reassurance that the product or service is the right choice.

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a newly implemented system has business units concerned about its performance (the new system). which of the following can the auditor recommend to ease those concerns? the organization should prepare the maintenance manual the organization should develop a baseline and monitor the system's usage the organization should implement the changes users have suggested the organization should define alternate processing procedures

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The auditor can recommend implementing a baseline and monitoring the system's usage to ease the business unit's concerns about the new system's performance. Option b is answer.

Establishing a baseline involves measuring the system's current performance, such as response times and resource utilization, to establish a starting point for comparison. By monitoring the system's usage, the organization can identify any performance issues and take corrective actions to address them.

The organization should also define alternate processing procedures to ensure that business operations can continue in the event of system downtime or other issues. Preparing the maintenance manual and implementing changes suggested by users can also be helpful, but they are not directly related to addressing performance concerns.

Option b is answer.

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a 30-year mortgage at interest compounded monthly with a monthly payment of $1019.35 has an unpaid balance of $10,000 after 350 months. find the unpaid balance after 351 months.

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The unpaid balance after 351 months is $137125.79. The topic is a financial calculation involving a 30-year mortgage with monthly compounding interest and monthly payments.

To solve this problem, we can use the formula for the remaining balance on a mortgage:

[tex]B = P * (1 + r)^n - (A / r) * ((1 + r)^n - 1)[/tex]

where:

B = remaining balance

P = principal amount (initial loan amount)

r = monthly interest rate

n = number of months

A = monthly payment

First, let's calculate the monthly interest rate. If the interest is compounded monthly, then the annual interest rate (APR) needs to be divided by 12:

r = APR / 12 / 100 = 0.06 / 12 = 0.005

Next, we can use the formula to find the remaining balance after 350 months:

[tex]B = $10000 = P * (1 + r)^350 - (A / r) * ((1 + r)^350 - 1)[/tex]

Solving for P, we get:

[tex]P = ($10000 + (A / r) * ((1 + r)^350 - 1)) / (1 + r)^350\\P= ($10000 + ($1019.35 / 0.005) * ((1 + 0.005)^350 - 1)) / (1 + 0.005)^350[/tex]

P = $137754.21

Now, we can use the same formula to find the remaining balance after 351 months:

[tex]B = P * (1 + r)^351 - (A / r) * ((1 + r)^351 - 1)\\B = $137754.21 * (1 + 0.005)^351 - ($1019.35 / 0.005) * ((1 + 0.005)^351 - 1)[/tex]

B = $137125.79

Therefore, the unpaid balance after 351 months is $137125.79.

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A coupon bond that pays interest semi-annually has a par value of $1,000, matures in seven years, and has a yield to maturity of 11%. The intrinsic value of the bond today will be __________ if the coupon rate is 8.8%.

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$938.44 will be the the intrinsic value of a coupon bond with a par value of $1,000, maturity of seven years, yield to maturity of 11%, and a coupon rate of 8.8% that pays interest semi-annually,

1. Calculate the semi-annual coupon payment: 0.088 * $1,000 / 2 = $44
2. Determine the number of periods: 7 years * 2 = 14 semi-annual periods
3. Calculate the semi-annual yield to maturity: 0.11 / 2 = 0.055 or 5.5%
4. Calculate the present value of the coupon payments using the annuity formula: PV(annuity) = $44 * [(1 - (1 + 0.055)^-14) / 0.055] ≈ $468.18
5. Calculate the present value of the par value at maturity: PV(maturity) = $1,000 / (1 + 0.055)^14 ≈ $470.26
6. Add the present value of the annuity and the present value of the maturity: $468.18 + $470.26 = $938.44

The intrinsic value of the bond today is $938.44.

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Each receivable transaction involves two parties—the one who takes on the obligation and the one who will collect the cash. True or False.

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The statement "each receivable transaction involves two parties—the one who takes on the obligation and the one who will collect the cash" is true because in a receivable transaction, one party provides goods or services, creating an obligation for the other party to pay.

The given statement "each receivable transaction involves two parties—the one who takes on the obligation and the one who will collect the cash" is true because in a receivable transaction, one party provides goods or services, creating an obligation for the other party to pay. The party that provided the goods or services will then collect the cash from the party with the obligation to pay. Thus, the statement given in the question is true.

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you find a zero coupon bond with a par value of $10,000 and 19 years to maturity. the yield to maturity on this bond is 4.1 percent. assume semiannual compounding periods. what is the dollar price of the bond

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The dollar price of a zero coupon bond can be calculated using the present value formula, where the present value is the dollar price of the bond, the future value is the par value of the bond, the interest rate is the yield to maturity, and the number of periods is the total number of compounding periods until maturity.

Using the information given in the question, we know that the par value of the bond is $10,000 and the yield to maturity is 4.1 percent, which is equivalent to 0.041 when expressed as a decimal. The total number of compounding periods until maturity is 19 years multiplied by 2 since we are assuming semiannual compounding periods, which gives us 38 periods.

Using the present value formula, the dollar price of the bond is calculated as follows:

Present value = Future value / (1 + interest rate)^number of periods
Present value = $10,000 / (1 + 0.041/2)^38
Present value = $10,000 / (1.0205)^38
Present value = $10,000 / 1.9668
Present value = $5,075.43

Therefore, the dollar price of the zero coupon bond with a par value of $10,000 and 19 years to maturity and a yield to maturity of 4.1 percent, assuming semiannual compounding periods, is $5,075.43. This means that an investor can purchase the bond for $5,075.43 today and receive the par value of $10,000 at maturity in 19 years.

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These are legal rules governing the behavior of Boards of Directors when it comes to the dividend decision EXCEPT?
a) Dividends may only be paid out of profit both past and present.
b) Dividends per share cannot exceed earnings per share in any given fiscal year.
c) Dividends cannot be paid where the payment will cause the firm to become insolvent.
d) Dividends cannot be paid out of capital.
e) None of the above

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(e) None of the above, as all of the rules mentioned in options a) to d) are indeed legal rules governing dividend decisions.

What's legal rules governing the behavior of Boards of Directors

The legal rules governing the behavior of Boards of Directors with regard to dividend decisions are aimed at ensuring that dividends are paid only when it is safe and prudent to do so, and that the interests of all shareholders are protected.

These rules are put in place to prevent situations where dividends are paid out of capital or where the payment of dividends can lead to the insolvency of the company.

These rules ensure that dividends are paid only out of profits, both past and present, and that dividends per share do not exceed earnings per share in any given fiscal year.

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assume a company is considering adding a new product. the expected cost and revenue data for this product are as follows: annual sales 5,000 units unit selling price $ 60 unit variable costs: production $ 29.90 selling $ 6 incremental fixed costs per year: production $ 35,000 selling $ 45,000 if the company adds this new product, it expects the contribution margin of other product lines to drop by $18,500 per year. what is the lowest price the company could charge and still break-even on the new product? multiple choice $39.60 $51.90 $40.60 $55.60

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The lowest price the company could charge and still break-even on the new product is C. 40.60$.

Hence, option c. is the right choice.

Which firm were you referring to?

A group of people can get together to create a corporation, which is a legal body used to conduct business and run industrial or commercial enterprises. According to the corporate legislation of its jurisdiction, a corporation may be set up in a variety of ways for tax and financial liability reasons.

An organisation type is what?

The sole proprietorship, partnership, corporation, and S corporation are the four types of businesses that are most prevalent. According to state law, businesses may be organised as Limited Liability Companies (LLCs). The decision of a corporate structure is influenced by legal and tax factors.

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A $100,000 interest rate swap has a remaining life of 15 months, with interest payments occurring every 6 months. Under the terms of the swap, six-month LIBOR is exchanged for 4.6% per annum (compounded semi-annually). Six-month LIBOR forward rates for all maturities are 5.5% (compounded semi-annually). The six-month LIBOR rate was 4% three months ago. The risk free rate is 5% (cont. comp) for all maturities. What is the value of the swap to the party PAYING FLOATING? (Required precision: 0.01 +/- 5)

Answers

The value of the $100,000 interest rate swap, having a remaining life of 15 months, with interest payments occurring every 6 months, to the party paying floating is $77.51.

To calculate the value of the swap to the party paying floating, we need to calculate the present value of the floating rate payments and the present value of the fixed rate payments, and then take the difference.

The floating rate payments are based on six-month LIBOR, which is reset every six months. We can calculate the floating rate payments as follows:

For the first six-month period, the floating rate is 4%, which is below the fixed rate of 4.6%, so the party paying floating pays the fixed rate. The payment is $2,300 (=$100,000 x 4.6% x 6/12).

For the second six-month period, the floating rate is 5.5%, which is above the fixed rate of 4.6%, so the party paying floating pays the floating rate. The payment is $2,750 (=$100,000 x 5.5% x 6/12).

For the third six-month period, the floating rate is also 5.5%, so the payment is again $2,750.

For the fourth six-month period (i.e., the final period), the floating rate is unknown, as it will be set at the beginning of the period. However, we can use the six-month LIBOR forward rate to estimate it. The six-month LIBOR forward rate for this period is 5.5%, so we can assume that the floating rate will be 5.5%. The payment is $2,750.

To calculate the present value of these floating rate payments, we need to discount them using the risk-free rate. The risk-free rate is 5% (cont. comp), which is equivalent to 2.47% (compounded semi-annually) for a six-month period. The present value of the payments is:

PV(floating) = [tex]\$2,300 / (1 + 2.47\%) + \$2,750 /(1 + 2.47\%)^2 + \$2,750 / (1 + 2.47\%)^3 + \$2,750 / (1 + 2.47\%)^4[/tex]

= $9,866.59

The fixed rate payments are based on the fixed rate of 4.6%, which is paid every six months. We can calculate the fixed rate payments as follows:

For the first six-month period, the payment is $2,300.

For the second six-month period, the payment is also $2,300.

For the third six-month period, the payment is again $2,300.

For the fourth six-month period, the payment is also $2,300.

To calculate the present value of these fixed rate payments, we again need to discount them using the risk-free rate. The present value of the payments is: PV(fixed) = [tex]\$2,300 / (1 + 2.47\%) + \$2,300 / (1 + 2.47\%)^2 + \$2,300 / (1 + 2.47\%)^3 + \$2,300 / (1 + 2.47\%)^4[/tex]

= $9,789.08

The value of the swap to the party paying floating is the difference between the present value of the floating rate payments and the present value of the fixed rate payments:

Value of swap = PV(floating) - PV(fixed)

= $9,866.59 - $9,789.08

= $77.51

Therefore, the value of the swap to the party paying floating is $77.51.

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when k-mart paid martha stewart (famous for her business related to lifestyle and the home) a fee in return for permission to introduce a line of towels and other housewares bearing stewart's name, it was an example of

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A licensing agreement is a legal contract between two parties in which the owner of a product or intellectual property (IP) grants permission to another party to use that product or IP in exchange for compensation, such as royalties or a fee.

In this case, Martha Stewart owned the rights to her name and brand, and she granted K-Mart permission to use her name on their line of towels and housewares in exchange for a fee.

Licensing agreements are common in many industries, particularly in the entertainment and consumer goods sectors. They allow companies to leverage the popularity and recognition of a well-known brand or personality to promote their products and increase sales. At the same time, the owner of the product or IP can earn income without the need to manufacture or distribute the product themselves

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true or false: the cost of land purchased 5 years ago should be included in the cost of a project involving the land.

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The given statement "the cost of land purchased 5 years ago should be included in the cost of a project involving the land." is true because if the land is being used for the project, then the cost of the land purchased 5 years ago should be included in the cost of the project

Including the cost of land purchased 5 years ago in the cost of a project involving the land is appropriate because the cost of the land is a sunk cost that has already been incurred and cannot be recovered. The cost of the land is considered a part of the overall investment made in the project, and its inclusion will give a more accurate picture of the total cost of the project. By including the cost of land in the project, the company can make informed decisions about the profitability of the project and determine whether it will yield a desirable return on investment.

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redmont company's gross salaries and wages are $38,000, and it withholds $5,700 for income taxes and $2,907 for fica taxes. the journal entry to record the employees' pay will be:

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The journal entry to record the employees' pay for Redmont Company will include Dr. Salaries and Wages Expense $38,000, Cr. Income Tax Payable $5,700, Cr. FICA Tax Payable $2,907, and Cr. Salaries Payable $29,393.

To record the employees' pay for Redmont Company, follow these steps:

1. Record the gross salaries and wages, which is $38,000. This will be debited to the Salaries and Wages Expense account.

2. Record the withholdings for income taxes, which is $5,700. This will be credited to the Income Tax Payable account.

3. Record the withholdings for FICA taxes, which is $2,907. This will be credited to the FICA Tax Payable account.

4. Calculate the net pay by subtracting the withholdings from the gross salaries and wages ($38,000 - $5,700 - $2,907 = $29,393). This will be credited to the Salaries Payable account.

The journal entry to record the employees' pay for Redmont Company will be:

Debit: Salaries and Wages Expense - $38,000
Credit: Income Tax Payable - $5,700
Credit: FICA Tax Payable - $2,907
Credit: Salaries Payable - $29,393

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Earley Corporation issued perpetual preferred stock with a 10% annual dividend. The stock currently yields 6%, and its par value is $100. Round your answers to the nearest cent. a. What is the stock's value? $ b. Suppose interest rates rise and pull the preferred stock's yield up to 13%. What is its new market value?

Answers

a. The stock's value can be calculated as follows:


Dividend payment = 10% * $100 = $10


Yield = 6% = $6


Stock's value = Dividend payment / Yield = $10 / $6 = $166.67



Therefore, the stock's value is $166.67.



b. If the preferred stock's yield rises to 13%, its new market value can be calculated as follows:



Dividend payment = 10% * $100 = $10

Yield = 13% = $13


Stock's value = Dividend payment / Yield = $10 / $13 = $76.92



Therefore, the preferred stock's new market value would be $76.92.

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loran's pretax accounting income in year 1 is $100,000. loran had bad debt expense for financial reporting purposes of $14,000 in year 1. in year 1, loran deducted $4,000 in bad debts. loran expects the temporary difference to reverse $3,000 in year 2 and $7,000 in year 3. the income tax rate is 40%. what is the amount in the deferred tax asset account at the end of year 2?

Answers

The deferred tax asset account balance at the end of Year 2 is $2.800

How to calculate the amount in the deferred tax asset account

Loran's pretax accounting income in Year 1 is $100,000, with a bad debt expense of $14,000 for financial reporting purposes.

For tax purposes, Loran deducted $4,000 in bad debts, creating a temporary difference of $10,000 ($14,000 - $4,000).

The tax rate is 40%.

At the end of Year 1, the deferred tax asset is calculated as $10,000 x 40% = $4,000.

The temporary difference is expected to reverse by $3,000 in Year 2 and $7,000 in Year 3.

In Year 2, the reversal of the temporary difference reduces the deferred tax asset. The reduction is calculated as $3,000 x 40% = $1,200.

Therefore, the deferred tax asset account balance at the end of Year 2 is $4,000 - $1,200 = $2,800.

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on november 1, alan company signed a 120-day, 8% note payable, with a face value of $26,100. what is the adjusting entry for the accrued interest at december 31 on the note?

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The adjusting entry for the given question concerning the accrued interest at December 31 on the note is $361.07.

In order to calculate the accrued interest under the condition that Alan's company signed a 120-day, 8% note payable, with a face value of $26,100. we need to use the formula

Interest = Principal x rate x time

given, values are present in the following question

Principal = $26,100

rate = 8% annual

therefore,

per day = 8/365

= 0.00022

time = 61 days

hence, the interest is

Interest =  26,100 x 0.00022 x 61

Interest = $361.07

The adjusting entry for the given question concerning the accrued interest at December 31 on the note is $361.07.

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estimating the appropriate cost driver as part of activity-based costing is an example of which type of predictive analytics?

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Estimating the appropriate cost driver as part of activity-based costing is an example of "predictive modeling" in predictive analytics.

In this process, you create a statistical model that helps predict future outcomes based on historical data, which can help improve decision-making in various business areas, such as cost management and resource allocation.

Predictive analytics is a branch of advanced analytics that makes predictions about future outcomes using historical data combined with statistical modeling, data mining techniques and machine learning. Companies employ predictive analytics to find patterns in this data to identify risks and opportunities.

Predictive analytics models are designed to assess historical data, discover patterns, observe trends, and use that information to predict future trends. Popular predictive analytics models include classification, clustering, and time series models.

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Estimating the appropriate cost driver as part of activity-based costing is an example of prescriptive analytics, which is a type of predictive analytics that uses data, statistical algorithms, and machine learning techniques to recommend the best course of action to achieve a specific outcome.

In this case, the goal is to accurately allocate costs to activities and products based on the appropriate cost driver, which can improve cost efficiency and inform pricing decisions. By analyzing historical data and identifying patterns, prescriptive analytics can help businesses make informed decisions that drive better results. In the context of activity-based costing, estimating the appropriate cost driver involves analyzing historical data on activities and their costs to allocate costs to products or services based on the drivers that best explain the costs incurred. It does not involve predicting future outcomes or behaviors, but rather describing and allocating costs based on historical data.

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Megan borrows money at an annual effective interest rate of 5%. She will repay this loan by making payments of $1,700 at the end of each year for 15 years, using the amortization method. Calculate the amount of interest paid in the 4th payment. Solve by hand without the use of a spreadsheet or finance calculator.

Answers

The amount of interest paid in the 4th payment is approximately $605.76.

1: Calculate the present value of the loan

We can use the annuity formula to find the present value (PV) of the loan:

PV = PMT * [(1 - (1 + i)^(-n)) / i],

where PMT is the annual payment ($1,700), i is the interest rate (0.05), and n is the number of years (15).

PV = 1700 * [(1 - (1 + 0.05)^(-15)) / 0.05]

PV ≈ $14,781.33

Step 2: Calculate the outstanding balance (OB) after the 3rd payment

To find the outstanding balance after the 3rd payment, we will apply the annuity formula again, but this time for 12 years (since 3 years have already passed):

OB = PMT * [(1 - (1 + i)^(-12)) / i]

OB = 1700 * [(1 - (1 + 0.05)^(-12)) / 0.05]

OB ≈ $12,115.27

Step 3: Calculate the interest portion of the 4th payment

The interest portion of the 4th payment is equal to the outstanding balance after the 3rd payment multiplied by the interest rate:

Interest = OB * i

Interest = $12,115.27 * 0.05

Interest ≈ $605.76

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roberto and reagan are both 25-percent owner/managers for bright light incorporated. roberto runs the retail store in sacramento, california, and reagan runs the retail store in san francisco, california. bright light generated a $130,600 profit companywide made up of a $76,600 profit from the sacramento store, a ($29,000) loss from the san francisco store, and a combined $83,000 profit from the remaining stores. if bright light is taxed as a partnership and it is decided that both roberto and reagan will be allocated 70 percent of his own store's profit, with the remaining profits allocated pro rata among all the owners, how much income will be allocated to reagan in total?

Answers

To determine how much income will be allocated to Reagan in total, we need to first calculate the total profit that will be allocated. Reagan's total allocated income will be $32,090.

Total profit = $130,600 - $76,600 (Roberto's store profit) - (-$29,000) (Reagan's store loss) - $83,000 (other stores' profit) Total profit = $157,200

Next, we need to calculate the profit allocated to Roberto and Reagan's individual stores. Since both Roberto and Reagan are 25-percent owner/managers, their individual store's profits will be allocated 70 percent to themselves, and the remaining 30 percent will be allocated pro rata among all the owners.

Profit allocated to Roberto's store = $76,600 x 0.70 = $53,620, Profit allocated to Reagan's store = (-$29,000) x 0.70 = (-$20,300). Now, we can calculate the total profit allocated to Reagan: Total profit allocated to Reagan = ($20,300) + ($157,200 x 0.30 x 0.25)

Total profit allocated to Reagan = $20,300 + $11,790, Total profit allocated to Reagan = $32,090. Therefore, Reagan's total allocated income will be $32,090.

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firm has an opportunity to invest $4,210 today which will yield $4,450 in one year. if interest rates are 4%, what is the net present value (npv) of this investment? would you accept or reject this investment project?

Answers

The NPV of this investment is approximately $68.85. Since the NPV is positive, you should accept this investment project as it is expected to generate value above the 4% interest rate.

To calculate the net present value (NPV) of this investment:

1. Identify the cash flows: The initial investment is $4,210, and the return after one year is $4,450.
2. Determine the discount rate: The interest rate is 4%.
3. Calculate the present value of each cash flow: Use the formula PV = FV / (1 + r)n, where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods.

For the return of $4,450 in one year, the present value would be:
PV = $4,450 / (1 + 0.04)^1 = $4,450 / 1.04 ≈ $4,278.85

4. Calculate the NPV: Subtract the initial investment from the present value of future cash flows.
NPV = $4,278.85 - $4,210 ≈ $68.85


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Income generated from the Toyota factory in Kentucky is counted as A. GNP in the U.S. and GDP in Japan B. GNP in the U.S. and Japan C. GDP in the U.S. and Japan D. GDP in the U.S. and GNP in Japan T

Answers

Income generated from the Toyota factory in Kentucky is counted as D. GDP in the U.S. and GNP in Japan.

To understand this answer, let's define the terms Gross Domestic Product (GDP) and Gross National Product (GNP):

1. GDP: It measures the total value of goods and services produced within a country's borders during a specific period, regardless of the ownership of the production factors. It reflects the overall economic activity of a country.

2. GNP: It measures the total value of goods and services produced by a country's residents, both domestically and internationally, during a specific period. It takes into account the ownership of the production factors, regardless of their location.

Now, let's break down the answer:

- The Toyota factory is located in Kentucky, which is in the United States. Therefore, the income generated from this factory contributes to the overall economic activity within the U.S. borders, making it a part of the U.S. GDP.

- Toyota is a Japanese company, and the income generated by the factory in Kentucky is considered as income generated by Japanese residents (the company's shareholders). Therefore, this income is included in Japan's GNP, as it represents income generated by Japanese-owned factors of production, even if they are located outside of Japan.

In conclusion, the income generated from the Toyota factory in Kentucky is counted as GDP in the U.S. and GNP in Japan because it reflects the economic activity within the U.S. borders and the income generated by Japanese residents (Toyota).

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sustainable development goals (sdgs) are addressed to a. governments and businesses b. governments rather than businesses c. ngos d. foreign investors

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The sustainable development goals are addressed to governments and business.

The sustainable development goals (SDGs) are primarily addressed to governments and businesses. While NGOs and foreign investors can certainly play a role in supporting the achievement of the SDGs, it is ultimately up to governments and businesses to implement policies and practices that prioritize sustainable development. Therefore, option a, governments and businesses, is the most accurate answer.

SDGs refer to the United Nations Sustainable Development Goals, a set of 17 global goals to address social, economic, and environmental challenges by 2030.

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eBook Problem Walk Through Holt Enterprises recently paid a dividend, Do, of $3.50. It expects to have nonconstant growth of 12% for 2 years followed by a constant rate of 6% thereafter . The firm's required return is 10% a. How far away is the horizon date? 1. The terminal, or horizon, date is Year since the value of a common stock is the present value of all future expected dividends at time zero II. The terminal, or horizon, dat is the date when the growth rate becomes nonconstant. This occurs at time zero. 111. The terminal, or hottron, date is the date when the growth rate becomes constant. This occurs at the beginning of Year 2 IV. The terminal, or horizon, date is the date when the growth rate becomes constant. This occurs at the end of your V. The terminal, or horizon, dat is Infinity since common stocks do not have a maturity date Select . What is the firm's horton, of continuino, value? Do not round Intermediate calculations. Round your answer to the nearest $ What is the he's intrinske volion today. Part round intermediate calculations. Round your wwwer to that comest cent

Answers

To determine the horizon date, we need to identify when the growth rate becomes constant. We are told that the company will have nonconstant growth of 12% for two years, followed by constant growth of 6%. Therefore, the horizon date is the end of Year 2, when the growth rate becomes constant.

To calculate the horizon value, we need to calculate the dividends for Year 1, Year 2, and all subsequent years. Since the growth rate is nonconstant for the first two years, we need to use the two-stage dividend growth model.

The formula for the two-stage dividend growth model is:

P0 = (D1 / (1 + r)^1) + (D2 / (1 + r)^2) + (D2 * (1 + g2) / (r - g2)) / (1 + r)^2

Where:

P0 = Intrinsic value of the stock today

D1 = Dividend expected in Year 1

D2 = Dividend expected in Year 2

r = Required rate of return

g1 = Growth rate for the first stage (nonconstant growth)

g2 = Growth rate for the second stage (constant growth)

We are given that the current dividend is $3.50, and the growth rate for the first two years is 12%. Therefore:

D1 = $3.50 * (1 + 0.12) = $3.92

D2 = $3.92 * (1 + 0.12) = $4.38

We are also given that the required return is 10%, the growth rate for the second stage is 6%, and the horizon date is the end of Year 2.

Therefore:

r = 10%

g2 = 6%

n = 2

Using these values, we can calculate the horizon, or continuing, value:

Continuing value = D3 * (1 + g2) / (r - g2) = $4.38 * (1 + 0.06) / (0.10 - 0.06) = $139.56

Now we can use the two-stage dividend growth model to calculate the intrinsic value of the stock today:

P0 = (D1 / (1 + r)^1) + (D2 / (1 + r)^2) + (Continuing value / (1 + r)^2)

P0 = ($3.92 / 1.1) + ($4.38 / 1.1^2) + ($139.56 / 1.1^2) = $124.15 (rounded to the nearest dollar)

Therefore, "the intrinsic value of the stock today is $124.00."

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How would not being able to trade continuously impact
the ability of Black-Scholes to price an option? How does this
relate to the Approximation Effect?

Answers

Hi! The inability to trade continuously would impact the ability of the Black-Scholes model to price an option, as the model assumes continuous trading without any restrictions. This is important because continuous trading allows for perfect hedging, which is crucial for the accurate pricing of options using the Black-Scholes formula.


When trading is not continuous, the Approximation Effect comes into play. The Approximation Effect is the discrepancy between the actual option price and the price calculated by the Black-Scholes model due to the assumption of continuous trading. In a real-world scenario where trading is not continuous, perfect hedging becomes impossible, leading to the Approximation Effect causing inaccuracies in the Black-Scholes option pricing.


In summary, not being able to trade continuously affects the Black-Scholes model's ability to price an option due to the reliance on continuous trading for perfect hedging. This inability to trade continuously introduces the Approximation Effect, leading to discrepancies between the actual option price and the calculated Black-Scholes price.

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how should salespeople react when buyers voice their concerns or questions? (check all that apply.)

Answers

When buyers voice their concerns or questions, salespeople should:

1. Actively listen: Pay attention to the buyer's concerns and make sure to fully understand their issues before responding.
2. Be empathetic: Put yourself in the buyer's shoes and acknowledge their concerns genuinely.
3. Address the concern: Provide accurate and relevant information to address the buyer's questions or concerns, without providing unnecessary details.
4. Offer solutions: Suggest appropriate solutions or alternatives that can resolve the buyer's concerns or meet their needs.
5. Be professional and friendly: Maintain a positive and courteous demeanor throughout the conversation to foster a good relationship with the buyer.

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in the context of cash flow statements and budgets, for a new entrepreneurial firm, what is a benefit of separating cash inflows on a cash flow statement into as many categories as possible?

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There are several benefits to separating cash inflows on a cash flow statement into as many categories as possible for a new entrepreneurial firm. Separating cash inflows into as many categories as possible on a cash flow statement is a valuable tool for new entrepreneurial firms.

Many categorizing cash inflows into multiple categories, entrepreneurs can:

1. Identify the main sources of revenue: Separating inflows allows for a clear understanding of which products or services are generating the most income, helping to prioritize future investments and strategies.

2. Monitor trends and seasonality: Categorizing cash inflows can reveal patterns and trends in the business, helping to anticipate fluctuations and adjust budgets accordingly.

3. Allocate resources more effectively: Knowing where cash is coming from allows entrepreneurs to allocate resources more efficiently, ensuring that the most profitable areas of the business receive the necessary support.

4. Improve financial forecasting: Categorizing cash inflows contributes to more accurate financial forecasting, which is essential for planning and decision-making in an entrepreneurial firm.

5. Better track and control expenses: Separating cash inflows into categories also makes it easier to compare them with corresponding expenses, enabling better cost management and control.

Therefore, n the context of cash flow statements and budgets for a new entrepreneurial firm, a benefit of separating cash inflows into as many categories as possible is that it allows for a more accurate understanding of the company's financial situation, as well as improved decision-making and planning for future growth.  

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Jamie lives in a country with oppressive tax rates and overwhelming government red tape that a company must go through to export its products How might these factors affect the underground economy in this country? Multiple Choice a. The underground economy would be biggerb. The underground economy would be smaller c. The underground economy would be neutralized, d. The underground economy would not exist

Answers

The way oppressive tax rates and overwhelming government red tape might affect the underground economy in Jamie's country is that the underground economy would be bigger. Therefore, the correct option is A.

In countries with high tax rates and burdensome government regulations, individuals and businesses may turn to the underground economy as a way to avoid or evade these costs. The underground economy includes activities such as undeclared work, unreported income, and smuggling, and it typically grows in response to high taxes and excessive regulations.

Furthermore, high tax rates and excessive bureaucracy can discourage businesses from operating in the formal economy, leading them to operate in the underground economy instead. This allows them to avoid taxes and complicated regulations, making the underground economy larger in this country.

Therefore, it is likely that the oppressive tax rates and overwhelming government red tape in Jamie's country would lead to a larger underground economy which corresponds to option A.

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eBook Given the following information, determine the beta coefficient for Stock Lthat is consistent with equilibrium: f1 = 14.5% = 3.5% = 10.5%. Round o your answer to two decimal places.

Answers

The beta coefficient for Stock L is 1.86.

The beta coefficient measures the sensitivity of a stock's returns to the returns of the overall market. To calculate the beta coefficient for Stock L, we can use the following formula:

beta = (rL - rf) / rm - rf

where rL is the expected return on Stock L, rf is the risk-free rate, and rm is the expected return on the market.

Using the given information, we can plug in the numbers:

beta = (14.5% - 3.5%) / 10.5% = 1.86

Therefore, the beta coefficient for Stock L is 1.86.

Note that a beta coefficient of 1 indicates that the stock's returns move in line with the market, while a beta greater than 1 indicates that the stock's returns are more volatile than the market, and a beta less than 1 indicates that the stock's returns are less volatile than the market.

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define the following: what is the equilibrium price of the concerts. what is the equilibrium quantity of the concerts. what is the optimal price of the concerts. what is the optimal quantity of the concerts. is this a positive or a negative externality ? (single word answer-positive or negative) what is the value of the externality ? (number no dollar signs or decimals) what is the proper action to correct the externality: tax or subsidy (tax or subsidy) what is the value of the corrective tax or subsidy applied to correct the externality ?

Answers

Equilibrium price of concerts is the price at which the quantity demanded by consumers equals the quantity supplied by producers. Equilibrium quantity of concerts is the quantity that is bought and sold at the equilibrium price.

Optimal price of concerts is the price that maximizes the profit of concert organizers. Optimal quantity of concerts is the quantity that maximizes the profit of concert organizers. This is a negative externality. The value of the externality is the cost imposed on third parties by the noise and congestion generated by the concerts.

To correct the negative externality, a corrective tax can be imposed on the concert organizers, which would increase their cost and reduce the quantity of concerts they supply.

The value of the corrective tax should be equal to the value of the externality, so that the concert organizers will internalize the cost of the externality and take it into account when deciding how many concerts to organize.

The value of the corrective tax should be equal to the difference between the social cost and the private cost of the concerts, which is the cost imposed on third parties by the noise and congestion generated by the concerts.

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