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3 years ago

Present and Future Values for Different Periods:

Business

1 answer:

DiKsa [7]3 years ago

8 0

Answer:

1. $636

2. $674.16

3. $566.04

4. $534

Explanation:

PV = FV ÷ (1 + r/n)^(t × n)........(1)

PV = present value

FV = Future value

r = rate per period

t = number of years

n = number of compounded period per year

FV = P(1 + r/n)^(t×n)...............(2)

FV = Future value

P = principal

r = rate per period

n = number compounded period per year

t = number of year

NO 1.

P= $600

t = 1

n = 1

r = 6% = 0.06

Using equation 2

FV = 600(1 + 0.06/1)^(1 × 1) = $636

NO 2

P = $600

n = 1

t = 2

r = 0.06

Using equation 2

FV = 600(1 + 0.06/1)^(2 × 1) = $674.16

NO 3.

FV = $600

r = 0.06

t = 1

n = 1

Using equation 1

PV = 600 ÷ (1 + 0.06/1)^(1 × 1) = $566.04

NO 4.

FV = $600

r = 0.06

n = 1

t = 2

Using equation 1

PV = 600 ÷ (1 + 0.06/1)^(2 × 1) = $534

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The balance sheet of ABC reports total assets of $400,000 and $450,000 at the beginning and end of the year, respectively. The r

zimovet [89]

Answer:

ABC net income for the year is $42,500

Explanation:

Beginning total assets = $400,000

Ending total assets = $450,000

Average total assets = Beginning total assets + Ending total assets ÷ 2

= ($400,000 + $450,000) ÷ 2

= $425,000

Return on assets = 10%

Therefore,

Net income ÷ Average total assets = Return on assets

Net income = Return on assets × Average total assets

Net income = 0.1 × Average total assets

= $425,000 × 0.1

= $42,500

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3 years ago

To have an effective marketing exchange process, you must make sure it involves a customer, a provider, a product, and a:

Travka [436]

Answer:

Transaction

Explanation:

Marketing exchange process refers to a process wherein two or more individuals buy or sell a good. Exchange refers to the consideration which is paid in return for the product i.e money.

For any exchange to take place it is essential that the good is transacted.

Customer would be the one who requires the product or the ones who create a want.

A Provider is the one who satisfies a want or say the one who makes the product available.

Product is the bundle of utilities or attributes which satisfies a want.

Transaction is effected when the buyer gets the product and the seller gets paid for the product.

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3 years ago

After deciding to acquire a new car, you realize you can either lease the car or purchase it with a three-year loan. The car you

muminat

Answer:

a. $15,369.28

b. $16,332.28

c. $19,347.60

Explanation:

a. What is the present value of purchasing the car?

PV of resale = SP ÷ (1 + r)^n ................................................. (1)

Where SP = Resales proceed = $20,500

r = discount rate = 6% annually = 0.06 annually = (0.06 ÷ 12) monthly = 0.005 monthly

n = number of periods = 3 years = 3 × 12 = 36 months

Substituting into equation (1), we have:

PV of resale = $20,500 ÷ (1 + 0.005)^36 = $17,130.7208354753

Net PV = Purchase price - PV of resale

= $32,500 - $17,130.7208354753

Net PV = $15,369.28

Therefore, the present value of purchasing the car $15,369.28.

b. What is the present value of leasing the car?

PV of future period payment can be calculated using the following formula:

PV of monthly payment = M × 1 - (1 + r)^-n ÷ r .......................................... (2)

Where,

M = monthly payment = $494

r = discount rate = 6% annually = 0.06 annually = (0.06 ÷ 12) monthly = 0.005 monthly

n = number of periods = 3 years = 3 × 12 = 36 months

Substituting into equation (2), we have:

PV of monthly payment = $494 × {[1 - (1 + 0.005)^-36] ÷ 0.005}

PV of monthly payment = $16,238.2820221969

PV of leasing the car = Today's payment + PV of monthly payment

= $94 + $16,238.2820221969

PV of leasing the car = $16,332.28

Therefore, PV of leasing the car is $16,332.28.

c. What break-even resale price in three years would make you indifferent between buying and leasing?

This will be calculated by equating the PV of leasing the car to the difference between the purchase price and the PV of resale as follows:

PV of leasing car = Purchase price - PV of resale

$16,332.28 = $32,500 - PV of resale

Solving for PV of resale, we have:

PV of resale = $16,167.72.

The future value (FV) of resale price in 3 years can be calculated as follows:

FV of resale = PV of resale × (1 + r)^n

FV of resale = $16,167.72 × (1 + 0.005)^36 = $19,347.60

Therefore, the break even resale price in 3 years is $19,347.60.

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2 years ago

Last year Acme paid Ralph $15,000 to install a new air-conditioning unit at its headquarters building. The air conditioner did n

Fynjy0 [20]

Explanation:

a. Ralph is in charge of the land, with an implicit right to payment in compliance with right doctrine (North American Oil Consol. v. Burnet (1932, S.Ct.) 286 US 414). This year, however, gross sales are made, although they may be reimbursed later.

b. Unless he returns money to Acme this year, Ralph will be able to claim a deduction of $5,000. Although Ralph originally paid the $1,750 tax on invoice and only saved $1,400 on the reduction of the refund and because the repayment timing resulted in an additional $350 tax. As the amount refunded to Ralph is more than $3,000 according to IRC§ 1341a. This is possible for Ralph to use the taxes accrued in the next year from the same refund to cover taxes. So Ralph will say a tax offset of $1,750 instead of a deduction of $5,000.

c.The sum of the deduction must be more than $3,000, according to IRC § 1341(a). Because Ralph spent just $2,500, he is not liable for tax reduction deductions, but can only claim a refund deduction.

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2 years ago

Consider the following for Guardian Manufacturing Company: Change in finished goods inventory $ 315 increase Change in work-in-p

vesna_86 [32]

Answer:

B) $ 485 $ 170

Explanation

The cost of goods manufactured includes all the manufacturing costs in a given period adjusting for changes in work in process balances. The total manufacturing costs are $ 630 but this results in an increase in work in process inventory by $ 145, so in other words, part of the total manufacturing costs have gone towards increasing the work in process balance.

So the cost of goods manufactured is $ 630 - $ 145 = $ 485.

The cost of goods sold is the cost of goods manufactured above adjusted for changes in finished goods.

so the cost of goods sold is $ 485 - $ 315 ( change in finished goods inventory) = $ 170.

8 0

2 years ago