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Lorico [155]
2 years ago
9

An annuity makes payments for 50 years with the following payment pattern: $1 paid at the end of the first year, $2 at the end o

f the second year, $1 at the end of the third year, $4 at the end of the fourth year, $1 at the end of the fifth year, etc. This pattern will continue such that $1 will be paid out at the end of the 49th year and $50 will be paid out at the end of the 50th year. What is the present value of this annuity assuming the interest rate is 5% per annum convertible quarterly? A
Business
1 answer:
Anastaziya [24]2 years ago
3 0

Answer:

$154.79

Explanation:

Note: See the attached file for the calculation of the present value of this annuity.

But, we first calculate the effective interest rate as follows:

r = Effective interest rate = (1 + (i/p))^p - 1 .................. (1)

Where;

i = interest rate = 5%, 0.0500

p = number compounding in year = 4

Substituting the values into equation (1), we have:

r = (1 + (0.05/4))^4 - 1 = 0.0509453369140624

Using the effective interest rate above, the present value of this annuity is $154.79.

Download xlsx
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The selling and administrative expense budget of Choo Corporation is based on budgeted unit sales, which are 4,600 units for Aug
mr Goodwill [35]

Answer:

Option (c) is correct.

Explanation:

Given that,

Budgeted unit sales for August = 4,600 units

Variable selling and administrative expense per unit = $7.30 per unit

Budgeted fixed selling and administrative expense = $51,980

Depreciation per month = $6,440

Total variable selling and administrative expense:

= Budgeted unit sales for August × variable selling and administrative expense per unit

= 4,600 × $7.30

= $33,580

Total fixed selling and administrative expense:

= Budgeted fixed selling and administrative expense - Depreciation per month

= $51,980 - $6,440

= $45,540

Total cash disbursements for selling and administrative expenses:

= Total variable selling and administrative expense + Total fixed selling and administrative expense

= $33,580 + $45,540

= $79,120

8 0
1 year ago
Say that Alland can produce 32 units of food per person per year or 16 units of clothing per person per year, but Georgeland can
bixtya [17]

Answer:

Georgeland has an absolute but not a comparative advantage in producing clothing.

Explanation:

Absolute advantage is defined as the ability of a firm to produce higher amounts of a product as a result of use of the same resources with other competitors. It is usually bad a result of more efficient production process.

Comparative advantage is the ability of a firm to produce goods at a lower opportunity cost. Therefore they are able to sell at lower price compared to competitors.

Georgeland can produce 18 units of clothe per year while Alland can produce 16 units per year, so Georgeland has absolute advantage.

In producing clothes Georgeland has opportunity cost of 36 units of food which is higher than that of Alland which is 32 units of food. So Georgeland does not have comparative advantage in producing clothes.

3 0
1 year ago
Suppose that the standard deviation of quarterly changes in the prices of a commodity is $0.65, the standard deviation of quarte
Natasha_Volkova [10]

Answer:

The optimal hedge is 0.642 and it means that the size of the future positions should be 64.2% of the exposure of the company in a 3 month-hedge.

Explanation:

optimal hedge ratio

= coefficient of correlation*(standard deviation of quarterly changes in the prices of a commodity/standard deviation of quarterly changes in a futures price on the commodity)

= 0..8*(0.65/0.81)

= 0.642

Therefore, The optimal hedge is 0.642 and it means that the size of the future positions should be 64.2% of the exposure of the company in a 3 month-hedge.

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2 years ago
Having a greater pool of knowledge, gaining different perspectives, gaining intellectual stimulation, having a better understand
frozen [14]

Answer:

The correct answer is letter "A": group decision making.

Explanation:

Group decision making allows members to share individual experiences among the team. The team usually starts by brainstorming ideas on their tasks so the path they will follow is decided by the majority of them. These types of actions create a sense of justice in the group that later will be translated into commitment with the path taken. Besides, as the team members elected that path by themselves, they are likely to have a deeper understanding of what they are looking for the result of the work to be.

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1 year ago
A consumer has two basic choices: rent a DVD movie for $4.00 and spend 2 hours watching it, or spend $13 for a miniature golf ga
riadik2000 [5.3K]

Answer:

Play miniature golf instead of renting the movie.

Explanation: Marginal utility is the added satisfaction derived from spending an extra unit of money.

Now we can see that the consumer values time at $12 per hour, and they'll spend a total of $24 on watching the DVD because this will take 2 hours, the consumer will also spend just $12 on miniature golf because this takes just one hour.

Now factoring the costs of the DVD and the miniature golf into the equation, we have:

Total cost of renting and watching the DVD:

$4 + $24 = $28

Total cost of playing miniature golf:

$13 + $12 = $25

We can see that the consumer will spend less in playing miniature, while getting the same marginal utility with the other option.

3 0
1 year ago
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