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Karolina [17]
3 years ago
14

At an annual effective interest rate of 6.3%, an annuity immediate with 4N level annual payments of 1,000 has a present value of

14,113. Determine the fraction (in percentage) of the total present value represented by the first set of N payments and the third set otâ…£ payments combined.
Business
1 answer:
LuckyWell [14K]3 years ago
8 0

Answer:

$8,949.22

Explanation:

PV = annual payment x PV annuity factor

PV annuity factor = 14,133 / 1,000 = 14.133

PV annuity factor = [1 - 1/(1 + 0.063)ⁿ ] / 0.063

14.133 x 0.063 = 1 - 1/(1 + 0.063)ⁿ

0.890379 = 1 - 1/(1 + 0.063)ⁿ

1/(1 + 0.063)ⁿ = 0.109621

1 / 0.109621 = 1.063ⁿ

9.12234 = 1.063ⁿ

n = log 9.12234 / log 1.063 = 0.96010624 / 0.0265333 = 36

the present value of the first 36/4 = 9 payments = $1,000 x 6.71376 (PV annuity factor, 9 periods, 6.3%) = $6,713.76

the present value of the third set of 9 payments = $6,713.76 / (1 + 6.3%)¹⁸ = $2,235.46

present value of the first and third sets = $8,949.22

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Answer:

<u>By reducing their prices compare to the price of their competitors.</u>

Explanation:

Note, a <u>competitive pricing strategy</u> refers to a pricing strategy that involves <em>deliberately </em>finding out the prices in which your competitor sells their product and then tailoring yours to be a little lower than theirs, by so doing customers feel motivated to buy from you instead.

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4 years ago
If the rate of interest increases 1 percent, what will be the bond’s new price
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4 years ago
Alyeska Services Company, a division of a major oil company, provides various services to the operators of the North Slope oil f
MaRussiya [10]

Answer:

The correct answer for option (1) is 31.72%, for option (2) is 0.52 times and for option (3) is 16.43%.

Explanation:

According to the scenario, the given data are as follows:

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Net operating income = $5,900,000

Average operating assets = $35,900,000

(1). We can calculate the margin for Alyeska service company by using following formula:

Margin = Net operating income ÷ Sales

= $5,900,000 ÷ $18,600,000

= 0.3172 or 31.72%

(2). We can calculate the turnover for Alyeska service company by using following formula:

Turnover = Sales ÷ Average operating assets

= $18,600,000 ÷ $35,900,000

= 0.52 Times

(3). We can calculate the ROI for Alyeska service company by using following formula:

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= $5,900,000 ÷ $35,900,000

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4 0
4 years ago
Greta is concerned about the level of debt her business has incurred, as she is responsible for its liabilities. Assuming Greta
aleksandrvk [35]

Answer:

She can protect herself by making the business a <u>Single member Limited Liability Company.</u>

Explanation:

When a business is registered as a Limited Liability Company, the business owner cannot be held liable for the debts incurred by the company. The <u>extent of the owner's liability will only be to what he or she has invested in the business</u>.

This means <u>the personal properties of the business owner will not be affected by the Company's debts.</u>

<em>Greta should therefore register her business as a Limited Liability Company to protect herself from the liabilities of the business.</em>

4 0
3 years ago
Read 2 more answers
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