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svetlana [45]
3 years ago
13

"You need to have $15,000 in five years to pay off a home equity loan. You can invest in an account that pays 5.75 percent compo

unded quarterly. How much will you have to invest today to attain your target in five years? (Round to the nearest dollar."
Business
1 answer:
Nana76 [90]3 years ago
4 0

Answer:

I have to invest $11364.

Explanation:

The formula of Compound Interest is:

A = P(1+\frac{r}{n})^{nt}

where A = Amount

P = Principle

r = rate

n = Number of Compounding per year

t = total number of year

Here, A = 15000, r = 5.75% = 0.0575, n = 4(quarterly), and t = 5.

Putting all these values in above formula:

15000 = P(1+\frac{0.0575}{4})^{4\times5}

⇒ 15000 = P(\frac{4.0575}{4})^{20}

⇒ 15000 = P(1.014)^{20}

⇒ 15000 = P(1.320)}

⇒ P = 11364

Hence, I have to invest $11364 for 5 years.

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________ occurs when production is in accordance with consumer preferences.
Alika [10]

Answer:

The correct answer is Allocative efficiency.

Explanation:

Although there are different evaluation standards for the concept of allocation efficiency, the basic principle states that, in any economic system, the different options in the allocation of resources will produce both "winners" and "losers" in relation to the choice being evaluated. The principles of rational choice theory, individual maximization, utilitarianism and market theory assume, in addition, that the results for both winners and losers can be identified, compared and measured.

From these basic premises, the objective of maximizing the efficiency in the allocation can be defined according to some neutral principle in which some options are considered “objectively better than others”. For example, an economist might say that a change in policy increases the efficiency of allocation, as long as those who benefit from the change (winners) earn more than the losers lose.

------

NOTE: If you need to extend the explanation given, you can make a comment or add a new question. I will be very pleased to help you.

7 0
2 years ago
Omicron Technologies has $60 million in excess cash and no debt. The firm expects to generate additional free cash flows of $48
pochemuha

Answer:

The closest answer is option (A) $4.45

Explanation:

Solution

Now

Let us assume that Omicron spends the entire $60 million to re-bought shares.

Thus

The amount of the regular yearly dividends in the future is nearest to:

Enterprise value =$48/0.10 = $480 million

So

The market value = Enterprise value + cash = $480 + $60 = $540 million

Share price = market value / shares outstanding = $540 million / 12 million = $45

Now

The number of shares re-bought = $60 million / $45 = 1,333,333 shares

Shares outstanding = 12,000,000 - 1,333,333 = 10,666,667

Dividend = $48 million free cash flow / 10,666,667 = $4.49

Therefore The amount of the regular yearly dividends in the future is closest to $4.45

4 0
3 years ago
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Answer:

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<em />

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Cost of debt = YTM = 10%

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Interest payment per period = $44.57

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Answer:

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