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3 years ago

You have just applied for a 30year 100000 mortgage at a rate of 10%.what must be annual payment be?

Business

1 answer:

Fittoniya [83]3 years ago

7 0

Answer:

The correct answer is "$10,607.92".

Explanation:

Given:

Amount borrowed,

P = 100000

Interest rate,

r = 10%

or,

= 0.1

Time,

= 30 years

Now,

The annual payment will be:

⇒ $A=P\times \frac{r(1+r)^n}{(1+r)^n-1}$

$=100000\times \frac{0.1(1+0.1)^{30}}{(1+0.1)^{30}-1}$

$=10,607.92$ ($)

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Dollar-cost averaging means that you buy equal dollar amounts of a stock every period, for example, $500 per month. The strategy

lana [24]

Answer:

Read the explanation below

Explanation:

Dollar-cost averaging is based on the belief that prices of stock fluctuate around a normal level. Without this notion, it will not be possible to determine what can be seen as high or low now compared to the future.

The benefits of Dollar Cost Averaging attracts investors to employ. These benefits include:

1. It contributes on a regular basis to portfolios of investment.

2. The problem of market timing is eliminated especially for investors do not have time to track the market regularly or who lack the understanding of the market.

3. The cost basis to consumers on stocks whose values decline are is reduced.

4. It is easy to set up and not expensive especially for investors with no huge amount of money to invest. Like the example in the question, it easier for a salary earner to invest $500 monthly than investing $5,000 in a day.

Despite these advantages, dollar-cost averaging has its own disadvantages, and these include:

1. It has been found out in different studies that investor that can time the market correctly and invest a lump sum amount receive a higher return in the long run than what dollar-cost averaging can fetch.

2. The transaction costs paid by the investors significantly increased because of more number of different transactions when brokerage fee is high.

I wish you the best.

7 0

3 years ago

When retained earnings are not enough to meet their long-term funding needs, businesses may be able to raise funds by:

eimsori [14]

Answer:

A.selling common stock.

Explanation:

A business raises capital through debt or equity. Debts represent borrowed funds, which include bonds and loans. Equity represents the owner's funds, which comprises of shares and retained earnings.

Should a business not have enough funds for its long term needs, it can sell more shares to the existing shareholders or the general public. Shares represent ownership of the company. Selling common stock means that the company will receive the funds it requires in exchange for ownership rights. Shareholder earns dividends as a reward for providing capital to businesses.

4 0

3 years ago

What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and

siniylev [52]

Answer:

a. The expected return on the equally weighted portfolio of the three stocks is 16.23%.

b. The variance of the portfolio is 0.020353.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf file for the complete question.

a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

This can be calculated using the following 2 steps:

Step 1: Calculation of expected returns under each state of the economy

Expected return under a state of the economy is the sum of the multiplication of the percentage invested in each stock and the rate of return of each stock under the state of the economy.

This can be calculated using the following formula:

Expected return under a state of the economy = (Percentage invested in Stock A * Return of Stock A under the state of the economy) + (Percentage invested in Stock B * Return of Stock B under the state of the economy) + (Percentage invested in Stock C * Return of Stock C under the state of the economy) …………… (1)

Since we have an equally weighted portfolio, this implies that percentage invested on each stock can be calculated as follows:

Percentage invested on each stock = 100% / 3 = 33.3333333333333%, or 0.333333333333333

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

Expected return under Boom = (0.333333333333333 * 0.09) + (0.333333333333333 * 0.03) + (0.333333333333333 * 0.39) = 0.17

Expected return under Bust = (0.333333333333333 * 0.28) + (0.333333333333333 * 0.34) + (0.333333333333333 * (-0.19)) = 0.143333333333333

Step 2: Calculation of expected return of the portfolio

This can be calculated using the following formula:

Portfolio expected return = (Probability of Boom Occurring * Expected Return under Boom) + (Probability of Bust Occurring * Expected Return under Bust) …………………. (2)

Substituting the relevant values into equation (2), we have::

Portfolio expected return = (0.71 * 0.17) + (0.29 * 0.143333333333333) = 0.162266666666667, or 16.2266666666667%

Rounding to 2 decimal places as required by the question, we have:

Portfolio expected return = 16.23%

Therefore, the expected return on the equally weighted portfolio of the three stocks is 16.23%.

b. What is the variance of a portfolio invested 16 percent each in A and B and 68 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.)

This can be calculated using the following 3 steps:

Step 1: Calculation of expected returns under each state of the economy

Using equation (1) in part a above, we have:

Expected return under Boom = (16% * 0.09) + (16% * 0.03) + (68% * 0.39) = 0.2844

Expected return under Boom = (16% * 0.28) + (16% * 0.34) + (68% * (-0.19)) = -0.03

Step 2: Calculation of expected return of the portfolio

Using equation (2) in part a above, we have:

Portfolio expected return = (0.71 * 0.2844) + (0.29 *(-0.03)) = 0.193224

Step 3: Calculation of the variance of the portfolio

Variance of the portfolio = (Probability of Boom Occurring * (Expected Return under Boom - Portfolio expected return)^2) + (Probability of Bust Occurring * (Expected Return under Bust - Portfolio expected return)^2) …………………….. (3)

Substituting the relevant values into equation (3), we have:

Variance of the portfolio = (0.71 * (0.2844 - 0.193224)^2) + (0.29 * (-0.03- 0.193224)^2) = 0.020352671424

Rounding to 6 decimal places as required by the question, we have:

Variance of the portfolio = 0.020353

Therefore, the variance of the portfolio is 0.020353.

Download pdf

7 0

3 years ago

Eric believes works hard he will meet management's goals and that if he meets management's goals, he will get a raise, which he

Elden [556K]

Answer:

Expectancy theory

Explanation:

Expectancy theory - is referred to as the approach in which individual work according to the defined goal. People are motivated to act in a certain way because they believe to have expected results from the way they have selected.

It also states that desirable outcomes of any behavior hold the motivation by other people

The three main components on which Expectancy theory work are:

- Expectancy

- Instrumentality

- valence

7 0

3 years ago

The national institute for standards and technology is within which federal agency?

maksim [4K]

Most likely the National Institute for Standards and Technology falls under the U.S. Department of Commerce

8 0

3 years ago

You have just applied for a 30year 100000 mortgage at a rate of 10%.what must be annual payment be?​

You have just applied for a 30year 100000 mortgage at a rate of 10%.what must be annual payment be?