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tensa zangetsu [6.8K]
3 years ago
12

A mortgage requires you to pay $70,000 at the end of each of the next eight years. The interest rate is 8%. a. What is the prese

nt value of these payments? b.Calculate for each year the loan balance that remains outstanding, the interest payment on the loan, and the reduction in the loan balance.
Business
1 answer:
rewona [7]3 years ago
5 0

Answer:

a. $402,264

b. Working for each year the loan balance that remains outstanding, the interest payment on the loan, and the reduction in the loan balance is made in an MS Excel file which attached with this answer. Please find it.

Explanation:

a.

Present value of these payments can be calcullated by following formula

P = r ( PV ) / 1 - ( 1 + r )^-n

P = payment per year = $70,000

r = rate per period = 8%

n = number years = 8 years

PV =  present value of all payments = ?

$70,000 = 8% x PV / 1 - ( 1 + 8% )^-8

$70,000 = 0.08 x PV / 1 - ( 1.08 )^-8

$70,000 = 0.08 x PV / 0.45973

$70,000 x 0.45973 = 0.08 x PV

$32,181 = 0.08 x PV

PV = $32,181 / 0.08

PV = 402,263.75

Download xlsx
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Nichols Inc. is considering a project that has the following cash flow data. What is the project's IRR? Note that a project's IR
PolarNik [594]

Answer:

a. 9.43%

Explanation:

IRR is the rate of return that makes initial investment equal to present value of cash inflows

Initial investment = Annuity*[1 - 1 /(1 + r)^n] /r

1250 = 325 * [1 - 1 / (1 + r)^5] /r

Using trial and error method, i.e., after trying various values for R, lets try R as 9.43%

1250 = 325 * [1 - 1 / (1 + 0.0943)5] /0.0943

1250 = 325 * 3.846639

1250 = 1,250

Therefore, The project IRR is 9.43%

3 0
3 years ago
If you put $700 in a savings account with a 10% nominal rate of interest compounded monthly, what will the investment be worth i
aksik [14]
<span>To find the compound interest of an investment you have to use this formula, A = P(1 + r/n)^nt, where A is the total amount you have after the investment period, P is the amount you invest or the amount you put in, r is the rate of the of the compound interest in this case 10%, n is the amount of time the interest will be compounded for example, 4 months a year(quarterly) or 6 months a year(semi annually), and t is the amount of time you invest in years. So in this case you are going to substitute everything in the formula with their given value. So P = $700, r = 10%, n = 21 (because it is the number of months we invest for), and t = 2 years (because 21 months fit perfectly in 2 years, and t must always be in years). The resulting formula will be A = $700(1 + 0.1/21)^(21 x 2), which will give you an answer of $855 rounded to the nearest dollar.</span>
8 0
3 years ago
Which of the following is true of water budgets?
zysi [14]

Answer:

B. In the winter, when water use is low, precipitation exceeds evapotranspiration

Explanation:

A water budget can be seen as the relationship between the inflow and outflow of water through a specified region.  It gives a general Idea of the relationship between the demand and supply of water in that region.

Evapotransipration is the loss of water from the soil through evaporation from the soil and other surfaces and by transpiration from plants, while precipitation refers to  rain, snow, sleet, or hail that falls to the ground.

During winters due to the cold temperatures, the rate of water loss from the soil and from plants is much lower than the amount of precipitation which is on form of snow.

Snow covers most of the soil, freezing the soil water at the surface of the soil, making it difficult for evapotranspiration to occur. In addition to that, most deciduous trees shed their leaves during this period further reducing the total amount of transpiration in that region.

This makes option B correct

3 0
3 years ago
As a rule of thumb, how often should an entrepreneur reevaluate her compensation package?
shusha [124]

Answer:

12 months

Explanation:

The fiscal or financial period of a business lasts for 12 months or one year. It means that at the end of that  12 months, the business prepares its financial statement to determine its profitability. The business assesses its growth, success, and failure for the period.

After evaluating performance, planning for the next period of 12 months begins. The entrepreneur prepares a budget for the year, including their compensation. Compensation for the entrepreneur should be budgeted and reviewed every year together with the other budget items.

7 0
3 years ago
Read 2 more answers
Free Spirit’s marketing and sales director doesn’t think that the firm’s market is big enough for the firm to break even. In fac
Dafna11 [192]

Answer:

$60.75

Explanation:

your question seems incomplete. here is the full question used in answering this question

Free Spirit Industries Inc. is considering a project that will have fixed costs of $10,000,000. The product will be sold for $41.50 per unit, and will incur a variable cost of $10.75 per unit. p na r so Free Spirit's marketing and sales director doesn't think that the firm's market is big enough for the firm to break even. In fact, she believes that the firm will be able to sell only about 200,000 units. However, she also thinks that the demand for Free Spirit's product is relatively inelastic (so the firm can increase the sales price without significantly decreasing the volume of product sold). Assuming that the firm can sell 200,000 units, what price must it set to break even? O $57.71 per unit O $72.90 per unit O $60.75 per unit O $66.83 per unit

Breakeven price = (fixed cost / quantity sold) + variable price per unit

($10,000,000 / 200,000) + $10.75 = $60.75

8 0
3 years ago
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