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sladkih [1.3K]
3 years ago
14

What is the value today of a money machine that will pay $2,655.00 every six months for 27.00 years? Assume the first payment is

made six months from today and the interest rate is 13.00%
Business
1 answer:
MAVERICK [17]3 years ago
3 0

Answer:

Present value is $74,116.62

Explanation:

Giving the following information:

The machine pays= $2,655.00 every six months

n= 27 years= 54 semesters

Interest rate= 0.13/2= 0.065

First, we need to calculate the final value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual pay

FV= {2,655*[(1.065^54)-1]}/0.065= $1,183,854.61

Now, we can calculate the present value using the following formula:

PV= FV/(1+i)^n

PV= 1,183,854.61/(1.065)^44= $74,116.62

You might be interested in
Hook Industries's capital structure consists solely of debt and common equity. It can issue debt at rd = 11%, and its common sto
ANTONII [103]

Answer:

16.30%

Explanation:

Calculation for what the percentage of the company's capital structure consists of debt

Using this formula

rs=D1/P0+g

First step is to find the D1 using this formula

D1=(1+Dividend expected grow constant rate) *+Dividend per share

Let plug in the formula

D1=(1+0.07)*$2.00

D1=1.07*$2.00

D1=$2.14

Now let find the percentage of the company's capital structure Using this formula

rs=D1/P0+g

Let plug in the formula

rs=$2.14/$23.00+0.07

rs=0.09304947+0.07

rs=0.1630*100

rs=16.30%

Therefore the percentage of the company's capital structure consists of debt will be 16.30%

5 0
3 years ago
On October 1, 20X6, Susan Thompson opened Thompson Decorating Services, a sole proprietorship. Susan began operations with $50,0
galben [10]

Answer: income statement: Net income $5,100, Statement of owners Equity :Total $35,100, Balance sheet : Total Liabilities $53,200, Total Asset $53,200

Explanation:

Thompson Decoration Services

Income Statement for the month ended 31 st October 20X6

$

Revenue. 18,300

Less Expenses

Salaries. 8,700

Advertising 2,500

Less: outstanding 700

-------

1,800

Taxes. 150

Postage. 1,800

Utilities. 100

Interest. 450

Miscellaneous. 200

------------

13,200

--------------

Net income. 5,100

-----------------

Statement of owners Equity for the month ended 31st October 20X6

Common Stock. Paid in capital. Retained Earnings Treasury stock Total

Balance Oct 1. 30,000. 30,000

Issued share for cash. - - - - -

Purchase of treasury stock - - - - -

Net income. - - 5,100. 5,100

Cash dividend. - - - - -

Stock dividend. - - - - -

------ ------ --------- ---------- -------------

Balance on Oct 31. - - 5,100 - 35,100

---------- -------- -------- ---------- --------------

Thompson Decoration Service

Balance sheet for the month ended 31st October 20X6

$

Current Asset

Debtors. 4,100

Account Receivable 14,200

-----------

Total Current Asset. 18,300

Fixed Asset

Van. 16,000

Office Equipment. 4,000

Furnishing. 14,900

-----------

Total Fixed Asset. 34,900

--------------

Total Asset. 53,200

---------------

Long term Liabilities

Capital. 30,000

Add: Net income 5,100

----------

35,100

Less: Drawing. 5,500

-----------

29,600

Loan. 20,000

-----------

Total Long term Liabilities 49,600

Current Liabilities

Outstanding 2,800

Interest. 450

Taxes. 150

Miscellaneous 200

--------------

Total Current Liabilities 3,600

--------------

Total Liabilities. 53,200

----------------

4 0
3 years ago
Read 2 more answers
A building that settles unevenly after an earthquake is evidence of _____.
Viefleur [7K]
The Answer Is In Fact "Liquefaction".

Hope I Helped :) 
4 0
3 years ago
Read 2 more answers
Which statement best describes the difference between a market and traditional economy
icang [17]

Answer:  in a traditional economy, decisions are based on habit and custom

Explanation:

4 0
1 year ago
You are considering a car loan with a stated APR of 5.42​% based on monthly compounding. What is the effective annual rate of th
Anon25 [30]

Answer:

The effective annual rate is 5.57%

Explanation:

The interest rate that is actually earned or paid on investment or loan including the compounding effect over a given period of time. It is also known as rate.

Effective interest rate = [ ( 1 + r/m )^m ] - 1

Effective interest rate = [ ( 1 + 5.42%/12 )^12 ] - 1

Effective interest rate = [ ( 1 + 0.0542/12 )^12 ] - 1

Effective interest rate = 0.055567 x 100

Effective interest rate = 5.5667% = 5.57%

6 0
3 years ago
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