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dlinn [17]
3 years ago
5

How long will it take for a $4000 investment to grow to $6000 at an annual rate of 15%, compounded monthly? Assume that no withd

rawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredth.
Business
1 answer:
Inessa05 [86]3 years ago
6 0

Answer:

It will take 2.72 years and 32.64 months.

Explanation:

Future value is the sum of principal amount and compounded interest amount invested on a specific rate for a specific period of time.

Use following formula to calculate the time period.

FV = PV x ( 1+ r )^n

FV = Future value = $6,000

PV = Present Value =  $4,000

r = rate of interest = 15% yearly = 15% / 12 = 1.25%

n = time period = ?

$6,000 = $4,000 x ( 1 + 1.25% )^n

$6,000 = $4,000 x ( 1.0125 )^n

$6,000 / $4,000 = ( 1.0125 )^n

1.5 = ( 1.0125 )^n

Log 1.5 = n log 1.0125

n = Log 1.5 / log 1.0125

n = 32.64 months

n = 2.72 years

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On January 1st, 20x1, Robert Company paid $92,278 for $100,000 of Evergreen Corp.'s 8% bonds that were available for sale. 12% is the market yield. Interest is paid on April 30 and October 31 of each year. Bush is a company with a calendar year. The right response is $4,556,500.

On December 31x1, Fox should declare $4,556,500.

Bonds are currently valued $4,580,000.

$50,000 Bonds are currently valued $4,530,000.

From July 1 to December 31, the discount is amortised over a six-month period: Bonds are currently valued $4,580,000.

$50,000 Bonds are currently valued $4,530,000.

From July 1 to December 31, the discount is amortised over a six-month period: Interest Income = $226.00 ($4,530,00% x 10% x 6/12)

In terms of interest-bearing quantities, $5,000,000 times 8% times six months is $200,000.

Interest revenue less interest due is equal to discounted interest.

Discount amortised is calculated as $226500 less $200000, or $2650.

As a result, $4,530,000 + $26,500 is the total that Fox must declare as of December 31, 2020, multiplied by one.

Thus, On December 31x1, Fox should declare $4,556,500.

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1 year ago
Suppose a company signs a three-year lease agreement. The lease payments have a present value of $40,000. Prior to signing the l
larisa [96]

Answer:

The balance of total assets, total liabilities, and total stockholders' equity is $640,000, $440,000 and $200,000 respectively.

Explanation:

The computation of the balance of total assets, total liabilities, and total stockholders' equity after considering the lease payment  is shown below:

For Total assets  

= Total assets balance + present value of lease payments

= $600,000 + $40,000

= $640,000

For Total liabilities

= Total liabilities balance + present value of lease payments

= $400,000 + $40,000

= $440,000

And, the total stockholders' equity is $200,000

While computing the stockholder equity, the lease payment does not have an impact on the stockholder equity so the balance would remain the same as before

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Explique la teoría del valor y de un ejemplo con algún bien o servicio de su uso cotidiano. (colombia)
emmasim [6.3K]

Answer:

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La economía política siempre ha tratado de responder a la pregunta: ¿de dónde viene el valor? Las respuestas fueron muy divergentes. Van desde la escasez de bienes disponibles, a su utilidad, a la necesidad de remunerar los factores productivos, incluido el capital y considerando su remuneración; - el beneficio - como recompensa por la abstinencia del capitalista, que puede permitirse renunciar al consumo para utilizar la propia riqueza de forma productiva, etc.

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What are the main purposes of a budget?
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In the context of business management, the purpose of budgeting includes the following three aspects:

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7 0
3 years ago
Read 2 more answers
With only a​ part-time job and the need for a professional​ wardrobe, Rachel quickly maxed out her credit card the summer after
choli [55]

Answer:

a. It will take her 5 years to pay for her wardrobe

b. She should shop for a new card once she is done paying for this one.

c. She should shop for a new card after finishing paying for this card since going further into debt with the current card would be a bad idea. This is due to the fact that an annual interest rate of 16% is very high. The best option would therefor to finish her payments on the credit card, then shop for a new card with a lower annual interest rate.

Explanation:

Use the formula below to determine the number of months it would take Rachel to pay off her debt;

C *{1-(1+r)^(-n×t)}/(r/n)=PV

where;

C=annuity

r=annual interest rate

n=number of compounding periods in a year

t=number of years

PV=present value

In our case;

PV=$10,574

C=$260

r=16%=16/100=0.16

n=12

t=unknown

replacing;

260*{1-(1+0.16/12)^(-12×t)}/(0.16/12)=10,574

1-(1+0.16/12)^(-12×t)={10,574×(0.16/12)}/260

1-{1.013^(-12 t)}=0.542

(1-0.542)=1.013^(-12 t)

ln 0.458=-12 t (ln 1.013)

t=-ln 0.458/12×ln 1.013

t=5

It will take her 5 years to pay for her wardrobe

b. She should shop for a new card once she is done paying for this one.

c. She should shop for a new card after finishing paying for this card since going further into debt with the current card would be a bad idea. This is due to the fact that an annual interest rate of 16% is very high. The best option would therefor to finish her payments on the credit card, then shop for a new card with a lower annual interest rate.

3 0
3 years ago
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