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ANTONII [103]
3 years ago
5

You put aside $300 a month in an account that returns 9% a year, compounded monthly. How long do you need to contribute to save

$1,000,000
Business
2 answers:
mrs_skeptik [129]3 years ago
6 0

Answer:

436 months or 36.33 years

Explanation:

monthly principal P = $300

Amount to be obtained A = $1,000,000

ROI per annum R% = 9%

or ROI per month r% = 9/12 = 0.75%

and n = no. of months

We know that

A= P(1+\frac{r}{100})^n

plugging values we get

1,000,000= 300(1+\frac{0.75}{100})^n

solving the above equation we get

n = 436 months

which is equal to 36.33 years.

Anettt [7]3 years ago
5 0

Answer:

36 years 4 months and 2 days

Explanation:

Data provided in the question:

Monthly payment = $300

Rate of return, i = 9% = 0.09

Future value = $1,000,000

Now,

we know

Future value = Monthly payments × \left[ \frac{(1+i)^{n}-1}{i} \right]

or

1000000  = $300 × \left[ \frac{(1+0.0075)^{ }-1}{ 0.0075 }

or

\frac{ 1000000}{ 300} &= \frac{ 1.0075^{n} - 1}{ 0.0075}

3333.33333 &= \frac{ 1.0075^{n} - 1}{ 0.0075}

1.0075^{n} - 1 &= 3333.33333 \times0.0075

or

1.0075ⁿ - 1 = 25

or

1.0075ⁿ = 26

ln( 1.0075ⁿ) = ln(26)

or

n × ln( 1.0075 ) = ln(26)

or

n = [tex]\frac{ \ln (26) }{ \ln( 1.0075 ) }[tex]

or

n = 436.04  months

or

n = 36 years 4 months and 2 days

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Rouse Corporation's December 31, 2012 balance sheet showed the following: 8% preferred stock, $20 par value, cumulative, 20,000
Scorpion4ik [409]

Answer:

See bellow

Explanation:

With regards to the above, Rouse total stockholder's equity is computed as;

= Preferred stock + common stock + paid in capital in excess of par (preferred stock and common stock) + retained earnings - Treasury stock

= $150,000 + $1,950,000 + $60,000 + $27,000,000 + $7,650,000 - $630,000

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3 years ago
A vendor asks its business partners to place logos or banners on their Web sites. If customers click on a logo, visit the vendor
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3 0
3 years ago
You are attempting to value a call option with an exercise price of $100 and one year to expiration. The underlying stock pays n
natka813 [3]

Answer:

$18.18

Explanation:

Calculation to determine the call option's value using the two-state stock price model

Based on the information given since the two possible stock prices are: S+ = $130 Increase and and S- = $70 decrease which means that If the exercise price is the amount of $100 the first step will be to determine the corresponding two possible call values.

First step is to determine the corresponding two possible call values.

Hence, the corresponding two possible call values are:

Cu = ($130-$100) and Cd = $0

Cu = $30 and Cd = $0

Second step is to Calculate the hedge ratio using this formula

Hedge ratio= (Cu - Cd)/(uS0 - dS0)

Hedge ratio= (30- 0)/(130 - 70)

Hedge ratio=30/60

Hedge ratio= 0.50

Third step is form the cost of the riskless portfolio and end-of-year value

Cost of the riskless portfolio = (S0 - 2C0)

Cost of the riskless portfolio = 100 - 2C0

End-of-year value =$70

Fourth step is to calculate the present value of $70 with a one-year interest rate of 10%:

Present value=$70/1.10

Present value= $63.64

Now let estimate the call option's value by first Setting the value of the hedged position to equal to the present value

Call option's value=$100 - 2C0 = $63.64

Hence,

C0=$100-$63.64/2

C0=$36.36/2

C0=$18.18

Therefore the call option's value using the two-state stock price model will be $18.18

3 0
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Answer:

option b. EBIT is more sensitive to changing sales​ levels; it​ increases/decreases about twice as much as sales.

A Change in Sales the  will lead to a great change in EBIT

that is for a percent change in sales, will lead to a greater change in EBIT

Explanation:

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