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Ilia_Sergeevich [38]
3 years ago
11

So you can retire early, you have decided to start saving $500 a month starting one month from now. You plan to retire as soon a

s you can accumulate $1 million. If you can earn 5 percent on your savings, how many years will it be before you can retire?
Business
1 answer:
Mashcka [7]3 years ago
8 0

Answer:

It will take him 45 years

Explanation:

In this question, we are asked to calculate the number of years it would take to accumulate $1,000,000 if there is a plan to save $500 per month at an interest rate of 5%.

To solve this, we use the following mathematical formula:

Future value of annuity = Annuity payment * {(1+r)^n - 1}/r

Where r is the monthly interest rate and n is the number of months it will take.

From the question, we can identify the following;

Since he earns 5% interest on savings, the actual monthly interest rate will be 5%/12 = 0.4167% = 0.004167

Annuity payment = monthly payment = $500

Future value of annuity = $1,000,000

We substitute these values into the equation:

1,000,000 = 500 * [(1+0.004167)^n - 1]/0.004167

8.334 = (1.004167)^n - 1

1+8.334 = (1.004167)^n

9.334 = (1.004167)^n

To get n, we simply take the log on both sides of the equation

Log 9.334= nLog 1.004167

n = Log9.334/Log1.004167

n = 537 months

Question asks to calculate in years

there are 12 months in a year. The number of years it will take will be 537/12 = 44.76 years and that’s approximately 45 years

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8 0
3 years ago
You have $140,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expect
dedylja [7]

Answer:

Amount investment in Sock Y = - $126,000

Beta of portfolio = 1.636

Explanation:

Data provided in the question:

Total amount to be invested = $140,000

Stock                          X       Y

Expected return       14%     10%

Beta                          1.42     1.18

Expected return of portfolio = 17.6%

Now,

let the weight invested n stock X be W

therefore,

Weight of Stock Y = 1 - W

thus,

( W × 14% ) + (1 - w) × 10% = 17.6 %

or

14W + 10% - 10W = 17.6%

or

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W = 1.9

Therefore,

weight of Y = 1 - 1.9 = -0.9

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Amount investment in Sock Y = Total amount to be invested × Weight

= 140,000 × ( - 0.9 )

= - $126,000 i.e short Y

Beta of portfolio = ∑ (Beta × Weight)

= [ 1.42 × 1.9 ] + [ 1.18 × (-0.9) ]

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6 0
3 years ago
Which of the following is a common human relations mistake?
telo118 [61]

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Which of the following would be the most appropriate identifier for a memory location that will store the amount of rainfall for
tino4ka555 [31]

amountOfRain would be the most appropriate identifier for a memory location that will store the amount of rainfall for a given period of time.

<u>Explanation:</u>

A set of characters in a sequence that helps in the identification  any value or a set of set is known as identifiers. Identifiers are unique in nature. A character sequence that is given for storing a set of data should not be given to store another set of data.

They are useful in referencing a variable from which the data or values that are contained in that particular variable can be easily retrieved. For example a variable can be indicated by an identifier totalAmount in which the value stored  is 56000. The starting name of the variable should be given in smaller case letter and second name should be in capital letter.  For instance if you are going to store the value 45 in the variable amountoftime then the variable name should be given as amountOfTime.

4 0
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An asset (not an automobile) put in service in June 2019 has a depreciable basis of $1,035,000, a recovery period of 5 years, an
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Answer:

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7 0
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