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777dan777 [17]
3 years ago
13

You are saving for retirement. To live​ comfortably, you decide you will need to save $ 1million by the time you are 65.Today is

your 29 th​birthday, and you​ decide, starting today and continuing on every birthday up to and including your 65 th​birthday, that you will put the same amount into a savings account. If the interest rate is 8 %​,how much must you set aside each year to make sure that you will have $ 1million in the account on your 65 th​birthday?
Business
1 answer:
kozerog [31]3 years ago
8 0

Answer:

Monthly pay= 5344.67

Explanation:

Giving the following information:

To live​ comfortably, you decide you will need to save $ 1million by the time you are 65.

Today is your 29th ​birthday, and you​ decide to put the same amount into a savings account. If the interest rate is 8%​.

How much must you set aside each year?

n= 36

i= 0.08

FV= 1,000,000

We need to use the following formula:

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

We need to isolate A (monthly pay):

<u>A= (FV*i)/[(1+i)^n-1]</u>

A= (1000000*0.08)/(1.08^36-1)

A= 80000/14.96817184

A= 5344.67

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Answer:

It will take 1 year and 307 days to cover the initial investment.

Explanation:

Giving the following information:

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Cf3= $6,300

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<u>The payback period is the time required to cover the initial investment. We need to discount each cash flow.</u>

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Year 1= 4,200/1.15 - 6,900= -3,247.83

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