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gulaghasi [49]
2 years ago
8

You want $1,000,000 when you retire in 40 years. You decided to save some money every year next 40 years for your retirement. Yo

u are going to open Roth IRA and invest everything in Vanguard S&P 500 Funds that expect to earn 6 percent annually. If your contribution starts a year from today, how much must you contribute every year next 40 years? Round to the nearest cent. Do not include any unit (If your answer is $111.11, then type 111.11 without $ sign.)
You are starting your new career today after graduating. You decided to contribute $500 a month into a fund that is expected to earn 6 percent, compounded monthly. If you start the contribution a month from today for 30 years, how much will you have right after you contribute the last $500 in 30 years? Round to the nearest cent. Do not include any unit (If your answer is $111.11, then type 111.11 without $ sign.)
Business
1 answer:
Lemur [1.5K]2 years ago
3 0

Answer:

Instructions are listed below.

Explanation:

Giving the following information:

A) You want $1,000,000 when you retire in 40 years. It earns 6 percent annually.

We need to use the following version of the final value formula:

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

A= annual deposit

Isolating A:

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

FV= 1,000,000

n=40

i=0.06

A= (1,000,000*0.06) / [(1.06^40)-1]

A= $6,461.53

B) You decided to contribute $500 a month into a fund that is expected to earn 6 percent, compounded monthly. If you start the contribution a month from today for 30 years.

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

A= annual deposit

n= 30*12= 360

i= 0.06/12= 0.005

A= 500

FV= {500*[(1.005^360)-1]}/0.005= $502,257.52

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