Question

Johnnie is about to graduate and will turn 22 years old in a few months. He decides it is time to plan for the future with a retirement fund. He finds an investment plan paying 10% annually, compounded monthly. He wants to make monthly deposits starting the month after his birthday and ending 40 years later on his 62nd birthday. He wants to accumulate $2,000,000 at that time. a. How much should her monthly deposits be to reach that goal? b. After 20 years he looks at the situation and decides he is going to need to have accumulated $3.000.000 by the end instead. How much does he need to deposit each month in the remaining 20 years to reach this revised goal? (Note: this part is trickier than it seems.) Use Future Worth calculations for this problem

          Johnnie is about to graduate and will turn 22 years old in a few months. He
decides it is time to plan for the future with a retirement fund. He finds an
investment plan paying 10% annually, compounded monthly. He wants to
make monthly deposits starting the month after his birthday and ending 40
years later on his 62nd birthday. He wants to accumulate $2,000,000 at that
time.
a. How much should her monthly deposits be to reach that goal?
b. After 20 years he looks at the situation and decides he is going to need to
have accumulated $3.000.000 by the end instead. How much does he need to
deposit each month in the remaining 20 years to reach this revised goal?
(Note: this part is trickier than it seems.)
Use Future Worth calculations for this problem
        
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johnnie is about to graduate and will turn 22 years old in a few months he decides it is time to plan for the future with a retirement fund he finds an investment plan paying 10 annually com 37252

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Principles of Economics
Principles of Economics
Gregory Mankiw 8th Edition
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Johnnie is about to graduate and will turn 22 years old in a few months. He decides it is time to plan for the future with a retirement fund. He finds an investment plan paying 10% annually, compounded monthly. He wants to make monthly deposits starting the month after his birthday and ending 40 years later on his 62nd birthday. He wants to accumulate $2,000,000 at that time. a. How much should her monthly deposits be to reach that goal? b. After 20 years he looks at the situation and decides he is going to need to have accumulated $3.000.000 by the end instead. How much does he need to deposit each month in the remaining 20 years to reach this revised goal? (Note: this part is trickier than it seems.) Use Future Worth calculations for this problem
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Transcript

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00:01 All right, i'm gonna zoom up for first things first.
00:03 If it is advised to spend between 70 and 80% of your annual income, we'll see what that ranges if we take 88,000 and multiply by 60% as a decimal and multiply it by 70% as a decimal.
00:19 If you won't fly by 60% it's 52,800 a few multiplied by 70%.
00:24 I believe it's 61,600 double checking.
00:29 And yes, it is $61,600.
00:32 Okay, so that's the range.
00:34 Now, if we're looking at part b, we need to use the continuous compounding formula to find out how much he will have at age 61.
00:42 62.
00:43 Here is that formula in this i use the letter l but you're probably more used to seeing the letter p, um, which is basically the amount of principle.
00:52 However, the amount of money who have.
00:55 And so you take the initial mouth, multiply it by that percent is raised to this power.
01:00 Uh and then this is after one year.
01:03 This is after two years.
01:05 So after one year, he would have $411,769.84 after two years.
01:12 $423,885...
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