Question

In: Finance

1. Jennifer just turned 23 and can save $500 per quarter, starting in three months. If...

1. Jennifer just turned 23 and can save $500 per quarter, starting in three months. If Jennifer can earn 7% compounded quarterly, what age will she be when she accumulates $1,000,000?

2. In 4 years, your son will be entering college and you would like to help financially. You decide to create a college fund and make four annual deposits, starting now. In four years, you would like your son to be able to make four annual withdrawals of $7,500 from the fund (at the beginning of each year) that will cover his annual tuition. If the college fund earns 3.6% compounded annually, how much must you deposit at the beginning of each year? Assume tuition remains the same for the four years your son is attending college.

Solutions

Expert Solution

Question 1

APR=I ( quarterly)

7%

n= number of periods (quarterly)

4

X( number of years)

?

Equal payments made

500

FV

1000000

x*n

73.1430497

NPER formula in excel

total number of periods(n)

73.1430497

number of years(x)

18.29

years

present age of jennifer

23

total number years

41.29

After reaching at the age of 41.29 years she accumulate 1000000

Question 2

Cash flow diagram

withdraw

7500

7500

7500

7500

1

2

3

4

1

2

3

4

770.42

770.42

770.42

770.42

PV

PMT

7500

APR=I or discount rate

3.60%

n= number of periods in year

1

X( number of years at begining )

4

years

PV of future cash flows after 4 years)

$28,472.20

PV formula in excel

now this amount FV to us (FV)

$28,472.20

amount to deposited each year

$7,770.24

PMT formula in excel

7770.24 Needs to be deposited at the beginning of each year


Related Solutions

You plan to save $340 per month starting today for the next 43 years "just to...
You plan to save $340 per month starting today for the next 43 years "just to start the month off right." You feel that you can earn an interest rate of 10 percent compounded monthly. How much will there be in the account 43 years from today?
Jennifer was just born and her parents have decided to save money to pay for her...
Jennifer was just born and her parents have decided to save money to pay for her college education.   They will invest $15,000 right now, and $10,000 each year on her future birthdays for the next 17 years (i.e. $10,000 when she turns 1, 2, 3,   … 16, 17). They are bullish on America and are investing all of this money in the stock market. The principal and returns are allowed to accumulate (i.e. are reinvested) in the equities market and...
1. If your salary is $ 1,500 per month and you save $ 500 per month,...
1. If your salary is $ 1,500 per month and you save $ 500 per month, your savings rate is 2. How much money should you invest today at 8% interest to get it to grow to $ 15,000 years? 3. What annual interest rate will make $ 500 increase to $ 1,948 in 12 years? 10 years
Consider a bond that pays a $500 dividend once a quarter. It pays in the months...
Consider a bond that pays a $500 dividend once a quarter. It pays in the months of March, June, September, and December. It promises to do so for 10 years after you purchase it (start in January 2019). You discount the future at rate r=0.005r=0.005 per month. a. How much do you value the asset in January 2019? b. Consider a different asset that pays a lump sum at its expiration date rather than a quarterly dividend of $500 dollars,...
Belle and the Beast want to retire in 10 years and can save $2,000 every three months.
  Belle and the Beast want to retire in 10 years and can save $2,000 every three months. They plan to deposit the money at the beginning of each quarter into an account paying 4% compounded quarterly. How much will Belle and the Beast have in 10 years?
Alex turned 30 today, and she is planning to save $5,500 per year for retirement, with...
Alex turned 30 today, and she is planning to save $5,500 per year for retirement, with the first deposit to be made 1 year from today. She will invest in a mutual fund that will provide a return of 4% per year. She plans to retire 30 years from today, when she turns 60, and she expects to live for 30 years after retirement, to age 90. Under these assumptions, how much can she spend in each year after she...
13. You have just turned 50 and you plan to save for retirement. You plan to...
13. You have just turned 50 and you plan to save for retirement. You plan to retire in 12 years. Once you retire you would like to have an income of $50,000 per year for the next 12 years. Determine the amount you must deposit at the beginning of each year to finance your retirement income. Use the following assumptions to determine this annual deposit: a. All savings compound at a rate of 5% per year. b. You make the...
You just turned 30 and decide that you would like to save up enough money so...
You just turned 30 and decide that you would like to save up enough money so as to be able to withdraw $75,000 per year for 20 years after you retire at age 65, with the first withdrawal starting on your 66th birthday. How much money will you have to deposit each month into an account earning 8% per year (interest compounded monthly), starting one month from today, to accomplish this goal? If possible, I want to see full math...
Your father turned 55 today, and he is planning to save $12,000 per year for his...
Your father turned 55 today, and he is planning to save $12,000 per year for his retirement (assume that he deposits this amount today and at the start of each year). These savings should earn 7.10% per annum. He plans to retire on the day he reaches his 64th birthday. He already has $584,000 in his retirement fund. After his retirement, his savings can be assumed to earn 6.40% per annum. Assuming he lives until his 85th birthday, how much...
Your sister turned 35 today, and she is planning to save $6,500 per year for retirement,...
Your sister turned 35 today, and she is planning to save $6,500 per year for retirement, with the first deposit to be made one year from today. She will invest in a mutual fund that will provide a return of 9.25% per year. She plans to retire 30 years from today, when she turns 65, and she expects to live for 25 years after retirement, to age 90. Under these assumptions, how much can she spend in each year after...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT