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


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