In: Finance
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.
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
|
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 |