In: Finance
After 18 years, how much money will we have for the university education for our 3 children? If we invest in the given below option:
Current savings to be invested = $20,000
semi-monthly contribution of $150 at the end of each period, set aside for the next 18 years = $150 (semi-monthly contribution)
average annual rate of return compounded semi-monthly = 8%
Please use (display + name) the excel function/ formula for all questions
Ans. University savings plan | |
APR | 8.00% |
period rate | |
current savings | |
semi-monthly contributions | -$150.00 |
#periods | |
Amount available after 18 years: |
Q2)
We have 3 children. Our objective is to give each child $25,000 at the beginning of each year of their engineering college ($75,000 in total per year) for 4 years. How much money would we need to have available in our university education savings fund 18 years from now based on an annual interest rate of 8%? (Also compounded semi-monthly).
Please use (display + name) the excel function/ formula for all questions
Ans 2. money needed in fund | |
period rate | |
payments | -$75,000.00 |
#periods | |
Amount needed 18 years from now: |
Ques 3. If our semi-monthly contribution of $150 is not enough to meet our target, how much would we have to contribute to the university savings fund on a semi-monthly basis? (to have the required amount needed when children start college).
Please use (display + name) the excel function/ formula for all questions
Ans 3. required contribution | |
period rate | |
#periods | |
Required semi-monthly contribution: |
Ans. University savings plan | |
APR | 8.00% |
period rate | 0.3333% |
current savings | -20000 |
semi-monthly contributions | ($150.00) |
#periods | 432 |
Amount available after 18 years: | $228,689.05 |
Ans 2. money needed in fund | |
period rate | 0.0816 |
payments | ($75,000.00) |
#periods | 4 |
Amount needed 18 years from now: | $267,725.62 |
Ans 3. required contribution | |
APR | 8.00% |
period rate | 0.3333% |
current savings | -20000 |
Amount required after 18 years: | $267,725.62 |
#periods | 432 |
semi-monthly contributions | ($190.53) |
Workings