Simple Interest Investment: How Long Will It Take to Grow $550,000 to $720,000?

  • Context: MHB 
  • Thread starter Thread starter Needs help
  • Start date Start date
  • Tags Tags
    Business
Click For Summary
SUMMARY

Nathan invested $550,000 with ABC Financial at a simple interest rate of 6.75% per annum, which will take approximately 8.89 years to grow to $720,000. Nelle, investing with XYZ Financial, will have her investment double in the same timeframe, resulting in an interest rate of 8.25% per annum. Additionally, Jake's college fund, initiated with monthly deposits of $500 at a 4% annual interest rate compounded monthly, will accumulate to approximately $43,000 by the time he turns 20. If he waits until age 27 to attend college, the fund will grow to about $75,000, allowing for 48 equal monthly withdrawals of approximately $1,562.50.

PREREQUISITES
  • Understanding of simple interest calculations
  • Knowledge of compound interest and monthly compounding
  • Familiarity with financial formulas for future value
  • Basic financial literacy regarding investment growth
NEXT STEPS
  • Research "Simple Interest Formula" for investment growth calculations
  • Learn about "Compound Interest Calculations" for monthly deposits
  • Explore "Future Value of Annuities" for understanding withdrawal strategies
  • Investigate "Investment Strategies for College Funds" to optimize savings
USEFUL FOR

Individuals planning for long-term investments, financial planners, parents saving for college education, and anyone interested in understanding the impact of interest rates on savings growth.

Needs help
Messages
1
Reaction score
0
  1. (a) Nathan and Nelle (twins) got an inheritance of $550,000 upon turning twenty one. Nathan decides to invest his money with ABC Financial. If ABC Financial pays simple interest at a rate of 6.75% per annum, how long in years, will it take Nathan’s money to grow to $720,000?

(b) Nelle decided to invest her money with XYZ Financial. If XYZ Financial doubles the inheritance in the same amount of time that Nathan got his money, what was the interest rate charged by XYX Financial?
  1. Jake was born on January 1st 1992. On the last day of the month Jake’s mom opened a college fund for him by depositing $500 into an account that pays 4% per annum compounded monthly. She intends to deposit a similar amount on the last day of each month until Jake is 20 years old.

She will then stop depositing money into the account. However, she will leave the money in the account until Jake is ready to attend college.

  1. How much money will be in the account when Jake turns 20 years?

  1. If Jake has decided that he would begin attending college when he is 27. How much money would then be in the account?
  1. Jake intends to finance his college education by making forty eight (48) equal monthly withdrawals from the account. How much will each withdrawal be?
 
Physics news on Phys.org
Beer soaked request follows.
Needs help said:
  1. (a) Nathan and Nelle (twins) got an inheritance of $550,000 upon turning twenty one. Nathan decides to invest his money with ABC Financial. If ABC Financial pays simple interest at a rate of 6.75% per annum, how long in years, will it take Nathan’s money to grow to $720,000?

(b) Nelle decided to invest her money with XYZ Financial. If XYZ Financial doubles the inheritance in the same amount of time that Nathan got his money, what was the interest rate charged by XYX Financial?
  1. Jake was born on January 1st 1992. On the last day of the month Jake’s mom opened a college fund for him by depositing $500 into an account that pays 4% per annum compounded monthly. She intends to deposit a similar amount on the last day of each month until Jake is 20 years old.

She will then stop depositing money into the account. However, she will leave the money in the account until Jake is ready to attend college.

  1. How much money will be in the account when Jake turns 20 years?

  1. If Jake has decided that he would begin attending college when he is 27. How much money would then be in the account?
  1. Jake intends to finance his college education by making forty eight (48) equal monthly withdrawals from the account. How much will each withdrawal be?
Please show us what you have tried and exactly where you are stuck.

We can't help you if we don't where you are stuck.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 37 ·
2
Replies
37
Views
14K
Replies
20
Views
10K
  • · Replies 69 ·
3
Replies
69
Views
13K
  • · Replies 65 ·
3
Replies
65
Views
11K