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

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In summary, Nathan and Nelle (twins) received an inheritance of $550,000 when they turned 21. Nathan invested his money with ABC Financial, which pays simple interest at a rate of 6.75% per annum. It will take Nathan's money approximately 11 years to grow to $720,000.Nelle decided to invest her money with XYZ Financial, which doubles the inheritance in the same amount of time that Nathan's money takes to grow. Therefore, the interest rate charged by XYZ Financial is 100%.Jake's mom opened a college fund for him on the last day of January in 1992 with a $500 deposit. The account pays 4% per annum compounded monthly, and she intends
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  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?
 
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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?
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1. How is simple interest calculated for investments?

Simple interest is calculated by multiplying the principal amount (in this case, $550,000) by the interest rate (typically expressed as a decimal) and the number of years. The formula for simple interest is I = PRT, where I is the interest earned, P is the principal amount, R is the interest rate, and T is the time in years.

2. What is the interest rate needed to grow $550,000 to $720,000?

To determine the interest rate needed, we can rearrange the formula for simple interest to solve for R. In this case, R = (I/P)/T. Plugging in the values of I = $720,000 - $550,000 = $170,000, P = $550,000, and T = the number of years, we can solve for the interest rate. For example, if we want to grow $550,000 to $720,000 in 5 years, the interest rate needed would be 6.18%.

3. How long will it take to grow $550,000 to $720,000 with a 5% interest rate?

To determine the time needed, we can rearrange the formula for simple interest to solve for T. In this case, T = (I/P)/R. Plugging in the values of I = $720,000 - $550,000 = $170,000, P = $550,000, and R = 5%, we can solve for the time needed. In this case, it would take approximately 10.58 years to grow $550,000 to $720,000 with a 5% interest rate.

4. Is simple interest the most effective way to grow investments?

Simple interest is a straightforward and easy way to calculate interest earned on an investment. However, it may not be the most effective way to grow investments as it does not take into account compounding interest. Compound interest, where interest is earned on both the principal and the accumulated interest, can result in higher returns over time.

5. Are there any additional factors to consider when calculating the growth of an investment?

In addition to the initial principal amount, interest rate, and time, there are other factors that can affect the growth of an investment. These include any fees or expenses associated with the investment, inflation, and market fluctuations. It is important to consider these factors when making investment decisions and to regularly review and adjust your investment strategy as needed.

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