Derek currently has $11,769.00 in an account that pays 4.00%. He will withdraw $5,394.00 every other year beginning next year until he has taken 6.00 withdrawals. He will deposit $11769.0 every other year beginning two years from today until he has made 6.0 deposits. How much will be in the account 25.00 years from today?
Financial planning is an essential aspect of securing one’s future. In this scenario, we’ll explore Derek’s financial journey, where he has a significant sum of money in an account and plans to make regular withdrawals and deposits, all while earning interest. By the end of this 25-year journey, we will determine how much will be in Derek’s account.
Derek starts with $11,769.00 in an account that pays a 4.00% interest rate. This balance will serve as the foundation for his financial journey.
Derek plans to make withdrawals every other year, starting next year, for a total of 6 withdrawals. Each withdrawal amounts to $5,394.00. To calculate the total amount withdrawn over this period, we’ll use the formula for the future value of an annuity:
Future Value = Pmt x [(1 + r)^n – 1] / r
Where:
Pmt represents the periodic payment ($5,394.00)
r is the interest rate (4.00% or 0.04)
n is the number of withdrawals (6)
Using the formula, we find that Derek will withdraw a total of $40,547.15 over the 12-year withdrawal period.
Derek also plans to make deposits every other year, starting two years from today, for a total of 6 deposits. Each deposit amounts to $11,769.00. To calculate the total amount deposited over this period, we can use the same future value of an annuity formula:
Future Value = Pmt x [(1 + r)^n – 1] / r
Where:
Pmt represents the periodic payment ($11,769.00)
r is the interest rate (4.00% or 0.04)
n is the number of deposits (6)
Using this formula, Derek will deposit a total of $90,118.86 over the 12-year deposit period.
While Derek is making withdrawals and deposits, his account balance will continue to earn interest. To calculate the interest earned, we can use the compound interest formula:
Future Value = P * (1 + r)^t
Where:
P is the initial balance ($11,769.00)
r is the annual interest rate (4.00% or 0.04)
t is the time in years (25 years)
Using this formula, the account’s balance will grow to $28,924.71 from interest alone over the 25-year period.
To determine the final account balance, we need to sum up the initial balance, the withdrawals, the deposits, and the interest earned:
Final Balance = Initial Balance + Deposits – Withdrawals + Interest
Final Balance = $11,769.00 + $90,118.86 – $40,547.15 + $28,924.71
The final account balance will be $90,265.42.
Derek’s careful financial planning over 25 years has resulted in a substantial sum of money in his account. Through a combination of withdrawals, deposits, and interest earned, his account will grow to $90,265.42. This journey underscores the importance of strategic financial planning, as it can significantly impact one’s financial security and future stability.
As a renowned provider of the best writing services, we have selected unique features which we offer to our customers as their guarantees that will make your user experience stress-free.
Unlike other companies, our money-back guarantee ensures the safety of our customers' money. For whatever reason, the customer may request a refund; our support team assesses the ground on which the refund is requested and processes it instantly. However, our customers are lucky as they have the least chances to experience this as we are always prepared to serve you with the best.
Plagiarism is the worst academic offense that is highly punishable by all educational institutions. It's for this reason that Peachy Tutors does not condone any plagiarism. We use advanced plagiarism detection software that ensures there are no chances of similarity on your papers.
Sometimes your professor may be a little bit stubborn and needs some changes made on your paper, or you might need some customization done. All at your service, we will work on your revision till you are satisfied with the quality of work. All for Free!
We take our client's confidentiality as our highest priority; thus, we never share our client's information with third parties. Our company uses the standard encryption technology to store data and only uses trusted payment gateways.
Anytime you order your paper with us, be assured of the paper quality. Our tutors are highly skilled in researching and writing quality content that is relevant to the paper instructions and presented professionally. This makes us the best in the industry as our tutors can handle any type of paper despite its complexity.
Recent Comments