Greatest Balance After 8 Years: Compounded Interest Homework

  • Thread starter Thread starter imull
  • Start date Start date
  • Tags Tags
    Interest
Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
2 replies · 4K views
imull
Messages
40
Reaction score
0

Homework Statement


Assume that you can earn 6% on an investment, compounded daily. Which of the following options would yield the greatest balance after 8 years?
-$20,000 now
-$30,000 after 8 years
-$8000 now and $20,000 after 4 years
-$9000 now, $9000 after 4 years, and $9000 after 8 years


Homework Equations


A=P(1+r/n)^n

The Attempt at a Solution


I understand how to use the equation, where P is the investment, r is the interest rate, and n is the number of times interest is compounded, but I don't understand the last three choices. What does it mean by "$9000 now, $9000 after 4 years, and $9000 after 8 years"?
 
Physics news on Phys.org
imull said:

Homework Statement


Assume that you can earn 6% on an investment, compounded daily. Which of the following options would yield the greatest balance after 8 years?
-$20,000 now
-$30,000 after 8 years
-$8000 now and $20,000 after 4 years
-$9000 now, $9000 after 4 years, and $9000 after 8 years


Homework Equations


A=P(1+r/n)^n

The Attempt at a Solution


I understand how to use the equation, where P is the investment, r is the interest rate, and n is the number of times interest is compounded, but I don't understand the last three choices. What does it mean by "$9000 now, $9000 after 4 years, and $9000 after 8 years"?
You invest $9000 now, you invest another $9000 four years from now, and you invest another $9000 eight years from now.
 
Okay. I was sort of thinking that, but I wanted to be completely sure. Many thanks!