CFA Institute CFA-Level-I Exam - Topic 1 Question 12 Discussion
If you have $5,000 in an account today and withdraw $2,000 in 3 years, how much can you withdraw from the account in 5 years, if the account earns interest at 8% per year, compounded annually?
C) $4,407.98
A) $3,000.00
B) $5,013.84
D) $5,714.93
E) $2,000.00
CFA Institute CFA-Level-I Exam - Topic 1 Question 12 Discussion
Actual exam question for
CFA Institute's
CFA-Level-I exam
If you have $5,000 in an account today and withdraw $2,000 in 3 years, how much can you withdraw from the account in 5 years, if the account earns interest at 8% per year, compounded annually?
I think we just need to calculate the total amount after 5 years and then subtract the $2,000. But I’m not entirely confident about the compounding part.
I remember a similar question where we had to find the amount left after a withdrawal. I think we should first find the amount after 3 years before the withdrawal.
This is a good opportunity to practice compound interest calculations. I'll sketch out the timeline and the formulas to make sure I have the right approach.
Okay, let's think this through step-by-step. We have the initial amount, the withdrawal, the interest rate, and the time period. I think I can work this out.
Hmm, I wonder if the interest is compounded monthly or daily instead of annually. That could make a difference. I'll have to read the question carefully.
Wait, wait, wait. What if I decide to withdraw the $2,000 in 4 years instead of 3? Will that change the final answer? I better double-check the details.
This seems like a straightforward interest calculation problem. I just need to figure out the balance after 5 years and then subtract the $2,000 withdrawal. Easy peasy!
Okay, let's see. If I have $5,000 and withdraw $2,000 in 3 years, and the account earns 8% interest annually, that means I'll have more than $5,000 left in 5 years. I'll just need to calculate the exact amount.
Dortha
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