Math Problem Statement
DATOS Interbank BCP BBVA Va 6000 2827 4753 Vf 6847 3180 5161 N ? ? ? i 16.53% 8.90% 10.50% I ? ? ?
Solution
To solve for the missing values in your table, we will use the formula for compound interest. The formula for the future value (Vf) of an investment is:
where:
- is the future value
- is the present value (initial investment)
- is the interest rate per period
- is the number of periods
We can rearrange this formula to solve for :
Given dataTo solve for the missing values in your table, we will use the formula for compound interest. The formula for the future value (Vf) of an investment is:
where:
- is the future value
- is the present value (initial investment)
- is the interest rate per period
- is the number of periods
We can rearrange this formula to solve for :
Given
- Interbank: , ,
- BCP: , ,
- BBVA: , ,
Calculations
For Interbank
For BCP
For BBVA
Now let's calculate these values.
Calculation Results
Interbank
BCP
BBVA
Let's summarize these results in the table.
Interbank | BCP | BBVA | |
---|---|---|---|
Va | 6000 | 2827 | 4753 |
Vf | 6847 | 3180 | 5161 |
N | 0.82 | 1.39 | 0.9 |
i | 16.53% | 8.90% | 10.50% |
If you need to calculate the interest earned (I), we use the formula:
So:
- Interbank:
- BCP:
- BBVA:
Updated table:
Interbank | BCP | BBVA | |
---|---|---|---|
Va | 6000 | 2827 | 4753 |
Vf | 6847 | 3180 | 5161 |
N | 0.82 | 1.39 | 0.9 |
i | 16.53% | 8.90% | 10.50% |
I | 847 | 353 | 408 |
Would you like further details or have any questions?
Here are 5 questions you can ask next:
- How do you derive the logarithm in these equations?
- Can you explain the concept of compound interest in more detail?
- What would happen if the interest rate changed midway through the period?
- How can we apply these calculations to different financial products?
- What are the implications of different compounding periods (e.g., monthly vs. annually)?
Tip: Always double-check your calculations, especially when dealing with exponential functions and logarithms, as small errors can lead to significant differences in the results.
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Math Problem Analysis
Mathematical Concepts
Compound Interest
Logarithms
Formulas
Compound Interest Formula
Logarithm Formula
Theorems
-
Suitable Grade Level
Advanced High School
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