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The interest paid on the same sum yielding 3%, 4%, and 5% compound interest for 3 consecutive year respectively. What is the average yield percent on the total sum invested?
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The interest paid on the same sum yielding 3%, 4%, and 5% compound int...
Calculation of Average Yield Percent
1. Calculation of Interest
- Let's assume the principal sum is $100.
- The interest paid at 3% for 3 years = $100 * (1+0.03)^3 - $100 = $9.27
- The interest paid at 4% for 3 years = $100 * (1+0.04)^3 - $100 = $12.48
- The interest paid at 5% for 3 years = $100 * (1+0.05)^3 - $100 = $15.76
2. Calculation of Average Yield Percent
- Total interest earned = $9.27 + $12.48 + $15.76 = $37.51
- Average yield percent = Total interest earned / Total principal * 100
- Average yield percent = $37.51 / $300 * 100 = 12.50%
Therefore, the average yield percent on the total sum invested is 12.50%. This means that on average, the investment yielded 12.50% interest over the 3-year period.
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The interest paid on the same sum yielding 3%, 4%, and 5% compound interest for 3 consecutive year respectively. What is the average yield percent on the total sum invested?
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