

Here's the yearly breakdown of the compound interest growth for years 1 through 10:
Year 1:
- Principal Amount: $10,000
- Interest Rate: 10% or 0.1
- Number of Years: 1
- Future Value Calculation:
[ A = 10000(1 + 0.1)^1 ]
[ A = 10000(1.1)^1 ]
[ A = 10000 \times 1.1 ]
[ A = 11000 ]
So, at the end of the first year, your investment will grow to $11,000.
Year 2:
- Principal Amount: $11,000 (the new future value from the end of Year 1)
- Interest Rate: 10% or 0.1
- Number of Years: 1
- Future Value Calculation:
[ A = 11000(1 + 0.1)^1 ]
[ A = 11000(1.1)^1 ]
[ A = 11000 \times 1.1 ]
[ A = 12100 ]
So, at the end of the second year, your investment will grow to $12,100.
Year 3:
- Principal Amount: $12,100 (the new future value from the end of Year 2)
- Interest Rate: 10% or 0.1
- Number of Years: 1
- Future Value Calculation:
[ A = 12100(1 + 0.1)^1 ]
[ A = 12100(1.1)^1 ]
[ A = 12100 \times 1.1 ]
[ A = 13310 ]
So, at the end of the third year, your investment will grow to $13,310.
Year 4:
- Principal Amount: $13,310 (the new future value from the end of Year 3)
- Interest Rate: 10% or 0.1
- Number of Years: 1
- Future Value Calculation:
[ A = 13310(1 + 0.1)^1 ]
[ A = 13310(1.1)^1 ]
[ A = 13310 \times 1.1 ]
[ A = 14641 ]
So, at the end of the fourth year, your investment will grow to $14,641.
Year 5:
- Principal Amount: $14,641 (the new future value from the end of Year 4)
- Interest Rate: 10% or 0.1
- Number of Years: 1
- Future Value Calculation:
[ A = 14641(1 + 0.1)^1 ]
[ A = 14641(1.1)^1 ]
[ A = 14641 \times 1.1 ]
[ A = 16095.1 ]
So, at the end of the fifth year, your investment will grow to $16,095.1.
Year 6:
- Principal Amount: $16,095.1 (the new future value from the end of Year 5)
- Interest Rate: 10% or 0.1
- Number of Years: 1
- Future Value Calculation:
[ A = 16095.1(1 + 0.1)^1 ]
[ A = 16095.1(1.1)^1 ]
[ A = 16095.1 \times 1.1 ]
[ A = 17706.61 ]
So, at the end of the sixth year, your investment will grow to $17,706.61.
Year 7:
- Principal Amount: $17,706.61 (the new future value from the end of Year 6)
- Interest Rate: 10% or 0.1
- Number of Years: 1
- Future Value Calculation:
[ A = 17706.61(1 + 0.1)^1 ]
[ A = 17706.61(1.1)^1 ]
[ A = 17706.61 \times 1.1 ]
[ A = 19478.471 ]
So, at the end of the seventh year, your investment will grow to $19,478.47.
Year 8:
- Principal Amount: $19,478.47 (the new future value from the end of Year 7)
- Interest Rate: 10% or 0.1
- Number of Years: 1
- Future Value Calculation:
[ A = 19478.47(1 + 0.1)^1 ]
[ A = 19478.47(1.1)^1 ]
[ A = 19478.47 \times 1.1 ]
[ A = 21466.7217 ]
So, at the end of the eighth year, your investment will grow to $21,466.72.
Year 9:
- Principal Amount: $21,466.72 (the new future value from the end of Year 8)
- Interest Rate: 10% or 0.1
- Number of Years: 1
- Future Value Calculation:
[ A = 21466.72(1 + 0.1)^1 ]
[ A = 21466.72(1.1)^1 ]
[ A = 21466.72 \times 1.1 ]
[ A = 23633.584 ]
So, at the end of the ninth year, your investment will grow to $23,633.58.
Year 10:
- Principal Amount: $23,633.58 (the new future value from the end of Year 9)
- Interest Rate: 10% or 0.1
- Number of Years: 1
- Future Value Calculation:
[ A = 23633.58(1 + 0.1)^1 ]
[ A = 23633.58(1.1)^1 ]
[ A = 23633.58 \times 1.1 ]
[ A = 25957.138 ]
So, at the end of the tenth year, your investment will grow to $25,957.14.
This breakdown shows how your investment grows each year due to the compound interest effect over the 10-year period.
