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Fixed Income
Interactive visualization comparing fully amortizing and partially amortizing (balloon) bond payment structures. See how interest and principal components change over time, understand balloon payment risk, and compare total cash flows between structures. Essential CFA fixed-income concept.
Bond Structure
Bonds can be structured with different principal repayment schedules. This visualization compares two fundamental structures: fully amortizing and partially amortizing (balloon) bonds.
A fully amortizing bond repays all principal through regular periodic payments. Each payment is a constant amount that includes both interest and principal components:
Early payments are mostly interest (the outstanding balance is large)
Later payments are mostly principal (the balance has shrunk, so interest is smaller)
By the final payment, the balance reaches exactly zero
The periodic payment is calculated using the annuity formula: PMT = FV x r / (1 - (1+r)^(-n))
A partially amortizing bond does not fully repay principal through regular payments. A large lump sum (the balloon payment) is due at maturity:
Periodic payments are lower than the fully amortizing case
The payment amortizes only a portion of the face value (FV minus balloon)
At maturity, the remaining balance equals the balloon amount
The borrower must either refinance or have cash available for the balloon
For any bond with face value FV, balloon amount B, periodic rate r, and n periods:
When B = 0 (fully amortizing): standard annuity formula
When B = FV (interest only): PMT = FV x r
Each periodic payment splits into two components:
As the balance declines, the interest portion shrinks and the principal portion grows. This pattern is visible in the stacked bar chart as the amber (interest) portion decreases while the blue (principal) increases.
The sliders, formulas and analytics view need more room than a phone screen can give them. Open this chart on a desktop or larger tablet to use the full interactive experience.
Study aids
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