Compute the weighted average interest rate across multiple loans, debts, or investment instruments. Enter principal amounts and annual rates, then visualize the allocation with an interactive pie chart. Ideal for debt consolidation planning, portfolio yield analysis, and financial decision‑making.
A blended rate — also known as a weighted average interest rate — is the single interest rate that represents the overall cost or yield of a portfolio of financial instruments with different rates and principal amounts. It is calculated by dividing the total annual interest cost (or income) by the total principal. This metric is essential for comparing financing options, evaluating investment performance, and making informed debt‑management decisions.
Blended Rate = Σ (Pi × Ri) ÷ Σ Pi
where Pi = principal of component i, and Ri = annual interest rate (as a decimal) of component i.
The blended rate is a cornerstone of modern financial analysis. It enables borrowers to understand the true cost of multiple debts before consolidation, helps investors gauge the overall yield of a diversified bond or loan portfolio, and supports corporate treasury decisions regarding capital structure. Financial institutions use blended rates to price products, assess risk, and communicate effective APRs to customers. The metric also appears in the calculation of the Weighted Average Cost of Capital (WACC), a fundamental input for corporate valuation and project appraisal.
The calculator follows a transparent, four‑step process:
This method is mathematically equivalent to the weighted average formula and is used universally in finance. The tool also calculates the percentage weight of each component (Pi / ΣP) to illustrate the allocation impact.
Sarah has three outstanding loans: $10,000 at 5.5% APR (auto loan), $15,000 at 6.2% APR (personal loan), and $8,000 at 4.8% APR (student loan). Her total debt is $33,000. Using this calculator, she finds her blended rate is 5.63%. A bank offers her a consolidation loan at 5.25% APR. By comparing the blended rate (5.63%) with the offered rate (5.25%), Sarah can see that consolidation would save her approximately 0.38 percentage points, or about $125 in annual interest. This data‑driven insight empowers her to negotiate better terms and make a sound financial decision.
A common misconception is that the blended rate is the arithmetic mean of the individual rates. In reality, because rates are weighted by principal, the blended rate is always closer to the rate of the largest component. For example, if you have $100,000 at 4% and $10,000 at 10%, the simple average is 7%, but the blended rate is only 4.55%. This distinction is critical in finance: ignoring weights can lead to costly errors in interest projections and investment analysis.