Weighted Grade Calculator
Calculate your overall course grade from assignments, quizzes, and midterm weights, plus find the exact score needed on your final exam.
Enter each loan with its balance and interest rate. Your blended rate, the interest it costs per year and per month, and the consolidation rate all update as you type.
Compare a single offered rate
Enter a rate you have been offered on the whole balance to compare it against your blend.
Your balances stay in this browser. Nothing is uploaded, stored on a server, or shared with a lender.
A weighted average interest rate is the single rate that represents several debts at once, with each rate weighted by its balance. Lenders also call it a blended rate.
Balances do the weighting. A 12% rate on $500 barely moves your overall cost, while a 6% rate on $250,000 dominates it. Averaging the rates alone would treat those two as equals, which is why the balance has to carry the weight.
The result answers a practical question: if every debt were merged into one loan at a single rate, what rate would leave your interest bill unchanged? That figure is what a consolidation offer or a refinance quote should be measured against. The same balance-weighted method sits behind the general weighted average calculator.
One property holds whenever balances are positive: the blended rate always sits between your lowest and your highest rate. A blended rate outside that range means a balance was entered as a negative number.
To calculate a weighted average interest rate, multiply each balance by its rate, add the results, then divide by the total balance.
Dividing the numerator by 100 gives something more tangible than a percentage: the interest those balances cost in a year, in currency.
A graduate holds 3 loans: two federal and one private, totalling $35,000.
| Loan | Balance | Rate | Balance × rate | Interest per year |
|---|---|---|---|---|
| Federal Loan A | $12,000 | 4.53% | 54,360 | $543.60 |
| Federal Loan B | $8,000 | 5.05% | 40,400 | $404.00 |
| Private Loan | $15,000 | 7.20% | 108,000 | $1,080.00 |
| Total | $35,000 | 5.79% | 202,760 | $2,027.60 |
The blended rate is 5.79%. The simple average of 4.53, 5.05, and 7.20 is 5.59%, lower than the truth because the largest balance carries the highest rate.
Add one row per loan, type the balance and the rate, and the blended rate and its yearly cost appear immediately.
Put each loan's annual rate in the rate column, as a percentage. Enter 5.5 rather than 0.055, and use the same basis across every row — all interest rates, or all APRs, never a mix.
Put the outstanding balance beside each rate. Currency symbols and thousands separators are accepted, so $12,000 and 12000 read the same. Only the ratio between balances matters, though real amounts also produce the interest figures.
Use payoff balances rather than original loan amounts. A loan half repaid carries half the weight it did on day one, and using the original figure overstates its influence.
No button is needed. Beside the blended rate, the panel reports 4 figures:
The panel under the rows compares a single offered rate against your blend, reporting the yearly and monthly difference in currency rather than in percentage points.
Use it whenever several balances at different rates need to be described, compared, or replaced by one number.
A blended rate turns a page of statements into one figure you can act on. It also settles the payoff order: any balance charging more than the blended rate is raising your average, and paying it first lowers the cost of the whole portfolio.
In the example above, the 7.20% private loan sits above the 5.79% blend while both federal loans sit below it. Every dollar moved from the private loan to a lower-rate balance reduces the total interest bill. Businesses blending purchase costs instead of loan rates can use the same method in the weighted average cost calculator.
A federal Direct Consolidation Loan does not shop for a better rate. It takes the weighted average of the loans being consolidated and rounds it up to the nearest one-eighth of a percent.
That is a rise of 0.082 percentage points, about $28.65 a year on $35,000. Consolidation is chosen for repayment terms and forgiveness eligibility, not for a cheaper rate. Switch the calculator to the consolidation setting to see both figures side by side.
A first mortgage of $250,000 at 3.25% alongside a $50,000 home equity line at 8.50% blends to 4.125% across the $300,000 owed.
That blended figure is the number a refinance quote has to beat. Comparing an offer against the 3.25% first mortgage alone would reject deals that are genuinely cheaper across the whole balance.
Each loan's influence equals its balance as a share of the total balance, so the blended rate follows the money rather than the number of accounts.
In the 3-loan example, the private loan holds 43% of the balance and drags the blend upward. Shrink that balance and the blended rate falls sharply, even though the rate itself never changes.
| Private loan balance | Share of total | Total balance | Blended rate |
|---|---|---|---|
| $15,000 | 43% | $35,000 | 5.79% |
| $3,000 | 13% | $23,000 | 5.06% |
Paying $12,000 off the 7.20% loan lowers the blended rate by 0.73 percentage points. The same $12,000 aimed at the 4.53% loan would raise it, because removing your cheapest debt leaves a more expensive mix behind.
Two consequences follow. A small balance at a frightening rate matters less than it looks, and a large balance at a modest rate matters more. The share column shows exactly where your money sits.
A simple average treats every loan as equal. A weighted average counts each by its balance, so the two agree only when every balance is identical.
| Method | Calculation | Result |
|---|---|---|
| Weighted average | 202,760 ÷ $35,000 | 5.79% |
| Simple average | 16.78 ÷ 3 loans | 5.59% |
The 0.20 point gap is worth $70 a year on $35,000. The direction is predictable: when your largest balance carries an above-average rate, the simple average understates what you pay, and when it carries a below-average rate, the simple average overstates it.
Only the weighted figure reproduces your actual interest bill. Multiply the blended rate by the total balance and you get $2,027.60, the exact sum of the three loans' interest. The simple average returns $1,957.67, which matches nothing on any statement.
Six errors explain nearly every blended rate that disagrees with a lender's figure.
The calculator catches the arithmetic ones. It prints the total balance and the yearly interest separately so a wrong denominator is obvious, flags entries that are not numbers, marks rows missing a balance or a rate, and warns when a negative balance pushes the blend outside your range of rates.
CALCULATOR SUITE
Explore our dedicated calculation tools tailored for academic grading, GPA, statistical datasets, inventory costing, and finance.
Calculate your overall course grade from assignments, quizzes, and midterm weights, plus find the exact score needed on your final exam.
Compute semester and cumulative GPA with standard AP (+1.0), Honors (+0.5), and IB grade point weighting on 4.0 and 5.0 scales.
Calculate weighted percentage totals from percentage or raw score components, and calculate exact percentage contribution per item.
Compute the arithmetic weighted mean for any dataset or frequency distribution, and solve for any missing value or weight.
Work out your university WAM across course units with credit-point and year-level weighting schemes and Honours classifications.
Determine the weighted unit cost across multiple inventory batches, wholesale lots, or tiered purchase price orders.
Calculate ending inventory valuation and Cost of Goods Sold (COGS) using periodic and perpetual moving average costing methods.
Calculate the effective blended interest rate and annual/monthly finance charges across mortgages, student loans, or credit cards.
Calculate intraday VWAP, typical price bars (H+L+C)/3, running session volume, and anchored price benchmark deviations.
Multiply each loan balance by its interest rate, add those products, then divide by the total balance. Balances of $12,000, $8,000, and $15,000 at 4.53%, 5.05%, and 7.20% give 202,760 ÷ 35,000, a blended rate of 5.79%.
The formula is the sum of (balance × rate) divided by the sum of the balances. Dividing the numerator by 100 instead gives the annual interest cost in currency, which is $2,027.60 for that same set of loans.
It depends on the debt type. Federal student loans commonly blend between 4% and 7%, mortgages sit lower, and credit cards run well above 20%. The useful test is comparative: any rate you can refinance below is worth reviewing.
Yes. Each loan's influence equals its balance as a share of the total, so a $15,000 loan inside a $35,000 portfolio holds 43% of the blended rate while a $3,000 loan holds under 9%.
Yes, add one row per loan and the calculator blends any number of them — student loans, a mortgage, a car loan, and card balances together. Keep every rate on the same basis, either all interest rates or all APRs.
Yes, they name the same figure. Lenders say blended rate, student loan servicers say weighted average interest rate, and both equal the sum of balance times rate divided by total balance.
Slightly. A federal Direct Consolidation Loan takes the weighted average and rounds it up to the nearest one-eighth of a percent, turning 5.7931% into 5.875%. Consolidation changes repayment terms far more than it changes the rate.
Because a simple average ignores how much you owe on each loan. When your largest balance carries the highest rate, the simple average is too low — 5.59% against a true 5.79% in the example on this page.
Calculate Weighted Average Online
The weighted average calculator multiplies each value by its weight, adds the weighted sum, divides by the total of weights, and prints the weighted average beside the standard arithmetic mean. Course grades, GPA, portfolio returns, and probability distributions all run through the same 4 steps.
Open the Weighted Average Calculator