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box-shadow: 0 4px 6px rgba(0,0,0,0.05);
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.formula-box {
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function calculateProbability() {
// 1. Get input values
var futuresPriceInput = document.getElementById('futuresPrice').value;
var currentRateInput = document.getElementById('currentRate').value;
var hikeSizeInput = document.getElementById('hikeSize').value;
// 2. Validate inputs
if (futuresPriceInput === "" || currentRateInput === "" || hikeSizeInput === "") {
alert("Please fill in all fields to calculate the probability.");
return;
}
var price = parseFloat(futuresPriceInput);
var currentRate = parseFloat(currentRateInput);
var hikeBps = parseFloat(hikeSizeInput);
if (isNaN(price) || isNaN(currentRate) || isNaN(hikeBps)) {
alert("Please enter valid numbers.");
return;
}
// 3. Logic and Calculation
// Implied Rate = 100 – Futures Price
var impliedRate = 100 – price;
// Hike Size in Percentage terms (25 bps = 0.25%)
var hikePct = hikeBps / 100;
// The difference between what the market implies and where rates are now
var rateDiff = impliedRate – currentRate;
// Probability Calculation
// This assumes a binary outcome model for simplicity: Hike vs No Hike
// Probability = (Implied Rate – Current Rate) / (Expected Hike Size)
var probabilityDecimal = rateDiff / hikePct;
var probabilityPercent = probabilityDecimal * 100;
// Handle edge cases where market prices in cuts or >100% (multiple hikes)
var displayProbHike = probabilityPercent;
var displayProbHold = 100 – probabilityPercent;
// Interpretation Logic
var interpretation = "";
if (probabilityPercent > 100) {
interpretation = "Market is pricing in MORE than a " + hikeBps + " bps hike.";
} else if (probabilityPercent 0 ? "+" : "") + (rateDiff * 100).toFixed(1) + " bps";
document.getElementById('resProbHike').innerHTML = probabilityPercent.toFixed(1) + "%";
document.getElementById('resProbHold').innerHTML = (100 – probabilityPercent).toFixed(1) + "%";
document.getElementById('resInterpretation').innerHTML = interpretation;
// Show results
document.getElementById('results').style.display = "block";
}
Understanding Fed Rate Hike Probabilities
Financial markets act as a collective forecasting machine, constantly repricing assets based on future expectations. One of the most critical metrics monitored by economists, traders, and mortgage lenders is the Fed Rate Hike Probability. This metric estimates the likelihood of the Federal Open Market Committee (FOMC) raising interest rates at their next meeting.
How is the Probability Calculated?
The probability of a rate hike is derived primarily from 30-Day Federal Funds Futures prices, which are traded on the Chicago Mercantile Exchange (CME). These futures contracts reflect the average daily federal funds effective rate for the delivery month.
The Core Math
The relationship between the futures price and the interest rate is inverse. The basic formula to determine the market-implied interest rate is:
Implied Rate = 100 – Futures Price
For example, if the Fed Funds Futures contract is trading at 94.75, the implied rate is:
100 – 94.75 = 5.25%
To calculate the probability of a specific hike (e.g., 25 basis points), we compare this implied rate against the current effective federal funds rate (EFFR).
Probability (%) = (Implied Rate – Current EFFR) / (Hike Size %)
Example Calculation
- Current EFFR: 5.00%
- Futures Price: 94.80
- Implied Rate: 5.20% (100 – 94.80)
- Potential Hike: 25 basis points (0.25%)
Using the formula:
(5.20% – 5.00%) / 0.25% = 0.20 / 0.25 = 0.80
This result translates to an 80% probability that the Fed will raise rates by 25 basis points.
Interpreting the Results
When using this calculator, the output tells you how much of a rate hike is "priced in" by the market.
- Probability > 100%: This implies the market expects a hike larger than the one you entered (e.g., pricing in a 50 bps hike rather than 25 bps).
- Probability near 50%: The market is undecided; it is a "coin flip" between hiking and holding rates steady.
- Probability < 0%: The market is actually pricing in a rate cut (lowering interest rates).
Why Does This Matter?
Understanding Fed Rate Hike probabilities is crucial for various financial decisions:
- Mortgages & Loans: Variable-rate loans are directly influenced by the Fed Funds Rate. A high probability of a hike suggests borrowing costs will increase soon.
- Savings Accounts: Higher probabilities indicate that yields on High-Yield Savings Accounts (HYSA) and CDs may rise.
- Stock Market: Equity markets often react negatively to unexpected rate hikes. Knowing the probability helps investors gauge if a hike is already "priced in" to stock prices.
Where to Find Data Inputs?
To use this calculator effectively, you need current market data:
- Futures Price: Look for the "30-Day Fed Funds Futures" quote (often symbol ZQ) on financial news sites like Bloomberg, CNBC, or the CME Group website. Ensure you are looking at the contract month that corresponds to the next FOMC meeting.
- Current EFFR: The Effective Federal Funds Rate is published daily by the Federal Reserve Bank of New York.