On September 16, 2026 the Federal Reserve raised its target range for the federal funds rate by a quarter point to 3.75–4.00%, on a 12–0 vote. The minutes released three weeks later said most participants expected another increase to be appropriate by year end. For most options traders, that headline changed nothing on screen: a one-month call on a $200 stock moved by about two cents. For an investor holding two-year LEAPS calls or a synthetic long on a mega-cap tech name, the same move in term rates is worth tens of dollars per contract, and a full point is worth hundreds. The Greek that measures it is rho. New to the Greeks? Start with the options Greeks explained.
What is rho in options?
Rho is the change in an option’s price for a 1 percentage point change in the risk-free interest rate, with the stock, time and implied volatility held constant. Calls have positive rho; puts have negative rho. Like every Greek it is quoted per share, so multiply by 100 for a standard contract.
| Option on a $200 stock | Price | Rho per share | Per contract, +1 point |
|---|---|---|---|
| 30-day at-the-money call | $7.22 | +0.08 | +$8 |
| 1-year at-the-money call | $27.98 | +0.96 | +$96 |
| 1-year at-the-money put | $19.18 | −0.96 | −$96 |
| 2-year 160-strike LEAPS call | $63.36 | +2.05 | +$205 |
The pattern in the table is the whole story. Rho on a one-month option is a rounding error. Rho on a two-year in-the-money call is about 25 times larger, because two things that drive it, the time to expiry and the amount of strike price you are deferring, are both bigger.
Why do higher rates raise call prices and lower put prices?
Because a call lets you defer paying for the stock, and a put makes you wait to be paid for it. The value of waiting depends on what cash earns in the meantime.
Compare two ways to own 100 shares of a $200 stock for a year. You can pay $20,000 today. Or you can buy a one-year call with a $200 strike and keep most of the $20,000 in Treasury bills until you decide whether to exercise. At a 4.5% rate that parked cash earns about $900 over the year. The call is worth more when that interest is larger, which is exactly what positive rho says.
Puts mirror it. Owning a put means you can sell at the strike, but only later; the strike you receive at expiry is worth less in today’s money when rates are higher, so the put is worth less. Formally, both effects come from put-call parity: call − put = stock − present value of the strike. Raise rates and the present value of the strike falls, so the call must gain relative to the put.
Rho on an at-the-money option is roughly strike × years to expiry × 0.5 ÷ 100 per share. For a $200 strike and one year: 200 × 1 × 0.5 ÷ 100 = $1.00, close to the 0.96 the model gives. Deep in-the-money calls have rho closer to strike × years ÷ 100.
Which interest rate goes into an option price in 2026?
Options are priced off a risk-free rate that matches the option’s life, which in practice means Treasury bill and note yields or the near-identical financing rate implied by SPX box spreads. The fed funds rate is the anchor, but it is not the number in the model.
| Rate | Level | Date | Relevant to |
|---|---|---|---|
| Fed funds target range | 3.75–4.00% | Decided Sep 16, 2026 | Overnight anchor |
| 3-month Treasury bill | 4.26% | Oct 13, 2026 | Monthly and quarterly options |
| 1-year Treasury | 4.48% | Oct 13, 2026 | One-year options |
| 2-year Treasury | 4.79% | Oct 13, 2026 | LEAPS and two-year synthetics |
The upward slope matters. Term yields sit above the overnight range because the market expects more hikes; the September minutes said most officials saw another increase as likely by year end. A two-year LEAPS is priced off something close to the 2-year yield, so it already carries those expected hikes. For the bigger picture on how yields feed into equity valuations, see what rising bond yields mean for stocks.
Why does rho grow with time to expiration?
Rho grows roughly in proportion to time, because the interest you save or forgo on the strike accumulates over the option’s whole life. Double the time and you roughly double rho.
Chart 1 shows the practical cutoff. Under about 90 days, rho on an at-the-money option is about 12 cents per share per point, equal to roughly three days of theta. By one year it is about $48 per contract on a $100 stock, and by two years about $91. For the 30–45 day covered calls and cash-secured puts that make up most income portfolios, rho is noise. For long-dated calls it is a line item.
Moneyness matters too. Deep in-the-money calls have the highest rho, because you are almost certain to pay the strike and the interest on it is almost certain to be saved. Far out-of-the-money options have little rho, since there is little chance the strike is ever paid.
How much does rho matter for LEAPS?
For LEAPS, rho is often the third-largest Greek after delta and vega, and comparable to weeks of theta. Take an illustrative two-year call on a $200 mega-cap stock, the kind of position we discuss in our LEAPS strategy guide:
- Position: one 160-strike call, two years to expiry, 30% implied volatility, priced at $63.36 at a 4.5% rate. Delta 0.83.
- Rho: 2.05 per share, so $205 per contract per 1-point change in rates.
- If term rates fall to 3.5%: the call is worth $61.32, a loss of $204 per contract with the stock unchanged.
- If term rates rise to 5.5%: the call is worth $65.41, a gain of $205.
- Compare: vega is about $72 per contract per volatility point, and theta about −$2.74 a day. A one-point rate move equals roughly 75 days of time decay.
Two practical consequences follow. First, part of what you pay for a LEAPS call when rates are high is interest you would otherwise earn on the cash. That is not a hidden fee; it is the reason the call is worth buying instead of the shares if you keep the difference in bills. Second, if you buy LEAPS expecting rate cuts to lift tech stocks, rho works against you on the way: lower rates shave the call’s value even as the stock may benefit.
Investors compare a LEAPS call with the stock and forget the cash. If you buy a $63 call instead of a $200 share but leave the other $137 idle in a 0% sweep account, you pay the interest built into the call and earn none of it back. Park the difference in Treasury bills or a money market fund, or the comparison is rigged against you.
Why are synthetic longs all about rho?
A synthetic long, long a call and short a put at the same strike, is economically a stock position financed at the rate built into the options, so its rho is simply the strike times time times the discount factor. On a $200 strike with two years to run at 4.5%, that is about $3.66 per share, or $366 per contract per point, the largest rho of any common position.
That number is the interest you pay on the borrowed strike. Over two years at 4.5%, the carry built into a 200-strike synthetic is about $17 per share. You pay it through the option prices instead of through a margin statement, and the rate is close to the Treasury curve rather than a broker’s margin rate, which for retail accounts usually runs several points higher. Our synthetic long guide walks through the full cost-of-carry comparison with a live example.
The same logic explains box spreads. A box is a synthetic long and a synthetic short at two strikes, which leaves pure rho: a fixed payoff at expiry bought at a discount. That discount is the market’s borrowing or lending rate, which is why some investors use SPX boxes as a financing tool.
Chart 2 also shows the hedge side. A one-year at-the-money put has −$96 of rho per contract on a $200 stock. If you hold long-dated protective puts on a concentrated position, a rise in term rates trims their value modestly, and a fall in rates helps them.
Do Fed meetings move option prices through rho?
Only by the amount the decision surprises the market and moves term yields. The September hike was widely discussed before it happened, so most of it was already in the 1-year and 2-year yields that price long-dated options. The remaining 2026 meetings are October 27–28 and December 8–9.
Put the scale in perspective. If a hawkish surprise lifts 2-year yields by 0.25 point, our 160-strike LEAPS call gains about 0.25 × $205 = $51 per contract from rho. The same news could move the stock 2–3% and implied volatility a point or two, worth several hundred dollars through delta and vega. Rho is the smallest of the three on FOMC day, but it is the one that persists for the life of the position. For how options traders handle the event itself, see trading options in FOMC week.
Which positions are long or short rho?
As a rule, positions that finance stock through options are long rho, and positions that pre-pay for downside protection are short rho.
- Long rho: long calls and LEAPS, synthetic longs, the poor man’s covered call (the long-dated call outweighs the short near-dated one), and short puts.
- Short rho: long puts, collars (long put and short call both lose when rates rise), and covered calls, slightly.
- Effectively neutral: anything under about three months. Rho exists, but it is swamped by delta, theta and vega.
Cash-secured put sellers get a double benefit at today’s rates: positive rho on the short put, and the collateral itself earning the bill yield of about 4.26%. That interest is a real part of the strategy’s return and a reason the wheel strategy looks better when rates are high than when they are near zero.
How should you account for rho before a trade?
- Check the expiry. Under 90 days, note rho and move on. Over six months, compare it with vega and theta per contract.
- Use the right rate. Look at the Treasury yield closest to the option’s life, not the fed funds range.
- Price the alternative. For LEAPS and synthetics, compare the carry built into the options with your margin rate and with what the freed cash earns in bills.
- Park the cash. Put the capital an option saves you into Treasury bills or a money market fund, so you collect the rate you are paying for.
- Stress-test rates. Ask what a 1-point fall in term yields does to every long-dated position you hold; your broker’s analysis tool can shift the rate input.
- Remember dividends. Dividends push the other way: higher expected dividends lower call prices. On high-yield stocks, dividend changes often matter more than rate changes.
Rho rarely decides a trade on its own. It is a cost-of-carry check, and at today’s rates, with the curve sloping up and the Fed signaling more, it is worth the thirty seconds. Hedgers adjusting delta on a long-dated book will also find rho in their P&L attribution; we cover that mechanic in delta hedging explained.
Frequently asked questions
What is rho in options in simple terms?
Rho is the change in an option's price for a 1 percentage point change in the risk-free interest rate. A call with a rho of 0.50 gains about 50 cents per share, or 50 dollars per contract, if rates rise 1 point, all else equal. Puts have negative rho and lose value when rates rise.
Why do higher interest rates increase call prices?
Buying a call lets you control stock now and pay the strike price later. The higher interest rates are, the more valuable it is to keep that cash earning interest until expiry, so calls are worth more. Puts work the other way: you receive the strike later, and that delayed cash is worth less when rates are higher.
Does rho matter for short-term options?
Very little. A 30-day at-the-money call on a 200 dollar stock has a rho of about 0.08, so even a full 1 point rate move changes its price by 8 dollars per contract. Theta and vega on the same option are many times larger. Rho starts to matter on options with six months or more to expiration.
How much does rho matter for LEAPS?
A lot more. A two-year 160-strike call on a 200 dollar stock has a rho of about 2.05 in our example, or 205 dollars per contract per 1 point move in rates. A quarter-point Fed hike that flows through to two-year yields is worth roughly 51 dollars per contract, comparable to two weeks of that option's time decay.
Which interest rate is used to price options?
Models use a risk-free rate that matches the option's life, usually Treasury bill and note yields or the closely related financing rate implied by box spreads, not the fed funds rate itself. On October 13, 2026 the 3-month bill yielded 4.26 percent and the 2-year note 4.79 percent, both above the 3.75 to 4.00 percent fed funds target range.
Is rho positive or negative for a cash-secured put?
Selling a put gives you positive rho, because the put you are short loses value when rates rise. On top of that, the cash collateral usually sits in Treasury bills or a money fund and earns the higher rate directly. Both effects favor cash-secured put sellers when rates are high.
Key takeaways
- Rho is the change in option value for a 1-point move in interest rates: positive for calls, negative for puts.
- It scales with time and strike: about $8 per contract on a 30-day call, about $205 on a two-year LEAPS call, about $366 on a two-year synthetic long on a $200 stock.
- With the fed funds range at 3.75–4.00% and the 2-year Treasury at 4.79% (October 2026), the cost of carry built into long-dated calls is material.
- A synthetic long is a financed stock position; its rho is the interest you pay through the option prices, which is usually below a retail margin loan rate.
- Fed meetings move option prices through rho only to the extent they change term rates; the expected path is already priced in.
- For income trades under three months, ignore rho; for LEAPS, PMCCs and synthetics, check it next to vega before you buy.
Sources and method
- Federal Reserve, FOMC statement, September 16, 2026 — the quarter-point increase to a 3.75–4.00% target range
- Federal Reserve, Minutes of the FOMC, September 15–16, 2026 — most participants saw another increase as likely appropriate by year end
- Federal Reserve, FOMC meeting calendar — remaining 2026 meetings on October 27–28 and December 8–9
- FRED, 2-Year Treasury Constant Maturity Rate (DGS2) — 4.79% on October 13, 2026; 3-month (DGS3MO) 4.26% and 1-year (DGS1) 4.48% the same day
- OCC, Characteristics and Risks of Standardized Options — how listed options, exercise and expiration work
- FINRA, Options investor guide — how calls, puts and their risks work for individual investors
Fed policy rates, meeting dates and Treasury yields are from the Federal Reserve and FRED as of October 13–15, 2026. All option prices and Greeks are Proflex calculations with the Black–Scholes model, 30% implied volatility, no dividend and a flat 4.5% rate (between the 3-month bill and 2-year note yields) unless stated. Listed American-style options, dividends and the real volatility surface will change the exact figures. Examples are illustrative.