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Calcimator

Currency Hedging Calculator

Compare forward contract and option hedging costs using covered interest rate parity. Calculate forward rates, hedge costs, and breakeven exchange rates.

About this calculator

Locking in a future exchange rate has a price, and this calculator derives that price two different ways so you can compare them directly. The forward rate is computed from covered interest rate parity — F = S × (1 + r_domestic × T) / (1 + r_foreign × T) — which says the forward rate must adjust for the interest-rate gap between the two currencies so that no risk-free arbitrage is possible between holding cash in one currency versus the other over the hedge horizon. The gap between that forward rate and today's spot rate ("forward points") tells you whether the currency is trading at a forward premium or discount, and the calculator annualizes that gap so hedges of different lengths can be compared on equal footing.

Applying your hedge ratio splits the notional into a hedged portion valued at the locked-in forward rate and an unhedged portion left exposed to your own forecast of the future spot rate, then compares that blended outcome against staying fully unhedged to show the hedging gain or loss. Alongside the forward, the calculator estimates an option hedge as a straightforward percentage-of-notional premium — a simplification of real options pricing (which depends on volatility, strike, and time in a Black-Scholes-style model) rather than a market quote — and flags whichever of the two costs less for this notional and horizon. Two caveats worth knowing: the "breakeven rate" collapses to the forward rate whenever the hedge ratio is 100%, and interest rate parity assumes frictionless capital markets, so real-world forward quotes from a bank will include a credit and liquidity spread on top of what the parity formula produces here.

Inputs

%
%
%
%

Results

Forward Exchange Rate

1.11

Forward Points0.01
Forward Premium/Discount (%)0.99%
Annualized Premium (%)1.97%
Forward Hedge Cost ($)$10,837.44
Option Premium ($)$20,000.00
Hedged Portfolio Value ($)$1,110,837.44
Hedging Gain/Loss ($)$60,837.44
Breakeven Rate1.11
Cost Savings (Cheaper Method)$9,162.56
Cheaper MethodForward
How to Use This Calculator
  1. Enter Notional Amount (Foreign Ccy), Spot Exchange Rate, and Domestic Interest Rate (%).
  2. Set Foreign Interest Rate (%), Hedge Horizon (Months), and Expected Future Spot Rate.
  3. Adjust Option Premium (%), Hedge Ratio (%) as needed.
  4. Review the Forward Exchange Rate result.
  5. Use Forward Points and Forward Premium/Discount (%) (%) to inform your decision.

How the result changes with Spot Exchange Rate

Spot Exchange RateForward Exchange Rate
0.550.56
0.830.83
1.651.67
2.752.78

What each input means

Notional Amount (Foreign Ccy)
Foreign currency amount to hedge.
Spot Exchange Rate
Current spot rate (domestic per foreign unit).
Domestic Interest Rate (%)
Annualized domestic risk-free interest rate.
Foreign Interest Rate (%)
Annualized foreign risk-free interest rate.
Hedge Horizon (Months)
Duration of the hedge contract in months.
Expected Future Spot Rate
Your forecast of the spot rate at hedge maturity.
Option Premium (%)
Cost of an FX option as a percentage of notional.
Hedge Ratio (%)
Percentage of the exposure to hedge.

What each result means

Forward Exchange Rate
Theoretical forward rate from interest rate parity.
Forward Points
Difference between forward and spot rate.
Forward Premium/Discount (%)
Forward premium (+) or discount (-) vs spot.
Annualized Premium (%)
Forward premium annualized for comparison.
Forward Hedge Cost ($)
Absolute cost of forward points on the hedged notional.
Option Premium ($)
Upfront option premium cost.
Hedged Portfolio Value ($)
Total value combining hedged and unhedged portions.
Hedging Gain/Loss ($)
Gain or loss from hedging vs staying fully unhedged.
Breakeven Rate
Spot rate at which hedging neither gains nor loses.
Cost Savings (Cheaper Method)
Dollar savings from using the cheaper hedging method.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Notional Amount (Foreign Ccy) = 1000000, Spot Exchange Rate = 1.1, Domestic Interest Rate (%) = 5, Foreign Interest Rate (%) = 3 = 8 input(s) provided
  2. Calculate Forward Exchange Rate
    Forward Exchange Rate = spotRate * (1 + (domesticRatePct / 100) * T) / (1 + (foreignRatePct / 100) * T)
    1.1108 = 1.1108
  3. Calculate Forward Points
    Forward Points = forwardRate - spotRate
    0.0108 = 0.0108
  4. Calculate Forward Premium/Discount
    Forward Premium/Discount = (forwardPoints / spotRate) * 100
    0.99 = 0.99%

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why is the forward rate different from today's spot rate?

The forward rate comes from covered interest rate parity: F = S × (1 + domestic rate × T) / (1 + foreign rate × T). When the domestic interest rate is higher than the foreign rate, the formula pushes the forward rate above spot; when domestic rates are lower, the forward rate sits below spot, keeping cash in either currency equally attractive on a risk-free basis over the hedge horizon.

Does lowering the Hedge Ratio (%) change the Breakeven Rate?

No. The calculator's breakeven formula multiplies the hedged notional by the forward rate and then divides by the same hedged notional, so the notional cancels out and the result always equals the forward rate as long as some amount is hedged. The code itself notes this as a simplification rather than a fully partial-hedge-aware breakeven that would also weigh the unhedged portion at your expected future rate.

How realistic is the Option Premium ($) estimate?

It's a simplification: the calculator multiplies your hedged notional by the Option Premium (%) you enter directly, rather than pricing the option from volatility, strike, and time the way a Black-Scholes-style model would. Treat it as a rough placeholder for comparing option cost against the forward hedge cost, not a market quote.

What decides whether the calculator labels the forward or the option as 'cheaper'?

It compares Forward Hedge Cost — the hedged notional times the absolute value of the forward points — against the Option Premium — the hedged notional times your entered option premium percentage — and reports whichever dollar figure is smaller as the Cheaper Method, along with the gap between them as Cost Savings.

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