Treasury & Finance

The Mathematics Behind
Forex Conversion – Explained

Author Myforexeye Research
Nov 29, 2025 6 min read
Foreign exchange transactions can feel complex, but at its core, it's driven by simple mathematics. Whether you're an importer locking in costs or an exporter protecting revenue, understanding the basic calculations behind Cash, Tom, Spot, Forwards, Forward Cancellations, Early Deliveries, Cross Currency rates, and bank margins can empower you to make smarter financial decisions. This blog will explain these concepts using clear examples and definitions along the way.

Cash, Tom, and Spot Transactions

Forex transactions are categorized based on settlement timelines:

Cash (T)

Same-day

Useful for immediate needs

Tom (T+1)

Next Business Day

Tomorrow settlement

Spot (T+2)

Two Business Days

Most common transaction

Example Parameters

  • Spot Rate: Rs. 88.50/USD
  • Cash Spot Premium: Rs. 0.02/USD
  • Tom Next Margin: Rs. 0.01/USD
  • Bank Margin: Rs. 0.05

The Formula

Inward Remittance (Export)

Cash Rate

Spot - Cash Spot - Bank Margin

88.50 - 0.02 - 0.05 = Rs. 88.43

Tom Rate

Spot - Tom Next - Bank Margin

88.50 - 0.01 - 0.05 = Rs. 88.44

Spot Rate

Spot - Bank Margin

88.50 - 0.05 = Rs. 88.45

Outward Remittance (Import)

Cash Rate

Spot - Cash Spot + Bank Margin

88.50 - 0.02 + 0.05 = Rs. 88.53

Tom Rate

Spot - Tom Next + Bank Margin

88.50 - 0.01 + 0.05 = Rs. 88.54

Spot Rate

Spot + Bank Margin

88.50 + 0.05 = Rs. 88.55

Bank Margin

📉

Importer's Perspective

Bank margin is the additional fee or percentage a bank adds to the exchange rate, increasing the cost of converting local currency to foreign currency for payments.

📈

Exporter's Perspective

Bank margin is the markup a bank deducts from the exchange rate, reducing the local currency received when converting foreign earnings.

Understanding the Spot Rate

The spot rate reflects current market conditions. Banks quote two rates: a Bid Rate (Buying) and an Ask Rate (Selling).

Interbank Spot Example

₹88.50 / ₹88.51

Exporter gets ₹88.50 - Margin Importer pays ₹88.51 + Margin

Forward Contracts - Planning Ahead

Forward contracts let you fix an exchange rate for a future date, hedging against volatility.

Calculation Formula

Forward Rate = Spot Rate + Premium (or Discount) ± Bank Margin

Inward Remittance Spot (88.50) + Premium (0.80) - Margin (0.05)
= ₹89.25
Outward Remittance Spot (88.50) + Premium (0.80) + Margin (0.05)
= ₹89.35

There are two types of forward contracts:

  • Fixed Date Forward: Exact date settlement.
  • Window Forward: Flexible date range for settlement.

Forward Cancellations and Early Deliveries

1
Forward Cancellation You cancel the contract before maturity. Bank recalculates the rate.
2
Early Delivery You settle early, and the bank adjusts for unearned premium.

Example Calculation:

Original Forward = ₹89.35, Spot = ₹88.75 → Loss = ₹0.60 per dollar

First Day Forward Rate (FDFR) - Smart Benchmarking

FDFR (First Day Forward Rate) is a benchmark calculated using Spot + Forward Premium.

Example: Spot = ₹97 (EURINR), Premium = ₹2.15 → FDFR = ₹99.15

Exporters Strategy

Hedge when forward > FDFR

Importers Strategy

Hedge when forward < FDFR

This benchmark helps avoid emotional decisions and ensures rates are booked based on data.

Cross-Currency Conversions

When dealing with currencies like EUR/JPY or GBP/AUD, banks use USD as a bridge.

Formula

EUR/JPY = EUR/USD × USD/JPY

Example: 1.10 × 150 = 165.00

Bank Margins and Turnover Matrix

Banks charge different margins based on your transaction size.

Annual Turnover (USD) Typical Bank Margin (Paisa)
< $1 Million0.05 - 0.07
$1 Million - $5 Million0.03 - 0.05
$5 Million - $10 Million0.02 - 0.03
$10 Million - $25 Million0.01 - 0.02
> $25 Million0.0025 - 0.01

Summary Table

Using: USDINR = Rs.88.50, Bank Margin = Rs.0.05

Transaction Type Formula Used Example Output
Cash (Inward) Spot - Cash Spot - Margin Rs. 88.43
Tom (Inward) Spot - Tom Next - Margin Rs. 88.44
Spot (Inward) Spot - Margin Rs. 88.45
Forward (Inward) Spot + Premium - Margin Rs. 89.25
Forward Cancellation Original Rate - Spot Rs. 0.60/USD Loss

Conclusion: Know the Math, Control the Outcome

Understanding the logic and formulas behind forex rates allows you to better manage currency exposure. From cash and spot to forwards and cancellations, every transaction can be evaluated through basic arithmetic, reducing hidden costs and optimizing timing. Use data, not guesswork, to navigate global currencies confidently.

Frequently Asked Questions

Cash is same-day settlement (T), Tom is next business day (T+1), and Spot is two business days (T+2).

Use Window Forwards when your payment date isn’t fixed. They allow settlement flexibility within a chosen period.

The bank recalculates the rate based on current market conditions. You may face a cost or gain depending on the rate movement.

FDFR (First Day Forward Rate) is a benchmark calculated using Spot + Forward Premium. It helps you decide the best time to hedge.

Banks add margins over interbank rates. A higher margin increases your cost or reduces your revenue, depending on the direction of trade.