Think of the relationship between spot and forward rates in the same way as the relationship between discounted present value and future value. A forward interest rate acts as a discount rate for a single payment from one future date (say, five years from now) and discounts it to a closer future date (three years from now).

Theoretically, the forward rate should be equal to the spot rate plus any earnings from the security, plus any finance charges. You can see this principle in equity forward contracts, where the differences between forward and spot prices are based on dividends payable less interest payable during the period.

A spot rate is used by buyers and sellers looking to make an immediate purchase or sale, while a forward rate is considered to be the market's expectations for future prices. It can serve as an economic indicator of how the market expects the future to perform, while spot rates are not indicators of market expectations, and are instead the starting point to any financial transaction.

Therefore, it is normal for forward rates to be used by investors, who may believe that they have knowledge or information on how the prices of specific items will move over time. If a potential investor believes that real future rates will be higher or lower than the stated forward rates at the present date, it could signal an investment opportunity.

Understanding Spot and Forward Rates

To understand the differences and relationship between spot rates and forward rates, it helps to think of interest rates as the prices of financial transactions. Consider a $1,000 bond with an annual coupon of $50. The issuer is essentially paying 5% ($50) to borrow the $1,000.

A "spot" interest rate tells you what the price of a financial contract is on the spot date, which is normally within two days after a trade. A financial instrument with a spot rate of 2.5% is the agreed-upon market price of the transaction based on current buyer and seller action.

Forward rates are theorized prices of financial transactions that might take place at some point in the future. The spot rate answers the question, "How much would it cost to execute a financial transaction today?" The forward rate answers the question, "How much would it cost to execute a financial transaction at future date X?"

Note that both spot rates and forward rates are agreed to in the present. It's the timing of the execution that's different. A spot rate is used if the agreed trade occurs today or tomorrow. A forward rate is used if the agreed trade isn't set to occur until later in the future.

Suppose two parties agree to use a 5% interest rate for a trade to take place six months from today. This is the forward rate. Even if market rates turn out to be 8% in six months, the 5% rate agreed upon in the forward contract is used.

Converting From Spot to Forward Rate

For simplicity, consider how to calculate the forward rates for zero-coupon bonds. A basic formula for calculating forward rates looks like this:

Forward = [(1 + spot rate for year x)x/ (1 + spot rate for year y)y] - 1

In the formula, "x" is the end future date (say, 5 years), and "y" is the closer future date (three years), based on the spot rate curve.

Suppose a hypothetical two-year bond is yielding 10%, while a one-year bond is yielding 8%. The return produced from the two-year bond is the same as if an investor receives 8% for the one-year bond and then uses a rollover to roll it over into another one-year bond at 12.04%.

[(1.10)2/ (1.08)1] - 1 = 12.04%. This hypothetical 12.04% is the forward rate of the investment.

To see the relationship again, suppose the spot rate for a three-year and four-year bond is 7% and 6%, respectively. A forward rate between years three and four – the equivalent rate required if the three-year bond is rolled over into a one-year bond after it matures – would be 3.06%.

  1. What is the Difference Between a Forward Rate and a Spot Rate?

    The forward rate is the settlement price of a forward contract, while the spot rate is the settlement price of a spot contract. Read Answer >>
  2. What is the difference between trading currency futures and spot FX?

    The main difference between currency futures and spot FX is when the physical exchange of the currency pair takes place. Read Answer >>
  3. What Derivatives are Types of Forward Commitments?

    There are three main types of derivatives with forward commitments: forward contracts, futures contracts and swaps. Learn ... Read Answer >>
Related Articles
  1. Trading

    Using interest rate parity to trade forex

    Learn the basics of forward exchange rates and hedging strategies to understand interest rate parity – fundamental knowledge for foreign-currency traders.
  2. Trading

    The Difference Between Forwards and Futures

    Both forward and futures contracts allow investors to buy or sell an asset at a specific time and price.
  3. Investing

    How Bond Market Pricing Works

    Want to know how bond price are determined? Learn the basic rule of the bond market.
  4. Investing

    How Rising Interest Rates Impact Bond Portfolios

    A look at the impact that changing interest rates - rising or falling - have on bonds and what investors need to consider.
  5. Managing Wealth

    Managing interest rate risk

    Interest rate risk is the risk that arises when the absolute level of interest rates fluctuate and directly affects the values of fixed-income securities.
  6. Investing

    How Interest Rates Affect Mutual Funds

    Find out how changing interest rates impact mutual funds, including bond and money market funds, and how higher rates can discourage investors.
  1. Forward Discount

    A forward discount occurs when the expected future price of a ...
  2. Forward Points

    Forward points are the number of basis points added to or subtracted ...
  3. Forward Premium

    A forward premium occurs when the expected future price of a ...
  4. Spot Date

    The spot date is the date at which a transaction is settled.
  5. Spot Rate

    Spot rate is the price quoted for immediate settlement on a commodity, ...
  6. Outright Forward

    An outright forward is a forward currency contract that locks ...
Trading Center