What Is the Implied Rate?
Let me explain the implied rate directly: it's the difference between an asset's spot rate and its forward or futures rate, and it acts as a key measure for comparing potential investment returns. You can apply it to various securities, and it helps you evaluate the risk and return characteristics of options or futures contracts.
Key Takeaways
You calculate the implied rate by comparing the spot rate with the forward or futures rate of a security. As an investor, you use it to evaluate and compare investment returns and risks. The process involves taking the ratio of the forward price to the spot price, then adjusting for the contract duration. You can derive implied rates for various securities, including commodities, stocks, and currencies. If the implied rate is positive, it suggests that future borrowing rates may be higher than current rates.
Breaking Down the Implied Rate Mechanism
The implied interest rate provides you with a straightforward way to compare returns across investments and evaluate the risk and return characteristics of a particular security. You can calculate an implied interest rate for any type of security that has an option or futures contract associated with it.
For instance, if the current U.S. dollar deposit rate is 1% for spot and 1.5% in one year, the implied rate comes out to 0.5%. Or, if a currency's spot price is 1.050 and the futures price is 1.1071, the implied rate is 5.71%. In both cases, the positive implied rate indicates that the market expects future borrowing rates to be higher than they are now.
To calculate it yourself, divide the forward price by the spot price, raise the result to the power of 1 divided by the contract length, then subtract 1. The formula is: Implied rate = (forward / spot) raised to the power of (1 / time) - 1, where time is the length of the forward contract in years.
Practical Examples of Implied Rate Calculation
Let's look at some practical examples to make this clear.
Commodities
If the spot price for a barrel of oil is $68 and a one-year futures contract is $71, the implied interest rate is calculated as follows: Implied rate = (71/68)^(1/1) - 1 = 4.41%. You divide the futures price of $71 by the spot price of $68, raise this ratio to the power of 1 for a one-year contract, subtract 1, and you get 4.41%.
Stocks
If a stock is trading at $30 now and there's a two-year forward contract at $39, the implied interest rate is: Implied rate = (39/30)^(1/2) - 1 = 14.02%. Divide the forward price of $39 by the spot price of $30, raise the ratio to the power of 1/2 for a two-year contract, subtract 1, and you arrive at 14.02%.
Currencies
If the spot rate for the euro is $1.2291 and the one-year futures price is $1.2655, the implied interest rate is: Implied rate = (1.2655 / 1.2291)^(1/1) - 1 = 2.96%. Divide 1.2655 by 1.2291 to get the ratio, raise it to the power of 1 for a one-year contract, subtract 1, and the result is 2.96%.
The Bottom Line
The implied rate is a vital tool for you as an investor, offering a method to compare returns and evaluate the risk and return profile across various securities. By understanding and calculating the implied rate, you can make informed predictions about future interest rates based on current spot and forward rates.
This calculation applies to any security with an associated option or futures contract, whether in commodities, stocks, or currencies. Implied rates help you gauge market expectations of future borrowing costs, enabling strategic financial decisions.
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