CFA Level 1 Pricing & Valuation of Forward Contracts | Derivatives

Forward contracts are an important topic in the Derivatives section of the CFA Level 1 curriculum. These contracts allow two parties to agree today on the price of an asset that will be exchanged at a future date. Forward contracts are widely used for hedging, speculation, and arbitrage.

Understanding how forward contracts are priced and valued helps candidates build a strong foundation in derivatives and risk management.

What is a Forward Contract?

A forward contract is a customized agreement between two parties. Under this agreement, an asset is bought or sold at a predetermined price on a future date. The buyer of the contract takes a long position. The seller takes a short position. The long position benefits when the asset price rises. The short position benefits when the asset price falls.

Key Features of Forward Contracts

• Traded in the over-the-counter (OTC) market

• Customized according to the needs of both parties

• No daily settlement

• Usually no margin requirement

• Settlement occurs at contract maturity

• Higher counterparty risk compared to futures

Forward Contracts vs Futures Contracts

Although forward and futures contracts are similar, they have some important differences.

Long and Short Positions

Every forward contract has two parties:

Long Position

The buyer agrees to purchase the asset in the future. The buyer expects the asset price to increase.

Short Position

The seller agrees to deliver the asset in the future. The seller expects the asset price to decrease. If the market moves according to the investor's expectation, the investor earns a profit.

Uses of Forward Contracts

Forward contracts are used for different purposes in financial markets.

Hedging: Investors use forward contracts to reduce risk. For example, a portfolio manager who fears a market decline may use short forward contracts to offset potential losses.

Speculation: Traders use forward contracts to profit from expected price movements. If a trader expects prices to rise, the trader may take a long position. If prices are expected to fall, the trader may take a short position.

Arbitrage: Arbitrage involves taking advantage of price differences across markets. An investor may buy an asset where it is cheaper and sell it where it is more expensive. This creates a low-risk profit opportunity.

Pricing of Forward Contracts

Forward pricing is based on the principle of no-arbitrage. The forward price should be set in a way that does not allow risk-free profit opportunities. The basic forward pricing formula is:

F_0=S_0(1+r)^T

Where:

• (F_0) = Forward Price

• (S_0) = Current Spot Price

• (r) = Risk-Free Interest Rate

• (T) = Time to Maturity

This formula assumes that there are no additional costs or benefits associated with holding the asset.

Example of Forward Pricing

Assume:

• Current spot price = ₹25,000

• Risk-free rate = 10%

• Time = 1 year

The forward price will be:

[F_0 = 25,000 \times (1.10)]

[F_0 = ₹27,500]

Therefore, the fair forward price is ₹27,500.

Cost of Carry Model

In practice, holding an asset may involve additional costs or benefits. These factors affect the forward price.

Carrying Costs

Carrying costs increase the forward price. Examples include:

• Storage costs

• Insurance expenses

• Transportation costs

These costs must be included while determining the forward price.

Carrying Benefits

Benefits reduce the forward price. Examples include:

• Dividends on stocks

• Income from the asset

• Convenience yield

Since the investor receives these benefits during the holding period, the forward price decreases.

Forward Pricing with Costs and Benefits

The forward price can be represented as:

[Forward\ Price = Spot\ Price + Future\ Value\ of\ Costs - Future\ Value\ of\ Benefits]

This relationship is important for understanding commodity forwards and equity forwards.

Convenience Yield

Convenience yield is a special benefit available to the owner of a physical asset. It refers to the advantage of having immediate access to the asset.

For example, an oil producer holding physical oil may benefit from sudden increases in demand. This advantage is known as convenience yield. A higher convenience yield generally reduces the forward price.

Factors Affecting Forward Prices

Several variables influence forward prices:

• Spot Price: A higher spot price generally leads to a higher forward price.

• Interest Rate: An increase in the risk-free rate increases the forward price.

• Time to Maturity: A longer contract period usually results in a higher forward price.

• Carrying Costs: Higher storage and insurance costs increase the forward price.

• Benefits: Higher dividends or convenience yields reduce the forward price.

Valuation of Forward Contracts

Pricing and valuation are different concepts:

Pricing: Pricing refers to determining the fair forward price when the contract is initiated.

Valuation: Valuation refers to determining the current value of an existing forward contract after it has been created. As market conditions change, the value of the contract changes. If the market price rises above the agreed forward price, the long position gains value. If the market price falls below the agreed forward price, the short position gains value.

Convergence at Maturity

An important feature of forward contracts is convergence. At expiration, the forward price and spot price become equal. This happens because any price difference would create an arbitrage opportunity.

Therefore:

[Forward\ Price = Spot\ Price]

at maturity.

Advantages of Forward Contracts

Forward contracts provide several benefits.

• Flexible contract terms

• Useful for hedging risk

• Suitable for customized transactions

• Helpful for managing future price uncertainty

Risks of Forward Contracts

Forward contracts also involve risks.

• Counterparty Risk: One party may fail to fulfill the contract.

• Liquidity Risk: Forward contracts are not traded on exchanges, so finding a counterparty may be difficult.

• Market Risk: Unexpected price movements can lead to losses.

• Valuation Risk: Changes in interest rates and market conditions affect contract value.

Forward contracts are important derivative instruments used for hedging, speculation, and arbitrage. They are customized agreements traded in the OTC market and differ from futures contracts in terms of standardization, settlement, and risk. The pricing of forward contracts is based on the no-arbitrage principle and the cost of carry model. Candidates preparing for CFA Level 1 should understand forward pricing formulas, valuation concepts, carrying costs, carrying benefits, and the factors that influence forward prices. A clear understanding of these concepts helps build a strong foundation in derivatives and financial risk management.