Introduction to forward contracts
This sub‑topic introduces forward contracts, a cornerstone of equity derivatives. It explains the definition, key features, pricing mechanics, and regulatory considerations that are frequently tested in the NISM Series VIII exam. Understanding forwards helps you answer questions on valuation, risk, and the differences between forwards and futures.
Learning Objectives
- 1Define a forward contract and identify its parties.
- 2Explain the cost‑of‑carry model used to price forwards.
- 3Distinguish forwards from futures on key attributes.
- 4Apply the forward pricing formula to simple Indian market scenarios.
What is a Forward Contract?
A forward contract is a customized, over‑the‑counter (OTC) agreement between two counterparties to buy or sell an underlying asset at a predetermined price on a specified future date.
The buyer commits to purchase, and the seller commits to deliver, the asset regardless of the market price at maturity. Because the contract is private, its terms – such as quantity, delivery date, and settlement method – can be tailored to the needs of the participants.
In the Indian context, forwards are commonly used for equity indices (e.g., NIFTY), individual stocks, and currency pairs. SEBI classifies them as “derivative contracts” and requires that brokers disclose the credit risk associated with OTC exposure.
- Customization – Parties negotiate all terms.
- No daily marking‑to‑market – Profit or loss is realised only at settlement.
Students often confuse the contract’s expiry date with the actual settlement date. In forwards, the two are the same; the contract terminates on the agreed delivery date, and cash or physical delivery occurs then.
Key Characteristics of Forward Contracts
Forward contracts are traded exclusively OTC, meaning they are not listed on any exchange. This lack of a central marketplace eliminates the need for margin or daily cash flows, but it introduces counter‑party credit risk.
Because the contract is settled only once – at maturity – there is no marking‑to‑market. The parties must therefore assess the creditworthiness of each other and may require collateral or a credit support annex (CSA) to mitigate default risk.
Forwards can be settled either physically (delivery of the underlying shares) or in cash (difference between forward price and spot price). The choice is usually stipulated in the contract and influences tax treatment under Indian law.
- OTC nature – No exchange‑based price transparency.
- Credit exposure – Managed through collateral agreements.
Cost‑of‑Carry Model
The forward price reflects the cost of carrying the underlying asset from today (time 0) to the delivery date (time T). Carry costs include financing (risk‑free interest), storage, and any income earned from the asset, such as dividends. In equity forwards, the dividend yield is treated as a benefit that reduces the forward price.
Mathematically, the model is expressed as spot price multiplied by the exponential of the net carry cost over the contract’s life. Continuous compounding is the standard convention in the NISM syllabus because it simplifies the relationship between rates and time.
Understanding each component – risk‑free rate (r), storage cost (u), and convenience yield or dividend yield (y) – is essential for answering pricing and valuation questions, especially when the exam presents a change in any one of these inputs.
Where:
F= Forward price at maturity in rupeesS_{0}= Current spot price of the underlying in rupeesr= Risk‑free interest rate (annual, expressed as a decimal)u= Storage cost rate (annual, decimal) – often zero for equitiesy= Dividend yield or convenience yield (annual, decimal)T= Time to maturity in yearsWorked Example
Given S0 = 1000, r = 0.05, u = 0.02, y = 0.01, T = 1 year: Step 1: Net rate = r + u - y = 0.05 + 0.02 - 0.01 = 0.06 Step 2: Exponential factor = e^{0.06} ≈ 1.0618 Step 3: F = 1000 × 1.0618 ≈ 1061.8 Verification: 1000 × e^{(0.05+0.02-0.01)×1} = 1061.8.
Factors Influencing Forward Price
The forward price moves in tandem with the spot price because the spot is the base of the cost‑of‑carry formula. Any rise in the spot immediately raises the forward, all else equal.
Interest rates are a major driver. A higher risk‑free rate increases the financing cost, pushing the forward price above the spot. Conversely, a higher dividend yield reduces the forward price because the holder forgoes dividend income.
For equity forwards, storage costs are typically negligible, but for commodity forwards (e.g., gold) they become significant. The net effect is captured by the term (r + u - y).
- Spot price (S0) – Directly proportional to forward price.
- Risk‑free rate (r) – Higher r → higher forward.
- Dividend yield (y) – Higher y → lower forward.
Comparison of Forward and Futures Contracts
| Attribute | Forward Contract | Futures Contract |
|---|---|---|
| Trading venue | Over‑the‑counter (OTC) | Exchange‑traded |
| Standardisation | Highly customised | Standard contract specifications |
| Margin requirement | Typically none; collateral may be required | Daily marking‑to‑market with margin |
| Credit risk | Counter‑party risk | Clearing house mitigates risk |
| Settlement | Physical or cash at maturity | Daily cash settlement; final settlement at expiry |
Valuation of Existing Forward Contracts
When a forward contract is already in place, its value at any intermediate time (t) is the present value of the difference between the current forward price for the remaining maturity and the originally agreed forward price.
Mathematically, the value V_t = (F_{t} - K) \times e^{-r(T-t)}, where K is the original contract price, F_{t} is the forward price calculated at time t for the remaining period, and r is the risk‑free rate.
Because forwards are not marked‑to‑market daily, traders must compute this value to assess profit or loss, to decide on early termination, or to manage credit exposure.
- Positive value – Current forward price > original price.
- Negative value – Current forward price < original price.
Students sometimes apply the futures pricing formula that includes daily marking‑to‑market. Remember, forwards use the pure cost‑of‑carry model without the impact of margin.
Practical Example – NIFTY Forward
Scenario
An investor wants to lock in the price of the NIFTY index for delivery in three months. Today, NIFTY is at 18,000 points. The annual risk‑free rate is 6%, and the expected dividend yield on the index is 1.5%. Assume storage cost is zero.
Solution
Step 1: Convert rates to decimal and time to years: r = 0.06, y = 0.015, T = 3/12 = 0.25 years.\nStep 2: Net carry rate = r - y = 0.06 - 0.015 = 0.045.\nStep 3: Exponential factor = e^{0.045 × 0.25} ≈ e^{0.01125} ≈ 1.0113.\nStep 4: Forward price = S0 × factor = 18,000 × 1.0113 ≈ 18,203.\nThus, the 3‑month forward price is approximately 18,203 points.
Conclusion
The forward price is slightly above the spot because the financing cost exceeds the dividend benefit. The exam often asks you to identify which component (rate or dividend) is driving the price difference.
Forward Price of NIFTY for Different Maturities (Assuming r=6%, y=1.5%)
Regulatory & Accounting Aspects
SEBI’s “Derivatives Market Regulations” require that brokers disclose the exposure arising from forward contracts and maintain adequate capital to cover potential losses. While forwards are not exchange‑traded, they fall under the broader derivative reporting obligations.
From an accounting perspective, Indian GAAP treats forward contracts as financial instruments. At inception, no entry is recorded. Subsequently, the contract is re‑measured at fair value, and any unrealised gain or loss is recognised in the profit and loss statement.
For tax purposes, gains from forward contracts on equity indices are taxed as capital gains, with the holding period starting from the date of contract initiation. This nuance is frequently examined in scenario‑based questions.
Exam Tips
Memorise the forward‑price formula and the meaning of each variable; a quick substitution often yields the answer.
When a question provides spot price, interest rate, dividend yield, and time, plug them directly into the cost‑of‑carry model – do not try to approximate with simple interest.
Watch out for distractors such as storage cost for equities (usually zero) and for the distinction between continuous and discrete compounding. The NISM syllabus assumes continuous compounding unless explicitly stated otherwise.
Finally, always read the contract specifications: physical vs. cash settlement, and whether the forward is on an index or a single stock, as these affect dividend treatment and tax implications.
⭐Exam Takeaways
- A forward contract is a bespoke OTC agreement to buy or sell an asset at a fixed price on a future date.
- Forward price is derived using the cost‑of‑carry model: F = S0 × e^{(r+u‑y)T}.
- Key differences from futures: no daily marking‑to‑market, higher counter‑party risk, and customized terms.
- Valuation of an existing forward uses Vt = (Ft‑K) × e^{-r(T‑t)}; positive when current forward exceeds the original price.
- In Indian equity forwards, storage cost (u) is typically zero; dividend yield reduces the forward price.
- SEBI requires disclosure of forward exposure and fair‑value accounting; gains are taxed as capital gains.
- Common exam trap: applying futures‑specific concepts (margin, daily settlement) to forwards.
Practice Questions
8 questions on Introduction to forward contracts
What are the two parties involved in a forward contract?
Which feature distinguishes forward contracts from futures contracts regarding margin requirements?
Using the cost‑of‑carry model, calculate the forward price when S₀=1000 ₹, r=5%, u=2%, y=1%, and T=1 year (continuous compounding).
In the 3‑month NIFTY forward example, why is the forward price (≈18,203) higher than the spot price (18,000)?
An existing forward contract has an original price K=1060 ₹. Six months later (t=0.5 yr), the spot price is 1050 ₹, r=5%, y=1%, u=0, and the original maturity is 1 yr. What is the value of the contract at time t?
Which statement correctly describes the relationship between settlement date and expiry date for a forward contract?
Which of the following is NOT a typical characteristic of forward contracts?
Under SEBI’s Derivatives Market Regulations, brokers must disclose which aspect of forward contracts?
