Integrated Business Solutions (Multidisciplinary Case Study with Strategic Management) · Advanced Financial Management

Risk Management and Derivatives for CA Final (IBS and AFM)

Updated 5 October 2026 · Fact-checked

Risk management and derivatives is the use of forwards, futures, options and swaps to fix or limit the effect of price, rate or currency movements. To solve a question, identify the exposure, pick the instrument, compute the payoff or net cash flow at expiry, and compare it with the unhedged outcome.

Understand Risk Management and Derivatives

Every business faces financial risk: the price of a commodity, an exchange rate or an interest rate can move against it. A derivative is a contract whose value depends on an underlying asset, rate or index. You use it to transfer that risk to someone willing to bear it.

A forward is a private contract to buy or sell an asset at a fixed price on a future date. It is tailor-made, traded over the counter and carries counterparty risk. A future is the same idea but standardised, exchange-traded, and marked to market daily with margin. That is the core difference between forwards and futures.

An option gives the buyer a right, not an obligation. A call gives the right to buy and a put gives the right to sell at the strike price. The buyer pays a premium and the loss is limited to it. The seller (writer) receives the premium and carries the large risk.

A swap is an agreement to exchange cash flows. In an interest rate swap, one party pays a fixed rate and receives a floating rate on a notional amount. The notional is not exchanged. Only the net interest difference is paid. Companies use swaps to convert floating-rate debt into fixed, or the reverse, or to use a comparative advantage in borrowing.

In Paper 6 the same ideas come inside a case study. You may be asked to choose a hedge for a company's loan, export receivable or share holding, then explain the result and its limits. Always link the instrument to the exposure first.

Key rules to remember

Long call payoff at expiry: Profit = max(S − X, 0) − Premium; S is spot price at expiry and X is strike. Maximum loss is the premium.
Long put payoff at expiry: Profit = max(X − S, 0) − Premium; Used to protect against a fall in price.
Short option payoff: Writer's profit = − (buyer's profit); The writer's maximum gain is the premium received.
Put-call parity (European, no dividends): C + X ÷ (1 + r)^t = P + S₀; Use continuous form C + X × e^(−rt) = P + S₀ if the rate is continuously compounded. C and P are call and put premiums.
Cost of carry futures price: F = S₀ × (1 + r)^t; Adjust for income such as dividends: subtract the present value or amount of the income. Add storage costs if given.
Futures gain or loss: Long: (Closing price − Entry price) × Lot size; Short: the reverse; Settled daily through margin.
Hedge ratio for index futures: Number of contracts = (Target β − Current β) × Portfolio value ÷ (Index level × Lot size); The result is negative whenever target β is below current β, which means sell futures. It is positive when target β is above current β, which means buy futures. A full hedge is the special case where target β = 0, so the result is negative and the number of contracts to sell is β × Portfolio value ÷ (Index level × Lot size). For a partial hedge, use the same formula and sell the magnitude of the negative result.
Interest rate swap net payment: Net = (Fixed rate − Floating rate) × Notional × Period fraction; The fixed payer pays this if positive and receives if negative.
Swap saving from comparative advantage: Total gain = |Difference in fixed-rate spreads − Difference in floating-rate spreads|; A swap pays only if the two differentials differ. If they are equal, there is no gain. Share the gain as agreed between the parties, usually equally unless told otherwise.

How to solve Risk Management and Derivatives questions

Use this order for any derivatives or hedging question. It keeps your working clear and earns step marks.

1Identify the exposure: are you long or short the underlying, and what hurts you, a rise or a fall?
2Choose the instrument that offsets that exposure: short futures or a put for a holder, long futures or a call for a future buyer, pay-fixed swap for floating-rate borrowers.
3Write the contract details: strike, premium, lot size, number of contracts, expiry and rates.
4Compute the outcome at each relevant expiry price or rate, including premium and any financing cost.
5Add the hedge result to the underlying position to get the net outcome. Compare it with the unhedged position.
6State the break-even point and the maximum gain and loss where asked.
7Conclude with a recommendation and mention one limit, such as basis risk, margin or counterparty risk.

Quickest way: Payoff table in three lines

When to use it: Use it for option strategies such as straddles, spreads and protective puts when you are short of time.

Mark each leg as long or short with its strike and premium paid or received.
Compute total profit at three points: below the lowest strike, between strikes, and above the highest strike.
Net the premium once. Find the break-even by setting profit to zero in the segment where it changes sign.
Check that the maximum loss equals the net premium paid for long-only strategies.

Common mistakes in Risk Management and Derivatives

Ignoring the premium when computing option profit
Students stop after finding the exercise value.
Fix: Always write Profit = exercise value − premium for the buyer, and the reverse for the writer.
Treating options as an obligation for the buyer
Forwards and options get mixed up.
Fix: Buyer exercises only if it pays. If not, the loss is the premium, so the payoff never goes below −premium.
Using the wrong side of a swap
Pay and receive legs get reversed under pressure.
Fix: Draw a small arrow diagram for each party and write the fixed and floating legs before computing the net.
Forgetting lot size and number of contracts
Per-unit and total values are mixed.
Fix: Multiply the per-unit result by the lot size and then by the number of contracts. Write the unit in each line.
Confusing forwards and futures in theory answers
Both fix a future price.
Fix: Write the points: customised versus standardised, OTC versus exchange, no margin versus daily margin, and counterparty risk versus clearing house guarantee.
Declaring a hedge perfect
Students assume the futures price moves exactly with spot.
Fix: Mention basis risk and contract size mismatch in your conclusion.

Worked examples

Example 1

A company holds 10,000 shares of Alpha Ltd, now at ₹500. It fears a fall and buys 10,000 put options with a strike of ₹490 at a premium of ₹12 per share. Find the net value per share and in total if the price at expiry is (a) ₹420 and (b) ₹560. Ignore the cost of funds.

Show the solution

Total outflow for the premium is 10,000 × ₹12 = ₹1,20,000, or ₹12 per share.
(a) At ₹420 the put is exercised. The company sells at ₹490. Net per share = 490 − 12 = ₹478. Total = 478 × 10,000 = ₹47,80,000.
(b) At ₹560 the put lapses. The company sells at ₹560 in the market. Net per share = 560 − 12 = ₹548. Total = 548 × 10,000 = ₹54,80,000.
The floor on the net value is ₹478 per share, whatever the fall. The upside stays open, reduced by the premium.

Answer: At ₹420 the net value is ₹478 per share (₹47,80,000). At ₹560 it is ₹548 per share (₹54,80,000). The protective put guarantees a minimum of ₹478 per share.

Example 2

Firm X can borrow fixed at 10% or floating at MIBOR + 1%. Firm Y can borrow fixed at 12% or floating at MIBOR + 1.5%. X wants floating and Y wants fixed. They enter a swap and share the total gain equally. Find the gain for each and the effective cost to each.

Show the solution

Difference in fixed rates = 12% − 10% = 2%. Difference in floating spreads = 1.5% − 1% = 0.5%.
Total gain = 2% − 0.5% = 1.5%. Each firm gains 0.75%.
Without the swap, X pays MIBOR + 1% (floating, as it wants) and Y pays 12% (fixed, as it wants). Total cost = MIBOR + 1% + 12% = MIBOR + 13%.
With the swap, X borrows fixed at 10% (its comparative advantage) and Y borrows floating at MIBOR + 1.5%. Total cost = 10% + MIBOR + 1.5% = MIBOR + 11.5%. The saving is MIBOR + 13% − (MIBOR + 11.5%) = 1.5%, split 0.75% each.
Swap terms that deliver this split: X pays Y MIBOR flat on the notional, and Y pays X 9.75% fixed.
X's cash flows: pays 10% to its lender, pays MIBOR to Y, receives 9.75% from Y. Net cost = 10% + MIBOR − 9.75% = MIBOR + 0.25%. This is 0.75% below MIBOR + 1%.
Y's cash flows: pays MIBOR + 1.5% to its lender, receives MIBOR from X, pays 9.75% to X. Net cost = MIBOR + 1.5% − MIBOR + 9.75% = 11.25%. This is 0.75% below 12%.
Check: MIBOR + 0.25% + 11.25% = MIBOR + 11.5%, which matches the total cost with the swap.

Answer: The total gain is 1.5%, so each firm gains 0.75%. With X paying Y MIBOR and Y paying X 9.75%, X's effective cost is MIBOR + 0.25% and Y's is 11.25% fixed.

Exam tips

In case-scenario MCQs, find the exposure first. The right instrument usually follows directly from it.
For written answers, show the payoff at each expiry level in a small table so the examiner can award step marks.
Always state break-even, maximum loss and maximum gain when a strategy is asked.
In Paper 6, close your answer with a recommendation and a limit of the hedge, such as basis risk or counterparty risk.
Check units: per-share, per-lot and total rupees, and the period fraction in swap interest.

Practice questions from Advanced Financial Management

Risk Management and Derivatives in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Risk Management and Derivatives: frequently asked questions

What is the difference between forwards and futures?

A forward is a customised over-the-counter contract settled at maturity, with counterparty risk. A future is a standardised exchange-traded contract with daily mark-to-market, margin and a clearing house guarantee.

How do I calculate option payoff?

For a call buyer, profit is the larger of (spot − strike) and zero, minus the premium. For a put buyer, it is the larger of (strike − spot) and zero, minus the premium. The writer's result is the opposite.

Is the notional amount exchanged in an interest rate swap?

No. The notional is only a base for computing interest. Only the net interest difference is paid on each settlement date.

How is this topic examined in Paper 6?

It appears inside a case study, where you pick a hedge for a loan, receivable or investment and explain the result. Expect a mix of MCQs and a short written answer with a recommendation.