Week 10: Spot & Forward Rates — Forward Premium/Discount, Quotations & Numerical Problems
Learning Objectives
By the end of this session, students will be able to:
Distinguish between spot and forward rates, explain the two quotation conventions for forward rates (outright vs. swap points), and convert between these conventions to interpret how the forward market prices a currency relative to the spot market.
Compute the forward premium or discount on a currency — in both absolute and percentage terms — and annualise it to compare across different maturities, interpreting the result as the market's pricing of expected exchange rate changes and the interest rate differential.
Solve numerical problems on spot and forward rates — computing outright forward rates from spot and forward points, determining whether a currency trades at a forward premium or discount, and calculating the annualised premium/discount to assess market expectations.
Connect the forward premium/discount to the Covered Interest Rate Parity (CIRP) condition from Week 7, using the forward rate as the practical instrument through which interest rate differentials are arbitraged and corporate FX exposures are hedged.
4-Hour Session Planner
This is a numerically intensive session — the second of three in Unit 3's computational spine. Faculty should aim for at least 50 minutes of board-based problem-solving.
Opening Hook: "Locking In Tomorrow's Rate Today — Is the Forward Rate a Crystal Ball?"
15 minStudents are shown today's USD/INR spot rate (83.00) and the 12-month forward rate (84.58). "The forward market is already pricing the rupee at 84.58 — a depreciation of nearly 2% from today. Is this the market's forecast of where the rupee will be in 12 months? Or is it simply the mathematical consequence of the INR/USD interest rate differential?"
Section 1: Spot Rates — Recap & Settlement Conventions
20 minBrief recap of spot quotations (Week 9). Spot settlement: T+0 (cash), T+1 (tom), T+2 (spot — standard for most pairs; T+1 for USD/CAD). Value dates and the importance of settlement timing for corporate cash management.
Section 2: Forward Rates — Meaning, Purpose & Quotation
30 minWhat is a forward contract? Why do firms use them? The forward rate as a price agreed today for currency exchange at a specified future date. Two quotation conventions: outright forward rate and swap (forward) points. Converting between the two. Standard maturities: 1W, 2W, 1M, 3M, 6M, 9M, 1Y. Broken dates and how they are priced.
Section 3: Forward Premium / Discount — Calculation & Interpretation
30 minForward premium: when the forward rate exceeds the spot rate (foreign currency is more expensive forward). Forward discount: when the forward rate is below the spot rate. Computing the premium/discount in absolute and percentage terms. The relationship: forward premium on the foreign currency ≈ domestic interest rate minus foreign interest rate (CIRP).
CQ Box 1: Forward Points Interpretation
10 minStudents are given spot rates and forward points for multiple maturities (1M, 3M, 6M, 1Y). They compute: outright forwards, premium/discount, annualised premium/discount for each tenor. Then interpret: "Why does the annualised premium change with maturity? What does the term structure of forward points tell us about expected interest rate paths?"
Section 4: Annualising the Forward Premium/Discount
20 minThe formula: Annualised premium = [(F−S)/S] × (12/n) × 100. Why annualising is essential for comparing across maturities. Multiple worked examples with different tenors. The relationship between annualised premium and the interest rate differential — testing CIRP with market data.
In-Lecture Quiz (4 Questions)
10 minQuiz covering forward quotation conventions, premium/discount computation, annualisation, and the relationship between forward rates and interest rate differentials.
Section 5: Numerical Problem Set — Spot & Forward Rates
50 min10 problems: guided (6) + independent (4). Computing outright forwards from spot + points, calculating forward premiums/discounts, annualising, comparing across currencies and maturities, and applying forward rates to corporate hedging scenarios. Problems of increasing complexity with board-based solutions.
CQ Box 2: Corporate Hedging Application
15 min"Your firm must pay USD 10 million in 6 months. The 6M forward is 84.20 vs spot 83.00. Your bank offers you an option: lock in the forward today, or wait until the payment date and transact at the spot rate. What factors — beyond the forward premium — should you consider? Present value, risk tolerance, and the uncertainty of the forecast make this more than a simple arithmetic decision."
Scenario Debate: Forward Rate Applications for Indian Firms
25 minFour persona cards presenting firms using forward contracts for hedging, speculation, and strategic positioning. Groups analyse and present hedging strategies.
Key Concepts Glossary & Exit Ticket
15 minFaculty reviews 11 key terms. Exit Ticket with forward premium computation. Preview of Week 11 (Cross Rates & Arbitrage — final week of Unit 3).
"Right now, the USD/INR spot rate is 83.00. Your bank quotes you a 12-month forward rate of 84.58. You can lock in 84.58 today for a transaction that will settle in one year. Is the bank offering you a forecast — 'we think the rupee will be 84.58' — or is the bank offering you a mathematically derived price that has nothing to do with anyone's opinion about where the rupee is heading?"
Navigating the "Forecast or Arbitrage?" Debate
The correct answer is nuanced: The forward rate is primarily an arbitrage price (CIRP). But it also embeds market expectations — if the market believed the rupee would be 90 in 12 months, speculators would buy USD forward (betting the actual rate will be higher than the forward), pushing the forward rate up until it reflected the expected rate. So the forward is simultaneously: (a) an arbitrage price (determined by interest differentials) AND (b) a market-clearing price that balances hedgers and speculators. Where hedgers dominate (as in INR, where corporates are net sellers of USD forward to hedge export receivables), the forward may embed a "hedging pressure" premium or discount beyond CIRP.
1. Spot Rates — Settlement Conventions & Value Dates
1.1 Spot Rate Recap
The spot exchange rate is the price for immediate delivery of one currency against another. "Immediate" in the FX market does not mean instantaneous — it means settlement according to the standard value-date convention for the currency pair.
Standard settlement conventions:
- T+2 (Spot): The dominant convention for most currency pairs (EUR/USD, USD/JPY, GBP/USD, USD/INR). A trade executed on Monday settles on Wednesday — two business days after the trade date. A trade on Thursday settles on Monday (Saturday and Sunday are non-business days).
- T+1: USD/CAD settles T+1. A trade on Monday settles Tuesday.
- T+0 (Cash / Same-Day): Some transactions settle on the trade date itself — typically small retail transactions or urgent corporate payments. Cash rates are slightly different from spot rates because the interest-rate adjustment for the shorter settlement period is embedded in the rate.
- T+3 or longer: Historically, spot was T+2 for most pairs, but settlement cycles have been shortening. Some EM pairs still use longer settlement.
Why settlement timing matters for IFM: A corporate treasurer booking a spot FX trade on Thursday for settlement on Monday must ensure that INR funds are available in the firm's account on Monday morning for the debit, and that USD funds will be credited on Monday. If Monday is an Indian or US holiday, the value date shifts. The gap between trade date and settlement date is a window of settlement risk (Herstatt risk) — the risk that the counterparty fails between trade and settlement. CLS (Continuous Linked Settlement, Week 9) eliminates this risk for CLS-eligible currencies and counterparties.
2. Forward Rates — Meaning, Purpose & Quotation
2.1 What Is a Forward Contract?
A forward contract is a binding agreement between two parties to exchange specified amounts of two currencies at a specified exchange rate (the forward rate) on a specified future date (the value date / maturity date). The price (forward rate), the amounts, and the date are all fixed at the time the contract is entered into — no money changes hands at inception (beyond possibly margin/collateral). At maturity, the two parties exchange the full principal amounts at the contracted forward rate, regardless of what the spot rate is on that day.
Why firms use forward contracts: To eliminate exchange rate uncertainty on a known future foreign-currency cash flow. An Indian importer who must pay USD 5 million in 3 months faces the risk that the rupee depreciates (making the USD more expensive in INR). By buying USD 5 million forward at a rate fixed today, the importer knows exactly the INR cost — regardless of where the spot rate is in 3 months. The forward contract converts an uncertain future cash flow into a certain one.
2.2 Two Quotation Conventions: Outright vs. Forward Points
Forward rates are quoted in two ways, and the financial manager must be fluent in both:
1. Outright Forward Rate: The full forward rate, stated exactly like a spot rate (e.g., USD/INR 3-month forward = 83.55). This is what corporate clients typically see on their bank's FX portal.
2. Forward (Swap) Points: The difference between the forward rate and the spot rate, quoted in pips (the smallest price unit). Forward points = Forward rate − Spot rate. For USD/INR with spot = 83.00 and 3M forward = 83.55: the 3-month forward points are +55 paise (or +0.55 when expressed in rupees). In the interbank market, dealers quote forward points, not outright rates — because the spot rate is constantly changing, but the forward points (determined by the interest rate differential) are relatively stable within a trading day.
Converting between quotations:
- Points → Outright: Outright Forward = Spot + Forward Points. If spot USD/INR = 82.95/83.00 and 3M points = 45/48 paise: 3M outright = 82.95+0.45 / 83.00+0.48 = 83.40 / 83.48.
- Points can be positive or negative: If the foreign currency is at a forward premium (interest rate on the foreign currency is lower), forward points are positive (the forward rate is above the spot). If the foreign currency is at a forward discount (foreign interest rate is higher), forward points are negative.
2.3 Standard Forward Maturities and Broken Dates
Standard maturities: 1 day (T/N — tom/next), 1 week, 2 weeks, 1 month, 2 months, 3 months, 6 months, 9 months, 12 months (1 year). For maturities beyond 1 year, liquidity thins and spreads widen — particularly for EM currencies like INR. The RBI permits forward contracts up to the tenor of the underlying exposure (i.e., a firm can hedge an export receivable due in 18 months with an 18-month forward).
Broken dates / odd dates: A forward contract maturing on a date that is not a standard tenor (e.g., 47 days). Banks price broken-date forwards by interpolating between the two nearest standard tenors. For the corporate treasurer, broken dates are essential — the firm's payment or receipt rarely falls exactly on a standard maturity date.
3. Forward Premium and Discount — Calculation & Interpretation
3.1 Definitions
The forward premium or forward discount measures whether a currency is more expensive (premium) or cheaper (discount) in the forward market relative to the spot market. The premium/discount is always expressed relative to the spot rate.
3.2 Computing the Forward Premium/Discount
Absolute Forward Premium/Discount (for the period): (F − S)
Forward Premium/Discount as a Percentage (for the period):
Where F = forward rate, S = spot rate. Both in direct quote terms (domestic currency per foreign). A positive value means the foreign currency is at a forward premium (it is more expensive forward than spot). A negative value means the foreign currency is at a forward discount.
Numerical Example 1 — Computing the Premium: Spot USD/INR = 83.00. 3-month forward = 83.45. The USD is at a forward premium. 3-month premium = (83.45 − 83.00) / 83.00 × 100 = 0.54% for 3 months.
Numerical Example 2 — Foreign Currency at a Discount: Spot EUR/INR = 90.00. 6-month forward = 89.10. The EUR is at a forward discount. 6-month discount = (89.10 − 90.00) / 90.00 × 100 = −1.00% for 6 months. A negative percentage means the foreign currency is cheaper forward than spot — a forward discount.
3.3 Interpreting the Forward Premium/Discount
Under CIRP, the forward premium on the foreign currency approximately equals the domestic-minus-foreign interest rate differential. If the 3-month forward premium on USD against INR is 0.54%, this implies that the 3-month INR interest rate exceeds the 3-month USD rate by approximately 0.54% per quarter, or about 2.16% on an annualised basis (0.54% × 4). The forward discount on the EUR against the INR of 1.00% over 6 months implies that the 6-month EUR interest rate exceeds the INR rate by approximately 2.00% annualised — suggesting that Eurozone short-term rates are higher than Indian rates (which historically has not been the case; this is a hypothetical example).
4. Annualising the Forward Premium/Discount
4.1 The Annualisation Formula
Forward premiums and discounts must be annualised to be comparable across different maturities. A 0.5% premium over 1 month is a far larger premium (in annual terms) than a 1.5% premium over 12 months.
Annualised Premium = [(F − S) / S] × (12 / n) × 100
Where n = number of months to forward maturity. For maturities in days: use (360 / n_days) or (365 / n_days) depending on the day-count convention for the currency pair.
4.2 Worked Examples — Annualisation
Example 1: Spot = 83.00. 3-month forward = 83.45. 3-month premium = (83.45 − 83.00) / 83.00 × 100 = 0.542%. Annualised = 0.542% × (12/3) = 0.542% × 4 = 2.17% p.a.
Example 2: Spot = 83.00. 1-month forward = 83.12. 1-month premium = (83.12 − 83.00)/83.00 × 100 = 0.145%. Annualised = 0.145% × 12 = 1.73% p.a.
Example 3 — Comparing two maturities: Spot = 83.00. 1M forward = 83.12. 1Y forward = 84.58. 1M annualised premium = 1.73%. 1Y premium = (84.58 − 83.00)/83.00 = 1.90%. The annualised premium differs across maturities — this is the term structure of forward points, reflecting that interest rate differentials vary across the yield curve. The 1-year INR-USD rate spread may not equal the 1-month spread, and the forward points for each tenor reflect the spread at that specific point on the curve.
Example 4 — Computing the implied interest rate differential: Spot = 83.00. 6-month forward = 83.80. 6-month premium = (83.80 − 83.00)/83.00 × 100 = 0.964%. Annualised = 0.964% × (12/6) = 1.93% p.a. This implies that the 6-month INR interest rate exceeds the 6-month USD rate by approximately 1.93 percentage points (annualised) — the approximate CIRP relationship.
A bank quotes the following USD/INR rates (spot and forward points in paise). Spot: 83.00 / 83.04.
Forward points (bid/ask in paise): 1M: 12/14. 3M: 38/42. 6M: 78/84. 12M: 155/165.
(a) For each tenor, compute the outright forward bid and ask rates.
(b) For each tenor, compute the forward premium on the USD (bid-side and ask-side) in percentage terms (using the midpoint spot).
(c) Annualise each premium.
(d) What does the variation in annualised premium across tenors tell you about the market's expectation of the INR/USD interest rate differential over different horizons? Why might the 1-month annualised spread differ from the 12-month annualised spread?
(e) If you are an Indian importer needing to pay USD 2 million in 6 months, what INR amount do you lock in today using the forward contract? (Use the ask rate — you are buying USD.)
For (b), use the midpoint spot = 83.02. Forward premium = (F_mid − S_mid) / S_mid. For the bid-side: F_bid = 83.00 + forward_bid. For the ask-side: F_ask = 83.04 + forward_ask.
Guided Solution
S_mid = (83.00 + 83.04)/2 = 83.02.
1M: F_bid = 83.00 + 0.12 = 83.12. F_ask = 83.04 + 0.14 = 83.18. F_mid = 83.15. Premium = (83.15 − 83.02)/83.02 = 0.157%. Annualised = 0.157% × 12 = 1.88%.
3M: F_mid = (83.00+83.04)/2 + (0.38+0.42)/2 = 83.02 + 0.40 = 83.42. Premium = 0.40/83.02 = 0.482%. Annualised = 0.482% × 4 = 1.93%.
6M: F_mid = 83.02 + 0.81 = 83.83. Premium = 0.81/83.02 = 0.976%. Annualised = 0.976% × 2 = 1.95%.
12M: F_mid = 83.02 + 1.60 = 84.62. Premium = 1.60/83.02 = 1.927%. Annualised = 1.927%.
The annualised premium rises slightly from 1.88% (1M) to 1.93–1.95% (3M–12M) — the term structure of INR-USD interest differentials is slightly upward-sloping at the short end. This could reflect: (i) market expectation that the RBI will raise rates (widening the short-term spread), or (ii) a term premium (compensation for longer-duration exposure), or (iii) simply the normal upward slope of yield curves.
(e) Importer buys USD 2M at F_ask: 6M F_ask = 83.04 + 0.84 = 83.88. INR cost = 2,000,000 × 83.88 = INR 16,77,60,000.
In-Lecture Formative Quiz
4 Questions • 10 MinutesSelect the best answer for each question, then click Check Answers.
1. USD/INR spot = 83.00. 3-month forward points = +45 paise. What is the 3-month outright forward rate?
2. Spot EUR/INR = 90.00. 6-month forward = 89.10. The EUR is trading at a forward ___ and the annualised forward ___ is approximately:
3. Under CIRP, if the INR 12-month interest rate is 7.0% and the USD 12-month rate is 4.5%, the USD should trade at a forward ___ against the INR of approximately:
4. Spot USD/INR = 83.00. 1-month forward points = +12 paise. The annualised forward premium on the USD is closest to:
5. Numerical Problem Set — Spot & Forward Rates
Solve the following problems. Show the formula, substitute values, compute, and interpret. Problems 1–6 are guided; 7–10 for independent practice.
Outright Forward: F = S + Forward Points
Forward Premium (%): (F − S)/S × 100
Annualised Premium (%): [(F − S)/S] × (12/n) × 100 (n in months)
CIRP: F = S × (1 + i_h × t) / (1 + i_f × t) for period t
Implied Interest Differential (approx.): i_h − i_f ≈ Annualised Forward Premium
Guided Practice (Problems 1–6)
Problem 1 — Outright Forward from Points: Spot USD/INR = 82.80/82.86. 3-month forward points = 40/44 paise. Compute the 3-month outright forward bid and ask rates.
Solution: F_bid = 82.80 + 0.40 = 83.20. F_ask = 82.86 + 0.44 = 83.30. Quote: USD/INR 3M = 83.20/83.30.
Problem 2 — Forward Premium (Foreign Currency Perspective): Spot = 83.00. 6M forward = 83.75. Compute the forward premium on the USD in percentage terms and annualise it.
Solution: 6M premium = (83.75 − 83.00)/83.00 = 0.904%. Annualised = 0.904% × (12/6) = 1.81% p.a.
Problem 3 — Forward Discount: Spot GBP/INR = 105.00. 12M forward = 103.95. Is the GBP at a forward premium or discount? Compute the annualised rate.
Solution: 12M change = (103.95 − 105.00)/105.00 = −1.00%. The GBP is at a forward discount of 1.00% (annualised, since it's a 12M tenor). This implies GBP interest rates exceed INR rates by approximately 1.00%.
Problem 4 — Implied Interest Rate Differential: Spot = 83.00. 3M forward = 83.45. What is the approximate annualised INR-USD interest rate differential implied by this forward premium?
Solution: Annualised premium on USD = ((83.45 − 83.00)/83.00) × (12/3) = 0.542% × 4 = 2.17%. Under CIRP, this implies i_INR − i_USD ≈ 2.17 percentage points (annualised).
Problem 5 — Corporate Hedging: An Indian importer must pay USD 500,000 in 6 months. Spot USD/INR = 83.00. 6M forward points = +80 paise. (a) At what rate can the importer lock in the USD purchase? (b) What is the INR cost today (at spot) vs. the locked-in INR cost (at forward)? (c) If the spot rate in 6 months turns out to be 85.00, how much did the importer save by hedging?
Solution: (a) 6M F = 83.00 + 0.80 = 83.80. (b) Spot cost today = 500,000 × 83.00 = INR 4,15,00,000. Forward locked-in cost = 500,000 × 83.80 = INR 4,19,00,000. (c) Without hedge: 500,000 × 85.00 = INR 4,25,00,000. Saving from hedging = 4,25,00,000 − 4,19,00,000 = INR 6,00,000.
Problem 6 — Comparing Forward Premiums Across Currencies: For the same maturity (3 months): USD/INR spot = 83.00, 3M F = 83.45. EUR/INR spot = 90.00, 3M F = 90.25. GBP/INR spot = 105.00, 3M F = 104.50. (a) Compute the annualised forward premium/discount for each foreign currency against INR. (b) Rank the three currencies by implied interest rate (highest to lowest) relative to INR.
Solution: (a) USD: annualised = ((83.45−83.00)/83.00) × 4 = 2.17% premium. EUR: annualised = ((90.25−90.00)/90.00) × 4 = 1.11% premium. GBP: annualised = ((104.50−105.00)/105.00) × 4 = −1.90% (discount). (b) Implied interest rates relative to INR: GBP rates > INR rates (GBP at a discount; GBP rates are higher). INR rates > EUR rates (EUR at a premium; EUR rates are lower). INR rates > USD rates. Ranking by implied interest rate (highest to lowest): GBP > INR > EUR > USD.
Independent Practice (Problems 7–10)
Problem 7: Spot USD/INR = 82.50. 1M forward points = +10 paise. 3M forward points = +35 paise. 12M forward points = +160 paise. Compute the annualised premium for each tenor. Does the term structure suggest the INR-USD spread is widening or narrowing over longer horizons?
Problem 8: An exporter will receive EUR 2M in 3 months. Spot EUR/INR = 89.50. 3M EUR/INR forward = 89.80. The exporter's bank offers a "forward-plus" product: lock in 90% of the exposure at the forward rate, leave 10% unhedged. (a) Compute the INR proceeds if fully hedged. (b) If the spot in 3 months is 91.00, what are the total INR proceeds under the 90/10 strategy vs. full hedge vs. zero hedge?
Problem 9: The 3-month INR T-bill rate is 6.80% p.a. The 3-month USD T-bill rate is 5.30% p.a. Spot = 83.00. (a) Compute the CIRP-implied 3-month forward rate (use period rates: i_INR = 1.70%, i_USD = 1.325% for 3 months). (b) If the market 3M forward is 83.35, does CIRP hold? If not, which currency should you borrow and which should you invest to arbitrage?
Problem 10 (Challenge): Spot USD/INR = 83.00. 6M forward = 83.75. You expect the rupee to depreciate to 86.00 in 6 months — well beyond the forward-implied depreciation. Your firm has a policy of hedging 100% of known exposures, but you believe this policy is destroying value. Quantify the "cost" of hedging (vs. remaining unhedged) if your forecast is correct, for a USD 5M payable. Then, quantify the "cost" of NOT hedging if the rupee instead appreciates to 81.00. What does this asymmetry tell you about the purpose of hedging?
Your firm — an Indian pharmaceutical company — must pay USD 10 million in 6 months for imported active pharmaceutical ingredients. Spot USD/INR = 83.00. 6M forward = 83.80 (forward points = +80 paise). The 6-month annualised forward premium on USD is approximately 1.93%.
Your bank's research desk forecasts the rupee at 84.50 in 6 months (a depreciation of 1.8% from spot). The forward-implied depreciation (from the premium) is also ~1.9%. Your own analysis, based on India's 6% expected inflation vs. US 2.5% (PPP), suggests the rupee should be at ~84.45 — consistent with the forward and the bank forecast.
The CFO says: "If everyone — the forward market, the bank, and PPP — agrees the rupee will be ~84.50, then hedging at 83.80 is a bargain. The forward rate is cheaper than the expected future spot rate. We should hedge 100%."
Do you agree with the CFO? Specifically: (a) If the forward rate (83.80) is below the expected future spot rate (84.50), does that mean the forward rate is "cheap" — a bargain? (b) What is the expected INR cost with hedging vs. without hedging, and what is the risk around that expectation? (c) Under what scenario — what actual spot rate in 6 months — would the CFO regret hedging? (d) Is the CFO confusing expected value with certainty? What is the value of certainty to a firm with thin operating margins?
The expected future spot rate is the mean of a probability distribution. The actual future spot rate will be a single draw from that distribution — which could be 80.00 (rupee appreciation) or 90.00 (sharp depreciation). The forward rate gives certainty; the unhedged position gives the distribution. For (d): "Hedging is not about beating the market's forecast. It is about eliminating the risk that the market's forecast is wrong."
6. Scenario Debate: Forward Rate Strategies for Indian Firms
SysTech receives USD 8M quarterly from US clients. The firm currently hedges 60% of next-quarter receivables using 3-month forward contracts, leaving 40% unhedged. The 3M forward premium on USD is consistently 1.8–2.2% annualised. Over the past 5 years, the actual rupee depreciation has averaged 3.5% annually — well above the forward-implied depreciation. The CEO argues: "Hedging has cost us money. The rupee has consistently depreciated more than the forward rate implied. We should stop hedging entirely."
(a) Quantify: if SysTech receives USD 8M/quarter and the forward rate implies 2% annual depreciation but the actual is 3.5%, how much INR per year has SysTech "lost" by hedging 60% (vs. leaving 100% unhedged)? (b) Is the CEO confusing strategy with outcome? Construct the argument for why hedging was the right decision ex-ante even if it was costly ex-post. (c) Propose a middle ground: what hedging ratio and what instruments (forwards, options, or a combination) would satisfy both the CEO's performance concerns and the treasurer's risk-management mandate?
Bharat Alloys imports USD 15M of coking coal quarterly. The firm hedges using a layered strategy: 50% via 3M forwards, 30% via 6M forwards, 20% unhedged. The spot is 83.00. 3M forward = 83.40. 6M forward = 83.85. The CFO is reviewing the strategy: the forward premium on the USD (1.9–2.0% annualised) adds INR 60–65 lakh per quarter to the coal import cost compared to transacting at spot. Several board members want to switch to 100% unhedged, citing the same backward-looking argument as SysTech: "The rupee has always depreciated; hedging just locks in the depreciation in advance."
(a) What is fundamentally different about Bharat Alloys' position vs. SysTech's? (SysTech receives USD — it is naturally long USD. Bharat Alloys pays USD — it is naturally short USD.) How does this difference affect the hedging argument? (b) Compute: if Bharat Alloys hedges 80% (the current strategy) and the rupee depreciates to 90 in 3 months (a tail event), how much does the 20% unhedged portion cost vs. the full hedge? (c) If the rupee appreciates to 79, how does this change the analysis?
Naresh advises corporate clients on FX hedging. A client — an infrastructure EPC firm — has won a USD 120M contract in the Middle East. The project will generate USD 15M in progress payments every 6 months over 4 years. The client wants to hedge the entire USD 120M exposure using a single 4-year forward contract. The 4Y USD/INR forward points are +600 paise (spot 83.00 → 4Y forward 89.00). The client is also considering a cross-currency swap (CCS) — exchanging floating USD receipts for fixed INR payments over the 4-year period. Naresh must recommend a hedging structure.
(a) What are the risks of hedging the entire 4-year USD 120M exposure with a single forward contract? Consider: counterparty credit risk on the bank, the opportunity cost if USD/INR in year 3 is 95 (the forward locks in 89), and the liquidity risk if the project is delayed and USD receipts are postponed. (b) Compare the forward strategy to a layered strategy: hedge 40% for years 1–2, 30% for years 2–3, 20% for years 3–4. (c) What is a cross-currency swap, and how does it differ from a series of forward contracts for this long-dated, multi-payment exposure?
Sterling Agro exports soyameal and spices, receiving payments in USD, EUR, and occasionally in exotic currencies (Vietnamese dong, Indonesian rupiah, Nigerian naira). The firm's primary bank quotes forward rates for USD and EUR at competitive spreads, but for VND, IDR, and NGN, forward markets are either non-existent or quoted with prohibitive spreads (5–10%+ annualised). Sterling's treasury currently hedges USD/EUR exposures using forwards but leaves exotic exposures unhedged — treating the currency risk as a cost of doing business in those markets. The board has asked Smita to explore alternatives: (a) invoice exotic-market buyers in USD (shifting the currency risk to the buyer), (b) use NDFs (Non-Deliverable Forwards) where available, or (c) accept the risk and build an expected-loss reserve.
(a) For each exotic currency, determine whether a deliverable forward market exists, and if so, at what cost (approximate annualised forward points). (b) If Sterling invoices in USD, it loses the 3–5% price premium it currently charges for accepting local-currency risk — compare this to the forward cost. (c) For NGN (Nigeria), where the official NGN/USD rate and the parallel market rate diverge by 30%+, what specific risks does an unhedged NGN receivable create, and how should Sterling's treasury account for them?
Activity Structure
Four groups, 10 min analysis, 3-min presentations. Synthesis: "Forward rates are simultaneously the simplest and most misunderstood instruments in FX. They are not forecasts. They are not 'cheap' or 'expensive' relative to expected future spot rates — they are arbitrage-derived prices that embed the interest rate differential. The financial manager uses forwards not to beat the market but to eliminate uncertainty on cash flows the firm cannot afford to gamble."
7. Fishbowl Debate: Should Corporate Hedging Policy Be Rules-Based or Discretionary?
Debate Proposition
"This House believes that corporate FX hedging should follow a strict, rules-based policy — hedge a fixed percentage (e.g., 70%) of forecast exposures over a fixed horizon (e.g., 12 months) using plain vanilla forwards — and that allowing treasurers discretion to vary the hedge ratio based on their market views destroys more value than it creates."
Position A: Rules-Based Hedging
- Treasurers cannot forecast exchange rates: The Meese-Rogoff evidence (Week 6) and the forward premium puzzle (Week 7) demonstrate that even the best models cannot consistently beat a random walk at short horizons. Giving treasurers discretion to vary hedge ratios is giving them a license to speculate — and the firm's shareholders did not invest in the firm to take FX bets.
- Rules eliminate behavioural biases: Discretionary hedging is vulnerable to overconfidence ("I think the rupee will depreciate more than the forward implies"), regret aversion (after a loss, the treasurer hedges more — after a gain, less), and herding. A rules-based policy eliminates these biases.
- Simplicity reduces cost and operational risk: A simple 70% hedge ratio on a 12-month rolling basis is transparent to the board, easy to implement, and easy to audit. Complex discretionary strategies increase transaction costs (frequent trading), operational risk (more trades = more errors), and the risk of rogue trading.
Position B: Discretionary Hedging
- A rigid rule ignores the information in forward points: The forward premium/discount is not constant — it varies with the interest rate cycle. A rule that ignores whether the forward premium is 1% or 5% is leaving value on the table. When the forward premium is unusually high (implying a large interest differential), the cost of hedging is high — the treasurer should have discretion to reduce the hedge ratio.
- Firms have asymmetric information about their own exposures: A rules-based policy cannot incorporate firm-specific information — a large one-off transaction, a change in the competitive landscape, a pending acquisition that will change the firm's currency profile. The treasurer needs discretion to respond to these events.
- Discretion within bounds is not speculation: A policy that allows the treasurer to vary the hedge ratio between 50% and 90% based on a documented, committee-reviewed assessment of forward points, volatility, and the firm's specific risk tolerance is neither speculation nor a license for rogue trading — it is prudent financial management with appropriate governance.
Synthesis
"The optimal hedging policy is probably: rules-based in normal times, with a clearly defined process for discretionary override under specified, pre-agreed conditions — reviewed by a risk committee, not left to a single individual. The forward rate is the price of certainty. Whether your firm values certainty at that price depends on its risk tolerance, its capital structure, and the volatility of its operating margins — not on anyone's forecast of where the exchange rate is going."
8. Key Concepts & Terminology — Week 10
Spot Rate
The exchange rate for immediate delivery — settlement typically T+2 business days for most pairs. The benchmark price from which all other FX rates (forwards, swaps, options) are derived.
Forward Rate (Outright)
The exchange rate agreed today for the exchange of currencies at a specified future date (value date). Determined by the spot rate and the interest rate differential between the two currencies via CIRP. Not a forecast — an arbitrage-derived price.
Forward (Swap) Points
The difference between the forward rate and the spot rate, quoted in pips (or paise for INR). Forward points = Forward − Spot. Positive points: foreign currency at a forward premium. Negative points: foreign currency at a forward discount. The primary quotation convention in the interbank market.
Forward Premium
When the forward rate exceeds the spot rate (F > S) — the foreign currency is more expensive forward than spot. Occurs when the foreign interest rate is lower than the domestic rate (CIRP). Computed as (F−S)/S × 100. The currency with the lower interest rate always trades at a forward premium.
Forward Discount
When the forward rate is below the spot rate (F < S) — the foreign currency is cheaper forward than spot. Occurs when the foreign interest rate exceeds the domestic rate. The currency with the higher interest rate always trades at a forward discount.
Annualised Forward Premium/Discount
The forward premium or discount expressed on a per-annum basis, using the formula [(F−S)/S] × (12/n) × 100. Essential for comparing premiums across different maturities. Under CIRP, the annualised premium approximately equals the annual interest rate differential.
Value Date (Settlement Date)
The date on which the exchange of currencies is actually completed — the funds are transferred between bank accounts. Spot value date = T+2. Forward value date = spot value date + forward tenor. Weekends and holidays adjust the value date.
Broken Date / Odd Date
A forward contract maturing on a non-standard date (e.g., 47 days rather than exactly 1 or 2 months). Priced by interpolating between the two nearest standard-tenor forward points.
Term Structure of Forward Points
The variation in forward points — and therefore the annualised forward premium — across different maturities. Reflects the term structure of the interest rate differential between the two currencies. Can be upward-sloping, flat, or inverted depending on expected future rate paths.
Forward Contract
A binding, bilateral agreement to exchange specified amounts of two currencies at a specified forward rate on a specified future date. No money changes hands at inception (beyond possible margin). At maturity, the full principal is exchanged regardless of the prevailing spot rate. The primary hedging instrument for corporate FX risk.
Cross-Currency Swap (CCS)
An agreement to exchange principal and interest payments in one currency for principal and interest payments in another currency over an extended period. Unlike a forward (single exchange at maturity), a CCS involves multiple exchanges — initial exchange of principal, periodic interest payments, and final re-exchange of principal. Used for long-dated hedging (3–10+ years).
Exit Ticket — Week 10
Complete each section. Estimated time: 7 minutes.
Describe the most important concept from this session — forward quotation, premium/discount calculation, annualisation, or hedging application.
Identify one concept that remains unclear. If you struggle with forward points vs. outright rates, or with the relationship between forward premiums and interest rates, articulate what confuses you.
Spot USD/INR = 83.20. 6-month forward points = +75 paise. (a) Compute the outright 6M forward rate. (b) Compute the forward premium on the USD. (c) Annualise the premium. (d) What approximate INR-USD interest rate differential does this premium imply?
As a future finance professional, you will encounter forward rates whenever your firm imports, exports, borrows abroad, or invests across borders. In 3–4 sentences, explain what the forward rate is (an arbitrage price, not a forecast) and how you would use it — and not misuse it — in corporate financial management.
9. Session References
- Eun, C., Resnick, B., & Chuluun, T. — International Financial Management, McGraw Hill. Chapter 5: Sections on forward rates, forward premium, and CIRP.
- Apte, P. G., & Kapshe, S. — International Financial Management, McGraw Hill. Chapter 7: Sections on forward exchange and swap markets.
- RBI — Master Circular on Risk Management and Inter-Bank Dealings (forward contract regulations).