Read an FX quote before hedging

Learning goals

• Calculate the one-year parity forward quote.
• Explain why domestic 5% for this quote applies to this case.
• Identify the case-specific assumption or failure mode before taking action.

Draft · approximately 80 minutes, excluding further revision.

Shared case and decision context

Spot is 1.20 domestic currency per foreign unit. One-year domestic and foreign risk-free rates are 5% and 2%, annually compounded. Borrowing and lending are frictionless for this classroom example. A trader calls the forward premium a guaranteed forecast of spot appreciation.

Economic or professional mechanism

Covered interest parity equates hedged borrowing-and-lending strategies in the same currency. With a domestic-per-foreign quote the domestic rate belongs in the numerator. This is an arbitrage relation under stated assumptions, not uncovered interest parity or a forecast guarantee. Real funding spreads, collateral and cross-currency basis can alter implementable pricing.

Apply, challenge and communicate

The parity forward is approximately 1.235294. A foreign-currency receivable exposes the domestic investor to foreign depreciation; selling that foreign amount forward can lock a domestic amount, subject to counterparty and settlement risk. Long-run purchasing-power arguments do not ensure short-run spot convergence.

Pay the offer and receive the bid

For a domestic-per-foreign bid1.20/offer1.21, a customer buying foreign currency pays1.21 domestic per unit, while selling foreign receives1.20. Absolute spread is.01; percentage spread requires a stated denominator, often the midpoint or offer under the selected convention. Liquidity, volatility, trade size, currency and dealer inventory affect spreads. Never choose the more favorable side for both legs of a proposed arbitrage.

Execute every triangular leg at a tradable quote

Triangular arbitrage tests whether a round trip through three currencies returns more than the starting amount after using the proper bid or offer on each conversion. Cross rates must keep units consistent and invert quotes carefully: inversion swaps bid and offer. A midpoint discrepancy can disappear once spreads, settlement timing, credit and fees are included. Write the currency units at every leg before multiplying the quotes.

Mark an existing currency forward

For a domestic investor long one foreign unit forward with old delivery K, domestic value can be written S/(1+r_foreign)^tau−K/(1+r_domestic)^tau in a simple single-curve convention. This differs from the new forward delivery price. If future spot or rates change, an old zero-value contract can acquire a gain or loss. Keep currencies, remaining maturity and discounting conventions consistent and incorporate collateral or basis terms where relevant.

Distinguish covered parity from expectation relations

Covered interest parity is a hedged arbitrage benchmark. Uncovered interest parity relates expected exchange-rate changes to interest differentials without a forward hedge. Relative purchasing-power parity relates exchange-rate change to inflation differentials; the international Fisher relation combines real-rate and inflation assumptions. These conditions need not hold equally well at short horizons. Combining conditions requires matching definitions and assumptions rather than treating every parity statement as the same law.

Estimate equilibrium currency value as a range

Long-run currency assessment can use purchasing-power comparisons, external-balance sustainability and productivity or fundamental equilibrium models. Nontradable prices, transport costs, capital flows and model uncertainty limit precision. A currency appearing cheap under PPP can remain cheap for years and expose an investor to substantial interim losses. Compare multiple approaches with explicit inflation baskets and time horizons instead of declaring one fair-value point certain.

Account for the exchange loss in a carry trade

A carry trade borrows a low-yield currency and invests in a high-yield currency without fully hedging the exchange exposure. Positive interest carry can be overwhelmed by depreciation of the investment currency. In a simple example borrow100 domestic at2%, convert and invest abroad, then compare the final domestic proceeds with102 owed. A forward hedge can remove spot uncertainty but ordinarily embeds the interest differential under covered parity, so the free carry is not preserved.

Read the balance of payments as linked accounts

Current-account transactions and financial flows are linked through the balance-of-payments accounting identity, with reserves and statistical discrepancies treated under the relevant convention. A current-account deficit requires offsetting financing, but its exchange-rate effect depends on expected sustainability, asset demand and policy. Strong foreign investment can support a currency despite a trade deficit. Do not equate an accounting identity with a one-direction causal forecast.

Trace monetary and fiscal policy through several channels

Tighter monetary policy can support a currency through higher expected interest returns, yet weak growth, credibility concerns or changing risk appetite can offset that channel. Fiscal expansion can affect demand, bond supply, interest rates and expected external balances. Results depend on exchange-rate regime, capital mobility, spare capacity and policy credibility. State those conditions before claiming a policy always appreciates or depreciates the currency.

Distinguish intervention mechanics and credibility

Foreign-exchange intervention buys or sells currencies using official resources. Sterilized intervention offsets its domestic monetary-base effect; unsterilized intervention does not. Effectiveness can depend on signaling, portfolio balance, market liquidity and policy consistency. Capital controls alter permitted flows and can impose costs, evasion and segmentation. A central bank’s reserve stock is finite; an announced target is not a permanent guarantee.

Recognize multiple currency-crisis warning signs

Potential warnings include weak reserve coverage, large short-term foreign debt, persistent external imbalances, rapid credit expansion, asset-price booms and a difficult-to-defend currency regime. No single ratio predicts a crisis date. Examine debt maturity, currency mismatch, banking-system resilience and credible access to funding. A country can appear solvent in long-run asset terms yet face a near-term foreign-currency liquidity shortage.

Formula and assumptions

F=S*(1+r_dom)/(1+r_for)

Case analysis with explicit assumptions

1. Spot is 1.20 domestic currency per foreign unit. One-year domestic and foreign risk-free rates are 5% and 2%, annually compounded. Borrowing and lending are frictionless for this classroom example. A trader calls the forward premium a guaranteed forecast of spot appreciation.
2. Method: F=S*(1+r_dom)/(1+r_for)
3. Case result: 1.235294 domestic/foreign. The parity forward is approximately 1.235294. A foreign-currency receivable exposes the domestic investor to foreign depreciation; selling that foreign amount forward can lock a domestic amount, subject to counterparty and settlement risk. Long-run purchasing-power arguments do not ensure short-run spot convergence.

Errors to catch

• Do not replace the stated assumptions with an unstated shortcut. Reconcile units, timing and the claim being valued or duty being assessed.
• A certain future spot price is not a defensible conclusion for these case facts.

Original knowledge check

Answer every question before checking. Review explanations after submitting; retry starts a new attempt.

Sources and coverage status

These original lessons are drafts. Public outlines are used to check scope; the official learning-outcome text and proprietary question banks are not reproduced here. Follow the source for exam-year requirements and updates.

• Reference · www.cfainstitute.org
• Reference · www.cmegroup.com