Level III Core · Capital Market Expectations, Part 1: Framework and Macro Considerations
Exchange Rate Forecasting and International Linkages
Updated 8 October 2026 · Fact-checked
Exchange rate forecasting uses parity relationships (PPP, covered and uncovered interest rate parity), capital flows, and economic fundamentals to judge where currencies may move. For the exam, state which relationship you use, compute the expected change, then link it to expected returns on foreign assets in the investor's base currency.
Understand Exchange Rates and International Linkages
An exchange rate is the price of one currency in terms of another. Quote convention matters. In a price/base quote, one unit of the base currency is priced in the price currency. In a USD/EUR quote of 1.2000, the price currency is USD and the base is EUR, so 1 EUR costs 1.2000 USD. In this guide, a quote of P/B means P units of the price currency per 1 unit of the base currency. If the base currency rises in value, the quote rises.
Two kinds of forecasting logic matter. The first is parity relationships, which link currency moves to inflation and interest rate differences. Absolute PPP says the price of the same basket is equal across countries once converted. Relative PPP says the currency with higher inflation depreciates by about the inflation difference. PPP works poorly over short horizons but tends to pull rates toward fair value over long horizons, so it is more useful for long-term views.
The second is capital flows and fundamentals. Currencies respond to investment flows, not only trade flows. Higher expected returns, strong growth, credible policy, and a stable outlook attract capital and support the currency. Large current account deficits financed by short-term flows make a currency vulnerable. Under the Mundell-Fleming view, with high capital mobility, tight monetary policy combined with loose fiscal policy tends to attract capital and strengthen the currency. The portfolio balance approach says that persistent deficits raise the supply of government debt. Investors require a higher risk premium to hold more of that debt, which weakens the currency.
Interest rate parity has two forms. Covered interest rate parity is a no-arbitrage condition: the forward rate reflects the interest rate difference. It holds closely in normal conditions, though deviations (the cross-currency basis) can appear in stressed markets. The forward rate is not a forecast of the future spot rate. Uncovered interest rate parity says the expected currency move offsets the interest rate difference. It often fails. High-yield currencies have often not depreciated as much as UIP predicts. That is the carry trade: borrow low-yield, invest high-yield. The trade profits as long as the high-yield currency depreciates by less than the interest rate differential. Carry trades earn steady small gains with occasional sharp losses.
For emerging markets, add specific risks. These include weak or less transparent institutions, dependence on commodity exports or foreign capital, high inflation, large external debt in foreign currency, thin markets, and sudden stops in capital inflows. Currency crises often follow a loss of confidence, a fall in reserves, or a rapid rise in short-term external debt. Check the exchange rate regime too, such as floating, managed or pegged, since it changes how a shock shows up.
Key rules to remember
- Absolute PPP
- S(P/B) = CPI(P) ÷ CPI(B)
- Price levels equal across countries when converted. Holds loosely, and mainly as a long-term anchor.
- Relative PPP (approximate)
- %ΔS(P/B) ≈ π(P) − π(B)
- The currency of the higher-inflation country depreciates. If the price currency has higher inflation, the P/B quote rises.
- Relative PPP (exact)
- S(t+1) = S(t) × (1 + π(P)) ÷ (1 + π(B))
- Use the exact form when numbers are large or the question asks for precision.
- Covered interest rate parity
- F(P/B) = S(P/B) × (1 + i(P) × T) ÷ (1 + i(B) × T)
- No-arbitrage forward rate. Use matching-maturity interest rates and T in years (or compounded form for longer terms).
- Uncovered interest rate parity
- E[%ΔS(P/B)] ≈ i(P) − i(B)
- Expected spot change equals the rate difference. Often fails empirically, so the carry trade has earned a premium.
- Real exchange rate
- Real S(P/B) = S(P/B) × CPI(B) ÷ CPI(P)
- Measures competitiveness. Deviations from a long-run level suggest mean reversion.
- Foreign asset return in base currency
- R(domestic) = (1 + R(foreign local)) × (1 + %Δ value of foreign currency) − 1
- %Δ is the change in the domestic-currency value of one unit of foreign currency.
How to solve Exchange Rates and International Linkages questions
Use this method for any question on exchange rates, flows and international linkages.
- 1Fix the quote convention. Write the rate as price currency per base currency and identify what a rise means.
- 2Identify the horizon. PPP and real exchange rate arguments suit long horizons. Flows, policy and carry suit shorter horizons.
- 3Choose the relationship the question points to: PPP, covered IRP, UIP, or a fundamentals and flows argument.
- 4Plug in the numbers using matching units and periods, and say which currency is expected to appreciate or depreciate.
- 5Translate to portfolio terms: convert the foreign local return into the investor's base currency return.
- 6Check risks and caveats such as capital flow reversals, regime, and carry trade crash risk, especially for emerging markets.
- 7Answer the command word. If asked to calculate, show the number. If asked to justify, give one clear reason per point.
Quickest way: Quick direction check
When to use it: Use when you need the direction of a currency view fast, or when an item set asks which currency should appreciate.
- Compare inflation: higher inflation points to depreciation (relative PPP).
- Compare expected real returns and policy credibility: higher and more credible attracts inflows and supports the currency.
- Check the current account and how it is financed: large deficits funded by short-term flows signal vulnerability.
- Check for valuation extremes against real exchange rate or PPP: large deviations suggest eventual reversal over the long term.
- Eliminate options that treat the forward rate as a forecast or assume UIP always holds.
Common mistakes in Exchange Rates and International Linkages
Treating the forward rate as a forecast of the future spot rate.
Covered interest rate parity gives a forward price, and students confuse it with an expectation.
Fix: Remember the forward rate is set by interest differentials through arbitrage. It is only an unbiased forecast if UIP holds, which is often not true. Covered parity itself holds closely in normal conditions, though the cross-currency basis can open deviations in stressed markets.
Using the wrong direction because of the quote convention.
Students read P/B as B/P under time pressure.
Fix: Write the quote with units, for example 'P per 1 B', and state what a rise means before computing.
Assuming PPP works over short horizons.
The formula is simple and looks exact.
Fix: Say PPP is a long-run anchor. In the short term, flows, policy and sentiment dominate.
Assuming the high-interest-rate currency must depreciate by the rate gap.
Students apply UIP as a law.
Fix: UIP often fails, which is why carry trades have earned returns. Mention crash risk when the trade unwinds.
Ignoring currency in foreign asset returns.
Students quote the local-currency return and stop.
Fix: Always compound the local return with the currency move to get the base-currency return, then comment on currency risk.
Adding returns instead of compounding them.
Approximation habits from quick reasoning.
Fix: Use (1 + R local) × (1 + %ΔFX) − 1 when the question gives enough data or asks for an exact answer.
Worked examples
Example 1
The spot rate is 1.2000 USD/EUR (USD per 1 EUR). Expected annual inflation is 4.0% in the US and 2.0% in the Eurozone. Using relative PPP, calculate the expected spot rate in one year and state which currency is expected to depreciate.
Show the solution
- The quote is USD per EUR, so the price currency is USD and the base is EUR.
- Use the exact form: S1 = S0 × (1 + π USD) ÷ (1 + π EUR).
- S1 = 1.2000 × 1.04 ÷ 1.02.
- 1.04 ÷ 1.02 = 1.019608.
- S1 = 1.2000 × 1.019608 = 1.2235.
Answer: Expected spot rate is about 1.2235 USD/EUR. The USD has higher inflation, so it is expected to depreciate against the EUR.
Example 2
A euro-based investor buys a Japanese equity fund that returns 8.0% in yen over one year. Over the year the yen depreciates 5.0% against the euro. Calculate the investor's return in euros and explain what drives the difference from 8.0%.
Show the solution
- The value of one yen in euros falls 5.0%, so the currency factor is 1 − 0.05 = 0.95.
- The local return factor is 1 + 0.08 = 1.08.
- Combine: 1.08 × 0.95 = 1.026.
- Euro return = 1.026 − 1 = 2.6%.
- The approximation 8% − 5% = 3% is close but not exact because returns compound.
Answer: The euro return is 2.6%. Yen depreciation reduced the return from 8.0% because the investor's gains in yen convert into fewer euros.
Exam tips
- Show the formula, the substituted numbers and the final number. A correct number alone earns full credit on calculations, but clear steps protect you if the number is wrong.
- For a 'justify' or 'explain' command word, give a specific reason tied to the case facts, such as the inflation gap, flow direction or policy mix. Do not write generic statements.
- On item sets, watch the quote convention in the vignette and write it down before you calculate.
- For emerging markets, name specific risks from the case: reliance on foreign capital, short-term external debt, low reserves, or weak institutions.
- When a question asks for a forecast, state the horizon. Link PPP to long horizons and carry or flows to short ones.
Exchange Rates and International Linkages in other exams
The same ground in other exams, if you are preparing for more than one or want another angle on it.
Exchange Rates and International Linkages: frequently asked questions
Does PPP hold in practice?
Not closely in the short term. Prices of non-traded goods, trade barriers and capital flows keep currencies away from PPP values. Over many years, currencies tend to move toward them, so PPP is used as a long-term anchor.
What is the difference between covered and uncovered interest rate parity?
Covered parity uses a forward contract to lock the exchange rate, so it is a no-arbitrage condition. It holds closely in normal conditions, though the cross-currency basis can cause deviations in stressed markets. Uncovered parity relies on the expected future spot rate with no hedge and often fails in the data.
Why does the carry trade matter for CFA Level III?
It shows that UIP is not reliable: high-yield currencies have often earned a premium over time. It also shows the risk: sudden unwinds can cause large losses. Expect to discuss both sides.
How do capital flows affect exchange rates?
Inflows into a country's assets increase demand for its currency and tend to strengthen it. Outflows or sudden stops weaken it. Expected returns, growth, policy credibility and risk appetite drive these flows.
What emerging market risks should I mention?
Mention weak institutions, dependence on foreign capital or commodities, high inflation, external debt in foreign currency, low reserves, thin markets and sudden stops in capital flows. Tie each point to the facts in the case.