Connect capital flows with a currency-market graph

Connect capital flows with a currency-market graph

Question and record

How can higher demand for domestic assets change the exchange rate?

In a fictional market for domestic currency, the vertical axis is foreign units per domestic unit, e. Demand Qd=100−20e and supply Qs=20+20e. A shift in foreign demand for domestic assets raises demand to Qd=120−20e; all other influences are fixed.

The quantities and graphs are teaching assumptions, not observed policy outcomes.

Mechanism and worked calculation

Foreign demand for domestic goods or assets can increase demand for domestic currency in this stylized market. A rise in foreign currency per domestic unit is an appreciation. Financial-account recording separates acquisition of foreign assets and incurrence of liabilities; signs must follow a declared convention. Exchange rates also depend on expectations, risk and institutions.

Initially 100−20e=20+20e gives e=2 and Q=60. After the demand increase e=2.5 and Q=70. One domestic unit buys 25% more foreign currency. A domestic-priced export of 10 now costs foreign buyers 25 instead of 20, before any quantity response.

Challenge the interpretation

Expected future exchange movements and asset risk could offset an interest advantage. A goods importer and an asset buyer create different international-account entries. The exercise treats flows as a comparative-static shift, not a forecast of an actual currency.

Your evidence task

Plot both demand curves and the supply curve using foreign-per-domestic units. Trace an asset purchase and a goods purchase in a clearly signed external ledger.

Revise your answer to “How can higher demand for domestic assets change the exchange rate?” using both source IDs. Separate the checked calculation from a judgment, and identify evidence that could reverse your judgment.

Vocabulary

Capital flow: Cross-border acquisition or disposal of financial assets and liabilities; it is distinct from a goods shipment.

Assumption: A condition accepted for a model or argument; it needs justification before applying the result elsewhere.

Independent extension

Independently extend the investigation “Connect capital flows with a currency-market graph” with a documented real dataset or scholarly source. Preserve definitions, recreate one calculation or evidence table, compare a rival explanation and report why the teaching example cannot establish the real-world conclusion.

Change a curve, then inspect a quote

Inspect a quote before assuming the market clears

Fictional market for domestic currency. The quote e is foreign units per domestic unit; quantities are domestic currency units per period. Demand Qd=100+d−20e and supply Qs=20+s+20e. The shifts d and s are supplied scenario changes, not estimated policy effects.

Currency demand shift-20 domestic units at every quote0 domestic units at every quote20 domestic units at every quote Currency supply shift-20 domestic units at every quote0 domestic units at every quote20 domestic units at every quote Quote to inspect1 foreign per domestic1.5 foreign per domestic2 foreign per domestic2.5 foreign per domestic3 foreign per domestic

Predict the gap before reading feedback. The quote control moves along the selected curves. The shift controls change a curve. A higher e means domestic appreciation. This model does not simulate bids, transaction allocation or an adjustment speed.

Solid line: demand. Dashed line: supply. Circle: market-clearing intersection. Squares: quantities at the inspected quote, joined by a dotted gap. At equilibrium the markers overlap. Axes stay fixed across scenarios.

Clearing quote 2.00, quantity 60.00. At quote 2.00: demanded 60.00, supplied 60.00; balanced 0.00 domestic units.

The inspected quote clears the supplied schedules.

If an authority supports this quote

No intervention is required by this particular flow imbalance. This assumes full offset at the quoted price, no private response to intervention and no other flows. No reserve stock, sterilization or sustainable duration is supplied. A supported quote does not make the private schedules intersect.

Selected schedules: quantity in domestic units per period

Quote e	Demanded	Supplied
0.00	100.00	20.00
0.50	90.00	30.00
1.00	80.00	40.00
1.50	70.00	50.00
2.00	60.00	60.00
2.50	50.00	70.00
3.00	40.00	80.00
3.50	30.00	90.00
4.00	20.00	100.00

Restore currency market

Controls are temporary. Retain a labeled graph, the gap calculation and a conditional intervention explanation in your notebook.

Explain the participants before moving the curves

A foreign buyer who needs domestic currency to purchase a domestic service contributes to demand for domestic currency. A resident exchanging domestic currency to acquire foreign goods or assets contributes to its supply. These descriptions assume the purchases require conversion; invoice currency, intermediaries and existing balances can complicate actual transactions.

Start at the default schedules. Inspect quotes 1 and 3. Calculate both quantities and predict the adjustment direction before reading the status. Then hold the inspected quote at 2 and separately raise demand by 20 and supply by 20. Explain the participant behavior that could produce each shift.

Check shortages and single shifts

At e=1, Qd=80 and Qs=40: shortage 40. At e=3, Qd=40 and Qs=80: surplus 40. Under flexible-price adjustment, the first creates upward pressure and the second downward pressure on the foreign-per-domestic quote. Neither calculation tells us exactly which trades occur away from equilibrium.

Demand +20 alone moves the intersection from (quantity 60, quote 2) to (70, 2.5). Supply +20 alone moves it to (70, 1.5). Increased foreign demand for domestic services could support the first assumption; increased resident purchases of foreign assets could support the second. More willingness to sell domestic currency is not greater demand for that same currency. The story must specify the currency market and the other conditions held fixed.

Two shifts can hide behind an unchanged rate

Set both shifts to +20. Compare with the baseline. Now set demand +20 and supply −20. Draw both results on fixed axes and explain why an unchanged quote alone does not prove unchanged international activity.

Check simultaneous currency shifts

With both +20, equilibrium quantity rises from 60 to 80 while the quote stays 2. With demand +20 and supply −20, the quote rises to 3 while equilibrium quantity stays 60. Different shift magnitudes would change the results. A quote by itself does not identify which buyers or sellers changed behavior; transaction quantities and independent evidence about the drivers matter.

A supported quote uses a balance sheet

At the baseline curves, suppose an authority holds e=3. Work out its domestic-currency purchase and foreign-reserve sale per period. If it starts with 240 usable foreign reserve units, how long could that unchanged flow be financed? Assume no borrowing, interest, new reserves or private behavioral response. Contrast the intervention at e=1.

Check intervention and its limit

At e=3 the private surplus is 40 domestic units. Buying all forty costs 120 foreign units per period. A stock of 240 finances exactly two complete periods under these fixed assumptions, with none left afterward. This is stock divided by flow, not a forecast of a currency crisis. At e=1 the shortage is forty domestic units: selling forty domestic units acquires forty foreign units per period. Creating domestic liabilities or changing domestic liquidity can have consequences excluded here. Neither operation establishes that a peg is sustainable once private expectations, policy or other flows respond.

Transfer to new slopes

An unfamiliar currency market has demand Qd=90−10e and supply Qs=10+10e. Find its clearing rate and quantity. At the inspected quote e=3 calculate the gap. A memo imports the first widget’s answer of 2; explain the mistake and draw the new curves yourself.

Check the unfamiliar market

Setting 90−10e=10+10e gives e=4 and quantity 50. At e=3 demand is 60 and supply 40: shortage twenty domestic units. The new schedules have different slopes and intercepts; the old intersection is not transferable as a numerical answer. If an authority filled this shortage at three foreign per domestic, it would sell twenty domestic units and acquire sixty foreign units. This is a separate case outside the widget’s quote choices, not a reason to force its answer into those presets.

Save your own diagrams and participant explanations before opening feedback. AP practice requires labeled currency and quantity units plus a movement-versus-shift argument. College extension should compare dated exchange-rate and transaction evidence, identify the regime and assess a rival driver. These conditional linear schedules are teaching models, not estimated exchange-rate forecasts or independent assessment.

Connect markets without skipping the assumptions

Compare investment payoffs in one currency

A separate one-year fictional comparison starts with 100 domestic credits and e=2 foreign units per domestic credit. A domestic asset promises 6%; a foreign asset promises 4% in foreign currency. Assume certain contractual payments, no fees, no taxes and unchanged price levels for this exercise. With zero inflation, each asset’s local nominal and real rates coincide. Exchange-rate uncertainty remains. These are arithmetic teaching cases, not investment recommendations.

Calculate the domestic asset’s final domestic payoff. For the foreign asset, convert the starting funds, apply its return, then convert back at each stipulated future quote: 2, 1.9 and 2.1. Before calculating, predict which change helps the domestic investor holding a foreign-currency asset. Explain why comparing 6% with 4% alone cannot rank the payoffs in domestic currency.

Check common-currency returns

The domestic asset pays 106 domestic credits. The foreign asset starts with 200 foreign units and pays 208. At a future quote of 2 it converts to 104 domestic credits, a 4% return. At 1.9 it converts to about 109.47, a 9.47% return. At 2.1 it converts to about 99.05, a −0.95% return. Divide by foreign units per domestic credit to convert foreign funds back into domestic credits.

Domestic depreciation helps this unhedged foreign-asset holder; appreciation hurts. The future quotes are scenarios, with no probabilities supplied. They are not known when the investment is chosen. Default risk, liquidity, taxes, hedging costs and expected inflation can also matter in actual comparisons. A higher domestic real rate can attract inflows with other conditions held fixed; it does not guarantee inflows when exchange expectations or risk change.

Show how an inflow can change financing conditions

In another separate real-credit market, domestic saving supplied is S=20+10r and investment demanded is I=100−10r, where r is the annual real interest rate in percentage points. First find the closed-market intersection. Then assume net foreign financing of twenty real credits per period is available at each rate in the plotted range. Add it to supply and solve again. This is a supplied inflow schedule, not an amount derived from the asset returns above.

Check external financing and rate convergence

Initially 20+10r=100−10r gives r=4 and quantity 60. Adding foreign financing gives total supply 40+10r, so r=3 and quantity 70. At the new rate, domestic saving is fifty and foreign financing twenty, together funding investment seventy. Domestic saving does not itself rise to seventy.

The inflow lowers the domestic clearing rate in this model, which can narrow an initial international rate advantage. A complete two-country adjustment would also need the other country’s saving/investment schedules and consistent currency-market behavior. Do not stack a fixed inflow and a separately inferred identical inflow as two funding sources. In the currency lab, a stipulated foreign-asset demand increase is a separate controlled comparison, not a jointly solved international equilibrium.

Separate export prices, import prices and trade quantities

A new fictional trade record fixes the domestic seller’s export price at ten domestic credits per unit and the foreign seller’s import price at twenty foreign units per unit. The table supplies quantities; they are assumptions, not derived from exchange-rate arithmetic. There are no other traded goods or services in this record. The base-period domestic price for each good is ten, used only to compare quantities at common prices.

Scenario	Foreign per domestic quote e	Export quantity	Import quantity
Base	2	10	10
Appreciation with quantity response	2.5	8	12
Depreciation with quantity response	1.6	12	8
Immediate depreciation, quantities fixed by contracts	1.6	10	10

For each row, calculate the foreign buyer’s export price, the domestic buyer’s import price, export receipts minus import spending at current prices, and net exports at the common base prices. Explain why the last two measures differ and why a change in a quote does not by itself determine either quantity.

Check trade values and constant-price quantities

At the base quote, foreign buyers pay twenty per export unit and domestic buyers pay ten per import unit. Current-price net exports and base-price net exports are both zero.

With appreciation, the export’s foreign price is twenty-five and the import’s domestic price eight. Current-price net exports are 8×10−12×8=−16. At the common base prices they are 8×10−12×10=−40. With depreciation and the supplied quantity response, the export’s foreign price is sixteen and the import’s domestic price 12.5. Current-price net exports are 12×10−8×12.5=20; base-price net exports are 12×10−8×10=40.

With immediate depreciation and fixed quantities, current-price net exports are 10×10−10×12.5=−25, while base-price net exports stay zero. A domestic-value trade balance can initially worsen even though a later quantity response could improve it. The table does not prove that the later response will occur. Demand responsiveness, invoicing, contracts, production capacity and other income changes would need evidence. These two-good fixed-base calculations illustrate volume versus value; they are not an official chain-weighted GDP calculation.

Carry a real spending change into an aggregate diagram

For a separate, explicitly calibrated teaching link, let initial AD be P=200−Y and SRAS P=40+Y. P is an index and Y is real output in the same base-price teaching units used for the trade comparison. Potential output is eighty. Assume the appreciation scenario reduces planned real net exports by forty at every price level, and that the horizontal AD shift is exactly forty with other planned spending and SRAS held fixed. Thus new AD is P=160−Y. There is no additional multiplier in this stipulated schedule.

Solve both intersections and draw the two demand curves, unchanged short-run supply and potential-output line. Then use the depreciation quantity-response scenario with an equal positive forty shift instead. Finally explain why the fixed-contract depreciation row alone does not justify that positive forty shift.

Check the trade-to-demand link

Initially Y=80 and P=120. The appreciation scenario gives 160−Y=40+Y, so Y=60 and P=100: an output gap of −20 relative to potential eighty. The depreciation quantity-response scenario uses AD P=240−Y, giving Y=100 and P=140, a gap of +20. These are conditional short-run outcomes, not changes in potential output.

The fixed-contract row has no real net-export quantity change at the supplied base prices, so it does not supply the assumed positive forty real-spending shift. Its nominal spending change alone cannot be substituted into this real-output graph. Broader changes in income, costs, domestic demand or monetary policy could still shift other curves, but would need separate assumptions. A fiscal expansion or monetary easing also has domestic spending and rate channels: drawing an exchange-rate arrow alone does not determine its total AD effect.

Retain the common-currency payoff table, financing reconciliation, trade value/volume table and your aggregate graphs. For college extension, identify which data would test one causal link rather than fitting all curves to the same outcome. Independent assessment should change both the records and the required explanation; these public examples do not establish unseen transfer.

Build and challenge an international policy explanation

Monetary easing: trace every link

Use a new conditional short-run scenario. A central bank lowers a domestic nominal borrowing rate from 4% to 2%; expected domestic inflation stays at 1%. A comparable foreign real rate stays at 2%. Use the teaching approximation real rate = nominal rate − expected inflation. Assume floating exchange rates, unchanged default risk, unchanged expected future currency values, responsive investment spending and responsive trade quantities. These conditions isolate the textbook channel; the policy rate is not automatically the rate paid by every borrower.

Before reading feedback, make a six-box diagram: central-bank action → domestic nominal/real rates → relative asset attractiveness → currency market → net exports → aggregate demand. Add a separate branch from the domestic rate to investment. Label the domestic-currency graph’s vertical axis foreign units per domestic unit. Show two possible representations of the currency pressure: reduced foreign demand for domestic assets, or increased resident demand for foreign assets. Explain why those are different curves in the same domestic-currency market.

Check the monetary policy sequence

The approximated domestic real rate falls from 3% to 1%, moving from above the stipulated foreign 2% rate to below it. With the other return determinants fixed, domestic assets become relatively less attractive. Reduced foreign purchases can shift demand for domestic currency left; increased resident foreign purchases can shift domestic-currency supply right. Either representation puts downward pressure on the foreign-per-domestic quote, a domestic depreciation. Do not count the same observed transaction twice merely because it can be discussed in both currencies’ markets.

Under the supplied trade-response assumptions, depreciation raises net exports; lower domestic borrowing rates also support investment. Both channels shift AD right. With upward-sloping SRAS held fixed, short-run real output and the price level rise relative to the starting intersection. The output response is conditional; no magnitude, potential-output change or permanent growth rate follows from these arrows. The implied change is toward net capital outflow; it may be a smaller existing inflow rather than an actual net outflow.

The central-bank action, borrower-rate pass-through, relative returns, currency trades and spending response are separate links. A correct chain names the assumed evidence for each. An exchange-rate graph alone cannot measure the size of the entire policy effect.

A falling nominal rate need not mean a falling real rate

Change only the expectations record: the nominal rate still falls from 4% to 2%, but expected inflation falls from 1% to −1%. Keep the foreign real rate at 2%. Compute the approximate real rate before and after. Revise the previous diagram by marking which inference is no longer supported by these rate records. Then describe two other reasons a currency might move even if this measured real-rate differential does not change.

Check the expectations counterexample

The approximate real rate is 4−1=3% initially and 2−(−1)=3% afterward. Expected deflation makes the lower nominal payment correspond to a larger purchasing-power burden than the nominal rate alone suggests. Under this approximation, the domestic/foreign real-rate advantage remains one percentage point; the previous claim that it reverses is unsupported.

This does not prove an unchanged exchange rate. Risk, liquidity needs, expected future currency values, foreign policy or trade demand could change. The record also does not say that the central bank caused the expectations change. For deeper precision, the multiplicative real-rate formula gives 1.04/1.01−1≈2.97% and 1.02/0.99−1≈3.03%; the simple subtraction is an explicitly labeled approximation, not exact equality of these gross returns.

Fiscal expansion: separate the initial impulse from offsets

In a separate floating-rate scenario, a government increases purchases without raising current taxes. Assume borrowing finances the increase, potential output and SRAS initially stay fixed, monetary policy does not accommodate it, and real borrowing rates rise. Foreign risk and exchange expectations remain unchanged; trade quantities respond to relative prices.

Draw two branches from the policy: one directly to aggregate demand through government purchases, and another through borrowing rates, private investment, international asset demand, the domestic-currency quote and net exports. Mark each branch as reinforcing or offsetting the initial spending impulse. Do not label the final AD shift until the size of each effect is supplied.

A separate illustrative spending ledger stipulates an increase of twenty in government purchases, a fall of six in investment and a fall of four in real net exports at each price level, with other spending unchanged. Calculate the net horizontal AD shift. Compare a second record where investment falls twelve and real net exports fall nine instead. These are stipulated real-spending changes, not estimates from the currency widget or amounts inferred from the qualitative rate arrows.

Check fiscal channels and competing magnitudes

Government purchases initially support AD. Higher real borrowing rates can reduce private investment and make domestic assets relatively more attractive. Under the specified risk and expectations assumptions, greater foreign demand for domestic currency or reduced resident supply puts upward pressure on the foreign-per-domestic quote: domestic appreciation. With responsive trade quantities, net exports fall. Investment and net-export effects offset part of the original demand impulse.

The first illustrative ledger gives +20−6−4=+10: AD shifts right by ten at each price level. The second gives +20−12−9=−1: the supplied offsets exceed the initial impulse. A qualitative arrow chain cannot choose between those numerical outcomes. Neither ledger is a general fiscal multiplier or a jointly solved world-economy model. Changes in taxes, private saving, foreign financing, monetary policy, productive capacity and income feedback require a more complete system before estimating an actual policy effect.

When drawing a loanable-funds panel, state its convention. If public borrowing is added to demand against private saving, do not also subtract the same deficit from that supply. If net foreign financing is included, show it once and distinguish it from domestic saving. A changed financial flow in a separate currency panel cannot silently become a second independent source of funds.

Change the regime rather than forcing the same answer

Return to the monetary scenario, but suppose an authority instead maintains a fixed exchange quote. Use the currency lab to identify the intervention needed when private schedules no longer clear at that quote. Explain which floating-rate arrow is prevented while the peg is maintained, what balance-sheet quantity adjusts and why the domestic monetary effect depends on whether intervention is sterilized. Here sterilization means a separate domestic operation intended to offset the intervention’s effect on domestic monetary liquidity.

Check the fixed-rate qualification

With private downward pressure on the domestic currency, maintaining its previous foreign-per-domestic quote requires buying domestic currency and selling foreign reserves in this simplified intervention account. The quote does not depreciate while successfully maintained, so the floating-rate depreciation-to-net-exports channel cannot simply be copied unchanged. Reserve availability and willingness to intervene matter.

Buying domestic currency can withdraw domestic liquidity. A separate offsetting domestic operation could change that effect; the case does not supply such an operation or its effectiveness. Therefore neither unchanged liquidity nor unlimited control over the domestic interest rate follows merely from announcing the peg. This is a conditional balance-sheet explanation, not a complete model of sterilization, capital controls or crisis timing.

For an unfamiliar policy briefing, state the exchange regime, nominal and expected-inflation records, rate pass-through, risk assumptions and trade horizon before constructing the linked diagrams. Include one counterexample and an evidence request for the weakest link. These public cases develop explanation skills; a complete international-policy evaluation still needs dated evidence and independently reviewed work.