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A relative price is the price of a commodity such as a good or service in terms of another; i.e., the ratio of two prices. A relative price may be expressed in terms of a ratio between the prices of any two goods or the ratio between the price of one good and the price of a market basket of goods (a weighted average of the prices of all other goods available in the market).

Microeconomics can be seen as the study of how economic agents react to changes in relative prices, and of how relative prices are affected by the behavior of those agents. The difference and change of relative prices can also reflect the development of productivity.[1]

In a demand equation

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In the demand equation (in which is the number of units of a good or service demanded), is the relative price of the good or service rather than the nominal price. It is the change in a relative price that prompts a change in the quantity demanded. For example, if all prices rise by 10% there is no change in any relative prices, so if consumers' nominal income and wealth also go up by 10% leaving real income and real wealth unchanged, then demand for each good or service will be unaffected. But if the price of a particular good goes up by, say, 2% while the prices of the other goods and services go down enough that the overall price level is unchanged, then the relative price of the particular good has increased while purchasing power has been unaffected, so the quantity of the good demanded will go down.

Budget constraint and indifference curves

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See also: Substitution effect § Graphical analysis

Example of a substitution effect

In the graphical rendition of the theory of consumer choice, as shown in the accompanying graph, the consumer's choice of the optimal quantities to demand of two goods is the point of tangency between an indifference curve (curved) and the budget constraint (a straight line). The graph shows an initial budget constraint BC1 with resulting choice at tangency point A, and a new budget constraint after a decrease in the absolute price of Y (the good whose quantity is shown horizontally), with resulting choice at tangency point C. In each case the absolute value of the slope of the budget constraint is the ratio of the price of good Y to the price of good X – that is, the relative price of good Y in terms of X.

Distinguishing relative and general price changes

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Often inflation makes it difficult for economic agents to immediately distinguish increases in the price of a good which are due to relative price changes from changes in the price which are due to inflation of prices in general. This situation can lead to allocative inefficiency, and is one of the negative effects of inflation. In general, price change means that when the demand for a commodity increases, the price will go up, and when the demand for a commodity decreases, the price will also go down. However, during the period of inflation, the relationship between supply and demand and the change of demand are very special, which requires the judgment of special variation.

Relative price factors

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There are many factors affecting relative price, such as the change of employee labor rate, the difference of production supply and the change of government price policy, which can affect the change of relative price among commodities.

Changes in market supply and demand will also cause changes in relative prices, such as changes in social consumption levels and consumer consumption habits. These are all factors that affect relative prices.

See also

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Value or Price

References

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[edit]
Revisions and contributorsEdit on WikipediaRead on Wikipedia

Relative price

View on Grokipedia
from Grokipedia
In , a relative price is the price of one good, service, or expressed in terms of another, typically as the of their respective prices at a given time, reflecting the or between them. For instance, if good A costs $10 and good B costs $5, the relative price of A in terms of B is 2 units of B per unit of A. Unlike nominal prices, which are stated in absolute monetary units and can be distorted by or fluctuations, relative prices provide a clearer measure of value and by isolating the exchange relationship between goods. Relative prices serve as fundamental signals in market economies, guiding consumer choices, producer decisions, and by indicating which goods are relatively more or less abundant or desirable. They underpin concepts like the , where changes in the relative price of a good influence the quantity demanded, assuming other factors remain constant, and help explain substitution effects in consumer . In production, firms respond to relative price shifts by reallocating inputs toward higher-value outputs, promoting efficiency and . Beyond domestic markets, relative prices are central to , particularly in theories of (PPP), where sustained deviations in relative prices across countries can signal misalignments or imbalances. For example, if the relative price of non-tradables like rises in one nation compared to tradables like manufactured goods, it may contribute to real appreciations and affect competitiveness. Empirical studies also link relative price distortions—often arising from policies like taxes or subsidies—to reduced prosperity in developing economies by discouraging investment in capital goods. Overall, analyzing relative prices helps economists distinguish between general and specific sectoral shifts, informing and structural reforms.

Fundamentals

Definition and Measurement

In , a relative price is the value of one good, service, or bundle of goods expressed in terms of another, capturing the rate at which they can be exchanged at a given time. This measure highlights the involved in choosing one item over another, abstracting from absolute monetary values to focus on comparative and trade-offs. For instance, if a loaf of costs $2 and a gallon of costs $4, the relative price of bread in terms of milk is 0.5, meaning half a gallon of milk can be exchanged for one loaf. The concept of relative prices has its origins in , where thinkers like and shifted emphasis from monetary prices to exchange values, viewing them as determined primarily by the quantities of labor embodied in . Smith, in (1776), distinguished "natural prices"—long-run equilibrium values based on production costs including labor—from fluctuating market prices, using relative comparisons to analyze value stability. Ricardo built on this by seeking an "invariable measure" of value, such as a commodity with a fixed labor-to-capital , to assess how changes in affect relative prices across goods. This classical framework underscored relative prices as central to understanding without reliance on fluctuating standards. Relative prices are measured through simple ratios, where the price of one good (PAP_A) is divided by the price of another (PBP_B), yielding PAPB\frac{P_A}{P_B}, often expressed as a for clarity (e.g., PAPB×100\frac{P_A}{P_B} \times 100). To express prices in real terms across multiple or over time, economists select a numeraire—a benchmark good, service, or —serving as the common denominator for comparisons, such as using a bundle to normalize values and isolate relative changes from general . Relative prices can also be derived from aggregate indices, like the (CPI) adjusted for specific sub-baskets of , which tracks deviations in individual item costs relative to the overall price level. Practical examples illustrate these measurements: in a scenario without , the relative price of to cloth might be five bushels per yard, directly reflecting exchange feasibility. In contemporary settings, the relative price of to could be calculated as gallons affordable per hour of average earnings—say, 2 gallons at $4 per gallon and $8 hourly —revealing shifts in affordability amid growth or fuel volatility.

Absolute vs. Relative Prices

Absolute prices, also known as nominal prices, represent the monetary value of a good or service expressed in a specific , such as $2 for an apple or $40,000 for a . These prices are directly influenced by changes in the money supply and overall , as described by the , where an increase in the money supply (M) leads to a proportional rise in the (P) when (V) and output (Y) are stable. In contrast, relative prices measure the price of one good or service in terms of another, typically as a , such as the cost of an apple relative to an orange (e.g., two apples per orange). The key difference lies in their focus: absolute prices reflect the nominal cost in money terms and fluctuate with or monetary expansion, whereas relative prices emphasize and opportunity costs, remaining invariant to uniform changes in the overall . This invariance arises because relative prices capture trade-offs between goods, unaffected by proportional scaling of all monetary values, such as through . Relative prices are central to economic because they determine real and consumer choices, independent of the absolute . In Walrasian , only relative prices matter for achieving , as equilibrium allocations depend on price ratios rather than absolute magnitudes; scaling all prices by a constant factor leaves the equilibrium unchanged. For instance, if causes all prices to double—raising an apple from $1 to $2 and an orange from $2 to $4—the absolute prices change, but the relative price (one apple per half orange) remains the same, preserving the underlying trade-offs and consumer behavior.

Microeconomic Applications

Role in Demand Analysis

In microeconomic demand theory, relative prices serve as the key variable in demand functions, capturing how consumers respond to the of . A standard representation expresses the quantity demanded of good xx, QxQ_x, as a function of its relative price to a numeraire good yy and , such as Qx=f(Px/Py,I/Py)Q_x = f(P_x / P_y, I / P_y), where PxP_x and PyP_y are the prices of xx and yy, and II is . This formulation, common in demand system models like the Almost Ideal Demand System (AIDS), ensures homogeneity of degree zero in prices and , meaning demand depends on relative rather than absolute prices. Price elasticities further illustrate the role of relative prices in . The own-price elasticity measures the change in demanded in response to a change in the good's relative price, while cross-price elasticity quantifies substitution effects, defined as εxy=%ΔQx/%Δ(Py/Px)\varepsilon_{xy} = \% \Delta Q_x / \% \Delta (P_y / P_x), indicating how for good xx shifts with changes in the relative price of good yy. Positive cross-price elasticities signal substitute goods, where a rise in the relative price of yy boosts for xx, and negative values denote complements. The , isolated through the , decomposes total price changes into components driven by relative price adjustments, holding constant. The states that the total change in demand equals the plus the income effect: ∂xi∂pj=∂hi∂pj−xj∂xi∂m\frac{\partial x_i}{\partial p_j} = \frac{\partial h_i}{\partial p_j} - x_j \frac{\partial x_i}{\partial m}, where hih_i is the compensated (Hicksian) demand, and the substitution term ∂hi∂pj\frac{\partial h_i}{\partial p_j} reflects consumers switching to relatively cheaper goods. This isolates how relative price changes prompt reallocation across goods without altering . Empirically, relative prices significantly influence demand, as studies show consumers respond more to prices deflated by the (CPI)—a measure of relative to the general —than to nominal prices alone. For instance, short-run price elasticity estimates for U.S. demand range from -0.27 to -0.37 when using real prices (nominal price divided by CPI), based on post-2010 data with high-frequency methods, highlighting substitution toward alternatives like public transit when becomes relatively more expensive compared to overall . Similarly, demand elasticity increases with relative oil price shocks, as higher oil s elevate 's relative to other sources.

Budget Constraints and Indifference Curves

In consumer choice theory, the budget constraint delineates the feasible set of a consumer can purchase given their and the prices of those . For two , X and Y, with prices PXP_X and PYP_Y, and II, the budget constraint is expressed as the PXX+PYY=IP_X X + P_Y Y = I. This equation traces a straight line in the X-Y plane, where the −PXPY-\frac{P_X}{P_Y} equals the negative of the relative price of X in terms of Y, reflecting the opportunity cost of acquiring one more unit of X by forgoing Y. Indifference curves complement the budget constraint by illustrating the consumer's preferences. Each curve depicts combinations of X and Y that yield the same level of , with higher curves representing greater . Due to the assumption of diminishing (), these curves are convex to the origin, showing that consumers are willing to trade goods at a decreasing rate. The consumer achieves equilibrium at the point where an is tangent to the budget line, satisfying the condition that the — the slope of the , MUXMUY\frac{MU_X}{MU_Y}—equals the relative price ratio PXPY\frac{P_X}{P_Y}. This tangency maximizes subject to the . A change in relative prices alters the of the budget line, causing it to rotate while the intercept remains fixed if only one price changes. For instance, an increase in PXP_X steepens the , pivoting the line inward along the X-axis, leading to a new tangency with a lower unless compensated. The locus of these equilibrium points as relative prices vary traces the price-consumption curve, illustrating how optimal bundles adjust to price ratios. This framework, formalized in the approach, underpins the analysis of substitution effects in . Consider a consumer allocating between food (X) and clothing (Y), with initial prices PX=2P_X = 2 and PY=4P_Y = 4, and I=100I = 100. The line has −0.5-0.5, and equilibrium occurs at a tangency where MRS = 0.5. If PXP_X rises to 4, the relative price doubles to 1, rotating the line to -1. The new equilibrium shifts toward more Y and less X, demonstrating substitution away from the now costlier food along the price-consumption curve, reducing total unless adjusts.

Price Dynamics

Relative vs. General Price Changes

General price changes, often referred to as or , represent uniform shifts in the overall that affect all proportionally, eroding or enhancing the of across the . These changes are typically driven by monetary factors, such as expansions in the supply, and are measured using aggregate price indices like the (CPI), which tracks the average change in prices for a fixed basket of consumer , or the , which adjusts nominal GDP for overall price movements. In contrast, relative price changes involve non-uniform variations where the price of one good or service rises or falls compared to others, often due to sector-specific supply disruptions or demand shifts, prompting resource reallocation without altering the general . To identify relative price changes amid general ones, economists employ fixed-weight price indices that isolate deviations from the aggregate trend. The CPI, for instance, uses a Laspeyres formula with base-period weights to approximate overall , but core CPI variants exclude volatile items like and to filter out relative shocks and reveal underlying general movements. Paasche indices, which use current-period weights, complement this by providing an upper-bound estimate of price change, helping correct for substitution biases in Laspeyres measures and better distinguishing relative adjustments from pure . Advanced decompositions, such as dynamic factor models applied to sectoral price , further separate "pure "—the common component uncorrelated with relative variations—from idiosyncratic relative shifts, showing that relative changes account for the majority of price variability in datasets like U.S. PCE prices. The economic impacts of these distinctions are profound: general price changes uniformly reduce real , potentially distorting savings and if unanticipated, whereas relative price changes signal in specific sectors, encouraging substitution and efficient reallocation of resources. For example, relative price changes rotate the in models, altering the slope and prompting shifts toward relatively cheaper goods without changing overall income effects. A historical illustration is the 1970s oil shocks, where energy prices quadrupled relative to other goods amid the high general of the , averaging about 7% annually with peaks exceeding 13%, as production cuts drove sector-specific spikes that amplified by up to 0.2 percentage points per 50% oil price increase while signaling energy .

Factors Influencing Relative Prices

Relative prices vary across and markets primarily due to imbalances or shifts in conditions specific to those , distinct from general which affects all prices uniformly through monetary expansion. Supply-side factors play a key role in determining relative prices by altering production costs and capacities. Technological changes, such as innovations in processes, can reduce costs for specific , lowering their relative prices compared to others; for instance, advancements in have historically decreased the relative cost of producing durable relative to services. Resource availability influences relative prices through variations in input costs, where scarcities in raw materials like oil elevate the prices of energy-dependent relative to those using abundant alternatives. Productivity differences across sectors further drive these variations; higher agricultural yields from improved seeds and , for example, increase food supply and thus lower relative to manufactured products, which face stable or rising production hurdles. Demand-side factors contribute to relative price fluctuations by changing the intensity of consumer wants for particular goods. Income elasticities measure how demand responds to income growth: goods with high income elasticity, such as luxury vehicles, see their relative prices rise as incomes increase and demand outpaces supply, while necessities like basic staples experience smaller shifts. Shifts in preferences, driven by cultural trends or health awareness, can boost demand for organic foods over conventional ones, pushing up the relative price of the former. Population changes amplify these effects; rapid urbanization in developing economies heightens demand for housing and transport relative to rural goods, leading to sustained relative price increases in urban-related sectors. Market structure influences can distort relative prices away from competitive equilibria. In monopolistic markets, firms set prices above marginal costs to capture rents, resulting in higher relative prices for those compared to competitive alternatives; pharmaceutical patents, for example, maintain elevated drug prices relative to generic substitutes post-expiration. Externalities, such as environmental costs not borne by producers, lead to underpricing of polluting relative to clean ones, creating persistent distortions until regulatory interventions adjust effective prices. Relative prices adjust toward equilibrium where supply equals for each good, guided by Walras' law, which ensures that excess demand in one market implies excess supply elsewhere, prompting price ratios to converge and clear all markets simultaneously. This process reallocates resources efficiently across sectors based on relative scarcities. A prominent example is the tech boom's impact on electronics prices, where —describing the doubling of transistors on chips approximately every two years—has driven exponential productivity gains, slashing the relative price of computing devices from thousands of dollars per unit in the 1970s to fractions of a cent in equivalent performance today.

Broader Economic Implications

In International Trade

In , relative prices play a central role in determining patterns of specialization and exchange between countries, as outlined in classical trade theory. According to David Ricardo's model of , differences in relative prices across countries arise from varying opportunity costs of production, leading nations to specialize in where they have a lower relative cost and trade for others. In Ricardo's seminal example, has an absolute advantage in producing both cloth and wine but a in cloth due to its lower (requiring fewer units of wine foregone per unit of cloth compared to ), while has a in wine; this disparity in relative prices drives mutual gains through specialization and exchange. The , defined as the ratio of a country's prices to its prices (TOT = P_exports / P_imports), capture the relative at which exports are exchanged for imports and serve as a key measure of the . An improvement in occurs when prices rise relative to prices, allowing a country to obtain more imports per unit exported, thereby enhancing welfare. This ratio reflects in global markets and influences balances, with empirical calculations often using price indices weighted by volumes. Building on Ricardo's labor-based framework, the Heckscher-Ohlin model explains trade patterns through differences in relative factor endowments, such as labor versus capital, which affect relative goods prices across countries. In this model, a capital-abundant country like the will export capital-intensive goods (e.g., machinery) at lower relative prices domestically compared to a labor-abundant country like , which exports labor-intensive goods (e.g., textiles); trade equalizes factor prices and aligns relative product prices internationally. The theorem posits that countries export goods that intensively use their abundant factors, driven by pre-trade autarky price differences stemming from endowment variations. An empirical illustration of these dynamics appears in the post-NAFTA period (1994 onward), where trade liberalization between the and led to shifts in relative prices between manufactures and . , with its relative abundance of labor, saw increased exports of labor-intensive agricultural products like fruits and , resulting in lower relative prices for these imports in the U.S. market (e.g., greater variety and reduced retail prices for Mexican produce due to scale economies and barrier removal), while U.S. capital-intensive manufactures flooded Mexican markets, depressing relative agricultural prices there for grain imports. This convergence in prices for exported crops (e.g., tomatoes adjusting to U.S. levels in 12 months post-NAFTA versus 21 months pre-NAFTA) highlighted 's emerging comparative advantage in high-value , though basic crop imports like showed slower price integration. Overall, these relative price adjustments through expand consumption possibilities and improve welfare by allowing countries to access imported at lower relative costs than under . manifest as an outward shift in the production-possibility frontier effective for consumption, where specialization enables higher through diversified bundles at improved terms; for instance, lower relative prices for imports enhance , particularly benefiting consumers in import-competing sectors.

In Macroeconomic Policy

Central banks primarily target overall inflation rates to maintain , but their monetary policies can inadvertently distort relative prices across sectors. For instance, (QE) programs, implemented by institutions like the and the during the post-2008 , involve large-scale asset purchases that lower long-term interest rates and boost asset prices, such as equities and real estate, relative to consumer goods. This shift can lead to misallocations, where capital flows disproportionately into financial assets rather than productive investments, potentially exacerbating wealth inequality without proportionally stimulating broad-based consumption. Fiscal policies also directly influence relative prices through targeted interventions like subsidies and taxes, which alter the cost structures faced by producers and consumers. Carbon taxes, for example, increase the relative price of energy-intensive compared to low-carbon alternatives, incentivizing a shift toward cleaner technologies and reducing emissions. Such measures, as analyzed by the , cause specific price adjustments that encourage resource reallocation toward more efficient, environmentally sustainable activities, though they may initially raise production costs in affected sectors. Similarly, subsidies for lower the relative price of green inputs, promoting innovation and long-term economic efficiency. Relative price variability serves as an indicator of in macroeconomic contexts, with elevated levels often signaling resource misallocation and reduced welfare. In periods of high , such as episodes, unanticipated price shocks amplify dispersion across goods, distorting signals for optimal allocation and imposing welfare costs equivalent to 1.5% of GDP at 100% annual rates, as evidenced in studies of Argentina's experience. This variability undermines the price mechanism's role in coordinating , leading to inefficiencies like in some sectors and shortages in others. Policymakers monitor these dynamics to design stabilizing measures, recognizing that sustained high variability erodes overall productivity. A notable application occurred during the European Central Bank's response to the (2009–2012), where relative price adjustments facilitated internal in like and . Lacking independent flexibility, these nations achieved competitiveness gains through wage and price reductions relative to core economies, supported by ECB liquidity provision and fiscal programs. This process, involving a cumulative 20–30% drop in unit labor costs in affected countries, helped restore trade balances without nominal , though it entailed short-term output contractions. In long-term macroeconomic growth frameworks, relative prices play a crucial role in guiding , particularly in models like the Solow growth model, which emphasizes the equilibrium capital-labor ratio as a determinant of steady-state output per worker. The rental rate of capital relative to wages influences investment decisions, ensuring that savings translate into an optimal accumulation of capital stock to match labor supply. Distortions in these relative prices, such as through persistent or policy interventions, can deviate the economy from its balanced growth path, reducing potential output and convergence.

References

  1. https://www.econlib.org/library/Topics/College/realrelativenominalprices.html
  2. https://home.ubalt.edu/ntsbarsh/stat-data/KeywordsPhra.htm
  3. https://study.com/academy/lesson/what-is-relative-price-definition-formula.html
  4. https://www.elibrary.imf.org/view/journals/001/1995/113/article-A001-en.xml
  5. http://www.econ.ucla.edu/arielb/abpricingtomarket.pdf
  6. https://www.ssc.wisc.edu/~cengel/PublishedPapers/JMERealEx.pdf
  7. https://scholar.harvard.edu/files/mankiw/files/relative-price_changes.pdf
  8. https://www.tandfonline.com/doi/abs/10.1080/10370196.2020.1745439
  9. https://content.csbs.utah.edu/~ehrbar/rpff.pdf
  10. https://corporatefinanceinstitute.com/resources/economics/numeraire/
  11. https://sendpulse.com/support/glossary/relative-price
  12. https://saylordotorg.github.io/text_macroeconomics-theory-through-applications/s15-01-the-quantity-theory-of-money.html
  13. https://www.stlouisfed.org/on-the-economy/2023/feb/how-inflation-relative-price-increases-differ
  14. https://personal.lse.ac.uk/GOTTLIED/publications/GE_Notes.pdf
  15. https://www.aeaweb.org/aer/top20/70.3.312-326.pdf
  16. https://www.princeton.edu/~deaton/downloads/Estimating_Own_and_Cross_Price_Elasticities.pdf
  17. https://www.jstor.org/stable/43828058
  18. https://www.dallasfed.org/research/economics/2020/0616
  19. https://onlinelibrary.wiley.com/doi/abs/10.1002/jae.2500
  20. https://www.aeaweb.org/articles?id=10.1257/pol.20140093
  21. https://www.nber.org/system/files/working_papers/w12530/w12530.pdf
  22. https://assets.openstax.org/oscms-prodcms/media/documents/Microeconomics3e-WEB.pdf
  23. https://openstax.org/books/principles-microeconomics-3e/pages/b-indifference-curves
  24. https://www.jstor.org/stable/2548574
  25. http://digamo.free.fr/hicks39.pdf
  26. https://benjaminmoll.com/wp-content/uploads/2024/07/Hicks_Allen_part2.pdf
  27. https://www.clevelandfed.org/publications/economic-commentary/2008/ec-20080601-rising-relative-prices-or-inflation-why-knowing-the-difference-matters
  28. https://www.bls.gov/cpi/questions-and-answers.htm
  29. https://www.imf.org/-/media/Files/Data/CPI/companion-publication/chapter-1-basic-index-number-theory.ashx
  30. https://www.princeton.edu/~mwatson/papers/pureinflation_November09_2007.pdf
  31. https://www.bls.gov/cpi/tables/supplemental-files/historical-cpi-u-202310.pdf
  32. https://www.frbsf.org/research-and-insights/publications/economic-letter/2005/10/oil-price-shocks-and-inflation/
  33. https://www.imf.org/en/publications/fandd/issues/series/back-to-basics/supply-and-demand
  34. https://barrett.dyson.cornell.edu/files/papers/IFPRIMay2002.pdf
  35. https://www.nber.org/system/files/working_papers/w23338/w23338.pdf
  36. https://www.investopedia.com/terms/i/incomeeffect.asp
  37. https://scholar.harvard.edu/files/melitz/files/monopoly_power_and_endogenous_product_variety.pdf
  38. https://www.sciencedirect.com/science/article/abs/pii/S0167718721000254
  39. https://faculty.wcas.northwestern.edu/mdo738/textbook/dls_ch5.pdf
  40. https://www.nber.org/system/files/chapters/c13897/revisions/c13897.rev0.pdf
  41. https://www.bls.gov/mxp/publications/factsheets/terms-of-trade.htm
  42. https://www.ers.usda.gov/sites/default/files/_laserfiche/publications/42499/30745_aib784b_002.pdf
  43. https://www.bcentral.cl/documents/33528/133326/DTBC_277.pdf
  44. https://economics.mit.edu/sites/default/files/publications/GT_03-05-18_final.pdf
  45. https://www.imf.org/-/media/Files/News/Seminars/2024/AME/marcin-kolasa-paper.ashx
  46. https://www.cbo.gov/publication/58457
  47. https://www.brookings.edu/articles/the-new-tools-of-monetary-policy/
  48. https://www.cbo.gov/sites/default/files/113th-congress-2013-2014/reports/Carbon_One-Column.pdf
  49. https://www.oecd.org/content/dam/oecd/en/publications/reports/2021/10/tax-policy-and-climate-change_c0830491/9ab5574d-en.pdf
  50. https://www.imf.org/external/pubs/ft/wp/wp9873.pdf
  51. https://www.journals.uchicago.edu/doi/abs/10.1086/260648
  52. https://economics.mit.edu/sites/default/files/inline-files/hyperinflation_Argentina_QJE.pdf
  53. https://eml.berkeley.edu/~enakamura/papers/costsinflation.pdf
  54. https://www.ecb.europa.eu/pub/pdf/scpwps/ecb.wp2049.en.pdf
  55. https://www.ecb.europa.eu/pub/pdf/scpops/ecbop173.en.pdf
  56. https://www.ecb.europa.eu/pub/pdf/scpops/ecb.op203.en.pdf
  57. https://pages.nyu.edu/debraj/Courses/Readings/Solow.pdf
  58. https://assets.press.princeton.edu/chapters/s2_8764.pdf
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