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The Law of One Price

The Law of One Price (LOOP) is an economic principle stating that identical goods should cost the same across different markets when external factors like transportation and trade barriers are absent. It relies on assumptions such as perfect competition and stable exchange rates. The concept is crucial in understanding market efficiency, international trade, and the role of arbitrage in maintaining price parity. While ideal conditions are rare, LOOP is a key theoretical tool for analyzing pricing dynamics and market equilibrium.

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1

LOOP Market Conditions

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Requires efficient markets, no transport costs, no trade barriers.

2

Arbitrage Role in LOOP

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Exploits price differences across markets to enforce price uniformity.

3

LOOP Assumption on Currency

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Prices compared after converting to a common currency.

4

For the Law of One Price to hold true, it requires stable exchange rates that show the actual ______ ______ between currencies and no differential ______ or tariffs.

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purchasing power taxation

5

Meaning of S in Law of One Price equation

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S represents the exchange rate between two currencies.

6

Role of P1 in Law of One Price equation

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P1 is the price of a good in the first currency.

7

Implication of Law of One Price for arbitrage

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No arbitrage possible; prices equalized when considering exchange rate.

8

The ______ often follows the Law of One Price due to oil being a standardized commodity with a global price.

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global oil market

9

Law of One Price - Role of Arbitrageurs

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Arbitrageurs exploit price disparities by buying low, selling high, prompting global price alignment.

10

Bond Price Disparities - Consequence

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Price differences lead to arbitrage, causing a market correction to equalize prices across markets.

11

Global Bond Price Alignment - Mechanism

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Arbitrage activities ensure similar bonds are equally priced in various markets, upholding the Law of One Price.

12

The ______ suggests that identical assets should have the same price across different markets, but real-world imperfections can lead to ongoing disparities.

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Law of One Price

13

Law of One Price - Ideal Market Conditions

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In perfect markets, identical goods have equal prices across markets, assuming no external costs.

14

Role of Arbitrage - Law of One Price

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Arbitrage exploits price differences, driving markets towards the Law of One Price equilibrium.

15

Law of One Price - Real Market Limitations

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Real markets often deviate from the Law due to factors like transportation costs and trade barriers.

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Exploring the Law of One Price in Economic Theory

The Law of One Price (LOOP) is an economic theory proposing that in an efficient market, a particular good should uniformly cost the same in different markets when prices are converted into a common currency, assuming no transportation costs and no trade barriers. This principle is predicated on the notion of arbitrage, the mechanism by which traders would buy a good in one market where it is cheaper and sell it in another where it is more expensive, thus eliminating any price differentials and enforcing the law.
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Preconditions for the Law of One Price

The Law of One Price relies on several critical assumptions to be valid. These include perfectly competitive markets, the absence of transportation and transaction costs, no differential taxation or tariffs, and stable exchange rates that reflect the true purchasing power parity between currencies. Although these ideal conditions are seldom met in the real world, they are essential for understanding the theoretical underpinnings of the Law of One Price and its implications for economic models.

Mathematical Formulation of the Law of One Price

The Law of One Price can be mathematically represented by the equation S = P1/P2, where S denotes the exchange rate between two currencies, P1 is the price of a good in the first currency, and P2 is the price of the identical good in the second currency. This relationship suggests that the exchange rate should be the ratio of the two goods' prices in different currencies, indicating an equilibrium where no arbitrage is possible because the prices are equalized when considering the exchange rate.

Real-World Observations and Applications of the Law of One Price

In practice, the Law of One Price has implications for international trade and finance. The global oil market often closely adheres to this law, as oil is a standardized commodity with a price that tends to be consistent worldwide, despite regional differences in costs. The Big Mac Index, devised by The Economist, is a lighthearted illustration of the Law of One Price, using the price of a Big Mac in various countries to evaluate currency valuation and purchasing power parity.

The Law of One Price in the Context of Bond Markets

The Law of One Price is particularly pertinent in the bond market, where it dictates that bonds with equivalent risk and return profiles should be priced equally across different markets, absent any transaction costs. Disparities in bond prices can prompt arbitrageurs to buy low in one market and sell high in another, leading to a price correction that aligns bond prices globally. This process reinforces the Law of One Price by ensuring that similar financial instruments carry the same price tag in various markets.

The Role of Arbitrage in Upholding the Law of One Price

Arbitrage is the cornerstone of the Law of One Price, exploiting price discrepancies for identical assets across different markets to secure a risk-free profit. This activity affects the dynamics of supply and demand and helps to achieve market equilibrium by increasing supply in markets with higher prices and boosting demand in markets with lower prices, thus promoting price parity. Nevertheless, real-world market imperfections, such as regulatory constraints, limited market access, and varying consumer preferences, can result in persistent deviations from the Law of One Price.

Concluding Insights on the Law of One Price

The Law of One Price serves as a theoretical standard for analyzing market efficiency and pricing dynamics. It suggests that in an ideal market environment, identical goods should command the same price across different markets when external costs are negligible. The principle hinges on market efficiency and the role of arbitrage in correcting price disparities. Although its assumptions may not fully apply in actual market conditions, the Law of One Price remains a fundamental concept for comprehending the principles of international trade, currency valuation, and the mechanisms that drive markets toward equilibrium.