/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 3 A television set costs \(\$ 500\... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A television set costs \(\$ 500\) in the United States. The same set costs 725 euros. If purchasing power parity holds, what is the spot exchange rate between the euro and the dollar?

Short Answer

Expert verified
The spot exchange rate is 1.45 EUR/USD.

Step by step solution

01

Understand Purchasing Power Parity (PPP)

Purchasing power parity (PPP) is an economic theory that states that the exchange rate between two currencies should equal the ratio of the two countries' price levels for a fixed basket of goods. In this case, it means the exchange rate should make the television set's price equivalent between the U.S. and Europe.
02

Set Up the PPP Formula

According to PPP, we have the formula: \[\frac{\text{Price in Euros}}{\text{Price in USD}} = \text{Exchange Rate (EUR/USD)}\]Substitute the known values: a TV costing 725 euros and 500 USD.\[\frac{725 \, \text{euros}}{500 \, \text{USD}} = \text{Exchange Rate (EUR/USD)}\]
03

Calculate the Exchange Rate

Calculate the exchange rate using the PPP formula from Step 2:\[\text{Exchange Rate} = \frac{725}{500} = 1.45\]This means that under PPP, 1 euro equals 1.45 dollars.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Exchange Rate
The exchange rate is a crucial concept when dealing with international economics. It represents the value of one country’s currency relative to another. For example, if you see an exchange rate of 1.45 EUR/USD, it means 1 euro is equivalent to 1.45 US dollars. The exchange rate fluctuates based on various factors, including market demand and supply, economic conditions, and government policies.

Importance of Exchange Rate:
  • Helps in determining the relative value of currencies between countries.
  • Influences foreign trade by impacting export and import prices.
  • Vital for investors involved in foreign markets, as it affects investment returns.
In our exercise, finding the exchange rate ensures the price of goods, like a television set, remains uniform across borders, ensuring fair trade practices.
Role of Economic Theory
Economic theories serve as frameworks that economists and policymakers use to understand how economies operate. Purchasing Power Parity (PPP) is one such theory used for determining exchange rates. It suggests that in the absence of transportation costs and trade barriers, identical goods should cost the same in different countries when prices are expressed in a common currency.

Under PPP, if a television costs $500 in the US and the same model is priced at 725 euros in Europe, this theory implies the exchange rate should be set so that the television's cost matches across both regions.
Significance of Economic Theories like PPP:
  • They provide benchmarks for evaluating currency valuations and economic conditions.
  • Help in making economic forecasts and conducting foreign exchanges.
  • Provide insights into the purchasing power differences across countries.
Hence, these theories are essential tools to analyze and predict market trends and guide economic policies.
The Basics of Currency Conversion
Currency conversion is the process of exchanging one currency for another. This calculation is essential when buying goods across international borders to ensure the buyer pays an equivalent value in their local currency. It relies heavily on the current exchange rate between the two currencies involved in the transaction.

Steps for Currency Conversion:
  • Determine the current exchange rate between the currencies.
  • Multiply the amount in the original currency by the exchange rate to find the equivalent amount in the new currency.
For the given exercise, converting the US dollar price of a TV to euros using the calculated exchange rate of 1.45 implies multiplying $500 by this rate to obtain 725 euros, confirming the parity as per PPP. Currency conversion ensures transparency and equitability in international trade, reinforcing the importance of understanding and accurately applying exchange rates.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Six-month T-bills have a nominal rate of 7 percent, while default-free Japanese bonds that mature in 6 months have a nominal rate of 5.5 percent. In the spot exchange market, one yen equals \(\$ 0.009\). If interest rate parity holds, what is the 6 -month forward exchange rate?

Early in September \(1983,\) it took 245 Japanese yen to equal \(\$ 1 .\) More than 17 years later, in December 2000 that exchange rate had fallen to 110 yen to \(\$ 1 .\) Assume the price of a Japanese-manufactured automobile was \(\$ 9,000\) in September 1983 and that its price changes were in direct relation to exchange rates. a. Has the price, in dollars, of the automobile increased or decreased during the 17 -year period because of changes in the exchange rate? b. What would the dollar price of the automobile be in December 2000 , again assuming that the car's price changes only with exchange rates?

Suppose the exchange rate between the U.S. dollar and the Swedish krona was \(10 \mathrm{krona}=\) \(\$ 1.00,\) and the exchange rate between the dollar and the British pound was \(£ 1=\$ 1.50\) What was the exchange rate between Swedish kronas and pounds?

A currency trader observes that in the spot exchange market, one U.S. dollar can be exchanged for 4.0828 Israeli shekel or for 111.23 Japanese yen. What is the cross exchange rate between the yen and the shekel; that is, how many yen would you receive for every shekel exchanged?

After all foreign and U.S. taxes, a U.S. corporation expects to receive 3 pounds of dividends per share from a British subsidiary this year. The exchange rate at the end of the year is expected to be \(\$ 1.60\) per pound, and the pound is expected to depreciate 5 percent against the dollar each year for an indefinite period. The dividend (in pounds) is expected to grow at 10 percent a year indefinitely. The parent U.S. corporation owns 10 million shares of the subsidiary. What is the present value in dollars of its equity ownership of the subsidiary? Assume a cost of equity capital of 15 percent for the subsidiary.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.