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grigory [225]
3 years ago
5

The nominal exchange rate is .80 euros per U.S. dollar and a basket of goods in France costs 1,000 euros while the same basket c

osts $800 in the U.S. The nominal exchange rate is 1.2 Australian dollars per U.S. dollar and a basket of goods in Australia costs 960 Australian dollars while the same basket costs $800 in the U.S.. Which country has purchasing-power parity with the U.S.?
Business
1 answer:
lukranit [14]3 years ago
3 0

Answer:

Australia has purchasing-power parity with the U.S.

Explanation:

A basket of goods costs $800 in the US. The same basket costs 1,000 euros in France and 960 Australian dollars in Australia.  

The nominal exchange rate for euros is .80 euros per U.S. dollar and for Australian dollars, it is 1.2 Australian dollars per U.S. dollar.  

The purchasing power parity theory compares the currency of two countries through a basket of goods. The currency of the two countries is in equilibrium or is at par if a basket of goods cost the same in both the countries.  

This method compares the economic productivity and standard of living in two countries.  

Converting the value of basket in France into US dollars,

= \frac{1,000}{0.80}

= $1,250  

Converting the value of basket in Australia into US dollars,

= \frac{960}{1.2}

= $800

The cost of the basket of goods is same in Australia. This indicates that Australia has purchasing-power parity with the U.S.

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Both Bond Bill and Bond Ted have 6.2 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 5 yea
iragen [17]

Answer:

a-1. Percentage change in the price of Bond Bill = -8.07%

a-2. Percentage change in the price of Bond Ted = -21.12%

b-1. Percentage change in the price of Bond Bill = 8.94%

b-1. Percentage change in the price of Bond Ted = 30.77%

c. See the attached excel file for the graph.

d. It tells us that the longer the term of a bond, the greater will be its interest rate risk.

Explanation:

The price of each bond can be calculated using the following excel function:

Bond price = -PV(YTM, NPER, PMT, FV) ........... (1)

Where;

a-1. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Bill?

YTM = (6.2% + 2%) / Number of semiannuals in a year = 8.2% / 2 = 4.1%

NPER = Number of semiannuals to maturity = 5 * 2 = 10

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Bill = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Bill = -PV(4.1%, 10, 31, 1000)

Inputting =-PV(4.1%, 10, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Bill = $919.29

Percentage change in the price of Bond Bill = ((New price of Bond Bill - Initial price of Bond Bill) / Initial price of Bond Bill) * 100 = (($919.29 - $1,000) / $1,000) * 100 = -8.07%

a-2. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of Bond Ted?

YTM = (6.2% + 2%) / Number of semiannuals in a year = 8.2% / 2 = 4.1%

NPER = Number of semiannuals to maturity = 25 * 2 = 50

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Ted = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Ted = -PV(4.1%, 50, 31, 1000)

Inputting =-PV(4.1%, 50, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Ted = $788.81

Percentage change in the price of Bond Ted = ((New price of Bond Ted - Initial price of Bond Bill Ted) / Initial price of Bond Ted) * 100 = (($788.81 - $1,000) / $1,000) * 100 = -21.12%

b-1. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Bill be then?

YTM = (6.2% - 2%) / Number of semiannuals in a year = 4.2% / 2 = 2.1%

NPER = Number of semiannuals to maturity = 5 * 2 = 10

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Bill = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Bill = -PV(2.1%, 10, 31, 1000)

Inputting =-PV(2.1%, 10, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Bill = $1,089.36

Percentage change in the price of Bond Bill = ((New price of Bond Bill - Initial price of Bond Bill) / Initial price of Bond Bill) * 100 = (($1,089.36 - $1,000) / $1,000) * 100 = 8.94%

b-2. If rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of Bond Ted be then?

rate = new YTM = (6.2% - 2%) / Number of semiannuals in a year = 4.2% / 2 = 2.1%

NPER = Number of semiannuals to maturity = 25 * 2 = 50

PMT = Payment = Coupon rate * Face value = (6.2% / Number of semiannuals in a year) * 1000 = (6.2% / 2) * 1000 = $31

FV = Face value = Initial price of Bond Ted = $1,000

Substituting all the values into equation (1), we have:

New price of Bond Ted = -PV(2.1%, 50, 31, 1000)

Inputting =-PV(2.1%, 50, 31, 1000) in a cell in an excel file (Note: As done in the attached excel file), we have:

New price of Bond Ted = $1,307.73

Percentage change in the price of Bond Ted = ((New price of Bond Ted - Initial price of Bond Bill Ted) / Initial price of Bond Ted) * 100 = (($1,307.73 - $1,000) / $1,000) * 100 = 30.77%

c. Illustrate your answers by graphing bond prices versus YTM.

Note: See the attached excel file for the graph.

d. What does this problem tell you about the interest rate risk of longer-term bonds?

It tells us that the longer the term of a bond, the greater will be its interest rate risk.

Download xlsx
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Why is it beneficial for businesses to be stationed in cities?
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Arnold, a single individual, has adjusted gross income of $65,000 in the current year. Arnold donates the following items to his
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Answer:

Option A. $15,400

Explanation:

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Answer:

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The ultimate goal of the capital budgeting process is to​ ________. A. list the projects and investments that a company plans to
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Answer:

The correct option which represents the ultimate goal of capital budgeting is D) .

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