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Novay_Z [31]
3 years ago
10

Gains from trade

Business
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

Contente's opportunity cost of producing 1 bushel of rye is <u>0.5</u> of jeans, and Dolorium's opportunity cost of producing 1 bushel of rye is <u>0.25</u> of jeans. Therefore, <u>DOLORIUM</u> has a comparative advantage in the production of rye, and <u>CONTENTE</u> has a comparative advantage in the production of jeans.

Suppose that each country completely specializes in the production of the good in which it has a comparative advantage, producing only that good. In this case, the country that produces rye will produce <u>64</u> million bushels per month, and the country that produces jeans will produce <u>24</u> million pairs per month.

Suppose the country that produces rye trades 54 million bushels of rye to the other country in exchange for 18 million pairs of jeans.

Dolorium:

Export 54 million bushels of rye

Consume 10 million bushels of rye

Import 18 million pairs of jeans

Contente:

Export 18 million pairs of jeans

Consume 6 million pairs of jeans

Import 54 million bushels of rye

Before specialization, the total production of rye = 36 + 16 = 52 million bushels, and the total production of jeans = 6 + 12 = 18 million pairs.

Because of specialization, the total production of rye has increased by <u>12</u> million bushels per month, and the total production of jeans has increased by <u>6</u> million pairs per month.

Calculate the gains from trade—that is, the amount by which each country has increased its consumption of each good relative to the first row of the table.

Contente:

Before specialization and trade, produced and consumed 6 million pairs of jeans and 36 million bushels of rye.

After specialization and trade, consumed 54 million bushels of rye and 6 million pairs of jeans.

Gain from trade is 18 million bushels of rye.

Dolorium:

Before specialization and trade, produced and consumed 12 million pairs of jeans and 16 million bushels of rye.

After specialization and trade, consumed 10 million bushels of rye and 18 million pairs of jeans.

Gain from trade is -2 million bushels of rye and 6 million pairs of jeans.

Explanation:

There is a mistake in the question, since Contente's production of jeans must be 6 per hour and its production of rye should be 12 bushels per hour. That is the only way that it can produce 6 million pairs of jeans and 36 million bushels of rye. Something similar happens with Dolorium, it must be able to produce 16 bushels of rye per hour and 4 pairs of jeans per hour in order to produce 12 million pairs of jeans and 16 million bushels of rye.

Country               Rye        Jeans

Contente              12             6

Dolorium               16            4

Contente's opportunity cost of producing rye = 6 / 12 = 0.5 pairs of jeans.

Dolorium's opportunity cost of producing rye = 4 / 16 = 0.25 pairs of jeans.

Dolorium's production of rye = 16 bushels x 4,000,000 labor hours = 64,000,000 bushels of rye.

Contente's production of jeans = 6 pairs x 4,000,000 labor hours = 24,000,000 pairs of jeans

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True

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What is Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B? Portfolio Average Retur
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Answer:

The Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B = 2.04 %

Explanation:

<em>Solution</em>

Given that:

Now,

The Jensen’s alpha of a Portfolio is computed by applying  the formula  below:

Jensen's alpha = Portfolio Return − [Risk Free Rate of Return + ( Portfolio Beta * (Market Rate of Return − Risk Free Rate of Return ) ) ]

For the information given in the question we have the following,

The Risk free rate of return = 3. 1%

In order to find the Jensen’s alpha we have to first get the following from the information given in the question :

1. Portfolio Return

2. Portfolio Beta

3.Market Rate of Return

Thus,

(A)Calculation of Portfolio Return :

The formula for calculation of Portfolio Return is  given as:

E(RP) = ( RA * WA )+ ( RB * WB )

Where

E(RP) = Portfolio Return

RA = Average Return of Portfolio A ; WA = Weight of Investment in Portfolio A

RB = Average Return of Portfolio B ;  WB = Weight of Investment in Portfolio B

For the information given in the question we have the following:

RA = 18.9 %, WA = 45 % = 0.45, RB = 13.2 %,  WB = 55 % = 0.55

By applying the values in the formula we have

= ( 18.9 % * 0.45 ) + ( 13.2 % * 0.55 )

= 8.5050 % + 7.2600 % = 15.7650 %

(B). Calculation of Portfolio Beta:

Now,

The formula for calculating the Portfolio Beta is

ΒP = [ ( WA * βA ) + ( WB * βB ) ]

Where,

βP = Portfolio Beta

WA = Weight of Investment in Portfolio A = 45 % = 0.45 ; βA = Beta of Portfolio A = 1.92

WB = Weight of Investment in Portfolio B = 55 % = 0.55 ; βB = Beta of Portfolio B = 1.27

By Applying the above vales in the formula we have

= ( 0.45 * 1.92 )   + ( 0.55 * 1.27 )

= 0.8640 + 0.6985

= 1.5625

(C). Calculation of Market rate of return :

Now,

The Market Risk Premium = Market rate of return - Risk free rate

From the Information given in the Question we have

The Market Risk Premium = 6.8 %

Risk free rate = 3. 1 %

Market rate of return = To find

Then

By applying the above information in the Market Risk Premium formula we have

6.8 % = Market rate of Return - 3.1 %

Thus Market rate of return = 6.8 % + 3.1 % = 9.9 %

So,

From the following  information, we gave

Risk free rate of return = 3.1% ; Portfolio Return = 15.7650 %

The Portfolio Beta = 1.5625 ; Market Rate of Return = 9.9 %

Now

Applying the above values in the Jensen’s Alpha formula we have

The Jensen's alpha = Portfolio Return − [Risk Free Rate of Return + ( Portfolio Beta * (Market Rate of Return − Risk Free Rate of Return )) ]

= 15.7650 % - [ 3.1 % + ( 1.5625 * ( 9.9 % - 3.1 % ) ) ]

= 15.7650 % - [ 3.1 % + ( 1.5625 * 6.8 % ) ]                  

= 15.7650 % - [ 3.1 % + 10.6250 % ]

= 15.7650 % - 13.7250 %

= 2.0400 %

= 2.04 % ( when rounded off to two decimal places )

Therefore, the Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B = 2.04 %

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