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The table below shows the tons of steel and concrete that can be produced by the United States and France in an hour

Economics Sep 16, 2020
  1. The table below shows the tons of steel and concrete that can be produced by the United States and France in an hour. From the data in the table, you conclude: U.S. production possibilities 25 100 France's production possibilities 100 200 Steel Concrete A the United States has a comparative advantage in the production of concrete B. the United States has an absolute advantage in the production of concrete C. France has a comparative advantage in the production of both goods D. France has a comparative advantage in the production of concrete
  2. Practice Problems: 1.) Determine the effective annual rate of interest corresponding to 18% compounded quarterly? 2.) A car was bought on the instalment basis with monthly instalment of P10,000 for 5 years. If interest rate is 12% compounded annually, calculate the cash price of the car. 3.) How many yearly withdrawals of P10,000 can be made from P14400 investment at 25% compounded annually? 4.) The purchase amount of an equipment amounting to P100,000 has been made available through a loan which earns 12% per annum. It has been agreed that the loan be payable in 10 equal payments. How much then is the yearly due?

Expert Solution

  1. Answer: A

     

    Absolute advantage is the higher production in comparison.

    As per the data given, the country-F has absolute advantage in both steel and concrete, because the steel production of F is 100 units and it is higher than 25 units of the US, and the concrete production of F is 200 units and it is higher than 100 units of the US.

     

    Comparative advantage is the lower opportunity cost of production.

    As per the data given the table of opportunity cost (OC) is as below: Steel Concrete Production OC Production OC US 25 100/25

    In case of steel production the country-F has lower OC than the US, since 2 < 4

    In case of concrete production the US has lower OC than the US, since 0.25 < 0.50

    Therefore, country-F has comparative advantage in steel and the US has comparative advantage in concrete.

     

    Therefore, option-A is correct.

     

    Other options are not correct:

    Option B: the US doesn’t have any absolute advantage.

    Option C: country-F has comparative advantage in steel only, but not in concrete.

    Option D: the comparative advantage in concrete goes to the US, but not to the country-F.

  2. 1)

    The effective annual rate of interest is calculated as follows

    Effective annual rate of interest = 0.18 1+ 4 - 1

    Effective annual rate of interest = 19.25 %

    ---------------------------------------------------------------------------------------------------------------

    2)

    The monthly installment on the loan and cash price of the car are related according to the following equation

    P10,000 Price of the car 0.12 -12X5 1 1 + 0.12 12

    Price of the car = $449,550.38

    ----------------------------------------------------------------------------------------------------

    3)

    The present value of the investment and the annual withdrawals are related as follows

    [(1 + 0.25) – 1] P14400 = P10,000 x 0.25 x (1 + 0.25) 72

    Solving for n in the above equation

    Number of yearly withdrawals they can make is 2 years

    --------------------------------------------------------------------------------------------------------

    4)

    The yearly due is found using the following equation

    Yearly due P100,000 1-(1+0.12) 0.10 -10

    Yearly due = $17,698.42

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