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SHOW SOLUTION AND FORMULA USED. (PLEASE DON'T USE EXCEL TO SOLVE THE PROBLEMS) A man loans 187,400 pesos from a bank with interest at 5%

SHOW SOLUTION AND FORMULA USED. (PLEASE DON'T USE EXCEL TO SOLVE THE PROBLEMS)

  1. A man loans 187,400 pesos from a bank with interest at 5% compounded annually. He agrees to pay his obligations by paying 8 equal annual payments, the first being due at the end of 10 years. Find the annual payments.
  2. A person buys a piece of lot for 100,000 pesos down payment and 10 deferred semi-annual payments of 8,000 pesos each, starting three years from now. What is the present value of the investment if the rate of interest is 12% compounded semi-annually?
  3. A young engineer borrowed 10,000 pesos at 12% interest and paid 2,000 pesos per annum for the last 4 years. What does he have to pay at the end of the fifth year in order to pay off his loan?
  4. A machine costs of 8,000 pesos and an estimated life of 10 years with a salvage value of 500 pesos. What is its book value after 8 years using straight line method?
  5. An engineer bought an equipment for 500,000 pesos. Other expenses including installations amounted to 30,000 pesos. At the end of its estimated useful life of 10 years, the salvage value will be 10% of the first cost. Using straight line method of depreciation, what is the book value after 5 years?
  6. A manufacturing plant was built at a cost of P5M and is estimated to have a life of 20 years with a salvage value of 1,000,000 pesos. A certain equipment worth 570,000 pesos was installed at a cost of 80,000 pesos is expected to operate economically for 15 years with a salvage value of 50,000 pesos. Determine the book value of the plant and equipment after 10 years, use straight line depreciation method.
  7. A machine costing 720,000 pesos is estimated to have a life of 10 years. If the annual rate of depreciation is 25%, determine the total depreciation using a constant percentage of the declining balance method.
  8. An 8-year annuity due has a present value of 1,000 dollars. If the interest rate is 5 percent, the amount of each annuity payment is closest to which of the following?
  9. An 8-year annuity due has a future value of 1,000 dollars. If the interest rate is 5 percent, the amount of each annuity payment is closest to which of the following?
  10. What is the present worth of a 500 pesos annuity starting at the end of the third year and continuing to the end of the fourth year, if the annual interest rate is 10%?

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