question archive You expect to receive P1,000 at the end of each of the next 3 years

You expect to receive P1,000 at the end of each of the next 3 years

Subject:FinancePrice:3.87 Bought7

You expect to receive P1,000 at the end of each of the next 3 years. You will deposit these payments into an account which pays 10%, compounded semiannually. What is the future value of these payments, that is, the value at the end of the third year? 

a. P3,318.01

b. P3,993.00

c. P7,986.00

d. P665.50

 

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Answer : a. P3,318.01

Step-by-step explanation

       
       
Period Payment Interest Accumulated Amount
    (Previous Amount x 10% / 2) (Previous Amount + Payment + Interest)
End of 1st Year 1000   1,000.00
2nd Year - 1st Semester   50.00 1,050.00
2nd Year - 2nd Semester 1000 52.50 2,102.50
3rd Year - 1st Semester   105.13 2,207.63
3rd Year - 2nd Semester 1000 110.38 3,318.01