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 percent, compounded semiannually. What is the future value of these payments, that is, the value at the end of the third year?

a. P1,157.63

b. P1,340.10

c. P1,331.00

d. P3,318.01

 

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Answer : d. 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