1. Mrs. Remoto would like to buy a television (TV) set payable for 6 months starting at the end of the month. How much is the cost of the TV set if her monthly payment is P3,000 and interest is 9% compounded semi-
annually?
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Answers & Comments
Answer:
1 - Since the interest rate is compounded semi-annually and the payments are monthly, we must adjust one to match the other.
2 - Generally, the easiest way is to to adjust the interest rate from semi-annual compounding to monthly compounding.
3 - 9% = 0.09 / 2 =0.045 + 1 =1.045^(1/6) =1.00736312 - 1 x 12 x 100 =8.836% compounded monthly.
4 - PV=0; PMT=3000; R=0.08836/12; N=6; PV==PMT*(((1 + R)^N - 1)*((1 + R)^-N)* R^-1)
5 - PV==17,545.08 - the cost of the TV
Step-by-step explanation:
hope it helps