Monthly payment of the future value of P 50,000 for 1 year with an interes Thus, the man should pay P 38, Activity 5: Give Me the Periodic Payment of the following years. ordinary annulties. |(1+/)" - (1+f)~" Use the formula: R= P/ D"| or R = F/ 1. rate of 10% compounded monthly. Quarterly payment of an accumulated amount of P 80,000 for 2 vean interest rate of 8% compounded quarterly. Payment every six months for the present value of P 100,000 for 2 ve with an interest rate of 12% compounded semi-annually. 2. 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Solve for activity 5, number 1,2 and 3
Thus, the man should pay P 38,803.35 every year for three years.
Monthly payment of the future value of P 50,000 for 1 year with an interes
Activity 5: Give Me the Periodic Payment of the following
P=100000
R= ?
R=?
R=?
3
P =R1-(1+)-
Since
100,000
2.57709699
= 100 000/ 1-(1+0.08)-3
0.08
R= P/ 1-(1+1)-"
then,
R = 38,803.35
ordinary annuities.
1-(1+J)~"]
1.
rate of 10% compounded monthly.
Quarterly payment of an accumulated amount of P 80,000 for 2 vean
interest rate of 8% compounded quarterly.
Payment every six months for the present value of P 100,000 for 2 ve
with an interest rate of 12% compounded semi-annually.
2.
3.
Additional Examples
Aling Paring started to deposit P 2,000 quarterly in a fund that pays 5.5%
compounded quarterly. How much will be in the fund after 6 years?
1.
Given: R =P 2,000
bovl
m = 4
t = 6 years
i(12) = 5.5% = 0.055
0.055
j =
= 0.01375
n = tm
= (6)(4) = 24 periods
Find: F
Solution.
F = R[4" -]
= 2,000(1+0.01375)24 - 1
0.01375
= 2,000(1.01375)²4
1.
0.01375
= 2,00o1.38784451 – 1
0.01375
= 2,0001.38784451- 1
0.01375
= 2,000으.38784451
0.01375
= 2,000(28.206874)
= 56,413.747601
Transcribed Image Text:Thus, the man should pay P 38,803.35 every year for three years. Monthly payment of the future value of P 50,000 for 1 year with an interes Activity 5: Give Me the Periodic Payment of the following P=100000 R= ? R=? R=? 3 P =R1-(1+)- Since 100,000 2.57709699 = 100 000/ 1-(1+0.08)-3 0.08 R= P/ 1-(1+1)-" then, R = 38,803.35 ordinary annuities. 1-(1+J)~"] 1. rate of 10% compounded monthly. Quarterly payment of an accumulated amount of P 80,000 for 2 vean interest rate of 8% compounded quarterly. Payment every six months for the present value of P 100,000 for 2 ve with an interest rate of 12% compounded semi-annually. 2. 3. Additional Examples Aling Paring started to deposit P 2,000 quarterly in a fund that pays 5.5% compounded quarterly. How much will be in the fund after 6 years? 1. Given: R =P 2,000 bovl m = 4 t = 6 years i(12) = 5.5% = 0.055 0.055 j = = 0.01375 n = tm = (6)(4) = 24 periods Find: F Solution. F = R[4" -] = 2,000(1+0.01375)24 - 1 0.01375 = 2,000(1.01375)²4 1. 0.01375 = 2,00o1.38784451 – 1 0.01375 = 2,0001.38784451- 1 0.01375 = 2,000으.38784451 0.01375 = 2,000(28.206874) = 56,413.747601
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