Thus, the côst of Activity 7: Give Me the Present Value of the following General Annuities. 1. Quarterly payment of P 15,000 for 10 years with interest rate of 8% compounded annually. 2. Annual payments ofP 20,500 with interest rate of 8.5% compounded semi- annually for 3 years. 3. Semi-annual payments of P 150,000 with interest rate of 8% compounded annually for 10 years.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve for activity no.7
F, = F2
(12)
= P (1 + (2),
P (1 +
(1 + 12
(1+009,2
(1 +
12
C12)
12
(1 + 0.045)2
EC12)
1 +
[(1.045)²]1/12
12
(12)
= (1.045)/6-1
12
i(12)
= 1.00736312 - 1
12
(12)
=j = 0.00736312
12
J = 0.00736312%
Thus, the interest rate
per monthly payment interval is 0.00736312 or
0.736312%.
(2) Apply the formula in finding the present value of an ordinary annuity using the
computed equivalent rate
j = 0.00736312.
P = R
1-(1+/)-*
= 3,000
[1-(1+0.00736312)-6
0.00736312
= 3,000 0.04306218]
0.082432
= 3,000(5.848360)
utsVeh e
= 17,545.081433
P = 17,545.08
Thus, the cost of the TV set is P 17,545.08.
Activity 7: Give Me the Present Value of the following General
Annuities.
1. Quarterly payment of P 15,000 for 10 years with interest rate of 8%
compounded annually.
2. Annual payments of P 20,500 with interest rate of 8.5% compounded semi-
annually for 3 years.
3. Semi-annual payments of P 150,000 with interest rate of 8% compounded
annually for 10 years.
A cash flow is a term that refers to payments received (cash inflows)
or payments or deposits made (cash outflows). Cash inflows can be
represented by positive numbers and cash outflows can be
represented by negative numbers.
The fair market value or economic value of a cash flow (payment
stream) on a particular date refers to a single amount that is
equivalent to the value of the payment stream at that date. This
particular date is called the focal date.
17
Transcribed Image Text:F, = F2 (12) = P (1 + (2), P (1 + (1 + 12 (1+009,2 (1 + 12 C12) 12 (1 + 0.045)2 EC12) 1 + [(1.045)²]1/12 12 (12) = (1.045)/6-1 12 i(12) = 1.00736312 - 1 12 (12) =j = 0.00736312 12 J = 0.00736312% Thus, the interest rate per monthly payment interval is 0.00736312 or 0.736312%. (2) Apply the formula in finding the present value of an ordinary annuity using the computed equivalent rate j = 0.00736312. P = R 1-(1+/)-* = 3,000 [1-(1+0.00736312)-6 0.00736312 = 3,000 0.04306218] 0.082432 = 3,000(5.848360) utsVeh e = 17,545.081433 P = 17,545.08 Thus, the cost of the TV set is P 17,545.08. Activity 7: Give Me the Present Value of the following General Annuities. 1. Quarterly payment of P 15,000 for 10 years with interest rate of 8% compounded annually. 2. Annual payments of P 20,500 with interest rate of 8.5% compounded semi- annually for 3 years. 3. Semi-annual payments of P 150,000 with interest rate of 8% compounded annually for 10 years. A cash flow is a term that refers to payments received (cash inflows) or payments or deposits made (cash outflows). Cash inflows can be represented by positive numbers and cash outflows can be represented by negative numbers. The fair market value or economic value of a cash flow (payment stream) on a particular date refers to a single amount that is equivalent to the value of the payment stream at that date. This particular date is called the focal date. 17
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