Problem 4 An EOY Geometric gradient series for 10 years whose initial values at EOY three is P5, 000 and f-6.04% per year thereafter. Find the equivalent uniform gradient amount G over the same period (beginning in year 1 and ending in year 12) if the initial value of the series at EOY one is P4,000. Answer the following questions in determining the value of the gradient amount G. The interest rate is 8% nominal, compounded semi-annually, a. What is i? b. What is PT for the geometric gradient? C. The PT of the uniform (arithmetic) gradient? d. What is the value of G? EOY--End of Year Tenhnolagy Druen by fanon

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 4
An EOY Geometric gradient series for 10 years whose initial values at EOY three is P5, 000 and f-6.04% per year thereafter.
Find the equivalent uniform gradient amount G over the same period (beginning in year 1 and ending in year 12) if the initial
value of the series at EOY one is P4,000. Answer the following questions in determining the value of the gradient amount G.
The interest rate is 8% nominal, compounded seml-annually,
a. What is i?
b. What is PT for the geometric gradient?
C. The PT of the uniform (arithmetic) gradient?
d. What is the value of G?
EOY--End of Year
Terhnolagy Druen by fanon
Transcribed Image Text:Problem 4 An EOY Geometric gradient series for 10 years whose initial values at EOY three is P5, 000 and f-6.04% per year thereafter. Find the equivalent uniform gradient amount G over the same period (beginning in year 1 and ending in year 12) if the initial value of the series at EOY one is P4,000. Answer the following questions in determining the value of the gradient amount G. The interest rate is 8% nominal, compounded seml-annually, a. What is i? b. What is PT for the geometric gradient? C. The PT of the uniform (arithmetic) gradient? d. What is the value of G? EOY--End of Year Terhnolagy Druen by fanon
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