1. ( A financial instrument makes continuous payments for 15 years. The rate of payment at time t is (100+10t) per annum, for 0 ≤ t ≤ 15 and the force of interest at time t is (0.05 +0.005t). (a) Calculate the present value of the annuity at time t = 0. (b) Calculate the accumulated value of the annuity at the end of 15 years.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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A financial instrument makes continuous payments for 15 years. The rate of payment at time t is
(100+10t) per annum, for 0 ≤ t ≤ 15 and the force of interest at time t is (0.05 +0.005t).
(a) Calculate the present value of the annuity at time t = 0.
(b) Calculate the accumulated value of the annuity at the end of 15 years.
Solution:
Transcribed Image Text:A financial instrument makes continuous payments for 15 years. The rate of payment at time t is (100+10t) per annum, for 0 ≤ t ≤ 15 and the force of interest at time t is (0.05 +0.005t). (a) Calculate the present value of the annuity at time t = 0. (b) Calculate the accumulated value of the annuity at the end of 15 years. Solution:
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