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DSC1630 ASSIGNMENT 2 SEMESTER 1 SOLUTIONS 2022

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DSC1630-INTRODUCTORY
FINANCIAL MATHEMATICS
2022

SEMESTER 1
ASSIGNMENT 02 SOLUTIONS
UNIQUE NUMBER 185257
Structural Engineer
M.Sc., B.Sc. Hons. Civil
Engineering Moscow, Russia

, 1. 𝑈𝑠i𝑛𝑔 𝐻𝑃 𝐶𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑜𝑟

¬ 𝐶𝐿𝑅 𝐴𝐿𝐿

6 000 ± 𝑃𝑀𝑇

8,94 𝐼/𝑌𝑅

12 ¬ 𝑃/𝑌𝑅

6 ¬ × 𝑃/𝑌𝑅

𝑁 = 72

𝑃𝑅𝐸𝑆𝑆 𝐹𝑉 = 𝑅568 948 𝑂𝑝𝑡i𝑜𝑛 [4]

2. 𝑆 = 𝑃𝑒𝑐𝑡

𝑆
𝑃=
𝑒𝑐𝑡
𝑃 = 𝑆𝑒−𝑐𝑡
57
−0,08×
𝑃 = 45 946 𝑒 12

𝑃 = 𝑅31 420, 70 𝑂𝑝𝑡i𝑜𝑛 [4]

3. 𝑈𝑠i𝑛𝑔 𝐻𝑃 𝐶𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑜𝑟

¬ 𝐶𝐿𝑅 𝐴𝐿𝐿

400 ± 𝑃𝑀𝑇

40 000 𝐹𝑉

16 𝐼/𝑌𝑅

4 ¬ 𝑃/𝑌𝑅

𝑃𝑅𝐸𝑆𝑆 𝑁 = 41,0354 ≅ 41 𝑞𝑢𝑎𝑟𝑡𝑒𝑟𝑠 𝑂𝑝𝑡i𝑜𝑛 [2]

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