Let $z _ { 1 } = 2 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right)$

question 9

Essay

Let $z _ { 1 } = 2 \left( \cos \frac { 5 \pi } { 6 } + i \sin \frac { 5 \pi } { 6 } \right)$ and $z _ { 2 } = 5 \left( \cos\frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$ . Find $Z _ { 1 } Z _ { 2 }$

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Definitions:

Convertible Bond

A type of bond that can be converted into a predetermined amount of the company's equity at certain times during its life, usually at the discretion of the bondholder.

Serial Bond

A serial bond is a type of bond that matures in installments over a period rather than in a single lump-sum at the end of its term.

Fiscal Year

An accounting period of 12 months used by organizations for financial reporting and budgeting, distinct from the calendar year.

Premium Amortization

The process of gradually reducing the premium paid over the par value of a bond or other financial instrument over its life.