Without Using a Calculator, Explain Why $2 ^ { \pi }$

question 79

Essay

Without using a calculator, explain why $2 ^ { \pi }$ must be greater than 8 but less than 16.

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Definitions:

European Options

Financial derivatives that give the holder the right to buy or sell the underlying asset at a specified price only at the expiration date.

Black-Scholes Model

A mathematical model of the market for an equity, in which the price of the equity is modeled as a stochastic process, used primarily to price European style options.

Callable Bond

A callable bond is a type of bond that gives the issuer the right to repay the bond before its maturity date, at a predetermined call price.

Leveraged Firm

A company that uses borrowed funds or debt to finance its operations or acquisitions, aiming to increase potential returns to equity owners.