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All Topics Algebra Calculus Number Theory Combinatorics Applied Math
Applied Math
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A4 Paper Ratio

A4 paper keeps ratio when folded in half. If long side is 1, what …

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Applied Math
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Continuous Compounding

An initial capital is invested at a continuous compounding interest rate $r$. Provide the …

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Applied Math
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Parametric Value at Risk (VaR)

A portfolio has a value of 5,000,000 USD. The daily portfolio volatility is 1.6%. …

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Applied Math
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Put–Call Parity (European Options)

The price of a European call option is 12 USD. The stock price is …

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Applied Math
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Shannon Entropy

A discrete stochastic process produces four possible states with probabilities $P(X) = \{\frac{1}{2}, \frac{1}{4}, …

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