2. Algebra Flashcards

1
Q

If R is very small then ln(1+R) is…

A

very close to R

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2
Q

If R is larger than simple returns and log returns then…

A

ln (1+R) can be different

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3
Q

Matrices can only be multiplied if they are…

A

conformal, inner dimensions agree (c = r) –> (r x c)(c x r)

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4
Q

How to multiply matrices together?

A
  • Dot product
  • Product of first row, first column = 1st number
  • Product of first row , second column
  • Product of second row, first column
  • Product of second row, second column
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5
Q

Matrix x its inverse =

A

i = identity matrix (1 on diagonal, 0 on diagonal)

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6
Q

Arithmetic returns

A

P1/P0 - 1

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7
Q

Log Returns

A

ln(P1/P0)
*continuously compounded returns –> compounding frequency does not matter
* time additive
* considered to be normally distributed

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