Financial economics/Tutorials: Difference between revisions

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::::r&nbsp;=&nbsp;''r''<sub>f&nbsp;</sub>+&nbsp;β(''r''<sub>m&nbsp;</sub>-&nbsp;''r''<sub>f</sub>)
::::r&nbsp;=&nbsp;''r''<sub>f&nbsp;</sub>+&nbsp;β(''r''<sub>m&nbsp;</sub>-&nbsp;''r''<sub>f</sub>)


: where
where
   
   
:::''r''<sub>f&nbsp;is the risk-free rate of return
''r''<sub>f&nbsp;is the risk-free rate of return


:::''r''<sub>m&nbsp; is the equity  market rate of return  
''r''<sub>m&nbsp; is the equity  market rate of return  
 
:::and ''r''<sub>m&nbsp;</sub>-&nbsp;''r''<sub>f</sub>  is known as the ''equity risk premium"
 
:::


and ''r''<sub>m&nbsp;</sub>-&nbsp;''r''<sub>f</sub>  is known as the ''equity risk premium"


==Gambler's ruin==
==Gambler's ruin==

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Tutorials relating to the topic of Financial economics.

The Capital asset pricing model

The rate of return,r, from an asset is given by

r = r+ β(rrf)

where

rf is the risk-free rate of return

rm  is the equity market rate of return

and rrf is known as the equity risk premium"

Gambler's ruin

If q is the risk of losing one throw in a win-or-lose winner-takes-all game in which an amount c is repeatedly staked, and k is the amount with which the gambler starts, then the risk, r, of losing it all is given by:

r  =  (q/p)(k/c)

where p  =  (1 - q),  and q  ≠  1/2

(for a fuller exposition, see Miller & Starr Executive Decisions and Operations Research Chapter 12, Prentice Hall 1960) Small TextSmall TextSmall TextSmall Text