Quote:
Originally Posted by picoman
suppose you're a conservative book, which means that you want to have equal action on both side of the game to minimize risk. how would you balance the book when people bet a parlay?
suppose the 2 team parlay odds for two -110 events is +260
two events
event 1:
team a -110
team b -110
event 2:
team c -110
team d -110
someone just bet 10k on a parlay: team a & team c to win 26k
Question is, how much action on team b and team d you want to attract by moving the lines?
this is what i have in mind. 2 team parlay has 25% chance of winning. so there is 25% chance you have to payout 26k. so you only want 6.5k worth of action on team b and team d to balance out the risk. which comes to that you want to attract 3.25k action on team and team d each.
does this seem right?
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There's of course no way to perfectly balance risk by solely betting the two singles.
If we ignore vig (+100 on the singles and +300 on the parlay) and assume hedging to be costless, a risk-averse book would simply trade out some of its loss in the case of a A/C victory such that the book would face a loss of $2,500 under A/C or B/D and a gain of $2,500 in either of the remaining 2 cases. Without the book having the ability to make contingent bets of its own that would be the best it could do. (If we chose not ignore vig then we'd need to specify a utility function to relate risk to expected return.)
The topic of risk management is certainly a fascinating one but it's difficult to come to any meaningful conclusions without a better a understanding of the book in question's attitude towards risk. A book might choose to implement some version of Kelly to manage its risk, or it may simply choose to control it's max exposure to any one event, or it might just choose to fly by the seat of its pants, fleeing from its obligations if all goes to hell.