Multiplicative Payoffs

Suppose you find a new game in your neighborhood casino. It costs $100 to play. Your bet is put into the pot. Your payoff is determined by 10 consecutive coin tosses.

• After each heads the pot increases 50%.
• After each tails the pot decreases 40%.

After 10 tosses, whatever's in the pot is yours.

You perform some quick calculations and find the expected value of the pot at the end of the game is about $162.88.

Would you play?