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[8] Also see Intertemporal portfolio choice. The theoretical expected wealth after 300 rounds works out to $10,505 ( = 25 ⋅ ( 1. If the amount gained with a win is 1, then the Kelly betting amount is $0, which makes sense in a fair bet with no expected gain. ( 2 p + Δ ) K [ 2 ( 1 − p ) − Δ ] N − K W {\displaystyle (2p+\Delta )^{K}[2(1-p)-\Delta ]^{N-K}W} The heuristic proof for the general case proceeds as follows. Without loss of generality, assume that investor's starting capital is equal to 1. E [ ln ( ( 1 + r ) + ∑ k = 1 n u k ( r k − r ) ) ] . Thus we reduce the optimization problem to quadratic programming and the unconstrained solution is designer bags cyber monday
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