We study the problem of stopping an $\alpha$-Brownian bridge as close as possible to its global maximum. This extends earlier results found for the Brownian bridge (the case $\alpha=1$). The exact behavior for $\alpha$ close to $0$ is investigated.
Stopping spikes, continuation bays and other features of optimal stopping with finite-time horizon
Optimal stopping for the exponential of a Brownian bridge
Optimal stopping of a Brownian bridge with an unknown pinning point
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