4. Let {B₁,t> 0} be a standard one-dimensional Brownian motion. (a) Determine Cov(B5 +2B3, B2 + B3). (b) Find a real num

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4 Let B T 0 Be A Standard One Dimensional Brownian Motion A Determine Cov B5 2b3 B2 B3 B Find A Real Num 1 (34.19 KiB) Viewed 30 times

4. Let {B₁,t> 0} be a standard one-dimensional Brownian motion. (a) Determine Cov(B5 +2B3, B2 + B3). (b) Find a real number k € [2, 5] to minimize E[B²B8-kBk]. (c) Determine EV E Bt dBt * + ["Be=1 dB.]. Bt-1 (d) Find a stopping time 7 to minimize E[7² – 27B₁ – 27]. (e) Determine Var (X₂) for the process X₁ = 2 2 [B, ds + [ B² dB