Investomi purchase #1000 bonds at random times of a Poisson process with parameter λ. If the interest rate is r, then the present value of an investment purchased at time t is PV(t) = 1000e^(-rt). Show that E[ΣPV(t)] is the expected total present value of the bonds purchased by the investor.
Added by Cesar L.
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The problem states that Investomi purchases #IOOO bonds at random times of a Poisson process with parameter λ. This means that the arrival times of bond purchases follow a Poisson distribution with rate λ. Show more…
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