• We are pleased to announce that the winner of our Feedback Prize Draw for the Winter 2024-25 session and winning £150 of gift vouchers is Zhao Liang Tay. Congratulations to Zhao Liang. If you fancy winning £150 worth of gift vouchers (from a major UK store) for the Summer 2025 exam sitting for just a few minutes of your time throughout the session, please see our website at https://www.acted.co.uk/further-info.html?pat=feedback#feedback-prize for more information on how you can make sure your name is included in the draw at the end of the session.
  • Please be advised that the SP1, SP5 and SP7 X1 deadline is the 14th July and not the 17th June as first stated. Please accept out apologies for any confusion caused.

sept 2004 Q 10

S

skhurana

Member
Hi

This question asks to prove that the given process is a martingale. Looking at the solution it says to use the MGF of normal distribution and then find the expectation.

I am confused at how the MGF is used specifically how the value (-2u)^2 comes in the answer.

also B(t) - B(u) has a normal distribution so what exactly is the value of t as mentioned in the normal distribution MGF.


so the MGF says M(t) = ..... and I am trying to find what is the value of t in
B(t) - B(u)

Many thanks in advance.

Is somebody else finding these 2 chapters 8 and 9 very confusing? I think every question I am tryingto do... I just am not sure what method i should be applying.
I have passed all the previous exams in first attempt and only used online tutorials and never touched the core reading. And I am wondering if this time I should refer the core reading. Any suggestion would be very helpful.
 
Back
Top