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Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 211 / 5 / b / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2019 iii Paper 211 5 b
2026-10-03  0 By others on same topic  0 Discussions Create my own version
The one-period spot interest rate is defined by
1+rt​=Ptt+1​1​,
(1)
and the bank account by
B0​=1,Bt​=∏s=0t−1​(1+rs​).
(2)
A probability measure Q equivalent to the physical measure is a risk-neutral measure when every discounted zero-coupon bond price
Bt​PtT​​,0≤t≤T,
(3)
is a Q-martingale. Equivalently,
PtT​=Bt​EQ[BT−1​∣Ft​].
(4)

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