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Past exam of the mathematics course of the University of Cambridge / 2004 / iii / Paper 35 / 1 / e / Solution

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2004 iii Paper 35 1 e
Created 2026-10-03 Updated 2026-10-14  0 By others on same topic  0 Discussions Create my own version
The expected return of the market portfolio is the weighted mean of the asset returns:
mM​=3810⋅13+17⋅13+24⋅12​=38639​.​
(1)
For its variance, use Σz=d rather than expanding nine terms:
zTΣz=zTd=117⋅13+14⋅13+21⋅12​=11525​,σM2​=(38/11)2525/11​=3825775​.
(2)
Hence its return standard deviation is
σM​=385231​​.​
(3)
Means and standard deviations here are both measured in percentage points, consistently with the given covariance matrix.

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