Talk:State prices#Merge proposal into AD model

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There are several names for the same shit, state price density is also called pricing kernel, or state price deflator, or marginal rate of substitution process. Just for convenience, I list them here. Any more?

The usual 3 presentations

• ${\displaystyle \pi _{t}S_{t}=E_{t}\pi _{t+1}S_{t+1}}$

• ${\displaystyle D_{t}Z_{t}S_{t}=E_{t}D_{t+1}Z_{t+1}S_{t+1}}$

• ${\displaystyle D_{t}S_{t}=E_{t}^{Q}D_{t+1}S_{t+1}}$

where ${\displaystyle D_{t}}$ is the discount process and Z is to change the measure, so the state price density ${\displaystyle \pi _{t}=D_{t}Z_{t}}$. In discrete state case, ${\displaystyle S_{t}=\sum _{\omega _{t+1}}\pi _{t+1}\left(\omega _{t+1}\right)P_{t}\left(\omega _{t+1}\right)S_{t+1}\left(\omega _{t+1}\right)=\sum _{\omega _{t+1}}q_{t}\left(\omega _{t+1}\right)S_{t+1}\left(\omega _{t+1}\right)}$

Jackzhp (talk) 21:01, 8 July 2010 (UTC)[reply]

  Y Merger complete. as per WP:MERGE Kautilyalundit (talk) 08:14, 29 March 2023 (UTC)[reply]

State prices are a feature of the Arrow-Debreu model, and most of the content here is redundant and should be integrated into that page. Kmfrick (talk) 16:06, 10 February 2025 (UTC)[reply]

Support, agreed. Quarl ^(talk) 22:09, 15 February 2025 (UTC)[reply]

Support: Seems like a reasonable continuation of the previous merge from Arrow security. Pragmatic Puffin (talk) 10:27, 27 April 2025 (UTC)[reply]

Oppose: If the focus of the article was actually on State prices, then I'd agree with the merge. However, the contents are actually focussed on state-price securites. Hence, I suggest that rather than merge, this articles should be moved to State-price security (or one of its synonyms). Klbrain (talk) 15:49, 22 June 2025 (UTC)[reply]