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We propose a novel method to estimate   M  * / M  BH  , the ratio of stellar mass  ( M  * )  to black hole mass  ( M  BH )  at various redshifts using two recent observational results: the correlation between the bolometric luminosity of active galactic nuclei (AGN) and the star formation rate (SFR) in their host galaxies, and the correlation between SFR and   M  *   in star‐forming (SF) galaxies. Our analysis is based on   M  BH   and   L  bol   measurements in two large samples of type I AGN at   z ≃ 1  and  2 , and the measurements of   M  * / M  BH   in 0.05 &lt;  z  &lt; 0.2 red galaxies. We find that   M  * / M  BH   depends on   M  BH   at all redshifts. At   z ≃ 2,  M  * / M  BH ∼ 280  and ∼40 for   M  BH = 10 8   and   M  BH = 10 9  M ⊙  , respectively.   M  * / M  BH   grows by a factor of ∼4–8 from   z ≃ 2  to 0 with extreme cases that are as large as 10–20. The evolution is steeper than reported in other studies, probably because we treat only AGN in SF hosts. We caution that estimates of   M  * / M  BH   evolution which ignore the dependence of this ratio on   M  BH   can lead to erroneous conclusions.

The evolution of M * / M BH between z = 2 and z = 0