We have paid attention to the ground state of the high-temperature magnetic phase of YbInCu
4 which exhibits a first-order valence transition at 42 K. The high-temperature phase, which shows Curie-Weiss paramagnetism of Yb
3+, is stabilized down to zero temperature by the application of pressure and/or substitution of Y for Yb. We have measured magnetization of Yb
0.8Y
0.2InCu
4 under high pressure in the low temperature ranges down to 0.6 K and could observe suppression of the valence transition and occurrence of ferromagnetism at the same time. The ferromagnetism is characterized by a low Curie temperature of 1.8 K and very small spontaneous magnetization of 0.067 μ
B/Yb.
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