Context : High-velocity halo stars provide important information about the properties of the extreme Galactic halo .
The study of unbound and bound Population II stars permits us to better estimate the mass of the halo .

Aims : We carried out a detailed spectroscopic and kinematic study and have significantly refined the distance and the evolutionary state of the star .

Methods : Its atmospheric parameters , chemical abundances and kinematical properties were determined using high-resolution optical spectroscopy and employing the local-thermodynamic-equilibrium model atmospheres of Kurucz and the spectral analysis code moog .

Results : We found that CD-62 \degr 1346 is a metal-poor ( [ Fe/H ] = - 1.7 ) evolved giant star with T _ { eff } = 5300 K and \log g = 1.7 .
The star exhibits high carbon and s-element abundances typical of CH stars .
It is also a lead star .
Our kinematic analysis of its 3D space motions shows that this star has a highly eccentric ( e = 0.91 ) retrograde orbit with an apogalactic distance of \sim 100 kpc , exceeding by a factor of three the distance to the Magellanic Clouds .
The star travels with very high velocity relative to the Galactocentric reference frame ( V _ { GRF } = 570 km s ^ { -1 } ) .

Conclusions : CD-62 \degr 1346 is an evolved giant star and not a subgiant star , as was considered earlier .
Whether it is bound or unbound to the Galaxy depends on the assumed mass and on the adopted Galactic potential .
We also show that the star HD 5223 is another example of a high-velocity CH star that exceeds the Galactic escape velocity .
Possible origins of these two high-velocity stars are briefly discussed .
CD-62 \degr 1346 and HD 5223 are the first red giant stars to join the restricted group of hypervelocity stars .