  Transverse momentum spectra of $\pi^{\pm}$, $\rm K^{\pm}$ and p($\bar{\rm
p}$) up to $p_{\rm T}$ = 20 GeV/$c$ at mid-rapidity in pp and Pb-Pb collisions
at $\sqrt{s_{\rm NN}}=$ 2.76 TeV have been measured using the ALICE detector at
the Large Hadron Collider. The proton-to-pion and the kaon-to-pion ratios both
show a distinct peak at $p_{\rm T} \approx 3 GeV/c$ in central Pb-Pb
collisions. Below the peak, $p_{\rm T}$ < 3 GeV/$c$, both ratios are in good
agreement with hydrodynamical calculations, suggesting that the peak itself is
dominantly the result of radial flow rather than anomalous hadronization
processes. For $p_{\rm T}$ > 10 GeV/$c$ particle ratios in pp and Pb-Pb
collisions are in agreement and the nuclear modification factors for
$\pi^{\pm}$, $\rm K^{\pm}$ and $\rm p$($\bar{\rm p}$) indicate that, within the
systematic and statistical uncertainties, the suppression is the same. This
suggests that the chemical composition of leading particles from jets in the
medium is similar to that of vacuum jets.
