Using evolutionary population synthesis ( EPS ) we present integrated spectral energy distributions ( ISEDs ) and absorption-line indices defined by the Lick Observatory image dissector scanner ( referred to as Lick/IDS ) system , for an extensive set of instantaneous burst single stellar populations ( SSPs ) . The ages of the SSPs are in the range 1 \leq \tau / { Gyr } \leq 19 and the metallicities -2.3 \leq { [ Fe / H ] } \leq + 0.2 . Our models use the rapid single stellar evolution ( SSE ) algorithm of ( ) for the stellar evolutionary tracks , the empirical and semi-empirical calibrated BaSeL-2.0 model of ( ) for the library of stellar spectra and empirical fitting functions of ( ) for the Lick/IDS spectral absorption feature indices . Applying our synthetic Lick/IDS absorption-line indices to the merit function we obtain the age and the metallicity of the central region of M32 , it can be well interpreted with an instantaneous SSP with an age of \sim 6.5 Gyr and a metallicity similar to solar . Applying the derived age and the metallicity from the merit function to a number of index-index diagrams , we find that the plots of H _ { \beta } - Fe 5015 and H _ { \beta } - Fe 5782 are the best index-index diagrams from which we can directly obtain reasonable age and metallicity .