  We study predictions for the reaction $e^+e^- \to {\bar \nu} \nu (n \gamma)$.
The complete one-loop corrections are taken into account and higher order
contributions, in particular those for the observed real photons, are added
whenever necessary. The event generator \KK MC, a general-purpose Monte Carlo
generator for the process $e^+e^- \to \bar f f n\gamma$ based on the method of
exclusive exponentiation, is used as the environment. We extend its
applicability to the process $e^+e^- \to \bar \nu_l \nu_l n\gamma$,
$l=e,\mu,\tau$, where the observation of at least a single $\gamma$ is
required. The exponentiation is implemented in much the same way as for the
s-channel process alone. In particular, all photonic effects present in the
case of W exchange, which {\it cannot} be included in the s-channel
exponentiation scheme, are calculated to a finite order only. The real hard
photon matrix element is calculated up to ${\cal O} ({\alpha^2})$. Leading
logarithmic contributions of the two-loop corrections and one-loop photonic
corrections accompanying real single photon emission are included. The
electroweak corrections are calculated with the DIZET library of the ZFITTER
package. Numerical tests and predictions for typical observables are presented.
