Convert variable to type only known at run-time?

foreach (var filter in filters)
{
    var filterType = typeof(Filters);
    var method = filterType.GetMethod(filter, BindingFlags.IgnoreCase | BindingFlags.Public | BindingFlags.Static);
    if (method != null)
    {
        var parameters = method.GetParameters();
        Type paramType = parameters[0].ParameterType;
        value = (string)method.Invoke(null, new[] { value });
    }
}

How can I cast value to paramType? value is a string, paramType will probably just be a basic type like int, string, or maybe float. I'm cool with it throwing an exception if no conversion is possible.