箭头函数语法不能与webpack一起使用？

我在react-redux上制作一个应用程序。我正在使用webpack捆绑和babel进行转译。当我尝试在代码中使用箭头功能时。它给我的错误是：

Module build failed: SyntaxError: Unexpected token (34:15)

};

> handleSubmit = (event) => {
                  ^
  event.preventDefault();

  this.props.dispatch(actions.addTodo(this.state.inputText));

我的webpack配置文件如下所示：

module.exports = {
  devtool: 'inline-source-map',
  entry: [
    'webpack-hot-middleware/client',
    './client/client.js'
  ],
  output: {
    path: require('path').resolve('./dist'),
    filename: 'bundle.js',
    publicPath: '/'
  },
  plugins: [
    new webpack.optimize.OccurenceOrderPlugin(),
    new webpack.HotModuleReplacementPlugin(),
    new webpack.NoErrorsPlugin()
  ],
  module: {
    loaders: [
      {
        test: /\.js$/,
        loader: 'babel-loader',
        exclude: /node_modules/,
        query: {
          presets: ['react', 'es2015', 'react-hmre']
        }
      }
    ]
  }
};

并且我在package.json中使用以下babel软件包：

 "babel-cli": "^6.6.5",
"babel-core": "^6.4.5",
"babel-loader": "^6.2.2",
"babel-preset-es2015": "^6.3.13",
"babel-preset-react": "^6.3.13",
"babel-preset-react-hmre": "^1.1.1",

怎么了？