AWS IAM Profile with all the required permissions for deploying a Lambda + API Gateway via Cloudformation

policy.json

{
    "Version": "2012-10-17",
    "Statement": [
        {
            "Sid": "VisualEditor0",
            "Effect": "Allow",
            "Action": [
                "s3:PutObject",
                "s3:CreateMultipartUpload",
                "s3:AbortMultipartUpload"
            ],
            "Resource": "arn:aws:s3:::<NAME_OF_YOUR_S3_BUCKET>"
        },
        {
            "Effect": "Allow",
            "Action": [
                "apigateway:GET",
                "apigateway:POST",
                "apigateway:DELETE",
                "iam:AttachRolePolicy",
                "iam:CreateRole",
                "iam:DeleteRole",
                "iam:DeleteRolePolicy",
                "iam:DetachRole",
                "iam:DetachRolePolicy",
                "iam:GetRole",
                "iam:ListInstanceProfilesForRole",
                "iam:PassRole",
                "iam:PutRolePolicy",
                "lambda:AddPermission",
                "lambda:*",
                "logs:CreateLogGroup",
                "logs:DeleteLogGroup",
                "logs:DescribeLogGroups",
                "logs:DescribeLogStreams",
                "logs:FilterLogEvents"
            ],
            "Resource": "*"
        }
    ]
}