opinion: GRONER, Associate Justice.
  The appeal in this ease involves income taxes for the year 1918 in the amount of $23,-945.57, of which $3,895.67 have been paid, and is taken from the decision of the Board of Tax Appeals.
  The board found the facts substantially as follows: On February 7, 1924, the commissioner notified the taxpayer that he proposed to assess $42,702.50 additional tax for 1918. He asked for a waiver of the statute of limi- ' tations as a condition of not making this as-sessineat. The taxpayer protested the assessment and sent in a waiver dated February 18, 1924, extending the period of assessment and collection for one year. The proposed tax was nevertheless assessed March 8, 1924, and in that same month the taxpayer filed a claim for an entire abatement. The first waiver carried tbe period of extension to February 18, 1925. Subsequent waivers were filed as follows: February 18, 1926; November 18, 1926; December 15, 3927; October 17,1928; September 27, 1929. Tbe board found that in each instance tbe waiver was requested by the respondent and that it was pursuant to these requests that waivers were signed and sent in by the petitioner. Petitioner, however, contends that the waivers were invalid in that they were not personally signed by the Commissioner of Internal Revenue. The waivers in question, as in the case of Fleitmann & Crimmins, Executors, v. Commissioner, 62 App. D. C. 88, 65 F.(2d) 176 (decided this day), were signed in the commissioner’s name by subordinates in the department who were duly authorized in respect thereto by their immediate superiors, who in. turn had been delegated that authority by the commissioner. There was a rule of the department which required all waivers received from taxpayers to be referred to the head of the division in which the ease was ihen under consideration, and this head of Ihe division was required to determine whether the waiver was acceptable.
  The head of division referred to was always some one who had been specifically authorized by the commissioner in writing to sign his name. The practice of the department under this rule was to have the head of division pass upon the acceptability of the waiver and then to authorize a subordinate to sign the commissioner’s name in evidence of approval. In the ease of Fleitmann & Crimmins, Executors, v. Commissioner, supra, we said we would assume, nothing appearing to the contrary, that the rule had been duly observed, and held that the signing of the commissioner’s name was a ministerial act and that when a duly authorized deputy had exercised the discretionary authority to accept or reject the waiver, the mere physical act of signing the waiver was no more than carrying out in a ministerial way the discretion which had already been exercised, and was, therefore, a valid act. All of the reasons which we set out as sustaining the decision of the Board of Tax Appeals in that case apply in this, and it would serve no useful purpose to repeat them.
  An additional point made by petitioner in this case is that as to the second and third waivers a statement in the commissioner’s letter to the effect that the period of limitations was about to expire was in point of fact incorrect since the period had already expired, but we think this cannot change the result. The fact that the statute of limitations was then available to the taxpayer does not invalidate subsequently executed waivers. See Stange v. United States, 282 U. S. 270, 51 S. Ct. 145, 75 L. Ed. 335. Besides this, there is nothing to show that the taxpayer in executing these subsequent waivers was induced or misled by the commissioner’s letter. As a matter of fact, he succeeded as a result of this in having a tax liability then fixed at forty-two thousand and odd dollars reduced nearly 50 per cent.
  The decision of the Board of Tax Appeals is affirmed.
  Affirmed.
instruction: What follows is an opinion from a United States Court of Appeals. You will be asked a question pertaining to issues that may appear in any civil law cases including civil government, civil private, and diversity cases. The issue is: "Did the court's ruling on an issue arising out of an alternative dispute resolution process (ADR, settlement conference, role of mediator or arbitrator, etc.) favor the appellant?" Answer the question based on the directionality of the appeals court decision. If the court discussed the issue in its opinion and answered the related question in the affirmative, answer "Yes". If the issue was discussed and the opinion answered the question negatively, answer "No". If the opinion considered the question but gave a mixed answer, supporting the respondent in part and supporting the appellant in part, answer "Mixed answer". If the opinion does not discuss the issue, or notes that a particular issue was raised by one of the litigants but the court dismissed the issue as frivolous or trivial or not worthy of discussion for some other reason, answer "Issue not discussed". If the opinion considered the question but gave a "mixed" answer, supporting the respondent in part and supporting the appellant in part (or if two issues treated separately by the court both fell within the area covered by one question and the court answered one question affirmatively and one negatively), answer "Mixed answer". If the opinion either did not consider or discuss the issue at all or if the opinion indicates that this issue was not worthy of consideration by the court of appeals even though it was discussed by the lower court or was raised in one of the briefs, answer "Issue not discussed".