OPINION
HAMILTON, Circuit Judge:■ Thomas Wilkinson, III (Wilkinson) and Edward Conk (Conk) (collectively the Defendants) appeal their convictions and sentences following a jury trial on conspiracy charges, money laundering charges, and various related fraud charges, including wire fraud and bank fraud, stemming from their operation of a company purportedly in the business of financing the accounts receivable of physicians. Conk was also convicted on one count of perjury.
With respect to their money laundering convictions, the Defendants seek reversal on two grounds: (1) the. district court committed plain error under Federal Rule of Criminal Procedure 52(b) by failing to instruct the jury that the government had to prove an interstate commerce nexus, and (2) the evidence is insufficient to support the jury’s findings, as to several essential elements. Conk seeks reversal of. his perjury conviction on two grounds: (1) the district court committed plain error by instructing the jury on the wrong perjury statute, and (2) the district court committed plain error by removing the element of materiality from the jury. Conk seeks reversal of his bank fraud conviction on the basis of insufficiency of the evidence. The Defendants both seek reversal of their conspiracy and wire fraud convictions on the ground that the district court erroneously admitted two portions of a summary chart exhibit known as “Exhibit MF-4.” Finally, the Defendants challenge their sentences on two grounds: (1) the district court committed error by refusing to grant them down ward departures in their sentences, and (2) the district court failed to make specific findings with respect to its application of the United States Sentencing Guidelines to some of their convictions. For reasons that follow, wé affirm'the Defendants’ convictions and sentences.
I.
Because the Defendants challenge the sufficiency of the evidence on numerous counts for. which they were convicted, we present the facts in the light most favorable to the *218government, drawing all reasonable inferences in its favor. See United States v. Burgos, 94 F.3d 849, 862 (4th Cir.1996), cert. denied, — U.S. -, 117 S.Ct. 1087, 137 L.Ed.2d 221 (1997). The evidence at trial focused on the Defendants’ operation of Medical Payment Systems, Inc. (MPS) in Richmond, Virginia, primarily from the fall of 1988 to the summer of 1991. The Defendants, who were both educated and experienced businessmen, started MPS in the fall of 1988 with the purported objective of lending money to physicians in exchange for a perfected security interest in the physicians’ accounts receivable.
To fund this purported objective, the Defendants borrowed money from a Maryland company named Health Line, Inc. (HLI), a subsidiary of Blue Cross Blue Shield of Maryland. Based on representations by the Defendants that MPS was in the business of financing the accounts receivable of physicians, HLI granted MPS a five million dollar line of credit in November 1988. The written loan agreement between MPS and HLI specified that MPS could only use draws on the line of credit to make loans to physicians and that the loans had to be secured by security interests in the accounts receivable of those physicians.
The evidence at trial showed that at the time the Defendants secured the line of credit from HLI, the Defendants intended to use most of the money to fund several of their own separate non-medical businesses that were in poor financial health. The Defendants acted on their illicit intent, ultimately obtaining in excess of three million dollars from HLI through wire transfers by submitting dummy loan requests to HLI via facsimile. The dummy loan requests falsely showed that the funds requested would be secured by certain accounts receivable of particular physicians. These wire transfers and facsimile transmissions were the predicates for seven counts of wire fraud. See 18 U.S.C. § 1343. The Defendants’ transfers of line of credit funds through MPS to their separate businesses were the predicates for five counts of money laundering (the- Promotion Counts). See 18 U.S.C. § 1956(a)(1)(A)®.
In order to conceal their fraudulent scheme on MPS’s accounting records, the Defendants gave their separate non-medical businesses bogus names that sounded like the names of actual medical practices. For example, the Defendants gave Day Dream Publishing Company (Day Dream Publishing) the name “American Surgical, Inc.” Conk was a substantial part owner of Day Dream Publishing, which was headquartered in California. For a second example, the Defendants gave Hawthorne Construction Excavators, Inc. the name “Health Emergency, Inc.” Hawthorne Construction Excavators, Inc. was a Virginia construction company owned by Wilkinson.
By December 1989, the Defendants had nearly exhausted the five million dollar line of credit, and, under the terms, of the loan agreement, MPS needed to make substantial interest payments. Thus, in order to continue to promote their scheme to defraud, the Defendants caused their various separate businesses to transfer funds into MPS’s bank account at Sovran Bank in Richmond, Virginia. MPS would then use the money to make interest payments to HLI. The transfers from the separate businesses to MPS’s account at Sovran Bank were the predicates for six additional money laundering counts (the Concealment Counts). See 18 U.S.C. § 1956(a)(1)(B)®.
Conk was charged with one count of bank fraud premised on the following facts and circumstances. See 18 U.S.C. § 1344. Conk managed Day Dream Publishing directly and through his son, Chip Conk. The company began having cash flow problems in the latter part of 1988. By early March 1989, the cash flow problems had not improved and, as a result, the Defendants funneled $80,000 from MPS to Day Dream Publishing.
On March 27,1989, the Bank of Montecito, a federally insured bank in the State of California, extended credit to Day Dream Publishing in the amount of 1.65 million dollars through a line of credit, evidenced by a note (the Note). The Note had an expiration date of May 1, 1989. The Note was secured by a blanket but revolving security interest in all of Day Dream Publishing’s property, including purchase orders, accounts receivable, and *219the proceeds thereof. The terms of the agreement creating the blanket security interest provided that Day Dream Publishing would not, without the prior written consent of the Bank of Monteeito, encumber or otherwise dispose of any collateral or any interest in the collateral. The Bank of Monteeito did not bear the entire risk of loss on the Note, because a man named Mr. Tobes purchased half of the Note from the Bank of Monteeito.
May 1, 1989 came and went without Day Dream Publishing satisfying the Note. The Bank of Monteeito, however, did not call the loan in hopes of repayment in the near future. The Bank of Monteeito continued to monitor the financial health of Day Dream Publishing by reviewing the financial reports submitted by Day Dream Publishing.
In August 1989, Day Dream Publishing landed a large purchase order from the Big B drug store chain to print calendars containing coupons. Unfortunately, Day Dream Publishing did not have sufficient funds to pay for the design and production of the order. Conk came to the rescue by borrowing an additional $316,000 for Day Dream Publishing from MPS, $116,000 of which went from MPS’s account with Sovran Bank straight to the printer that Day Dream Publishing had hired to print the calendars. In early September 1989, the Bank of Monteeito expressly extended the maturity date of the Note to January 3,1990.
After receiving the calendars, Big B issued Day Dream Publishing a cheek, dated November 15, 1989, for $410,425.56 as payment for the calendars. Bather than depositing the check into Day Dream Publishing’s account, Conk caused Day Dream Publishing’s comptroller to endorse the check in favor of MPS as repayment on the loans from MPS. Conk did not obtain permission from the Bank of Monteeito to divert the proceeds of the Big B account receivable to MPS or otherwise inform the Bank of Monteeito that it was in receipt of the “Big B check.” Day Dream Publishing eventually paid the Note in full.1
Turning back to HLI’s relationship with MPS, in December 1990, HLI hired án outside auditing firm to evaluate the integrity of its collateral. HLI took this step only after it tried for several months without success to obtain certain information from MPS regarding the condition of its collateral. The Defendants stonewalled the efforts of the auditing firm by refusing it access to MPS’s books and records. HLI became suspicious and called the loan approximately six months later. When MPS failed to satisfy the outstanding amount of the loan, HLI filed a civil suit against MPS and the Defendants in the United States District Court for the Eastern District of Virginia. During a deposition in that case, Conk falsely denied knowledge that “American Surgical” was the fictitious name used in MPS’s books for Day Dream Publishing. This statement was the subject of the count of perjury against Conk. HLI ultimately obtained a 5.3 million dollar judgment against MPS and the Defendants in July 1991.
On June 21, 1995, a federal grand jury in the United States District Court for the Eastern District of Virginia returned a twenty-four count indictment against the Defendants. Count 1 charged the Defendants with conspiracy to defraud the United States in violation of 18 U.S.C. § 371. Counts 2 through 10 charged the Defendants with wire fraud in violation of 18 U.S.C. § 1341. Count 11 charged Conk with bank fraud in violation of 18 U.S.C. § 1344: Counts 12 through 17 charged the Defendants with laundering money with the intent to promote the carrying on of wire fraud in violation of 18 U.S.C. § 1956(a)(l)(A)(i). Counts 18 through 23 charged the Defendants with laundering *220money with the knowledge that the transactions were designed in whole or in part to conceal or disguise the nature, location, source, ownership or control of the proceeds involved in violation of 18 U.S.C. § 1956(a)(l)(B)(i). Count 24 charged Conk with perjury in violation of 18 U.S.C. § 1623.
A jury acquitted Wilkinson and Conk on Counts 10,15, 22, and 23 and convicted them on the remaining counts. At sentencing, the Defendants sought downward departures in their sentences on the ground that the facts establishing their wire fraud convictions supplied the basis for their money laundering convictions. The district court refused to grant the Defendants downward departures, sentencing Wilkinson to 87 months’ imprisonment and Conk to 99 months’ imprisonment. The district court also ordered that the Defendants were joint and severally liable for $1,662,658 in restitution. The Defendants noted a timely appeal.
II.
The Defendants first challenge the sufficiency of the evidence to support their money laundering convictions under 18 U.S.C. §§ 1956(a)(l)(A)(i) and 1956(a)(l)(B)(i). We must sustain these convictions if there is substantial evidence to support them when the evidence and reasonable inferences from it are viewed in the light most favorable to the government. See Glasser v. United States, 315 U.S. 60, 80, 62 S.Ct. 457, 469-70, 86 L.Ed. 680 (1942); Burgos, 94 F.3d at 862. “[I]n the context of a criminal action, substantial evidence is evidence that a reasonable finder of fact could accept as adequate and sufficient to support a conclusion of a defendant’s guilt beyond a reasonable doubt.” Burgos, 94 F.3d at 862.
A. The Promotion Counts.
Counts 12, 13, 14, 16 and 17 charged that the Defendants violated 18 U.S.C. § 1956(a)(l)(A)(i). In order to sustain a conviction under the statute, the government must prove: (1) the defendant conducted or attempted to conduct a financial transaction having at least a de minimis effect on interstate commerce or involving the use of a financial institution which is engaged in, or the activities of which have at least a de minimis effect on, interstate commerce, see United States v. Peay, 972 F.2d 71, 74 (4th Cir.1992); (2) the property that was the subject of the transaction involved the proceeds of specified unlawful activity; (3) the defendant knew that the property involved represented the proceeds of some form of unlawful activity; and (4) the defendant engaged in the financial transaction with the intent to promote the carrying on of specified unlawful activity. See 18 U.S.C. §§ 1956(a)(l)(A)(i) and (c).
With respect to counts 12-14 and 16-17, the indictment essentially alleged that the Defendants’ transfers of money fraudulently obtained from HLI through MPS to their non-medical businesses constituted financial transactions involving proceeds from a specified unlawful activity, namely wire fraud, conducted with the intent to promote the carrying on of wire fraud. The Defendants take issue with the sufficiency of the evidence with respect to the interstate commerce element and whether the Defendants conducted the transactions with the intent to promote wire fraud. We conclude the evidence is sufficient with respect to each of these elements and address each in turn.
The Defendants argue that evidence of a de minimis effect on interstate commerce is lacking, because the Promotion Counts only involved the intrastate transfers of funds. For example, Count 17 was premised on a check drawn on MPS’s account at Signet Bank in Virginia in favor of Hawthorne Construction Excavators, Inc., a Virginia company. Although the Promotion Counts only involved the intrastate transfers of HLI line of credit funds, the record contains more than sufficient evidence to establish that those transfers had at least a de minimis effect on interstate commerce. Specifically, the evidence firmly established that the Defendants’ transfers affected interstate commerce by violating MPS’s loan agreement with an out-of-state company, HLI.
Relying on United States v. Heaps, 39 F.3d 479 (4th Cir.1994), and United States v. Jackson, 935 F.2d 832 (7th Cir.1991), the *221Defendants argue that their unsecured transfers of funds to their nonmedieal businesses in no way “promoted” wire fraud. Rather, the Defendants contend that their unsecured transfers merely amounted to lifestyle expenditures. See Jackson, 935 F.2d at 841 (holding that defendant’s expenditure of proceeds from drug sale on items used solely to maintain personal lifestyle did not “promote” specified crime of drug dealing).
We believe there is sufficient evidence of promotion. The Defendants understood that the use of financial transactions from MPS to the non-medical businesses was an essential part of their scheme to misapply funds fraudulently obtained from HLI. Otherwise, HLI would have transferred funds directly to the non-medical businesses. To avoid this result, MPS engaged in these transactions with the nonmedical businesses to promote the overall scheme. Because the transfer of money from MPS to the non-medical businesses was integral to the success of the overall scheme, it is undeniable that these transactions were designed to promote the unlawful activity of wire fraud. That the transactions were part of the overall scheme to defraud or could form the basis of a wire fraud charge is of no consequence. Cf. United States v. Smith, 44 F.3d 1259, 1265 (4th Cir.1995).
Furthermore, the facts here are materially distinguishable from the facts in Heaps and Jackson, the two cases relied upon by the Defendants. In Heaps, the promotion counts were based on payments for drugs to a drug dealer, who then placed the money in a box in his apartment. Heaps, 39 F.3d at 485. We held that the receipt of the proceeds of the drug deal could not also serve as the predicate of a promotion count. See id. at 485-86. Otherwise “virtually every sale of drugs would be an automatic money laundering violation as soon as money changed hands.” Id. at 485. Thus, in Heaps, we required that the money laundering transaction be separate and distinct from the underlying offense generating the money. In the present case, the promotion counts satisfy this requirement. They were predicated, not on the transfers into MPS’s account, but rather on the transfers -from MPS’s account to their non-medical businesses, thus misappropriating HLI line of credit funds to infuse cash into those businesses.
Jackson is inapposite as well. In Jackson, the Seventh Circuit held that proof , of the defendant-drug dealer’s purchase of a cellular telephone, making rental payments, and making out. checks to cash with fimds he obtained, from the sale of drugs could not be viewed as promoting his drug dealing for purposes of § 1956(a)(l)(A)(i), because the government did not offer concomitant proof that.these expenditures played some role in the defendant’s drug dealing operation. Jackson, 935 F.2d at 841. In contrast to Jackson, in the present case the evidence links the transfer of the ill-gotten funds to the specified criminal activity. In the context of a fraud ease such as we have here, when proceeds are used in a transaction to commit the next step -in a scheme to defraud, it is clear that the financial transaction advances and furthers the progress of the next step. We,. accordingly, reject the Defendants’ challenge to the sufficiency of the government’s proof that they engaged in the financial transactions at issue with the intent to promote the carrying on of wire fraud.
■ B. Concealment Counts.
Counts 18,19, 20 and 21 charged that the Defendants violated 18 U.S.C. § 1956(a)(l)(B)(i). In order to sustain a conviction under that provision, the government must prove: (1) the defendant conducted or attempted to conduct a financial transaction having at least a de minimis effect on interstate commerce or involving the use of a financial institution which is engaged in, or the activities of which have at least á de minimis effect on, interstate commerce, , see Peay, 972 F.2d at 74; (2) the property that was the subject of the transaction involved the proceeds of specified unlawful activity; (3) the defendant knew that the property involved represented the proceeds of some form of unlawful activity; and (4) the- defendant knew that the transaction was designed in whole or part, to conceal or disguise the nature, the location, the source, the ownership, or the control of the proceeds of the unlawful activity. See 18 U.S.C. §§ 1956(a)(l)(B)(i) and (c).
*222The government premised the Concealment Counts on the repayments from the Defendants’ non-medical businesses to MPS, and the cover-up of the source of those repayments on MPS’s books. According to the Defendants, the government’s offer of proof on the Concealment Counts was deficient as to the first, second and fourth elements. Our review of the evidence reveals that sufficient evidence supports each of these elements.
With respect to the first or interstate commerce element, the record establishes that after each repayment, ,the Defendants faxed a “Loan Status Report” from MPS in Virginia to HLI in Maryland that reported the receipt of the repaid funds, but failed to disclose any source of the repaid funds. By failing to disclose the true source of these funds, each Loan Status Report gave HLI the false impression that the funds originated from legitimate medical businesses as required by the written loan agreement between MPS and HLI. Accordingly, we are more than satisfied that the repayments had at least a de minimis effect on interstate commerce.
With respect to the second element, the Defendants’ convictions on Counts 18 through 21 will stand as long as the jury, viewing the evidence in the light most favorable to the government, could infer that the transfers into MPS’s account “involved” wire fraud proceeds for purposes of § 1956(a)(1). To do so, the government need not prove that all of the money involved in the transfers constituted the proceeds of wire fraud; it is sufficient if the government proves that at least part of the money represented such proceeds. See, e.g., United States v. Cancelliere, 69 F.3d 1116, 1120 (11th Cir.1995); Jackson, 935 F.2d at 840; cf. United States v. Moore, 27 F.3d 969, 976-77 (4th Cir.1994) (stating that 18 U.S.C. § 1957 does not require the government to trace origin of funds from sale of assets that were purchased with commingled illegally-acquired and legally-acquired funds). Furthermore, when the funds used in a particular transaction originated from a single source of commingled, legally- and illegally-acquired funds, it may be presumed that the transacted funds, at least up to the full amount originally derived from crime, were the proceeds of the criminal activity. Cf. Moore, 27 F.3d at 976 (holding same in context. of 18 U.S.C. § 1957, the sister money laundering statute to 18 U.S.C. § 1956).
Viewing the evidence in the light most favorable to the government, we conclude that substantial evidence supports that the repayments represented, in part, the proceeds of the Defendants’ wire fraud. The uncontradicted evidence at trial showed that each repayment derived from a commingled account, and that the amount of the repayment was less than the amount originally transferred as part of the Defendants’ wire fraud. Therefore, the jury was entitled to presume that the repayments constituted the proceeds of the Defendants’ wire fraud. Cf. Moore, 27 F.3d at 976-77.
With respect to the fourth element— that the Defendants knew the transactions were designed, in whole or part, to conceal or disguise the nature, the location, the source, the ownership, or the control of the proceeds of the unlawful activity, see 18 U.S.C. § 1956(a)(l)(B)(i)—the Defendants argue there was insufficient evidence of structuring. See United States v. Gilliam, 975 F.2d 1050, 1056 (4th Cir.1992) (stating that in a prosecution under § 1956(a)(l)(B)(i), the government must prove “a specific intent to structure a transaction so as to conceal the true nature of the proceeds.”). According to the Defendants, their doctoring of MPS’s books to conceal the source of the funds transferred cannot count as their having “structured” the transactions because the transactions (the transfer of funds between bank accounts) had already been completed.
The Defendants’ argument takes an overly narrow view of the term “transaction” as found in 18 U.S.C. § 1956(a)(1). Section 1956 defines “transaction,” in relevant part, as including “a ... transfer, delivery, or other disposition, and with respect to a financial institution includes a deposit, ... transfer between accounts, ... or any other payment, transfer, or delivery by, through, or to a financial institution, by whatever means effected.” 18 U.S.C. § 1956(c)(3). The evidence, viewed in the light most favorable to the government, supports the jury’s finding that the Defendants had a specific intent to structure their transactions so as to conceal or disguise the true nature and source of the repayments. The transactions here involved the Defendants’ transfer of funds between *223bank accounts with the knowledge that the receiver of the funds, MPS, would doctor the books to conceal the true nature and source of the funds. The jury was entitled to infer that the Defendants would not have transferred the funds unless they knew-that MPS would doctor the books upon receipt of- the funds, and thus was entitled to find that the Defendants structured the transactions so as to conceal their true nature and source.
For these reasons, we reject the Defendants’ challenge to the sufficiency of the government’s proof with respect to' the first, second and fourth elements on the Concealment Counts. In sum, we reject the Defendants’ challenge to the sufficiency of the evidence supporting their money laundering convictions.
III.
The Defendants next seek reversal of their money laundering convictions, Counts 12-14 and 16-21, under Federal Rule of Criminal Procedure 52(b), on the ground that the district court committed plain error by failing to charge the jury that the financial transactions that were the subject of the money laundering counts had to have either (1) had at least a de minimis effect on interstate commerce or (2) involved the use of a financial institution which is engaged in, or the activities of which have at least a de minimis effect on, interstate commerce. See 18 U.S.C. § 1956(c)(4); Peay, 972 F.2d at 74. Because the Defendants failed to note a timely objection at trial to the district court’s failure to so instruct the jury, they are correct in asserting that we may only review for plain error. See United States v. Olano, 507 U.S. 725, 731, 113 S.Ct. 1770, 1776, 123 L.Ed.2d 508 (1993); see also Fed.R.Crim.P. 52(b) (“Plain errors or defects affecting substantial rights may be noticed although they were not brought to the attention of the court.”).
Under the plain error analysis clarified by the Supreme Court in Olano, an appellate court has the discretion to correct a forfeited error under Federal Rule of Criminal Procedure 52(b), where: (1) there is an error; (2) the error is plain; (3) the error affects substantial rights; and (4) the court determines, after examining the particulars of the case, that the error “seriously affect[s] the fairness, integrity, or public reputation of judicial proceedings.” See Olano, 507 U.S. at 732, 113 S.Ct. at 1776-77 (alteration in original) (internal quotation marks omitted).
We have no trouble in concluding that the first two prongs of the Olano test are satisfied here. “Proof of some effect on interstate commerce is essential to show” a violation of 18 U.S.C. § 1956. See Peay, 972 F.2d at 74. Here, the district court failed to instruct the' jury on the interstate commerce element of the money laundering counts. Such failure constitutes error. See United States v. Forbes, 64 F.3d 928, 934 (4th Cir. 1995) (stating that the Sixth Amendment’s right to trial by jury includes a right to have the jury make every factual finding essential to a conviction; thus, failure to instruct the jury that it must make a finding on an essential element is constitutional error). The first prong of Olano, then, is satisfied. The holding of Peay requiring proof of a de min-imis effect on interstate commerce is clear, satisfying the second prong of Olano, which requires-that the error be plain. See Olano, 507 U.S. at 734, 113 S.Ct. at 1777-78 (explaining that the word “ ‘plain’ ” is “synonymous with ‘clear’ or, equivalently,’obvious’ ”).
Unless we conclude that the jury necessarily made the required finding despite the failure to instruct, see, e.g., Forbes, 64 F.3d at 935, then we must conclude that the failure to instruct affected Conk’s substantial rights, see United States v. David, 83 F.3d 638, 647 (4th Cir.1996) (“[T]he failure to instruct on an element of the crime, where the jury never made the constitutionally required findings, is within that ‘special category’ of forfeited errors, and satisfies Olano’s third prong.”).2 The record before us gives no indication that despite the district court’s failure to instruct, the jury necessarily found *224that the Defendants’ conduct under the Promotion Counts had at least a de minimis effect on interstate commerce. For example, no other instruction encompassed the missing instruction. Accordingly, the third prong of Olano is satisfied.
We cannot conclude, however, that the fourth prong of Olano is satisfied because, after examining the particulars of this case, we cannot say that the forfeited error “seriously affect[s] the fairness, integrity, or public reputation of judicial proceedings.” See Olano, 507 U.S. at 732, 113 S.Ct. at 1776 (alteration in original) (internal quotation marks omitted). Recently, in Johnson, — U.S. at-, 117 S.Ct. at 1544, the Supreme Court concluded that Olano’s fourth prong was not met under nearly identical circumstances. In Johnson, the district court erroneously failed to submit the issue of materiality to the jury in a perjury prosecution under 18 U.S.C. § 1623. See id. at-, 117 S.Ct. at 1549. The Supreme Court assumed without deciding that the error affected Johnson’s substantial rights, and thus assumed the third prong of Olano was met. See id at —--, 117 S.Ct. at 1549-50. The Supreme Court concluded that Olano’s fourth prong was not met in the face of the following circumstances: (1) the evidence in the record of materiality was “overwhelming”; (2) the issue of materiality was essentially uneontroverted at trial and remained so on appeal; and (3) Johnson did not present a plausible argument, in either her brief to the Eleventh Circuit or her brief to the Supreme Court, that her false statement was immaterial. Id. at-, 117 S.Ct. at 1550.
Here, as previously stated, the record contains overwhelming evidence of an effect on interstate commerce with respect to the Promotion Counts and the Concealment Counts. With respect to the Promotion Counts, the evidence firmly established that the Defendants’ transfers had at least a de minimis effect on interstate commerce by violating MPS’s loan agreement with an out-of-state company, HLI. With respect to the Concealment Counts, the record firmly establishes that the transfers had a de minimis effect on interstate commerce by precipitating the faxing of Loan Status Reports from MPS in Virginia to HLI in Maryland falsely implying that the sources of the transfers were medical businesses. Furthermore, this evidence stands completely uncontradicted in the record. Moreover, that the Defendants’ conduct as alleged in the money laundering counts had at least a de minimis effect on interstate commerce was completely uneontroverted at trial. Finally, the Defendants have not offered any plausible argument that such evidence fails to establish the requisite effect on interstate commerce. As the Supreme Court concluded in Johnson, we conclude that this is not a case where we should exercise our discretion to correct a forfeited error under Federal Rule of Criminal Procedure 52(b). See id. at-, 117 S.Ct. at 1550.
IV.
Next, Conk seeks reversal of his perjury conviction for making a false declaration during a civil deposition, Count 24, on the ground that the district court’s instructions on this count constituted plain error under Federal Rule of Criminal Procedure 52(b). Specifically, Conk complains that the district court instructed the jury on the wrong crime and erroneously removed from the jury’s consideration the issues of whether his alleged false declaration was material and under oath. Conk acknowledges his failure to object to these instructions. Thus, we examine the district court’s instructions regarding perjury and consider whether Federal Rule of Criminal Procedure 52(b) entitles him to relief from his perjury conviction.
A. The District Court’s Instructions Regarding Perjury.
To convict Conk of perjury under 18 U.S.C. § 1623(a) as alleged in Count 24, the government had the burden of proving beyond a reasonable doubt that Conk: (1) knowingly made a(2) false (3) material declaration (4) under oath (5) in a proceeding before or ancillary to any court of the United States. See 18 U.S.C. § 1623(a); cf. United States v. Friedhaber, 856 F.2d 640, 642 (4th Cir.1988) (en banc) (peijury before a *225grand jury).3 The third and fifth elements deserve some elaboration in the context of this case. We have consistently held that in a § 1623 prosecution, the third or materiality element is met if the declaration at issue ‘has a natural tendency to influence, or is capable of influencing, the decision-making body to which it was addressed.’ ” United States v. Dickerson, 114 F.3d 464, 466 (4th Cir.1997) (perjury before grand jury) (quoting United States v. Littleton, 76 F.3d 614, 618 (4th Cir.1996) (perjury before grand jury)). We have not had an occasion to apply this articulation of the materiality standard in the context of a prosecution for perjury during a civil deposition. Given that a deponent’s testimony is not actually addressed to a decision-making body, this standard does not neatly apply when, as here, the defendant is charged with committing perjury during a civil deposition. We note that the Second Circuit has adopted a materiality standard for purposes of a § 1623 prosecution for perjury during a civil deposition. See United States v. Kross, 14 F.3d 751, 754 (2d Cir. 1994). In the Second Circuit, a false statement during a civil deposition is material if a “truthful answer .might reasonably be calculated to lead to the discovery of evidence admissible at the trial of the underlying suit.” Id. The Fifth Circuit has adopted a similar standard. See United States v. Holley, 942 F.2d 916, 924 (5th Cir.1991) (holding that in a § 1623 prosecution for perjury during a civil deposition, materiality is not limited to issues specifically raised at trial or evidence admissible at trial, but includes matters properly the subject of and material to a deposition under Federal Rule of Civil Procedure 26(b)(1)). The Sixth and Ninth Circuits have adopted a considerably higher standard of materiality in a § 1623 prosecution for perjury during a civil deposition. See United States v. Clark, 918 F.2d 843, 846 (9th Cir.1990), overruled on other grounds by United States v. Keys, 95 F.3d 874 (9th Cir.1996), cert. granted and judgment vacated, — U.S. -, 117 S.Ct. 1816, 137 L.Ed.2d 1025 (1997); United States v. Adams, 870 F.2d 1140, 1146-48 (6th Cir.1989). In the Sixth and Ninth Circuits, a false statement during a civil deposition is material if the topic of the statement is discoverable and the false statement itself had the tendency to affect the outcome of the underlying civil suit for which the deposition was taken. Clark, 918 F.2d at 847; Adams, 870 F.2d at 1147. As we will explain later, it is not necessary in this case that we decide which among these standards we would adopt for our circuit.
The fifth prong requires that the declaration at issue be made in a proceeding before or ancillary to a court of the United States. We note that this prong is satisfied upon sufficient evidence that the defendant made'the false statement during a deposition in a federal civil case. See United States v. McAfee, 8 F.3d 1010, 1013-14 (5th Cir.1993) (holding that a deposition in a federal civil case is an ancillary proceeding within the meaning of 18 U.S.C. § 1623).
With the requirements of a § 1623(a) prosecution in mind, we now turn to survey the district court’s instructions to the jury regarding peijury in the present case. The district court began its instructions to the jury regarding perjury by generally stating that § 1623 provides, in pertinent part, that “[w]hoever under oath in any proceeding before any court or grand jury of the United States knowingly mákes any false, material declaration is guilty of a crime.” (J.A 253). The district court next attempted to break the statute down into the individual elements -that must be proven. In doing so, the district court blended the essential elements of a § 1623(a) prosecution with a § 1621(1) prosecution. Section 1621(1) provides in pertinent part:
Whoever—
(1) having taken an oath before a competent tribunal, officer, or person, in any case in which a law of the United States authorizes an oath to be administered, that he will testify, declare, depose, or certify truly, or that any written testimony, deela-*226ration, deposition, or certificate by him subscribed, is true, willfully and contrary to such oath states or subscribes any material matter which he does not believe to be true; ... is guilty of perjury----
18 U.S.C. § 1621(1).
Specifically, the district court instructed the jury that in order to convict Conk of perjury as alleged in Count 24, it must be convinced that the government has proven each of the following beyond a reasonable doubt:
First, that the defendant testified under oath in a proceeding for which a law of United States authorizes the administration of an oath. Second, the oath was administered by a qualified person. Third, the defendant knowingly made the false material statement detailed in the indictment. And fourth, that the defendant acted willfully and contrary to the oath that had been given.
(J.A. 253). The district court then instructed the jury as follows:
Now, [t]he Court is required by law to decide under the essential element one, whether or not the proceeding which the defendant testified was one during which an oath may be administered, and under the essential element two whether the oath was given by someone qualified to administer oath. In this ease there is no issue as to those two elements.
With respect to the first element, the defendant took an oath to testify truthfully, the evidence shows, and there appears to be no dispute that the defendant appeared for purposes of a deposition in the civil case before this division of United States District Court in a case' entitled Health Line, Inc[.] versus Medical Payment Services, Inc[.], MedPay. Thomas A. Wilkinson [and] Edward M. Conk ... took an oath to testify truthfully. The Court will determine the second element, that is, the materiality as a matter of law.
(J.A. 253-54). The district court then instructed the jury on the particulars of the elements of falsity and acting knowingly. Finally, the district court concluded its perjury instructions by instructing the following: The false or fraudulent statement made-must be related to a material fact. A material fact is one which would reasonably be expected to be of concern to a reasonable and prudent person in relying upon the representations or statement in making the decision.
This means that if you find a particular statement of fact to have been false, you must determine whether that statement was one that had a natural tendency to influence or was capable of influencing the examiner from pursuing his investigation, the resolution of an issue in dispute, any decisions of the court, or the outcome óf the law suit.
(J.A. 256-57).
B. Were the instructions erroneous?
Having surveyed the district court’s perjury instructions, we now turn to consider whether the errors in the instructions alleged by Conk warrant reversal of his perjury conviction pursuant to Federal Rule of Criminal Procedure 52(b).
1. The Substitute Instruction.
We have no trouble in concluding that the district court erroneously instructed the jury with respect to Count 24 to the extent that the district court substituted the elements of the crime of “Perjury generally,” 18 U.S.C. § 1621, for the elements of the crime of “False declarations before a grand jury or court,” 18 U.S.C. § 1623. As previously stated, to convict Conk of perjury under § 1623 as alleged in Count 24, the government had to prove that Conk (1) knowingly made a(2) false (3) material declaration (4) under oath (5) in a proceeding before or ancillary to any court or grand jury of the United States. See 18 U.S.C. § 1623(a). The district court’s substitute instruction covered all of these elements except for the last one. On that element, the district court instructed that, in order to convict Conk of perjury, he must have made the allegedly false statement in a proceeding for which a law of the United States authorizes the administration of an oath rather than in a proceeding ancillary to any court or grand jury of the United States. Thus, *227the district court failed to instruct on an essential element of § 1623(a). This was error, and the error was plain. Thus, the first and second prongs of Olano are satisfied.
Again, unless we conclude that the jury necessarily made the required finding despite the failure to instruct, see, e.g., Forbes, 64 F.3d at 935, then we must conclude that the failure to instruct affected Conk’s substantial rights, see David, 83 F.3d at 647. The record before us gives no indication that, despite the district court’s failure to instruct, the jury necessarily found that Conk made the allegedly false statement at issue in a proceeding before or ancillary to any court or grand jury of the United States. No other instruction encompassed the missing instruction. Moreover, any chance at inquiring whether the jury necessarily found that Conk made the allegedly false statement in a proceeding ancillary to any court or grand jury of the United States by finding that he made the allegedly false statement in a proceeding for which a law of the United States authorizes the administration of an oath is foreclosed by the district court’s conclusive instruction on the latter issue.- Accordingly, Olano’s third prong is satisfied. See David, 83 F.3d at 647.
We now must consider whether the forfeited error “seriously affeet[s] the fairness, integrity, or public reputation of judicial proceedings.” See Olano, 507 U.S. at 732, 113 S.Ct. at 1776 (alteration in original) (internal quotation marks omitted). We conclude that it does not, because overwhelming evidence establishes that Conk made the declaration at issue during a proceeding ancillary to a court of the United States, specifically a civil deposition; such evidence stands uncontra-dicted in the record; Conk did not dispute this element below and does not do so on appeal; and finally, Conk fails to set forth a plausible argument that he did not make the declaration at issue during a proceeding ancillary to a court of the United States. Under these circumstances, the fourth prong of Olano is not satisfied, see Johnson, — U.S. at-, 117 S.Ct. at 1550, and thus, we will not reverse Conk’s perjury conviction on this basis.
2. Conclusive Instruction Regarding Whether Conk Made The Alleged False Statement Under Oath.
We have no trouble in concluding that the district court’s conclusive instruction that the false declaration at issue in Count 24 was made under oath satisfies the first three prongs of Olano. There is no doubt that an essential element of a '§ 1623(a) prosecution is that the defendant has made the false declaration under oath. See Friedhaber, 856 F.2d at 642. The statutory text of § 1623(a) expressly requires that the false declaration have been made “under oath.” 18 U.S.C. § 1623(a). Thus, .the district court violated Conk’s Sixth Amendment right to have a jury make every factual finding essential to his convictions when,it instructed the jury that the government had conclusively established this element of the offense. See United States v. Johnson, 71 F.3d 139, 142-43 (4th Cir.1995) (holding the district court’s instruction to the jury that deprived the jury of the opportunity to make a factual finding on an essential element of the offense constituted Sixth Amendment violation). The error was plain, and because no other instruction appears to have neutralized, the error, we conclude that the error affected Conk’s substantial rights. See David, 83 F.3d at 647.
Again, however, we cannot conclude that the error “seriously affeet[s] the fairness, integrity, or public reputation of judicial proceedings.” See Olano, 507 U.S. at 732, 113 S.Ct. at 1776 (alteration in original) (internal quotation marks omitted). First, the evidence on this issue is overwhelming in that Conk admitted at trial that he testified under oath at the civil deposition on July 10, 1991 as alleged in Count 24. Second, he does not argue the invalidity of this admission on appeal. Third and finally, we fail to conceive of a plausible argument that Conk did not make the declaration at issue under oath. Under these circumstances, we cannot say that Ola-no’s fourth prong is satisfied. Accordingly, we will not reverse Conk’s conviction on Count 24 on the basis of the district court’s conclusive instruction that the alleged false declaration was made under oath. See Johnson, — U.S. at -, 117 S.Ct. at 1550.
*2283. Conclusive Instruction on Materiality.
Conk also complains that the district court committed plain error by removing the element of materiality from the jury. He points to the district court’s instruction during final instructions that “[t]he Court will determine the second element, that is materiality, as a matter of law.” (J.A. 254). The government argues that this instruction does not constitute error because the district court subsequently instructed the jury that it had to make a finding on the issue of materiality and gave the jury the standard to apply in deciding the issue.
Again, we have no trouble in concluding that the conclusive instruction at issue satisfies the first three prongs of Olano. The law is settled that in a § 1623 prosecution, the issue of materiality must “be decided by the jury, not the court.” Johnson, —— U.S. at-, 117 S.Ct. at 1548. Accordingly, the district court’s instruction to the jury that the court was responsible for deciding the issue of materiality with respect to Count 24 was error. Furthermore, we conclude the error is clear, and thus plain. See id. at -, 117 S.Ct. at 1549. Finally, we conclude the error affected Conk’s substantial rights, because we cannot conclude that the jury made the constitutionally required finding of materiality. See David, 83 F.3d at 647. Despite the district court’s subsequent instruction to the jury that it should decide the issue of materiality, without an instruction telling the jury to disregard the previous erroneous instruction, we cannot conclude that the jury failed to follow the previous erroneous instruction. See United States v. Varner, 748 F.2d 925, 927 (4th Cir.1984); United States v. Walker, 677 F.2d 1014, 1016-17 n. 3 (4th Cir.1982) (stating that, with respect to directly conflicting final jury instructions, where one is clearly prejudicial and the other not, reversal is warranted, because the jury “might have followed the erroneous instruction”).
Yet again, we are left to consider whether the last prong of Olano is met, and again, we conclude that it is not. On this record, there is simply no basis for concluding that the error “seriously affect[s] the fairness, integrity or public reputation of judicial proceedings.” Olano, 507 U.S. at 732, 113 S.Ct. at 1776 (alteration in original) (internal quotation marks omitted). As set forth above, the standard of materiality in the context of a civil deposition has not been finally determined in our circuit. However, we need not decide which among the differing standards we would adopt, because overwhelming evidence establishes that the nature of Conk’s false declaration unquestionably meets the more' stringent standard adopted by the Sixth and Ninth Circuits requiring that the topic of the declaration at issue be discoverable and have the tendency to affect the outcome of the civil suit involved. See Clark, 918 F.2d at 847; Adams, 870 F.2d at 1147. Here, the topic of Conk’s false declaration was unquestionably discoverable and the false declaration itself undeniably had the tendency to affect the outcome of HLI’s civil suit against MPS, Conk, and Wilkinson for breach of contract and fraud. Specifically, the evidence firmly establishes that HLI’s civil suit was prompted in part by its discovery through an investigative audit that many of the health care companies listed on MPS’s books were fictitious. Thus, it is beyond cavil that information regarding whether Conk had any knowledge of the fictitious name “American Surgical” as listed on MPS’s books “appeared] reasonably calculated to lead to the discovery of admissible evidence” in HLI’s civil suit. Fed.R.Civ.P. 26(b)(1). Furthermore, Conk’s false denial of knowledge of “American Surgical” irrefutably had the tendency to affect the outcome of the civil suit in that, at a minimum, it had the tendency to exculpate him with respect to HLI’s claims of fraud and breach of contract. Indeed, we would characterize the evidence of materiality in this ease as overwhelming. A further factor weighing in favor of not recognizing the district court’s erroneous mandatory instruction on materiality is that the evidence of materiality is uncontradicted. Beyond that, Conk did not dispute the materiality of the declaration at issue below, and he has failed to present a plausible argument of immateriality before this court. Again, we are faced with circumstances nearly identical to those found in Johnson, — U.S. at-, 117 S.Ct. at 1544, where the Supreme Court refused to recognize a district court’s error in *229removing the element of materiality from the jury, and again, we conclude that Olano ‘s fourth prong is not satisfied.
We note that our conclusion is in accord with three of our sister circuits that have considered the satisfaction of Olano’s fourth prong post-Johnson under essentially the same circumstances. See United States v. West Indies Transp., Inc., 127 F.3d 299, 306 (3d Cir.1997), cert. denied, — U.S.-, 118 S.Ct. 700, 139 L.Ed.2d 644 (1997); United States v. Sassanelli, 118 F.3d 495, 499-500 (6th Cir.1997); United States v. Knoll, 116 F.3d 994, 1001 (2d Cir.1997). For example, the Third Circuit refused to correct an erroneous conclusive instruction on the element of materiality in a prosecution under 18 U.S.C. § 1546 for making a false statement on a visa. See West Indies Transp., 127 F.3d at 306. Analogizing to Johnson, the court concluded that Olano’s fourth prong was not satisfied where the evidence of' materiality was overwhelming and uneontroverted, and the defendants failed to present a plausible argument that their statements were not material. See id.
In conclusion, while the district court erred with respect to portions of its perjury instructions, none of its errors warrant reversal of Conk’s perjury conviction under Federal Rule of Criminal Procedure 52(b). Accordingly, we affirm Conk’s conviction on Count 24' for perjury in violation of § 1623(a).4
Y.
The Defendants next contend that their conspiracy and wire fraud convictions should be reversed on the ground that the district court abused its discretion in admitting, over their (Objections, two portions of a chart'summarizing HLI’s loss as a result of their fraudulent activities. See United States v. Ellis, 121 F.3d 908, 926 (4th Cir.1997) (a district court’s decision to admit evidence over an objection is reviewed for abuse of discretion).
The chart, known as Exhibit MF-4, listed two major categories of HLI loan activity, pre-discovery activity and post-discovery activity, and listed HLI’s total loss resulting from Defendants’ criminal actions at $3,668,-550. Under post-discovery activity, the chart listed amounts attributable to: (1) “Post Default Interest (Prime + 4%)’.’; (2) “Collections from Doctors”; (3) “Collections from Wilkinson”; and (4) “Collections from Conk.” (J.A. 483).
The Defendants only take issue with the portions of the chart that listed the amount of “Post Default Interest” at $740,335 and “Collections from Doctors” at $1,917,698. According to the Defendants, these amounts should have been excluded, because the government did not offer underlying documentary evidence to support them. See Fed. R.Evid. 1006 (“The contents of voluminous writings, records, or photographs which cannot conveniently be examined in court may be presented in the form of a chart, summary, or calculation. The originals, or duplicates, shall be made available for examination or copying, or both, by other parties at a reasonable time and place. The court may order that they be produced in court.”).
We need not decide whether thé district court erred in admitting the portions of the chart containing the amounts at issue, because assuming arguendo that it did, our review of the record reveals that any error was harmless. See Fed.R.Crim.P. 52(a) .(“Any error, defect, irregularity or variance which does not affect substantial rights shall be disregarded.”). Obviously, the government’s point in introducing the summary chart was to show that the Defendants engineered a fraud on HLI that caused it an enormous financial loss. Even without counting the amount of “Post Default Interest” as a loss to HLI, the other figures on the chart revealed that HLI still suffered an enormous financial loss of nearly three million dollars. As for the amount listed as “Collections from Doctors,” the Defendants were not prejudiced by the jury’s knowledge of this amount, because that figure only *230served to minimize HLI’s loss. The critical flaw in Judge Widener’s analysis in his dissenting opinion on this issue is that he treats the amount listed as “Collections from Doctors” as counting in the total loss figure of $3,668,550 sought to be proved by the government. In sum, the district court’s admission of the challenged portions of the chart does not warrant reversal of the Defendants' convictions for conspiracy and wire fraud.
VI.
Conk next challenges the sufficiency of the evidence to support his conviction for bank fraud under 18 U.S.C. § 1344. A majority of the panel consisting of myself and Judge Widener agree that Conk’s bank fraud conviction should be affirmed; however, we reach our decision for different reasons, which reasons are stated in our separate opinions arriving at the same result.
VIL
We next turn to the Defendants’ challenge to the district court’s refusal to grant them downward departures in their sentences from the applicable guideline ranges under the United States Sentencing Guidelines. We lack authority to review such a refusal when it rests upon a determination that a departure is not warranted. See United States v. Bayerle, 898 F.2d 28, 30-31 (4th Cir.1990). However, we may review the decision of a district court not to depart when that determination is grounded upon a belief that it lacks the legal authority to depart. See id. at 31.
Our review of the record reveals that the district court’s decision not to depart downward in the Defendants’ sentences rested on its determination that a downward departure was not warranted with respect to either defendant. Accordingly, appellate review is precluded.5
VIII.
In conclusion, we affirm all of the Defendants’ respective convictions and their respective sentences.
AFFIRMED.
. Approximately during the same time that' the Bank of Monteeito extended Day Dream Publishing the 1.65 million dollar line of credit, the Bank of Monteeito also extended Day Dream Publishing an $850,000 line of credit. Unlike the 1.65 million dollar line of credit, which involved a blanket security interest in Day Dream Publishing’s inventory, accounts receivable, and the proceeds thereof, the $850,000 line of credit was secured by specifically identified accounts receivable of Day Dream Publishing. The subjects of the ' specifically identified accounts receivable were to pay the Bank of Monteeito directly. We can find no evidence in the record to establish that the Big B account receivable was one of the accounts receivable connected to the $850,000 line of credit.
. In Johnson v. United States,-U.S.-, 117 S.Ct. 1544, 137 L.Ed.2d 718 (1997), the Supreme Court specifically did not address whether a failure to instruct on an essential element of a crime is an error that falls within the limited classes of errors that have been found to affect substantial rights. See id. at 1550. Thus, our decision in David remains good law on this point.
. In pertinent part, § 1623(a) provides:
Whoever under oath ... in any proceeding before or ancillary to any court or grand jury of the United States knowingly makes any false material declaration ... shall be fined under this title or imprisoned not more than five years, or bbth.
18 U.S.C. § 1623(a).
. Conk also challenges his perjury conviction on the ground that the element of materiality is not supported by sufficient evidence. For the reasons just stated, we reject his challenge as being without merit.
. The Defendants also challenge their sentences on the ground that the district court should have made independent findings with respect to the application of the United States Sentencing Guidelines to the non-money laundering counts, which did not carry the highest offense levels. This challenge is without merit. Our review of the record reveals that the district court properly sentenced the Defendants in accordance with the Guideline section that specifies the procedure for sentencing a defendant in a multiple-count case. See U.S.S.G. § 5G1.2.
We also note that the Defendants originally challenged the district court's restitution order. However, they have since abandoned that challenge, citing the doctrine of mootness.