OPINION
Judy Yeung appeals from a restitution order imposed by the district court after a jury convicted Yeung of various crimes associated with her involvement in a fraudulent real estate investment scheme. 1 We have jurisdiction pursuant to 28 U.S.C. § 1291. We hold that the district court failed to provide an adequate explanation of its reasoning in calculating the amount of restitution owed to two of the victims and, therefore, vacate that portion of the restitution order. We remand for recalculation and explanation of the award pursuant to the Mandatory Victims Restitution Act of 1996 (“MVRA”), 18 U.S.C. § 3663A.
I
From 2005 until 2007, Judy Yeung and her co-conspirators developed a scheme to make money in the then-booming housing market and to pay off various debts. Yeung recruited five individuals with good credit scores to act as straw buyers to purchase and refinance residences in San Francisco and Gilroy, California. Yeung and other members of the conspiracy falsified information on the straw buyers’ loan applications, for example by materially overstating the supposed borrower’s income and assets and misstating their employment information and rental obligations. As part of the scheme, the conspirators developed a false letter from an accountant and a false “verification of deposit” letter from Hang Seng Bank to support the fraudulent loan applications. Despite her promises to the straw buyers, Yeung stopped making mortgage payments and defaulted on the loans, which triggered foreclosure of - the properties held as collateral. After she was convicted, the district court determined that the victims of two of the five fraudulent schemes (the “Ferrari loans” and the “Lam loans”) were entitled to restitution in the amount of $1,321,564. The relevant facts about the two schemes at issue, drawn from the record, are as follows.
A
The scheme involving the Ferrari loans began in 2005. At the suggestion of real estate broker Alex Yee (an' alleged co-conspirator), Yeung obtained loans in the name of Kenneth Ferrari, Yee’s friend and former co-worker, in order to repurchase the property at 1351 Third Street from a previous straw buyer who wanted out of the scheme. Yee and Yeung prepared a loan application for Ferrari that falsely stated that 1351 Third Street would be Ferrari’s primary residence and falsely inflated Ferrari’s income and present rental obligations. Relying on this loan application, in December 2005, Long Beach Mortgage Company made two separate loans to Ferrari, the first for $664,000 and the second for $166,000. The loans were secured by the 1351 Third Street property. Ferrari paid the first mortgage payment himself, and Yee, who felt responsible for involving Ferrari, made the second payment. Yeung reimbursed Ferrari for the first month’s mortgage payment and also made the third month’s payment. She made no further payments.
According to the government’s expert witness, in March 2006, Long Beach Mort *598 gage Company sold the two Ferrari loans to Long Beach Mortgage Securities Corporation, which then sold or transferred the loans, as part of a pool of loans, to the Long Beach Mortgage Trust 2006-2 (“Long Beach Trust”), a corporate entity. No evidence was submitted regarding the price Long Beach Mortgage Securities Corporation or the Long Beach Trust paid for the loans; the government witness at the evidentiary hearing testified that she did not know the amount. The Long Beach Trust sold interests in the securitized pool of loans to investors.
On December 4, 2006, after Ferrari defaulted on the loans, foreclosure proceedings commenced. The unpaid principal balance of the two loans at the time of Ferrari’s default was $829,382. Deutsche Bank National Trust Company (“Deutsche Bank”), as trustee for the Long Beach Trust, took title to the 1351 Third Street property at the foreclosure sale for a credit bid of $707,388. 2 In March 2008, Deutsche Bank sold the real estate to a third party for $395,000, receiving net proceeds (i.e., the sales price less the costs of the sale) of $363,863.
B
The scheme involving the Lam loans began in August 2006, when Yeung recruited straw buyer Dinh Lam to purchase Yeung’s home at 261 San Fernando Way, San Francisco, California. Lam’s loan application falsely listed 261 San Fernando Way as his primary residence and stated that Lam was the actual borrower, instead of Yeung. The application also overstated Lam’s income and fraudulently stated that Lam had a Hang Seng Bank account with $480,168 in assets.
In January 2007, J.P. Morgan Chase Bank, NA, loaned Lam $1,732,500, secured by the residential property at 261 San Fernando Way. According to the government’s expert witness, J.P. Morgan Chase Bank then sold the loan to J.P. Morgan Alternative Loan Trust 2007-A1 (“J.P. Morgan Trust”), where it was pooled with other loans, and interests in the trust were sold to investors. Again, no evidence was submitted regarding the price the J.P. Morgan Trust paid for the loans, and the government witness testified that she did not know the details of the transaction, including the purchase amount.
Lam defaulted on the J.P. Morgan Chase Bank loan in April 2007. The government presented evidence that the unpaid principal balance of the loan at the time of the default was the full loan amount, $1,732,500. The 261 San Fernando Way property was appraised in late 2007 and determined to have a market value of $1,290,000 (per an August 2007 appraisal) and $1,855,500 (per a September 2007 appraisal). On October 1, 2007, Chase Home Finance LLC took title to the property at the foreclosure sale with a credit bid of $1,710,771. According to the bidding instructions, Chase Home Finance LLC foreclosed “in the name of HSBC Bank USA, National Association, as Trustee of J.P. Morgan Alternative Loan Trust 2007-A1.” After taking title to the property, Chase Home Finance LLC sold the property on February 27, 2008, to a third party for $1.5 million. The net proceeds to Chase Home Finance LLC were some $1,343,955.
*599 Concurrently with J.P. Morgan Chase Bank making a $1.73 million loan to Lam secured by a first mortgage on 261 San Fernando Way, Cal State 9 Credit Union (“Cal State 9”) loaned Lam $467,500, secured by a second mortgage on the same property. Cal State 9’s junior lien was extinguished by the foreclosure in October 2007. Cal State 9 charged off the full value of the loan and associated expenses on November 9, 2007. The state subsequently put Cal State 9 into a conservator-ship, and National Credit Union Administration (“NCUA”) took over Cal State 9’s operations.
C
Following Yeung’s conviction, the district court scheduled an evidentiary hearing to determine the amount of loss for the purposes of sentencing and restitution. In advance of the hearing, the probation office submitted a Presentence Investigation Report containing a chart of the victims’ losses, and the government filed a sentencing memorandum that defined and calculated loss pursuant to the U.S. Sentencing Guidelines. Both the probation office and sentencing memorandum calculated the loss to the victims as the outstanding principal balance on the defaulted loans less any money recovered from a sale of the properties used as collateral for the loans. The government stated that it did not include “any interest owed, or any fees or costs associated with the foreclosures and short sales” in the loss amount.
At the August 5, 2010 evidentiary hearing, the government argued that it had proved a loss amount of $1,375,502, which required a sixteen-level upward adjustment in Yeung’s offense level under § 2Bl.l(b)(l)(I) of the U.S. Sentencing Guidelines (applying to losses that exceed $1 million but are less than $2.5 million). While conceding that it had no direct proof regarding how much the alleged victims (Long Beach Trust and J.P. Morgan Trust) paid to purchase the loans from the original lenders, the government argued, consistent with the Presentence Investigation Report and its own sentencing memorandum, that the loss was equivalent to the outstanding principal balance of the loan minus any proceeds recovered from the eventual sale of the collateral.
Following the hearing, the district court determined that the evidence was sufficient to allow it to estimate losses for purposes of the Sentencing Guidelines, even though — due to the “structure of the financial industry” during the period in which the fraudulent scheme was taking place — it was difficult to trace the money and it would be possible to get lost “in the maze of the financial transactions that occurred after the fraudulent loans were obtained and prior to the time that the losses were realized by the various sales and foreclosure sales.” The court adopted the government’s calculation of loss, but ultimately made a downward departure from the sentencing range of 87 to 108 months established under the Sentencing Guidelines and sentenced Yeung to 24 months in custody.
The court then calculated restitution. Using the same calculations developed to determine the amount of loss under § 2Bl.l(b)(l)(I) of the Sentencing Guidelines, and with no mention of the MVRA, the court ordered restitution for the three fraudulent loans at issue here in the amount of $1,321,564. Specifically, for the Ferrari loans, the court ordered Yeung to pay $465,519 to Deutsche Bank, as trustee for the Long Beach Trust, an amount equal to the difference between the unpaid principal balance of the loans at the time of default ($829,382) and the net proceeds from the sale of the 1351 Third Street property to a third-party purchaser ($363,- *600 863). With respect to the Lam loans, the district court ordered Yeung to pay $388,544 to HSBC as trustee for the J.P. Morgan Trust, an amount equal to the difference between the unpaid principal of the J.P. Morgan Chase loan ($1,732,500) and the net proceeds from the sale of the 261 San Fernando Way property to a third-party purchaser ($1,343,955), and to pay $467,500 to NCUA, an amount equal to the full value of the Cal State 9 loan at the time of charge-off.
On appeal, Yeung argues that the district court erred in all three restitution orders. With respect to the Ferrari loans, Yeung argues that the Long Beach Trust is not a victim under MVRA and that the court erred in calculating both the amount of the Long Beach Trust’s loss and the amount it received from sale of the collateral. Yeung makes similar arguments with respect to the Lam loan from J.P. Morgan Chase Bank. Finally, with respect to the Lam loan from Cal State 9, Yeung argues that there was insufficient evidence that Cal State 9 took a charge-off on the loan before going into conservator-ship, or that the NCUA took over after Cal State 9 did so.
II
We review the legality of a restitution order, including the district court’s valuation method, de novo.
United States v. Davoudi,
Under the MVRA, 18 U.S.C. § 3663A, a court must order a defendant to make restitution to a victim of certain specified offenses without considering the defendant’s economic circumstances.
3
See
§§ 3663A(a)(1), 3664(f)(1)(A). The MVRA defines the word “victim” as “a person directly and proximately harmed as a result of the commission of an offense for which restitution may be ordered.” § 3663A(a)(2). Although a defendant’s conduct need not be the sole cause of the loss, “ ‘any subsequent action that contributes to the loss, such as an intervening cause, must be directly related to the defendant’s conduct. The causal chain may not extend so far, in terms of the facts or the time span, as to become unreasonable.’”
United States v. Peterson,
The MVRA also provides guidance regarding the calculation of the restitution amount. 18 U.S.C. § 3663A(b).
4
The ba
*601
sic rule is that the victim is entitled to be made whole.
See Gordon,
Using the framework set forth in § 3663A(b), we have developed some guidelines for calculating the restitution amount in a case involving a defendant’s fraudulent scheme to obtain secured real estate loans from lenders. Generally, district courts calculating a direct lender’s loss in this context begin by determining the amount of the unpaid principal balance due on the fraudulent loan, less the value of the real property collateral as of the date the direct lender took control of the property.
United States v. Hutchison,
These guidelines require some adjustment when a victim purchased a loan
*602
in the secondary market, that is, where the victim is the loan purchaser as opposed to the loan originator. In the language of § 3663A, the loan itself is the “property” that has lost value due to the fraudulent conduct of the defendant. Because the value of that loan is not necessarily its unpaid principal balance, but may vary with the value of the collateral, the credit rating of the borrower, market conditions, or other factors, the loan purchaser may have purchased the loan for less than its unpaid principal balance.
See United States v. Winstar Corp.,
Although district courts possess a “ ‘degree of flexibility in accounting for a victim’s complete losses,’” remand is appropriate where the restitution award lacks an adequate evidentiary basis and the district court failed to explain its reasoning.
United States v. Waknine,
A
We begin by considering Yeung’s arguments with respect to the two loans issued by Long Beach Mortgage Company to Ferrari. As noted above, the district court awarded Deutsche Bank, as trustee for the Long Beach Trust, an amount equal to the difference between the unpaid principal balance of the loans at the time of Ferrari’s default and the net proceeds from the sale of the collateral to a third party, *603 approximately sixteen months after Deutsche Bank obtained title to it in the foreclosure.
Yeung argues that the district court erred in awarding restitution to the Long Beach Trust because it is not the “victim” for purposes of the MVRA. We disagree. Here, the evidence showed that the Long Beach Trust purchased the two loans originally issued by Long Beach Mortgage Company before Yeung’s fraud had come to light. Further, the evidence showed that, due to Yeung’s conduct, the borrower for each loan had misrepresented his financial ability to repay the loan. Because the Long Beach Trust purchased the loan without an awareness of its true value due to Yeung’s fraud, the district court could reasonably conclude that Yeung’s fraudulent conduct proximately harmed the Long Beach Trust.
See, e.g., James,
Yeung next argues that the district court erred in calculating the amount of restitution owed with respect to these loans. The district court did not explain its reasons for calculating that Deutsche Bank was entitled to the difference between the $829,382 unpaid principal balanee of the loan and $363,863, the net proceeds that Deutsche Bank (as trustee for the Long Beach Trust) received from its sale of the collateral to a third party in 2008, more than sixteen months after it acquired title. The district court’s calculation raises two concerns.
First, the district court did not make a finding that the Long Beach Trust paid an amount equal to the unpaid principal balance of the loans when purchasing the loans, and the government witness acknowledged that she did not have any information on that point. In fact, there is no evidence in the record establishing the value of the loans at the time they were acquired by the Long Beach Trust. We disagree with the government’s assertion that documents filed with the Securities and Exchange Commission show that the loans were purchased for the amount of unpaid principal. The government concedes that these documents were never entered into evidence; accordingly, they cannot be used to support the government’s claims on appeal.
See, e.g., Bareamerica Int’l USA Trust v. Tyfield Imps., Inc.,
Second, Yeung argues that the district court erred in determining that the value of the collateral was $363,863, the net proceeds that Deutsche Bank (as trustee for the Long Beach Trust) received from its sale of the collateral to a third party in 2008, more than sixteen months after it acquired title. We agree. The property returned must be valued “as of the date the victim took control of the property,”
Davoudi
Even where the district court fails to make pertinent factual findings, we may uphold a restitution order when the basis of the district court’s calculations is clear.
Cf Peterson,
Because the district court did not provide reasoning to explain its determination of loss for purposes of § 3663A(b)(1)(B), and because the district court did not de
*605
termine the value of the collateral at the time Deutsche Bank took title, we must remand for the district court to recalculate and provide its reasoning for this award. See
Waknine,
B
We apply similar reasoning to Yeung’s argument that the district court erred in determining that the J.P. Morgan Trust was a victim, and in calculating the amount of restitution. As noted above, the district court awarded $388,544 to HSBC, as trustee for the J.P. Morgan Trust, an amount equal to the difference between the unpaid principal balance of the J.P. Morgan Chase loan at the time of Lam’s default and the net proceeds from the sale of the collateral to a third party approximately five months after the foreclosure. For the reasons explained above, we reject Yeung’s argument that the J.P. Morgan Trust was not a victim for purposes of the MVRA. See 18 U.S.C. § 3663A(a)(2). The evidence showed that the J.P. Morgan Trust purchased the loan originally issued by J.P. Morgan Chase Bank before Yeung’s fraud had come to light. Further, the evidence showed that, due to Yeung’s conduct, Lam (the borrower for the loan) had misrepresented his financial ability to repay the loan. Therefore, Yeung’s fraudulent conduct proximately harmed the J.P. Morgan Trust, and it was a “victim” for purposes of the MVRA.
However, as with the Ferrari loans, the district court did not explain its reasoning or point to any evidence establishing that the value of the loans held by the J.P. Morgan Trust was equal to the unpaid principal balance of the loan. Accordingly, we must remand to the district court to recalculate this value or explain its reasoning.
See Waknine,
We also agree with Yeung that the value of the real property collateral returned to the victim must be measured as of the date that Chase Home Finance LLC (in the name of HSBC, as trustee for the J.P. Morgan Trust) took title to the collateral at the foreclosure sale. Therefore, the district court erred in relying on the value of the collateral when it was sold to a third party several months later.
See Gossi,
C
Finally, we turn to the Cal State 9 loan to Lam. The district court did not abuse its discretion in holding that NCUA was a “victim” for purposes of the MVRA. The evidence presented at sentencing established that the initial lender, Cal State 9, lost the full amount of the loan and that its insurer, NCUA, took over the loss when Cal State 9 subsequently went into conservatorship. To the extent NCUA acquired all of Cal State 9’s loss, NCUA would qualify as a victim.
See Smith,
Yeung also argues that the district court erred by relying on hearsay evidence that Cal State 9 wrote off the loan as uncollectible before going into conservatorship. This argument fails. The Federal Rules of Evidence, including the rule against hearsay, do not apply to sentencing hearings,
see United States v. Littlesun,
Ill
District courts possess a great deal of flexibility in applying the MVRA to unique factual circumstances and conducting the calculation required by § 3663A(b)(1)(B).
See Gordon,
AFFIRMED IN PART, VACATED AND REMANDED IN PART.
Notes
. We affirm Yeung's conviction in a memorandum disposition filed concurrently with this opinion. In this opinion, we address only Yeung’s challenges to the restitution award.
. A “credit bid” is "a bid that offers to cancel the outstanding principal, interest, and related fees in return for title to the property.”
United States v. Green,
. The prior restitution statute, the Victim and Witness Protection Act of 1982 ("VWPA”), required courts to consider the economic circumstances of the defendant prior to ordering restitution, and the granting of restitution was discretionary, not mandatory.
See
18 U.S.C. § 3663. "With these exceptions, the two statutes are identical in all important respects, and courts interpreting the MVRA may look to and rely on cases interpreting the VWPA as precedent.”
See Gordon,
. The relevant portion of the MVRA reads a follows:
(b) The order of restitution shall require that such defendant—
(1) in the case of an offense resulting in damage to or loss or destruction of property of a victim of the offense—
(A) return the property to the owner of the property or someone designated by the owner; or
(B) if return of the property under sub-paragraph (A) is impossible, impracticable, or inadequate, pay an amount equal to—
(i) the greater of—
*601 (I) the value of the property on the date
of the damage, loss, or destruction; or
(II) the value of the property on the date of sentencing, less
(ii) the value (as of the date the property is returned) of any part of the property that is returned!)]
§ 3663A(b)(l).
. In her reply brief, Yeung argues for the first time that the district court erred in concluding that the Long Beach Trust was a victim because any losses it suffered were the result of the general collapse of the housing market, rather than Yeung's fraud. Arguments raised for the first time in a reply brief are waived.
United States v. King,
. We reject the government’s argument that the loan's originator, J.P. Morgan Chase Bank, transferred the loan to its own subdivision rather than selling it to a separate entity, because it is contrary to the evidence presented at sentencing, where the government’s expert testified that J.P. Morgan Chase Bank sold the Lam loan to the J.P. Morgan Trust, and that Chase Home Finance LLC handled the foreclosure proceedings on behalf of the trustee, HSBC Bank, for the J.P. Morgan Trust.
