Chapter 27 — Exercises

Work these without looking back at the chapter first; then check yourself. Items marked † have full worked solutions in the answers appendix. There are no answers in this file. The mix is recall, applied reasoning, evidence interpretation, "spot the overstatement," ethics, and a cold-case extension.

A. Recall and definitions

  1. Define forensic accounting in one sentence, and state the single feature that most distinguishes it from a routine external audit.

  2. Distinguish fraud examination from forensic accounting generally. What question does a fraud examiner start from that an assurance auditor does not?

  3. † Name and define the three legs of the fraud triangle. For each leg, give the one investigative question it tells you to ask.

  4. Define money laundering and name its three conventional stages in order. State, in a phrase, what each stage is trying to accomplish.

  5. Define the audit trail. What does it let an examiner answer that a simple account balance does not?

  6. Define asset tracing and give the two distinct reasons (one about recovery, one about proof) a forensic accountant performs it.

  7. State Benford's law in one sentence, including the approximate frequency with which the digit 1 leads versus the digit 9.

  8. Name the three families of occupational fraud (the professional taxonomy) and rank them from most frequent to most costly per case. What is paradoxical about that ranking?

B. Applied reasoning

  1. † A small two-person renovation partnership has no segregation of duties: one partner sources suppliers, approves invoices, signs checks, and keeps the books. Using §27.2, explain which leg of the fraud triangle this most directly opens, and name two specific schemes the arrangement makes available.

  2. Explain the net-worth method and the source-and-application-of-funds method in your own words. For each, state the one kind of innocent explanation that, if true, would defeat the inference.

  3. A launderer runs criminal cash through three banks, two shell companies, and an offshore account before buying property. Identify which laundering stage this describes, and explain why — counterintuitively — all this movement makes the money easier, not harder, to trace once an investigator has subpoena power.

  4. † A subcontractor is paid entirely in unrecorded cash and never deposits it, spending slowly from a safe. He has "skipped" a laundering stage. Name it, and explain why skipping it makes a net-worth analysis of his lifestyle more revealing rather than less.

  5. Why is it said that money laundering "relocates" evidence rather than destroying it? List three record types that the act of laundering itself creates.

  6. A fraudster shreds a company's paper ledgers and wipes the owner's laptop the night before investigators arrive. Explain, using §27.4, why this is likely to strengthen the financial case against him rather than weaken it. Name the legal concept that attaches to destroying evidence.

  7. Distinguish a financial indicator from a financial finding. Give one example of an anomaly that is a legitimate red flag and has a common innocent explanation.

C. Benford's law and anomaly detection

  1. † Write the Benford expected-frequency formula for the first digit $d$, and use it to state (no calculator needed — reason from the chapter's chart) why the distribution is a smooth decline rather than a flat ~11% across all nine digits.

  2. Re-read Figure 27.2 (the manager's reimbursements). The chart shows too few 1s and a spike at 4 and 5. Give the threshold-gaming explanation the chapter offers, and state precisely what the Benford screen did and did not accomplish.

  3. List three kinds of perfectly honest datasets to which Benford's law does not apply, and for each say why applying it would manufacture a false alarm.

  4. A sophisticated fraudster reads about Benford's law and fabricates invoice amounts whose leading digits match the expected distribution. What does this defeat, and what does it tell you about relying on the screen alone?

  5. † An analyst runs a first-two-digits Benford test (rather than first-digit) on accounts payable. Explain why the first-two-digits test is especially good at catching transactions structured just under an approval threshold (e.g., a \$500 sign-off limit).

  6. Why do practitioners use a statistical goodness-of-fit measure rather than "eyeballing" the bar chart to decide whether a distribution deviates from Benford? What does the formal test give you that the eyeball does not?

D. Spot the overstatement / junk-science alert

  1. A prosecutor's slide reads: "The defendant's renovation figures violate Benford's law — therefore the books are fabricated." Identify the specific logical error (name the analogous overstatement from elsewhere in the book), and rewrite the claim as an honest expert could state it.

  2. † An expert testifies: "Mr. Keller was the beneficiary of a large policy on the victim's life and was deeply in debt, which proves he had his partner killed." Name the part of this sentence the expert is not entitled to say and why (reference the ultimate-issue problem, Chapter 30), and give the defensible version.

  3. A report computes a precise figure of embezzled funds to the dollar but never states its assumptions, the records it could not obtain, or the innocent explanations it tested. List the missing elements that should make a reader distrust the figure.

  4. A television investigator glances at a single odd invoice and announces "the whole company is a fraud." Using §27.4, give two reasons real businesses contain irregular-looking entries that are not fraud.

  5. "He had no obvious financial motive, so he must be innocent." Explain why this is weak reasoning, and give one reason a person might commit a crime that leaves no financial trace.

E. Ethics and reasoning

  1. † A forensic accountant is told by the lead detective, before examining the records, that "Keller is good for it — find the money." Using the Cognitive-Bias Watch in §27.2 (and previewing Chapter 31), explain the confirmation-bias risk specific to financial reconstruction, and describe a safeguard. Is a motive the analyst went looking for, having already chosen a suspect, worth more or less than one the records surrendered on their own?

  2. Forensic accounting can both build a motive and dismantle one. Describe a scenario in which examining the records would exclude a person who superficially appeared to have a strong financial motive, and explain why that exclusion is as valuable as building a motive (tie to Chapter 1, §1.6).

  3. A defense expert and a prosecution expert reach different estimates of a defendant's net worth from the same incomplete records. Is this necessarily a sign that one is dishonest? Explain, by analogy to how reconstructed inputs produce honest ranges elsewhere in the book.

  4. Why should a court weigh the fact that financial motive is shared by many innocent people when evaluating a motive argument? Connect this to the base-rate error behind the prosecutor's fallacy (Chapter 9).

F. Synthesis and the validity spectrum

  1. † Place these on the NAS 2009 / PCAST 2016 validity reasoning, justifying each: single-source nuclear DNA (Chapter 7); a Benford's-law screen used to direct an examination (this chapter); a Benford "violation" offered as proof of fabrication (this chapter); bite-mark "matching" (Chapter 16, previewed). Explain why the same Benford analysis can be sound or junk depending on the claim made for it.

  2. Explain how this chapter advances at least two of the book's four themes (exclusion over proof; the validity spectrum; cognitive bias; the CSI effect cutting both ways). Name which themes and how.

  3. Financial evidence in this case is independent of the pathology finding that Diallo was dead before the fire (Chapter 11). Explain why that independence is a strength when the threads are assembled (Chapter 39), and what would be lost if the accountant's conclusion secretly depended on the pathologist's.

G. Cold-case extension

  1. † Cold Case. Using only what the financial reconstruction establishes, write the entry you would add to the Mill Creek evidence log (Appendix I). State (a) the defensible finding at its true strength, (b) the honest verb, (c) at least three things this evidence specifically does not establish, and (d) why you decline to convert "strongest financial motive" into a statement about who killed Diallo.

  2. Cold Case extension. The Benford screen of the renovation books flagged anomalous cost entries. Propose two concrete next steps a forensic accountant would take to move from "statistically anomalous" to a defensible statement about the books, and state what each step adds.

  3. Cold Case, integrative. The chapter establishes motive. List two other evidence types from earlier chapters that would supply opportunity and means, and explain in one sentence why motive must converge with them before anything stronger than "person of interest" can be said about Keller.

H. Short writing

  1. In 150–200 words, explain to a juror why "following the money" is often the most durable evidence in a case and why a strong financial motive is never the same thing as proof of guilt.

  2. † In 150–200 words, contrast the evidentiary logic of a Benford's-law screen with that of a confirmatory laboratory test (e.g., GC-MS, Chapter 23): what does each entitle you to claim, where does each belong in an investigation, and what is the cost of treating the screen as the confirmation?