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SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 10-Q

Quarterly Report Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934

For the Quarterly Period Ended June 30, 2004

Commission File No. 0-50167

INFINITY PROPERTY AND CASUALTY CORPORATION

2204 Lakeshore Drive, Birmingham, Alabama 35209

(205) 870-4000

Indicate by check mark whether the Registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during the preceding 12 months and (2) has been subject to such filing requirements for the past 90 days.    Yes  x    No  ¨

Indicate by check mark whether the Registrant is an accelerated filer.    Yes  ¨    No  x

As of August 1, 2004, there were 20,657,287 shares of the Registrant’s Common Stock outstanding.

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INFINITY PROPERTY AND CASUALTY CORPORATION 10-Q

INDEX

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INFINITY PROPERTY AND CASUALTY CORPORATION 10-Q

PART I

FINANCIAL INFORMATION

ITEM 1

Financial Statements

INFINITY PROPERTY AND CASUALTY CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF EARNINGS

(In thousands, except per share data)

(unaudited)

See Notes to Consolidated Financial Statements

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INFINITY PROPERTY AND CASUALTY CORPORATION 10-Q

INFINITY PROPERTY AND CASUALTY CORPORATION AND SUBSIDIARIES

CONSOLIDATED BALANCE SHEETS

(In thousands)

See Notes to Consolidated Financial Statements

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INFINITY PROPERTY AND CASUALTY CORPORATION 10-Q

INFINITY PROPERTY AND CASUALTY CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS’ EQUITY

(In thousands)

(unaudited)

See Notes to Consolidated Financial Statements

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INFINITY PROPERTY AND CASUALTY CORPORATION 10-Q

INFINITY PROPERTY AND CASUALTY CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF CASH FLOWS

(In thousands)

(unaudited)

See Notes to Consolidated Financial Statements

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INFINITY PROPERTY AND CASUALTY CORPORATION 10-Q

INFINITY PROPERTY AND CASUALTY CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF CASH FLOWS

(In thousands)

(unaudited)

See Notes to Consolidated Financial Statements

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INFINITY PROPERTY AND CASUALTY CORPORATION 10-Q

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

Note 1 Formation of the Company

Infinity Property and Casualty Corporation (“Infinity” or the “Company”) was formed in September 2002 as an indirect wholly-owned subsidiary of American Financial Group, Inc. (“AFG”) to acquire and conduct, as a separate public company, AFG’s personal insurance business written through independent agents. Infinity operates through sixteen directly or indirectly wholly-owned personal auto insurance companies (collectively the “NSA Group”).

Through a reinsurance transaction effective January 1, 2003, Infinity assumed the personal lines business written through agents (the “Assumed Agency Business”) by AFG’s principal property and casualty subsidiary, Great American Insurance Company (“GAI”). GAI, in turn, transferred to Infinity assets (primarily investment securities) with a market value of $125.3 million, and GAI allows Infinity to continue to write standard and preferred insurance on policies issued by the same GAI companies that had previously issued such policies.

In February of 2003, AFG sold 12.5 million shares of Infinity in an initial public offering and sold its remaining 7.9 million shares in a secondary offering in December of 2003. In conjunction with the secondary offering, Infinity sold 170,829 previously unissued shares through an over-allotment option in January 2004.

Note 2 Basis of Presentation

The accompanying Consolidated Financial Statements are unaudited and should be read in conjunction with Infinity’s annual report on Form 10-K for the year ended December 31, 2003. This quarterly report on Form 10-Q, including the Notes to the Consolidated Financial Statements and Management’s Discussion and Analysis of Financial Condition and Results of Operations, focuses on Infinity’s financial performance since the beginning of the year.

These financial statements reflect certain adjustments necessary for a fair presentation of Infinity’s results of operations and financial position. Such adjustments consist of normal, recurring accruals recorded to accurately match expenses with their related revenue streams and the elimination of all significant inter-company transactions and balances. In addition, certain reclassification adjustments have been made to historical results to achieve consistency in presentation.

Certain accounts and balances within these financial statements are based upon management’s estimates and assumptions. The amount of reserves for claims not yet paid, for example, is an item that can only be recorded by estimation. Unrealized capital gains and losses on investments are subject to market fluctuations and managerial judgment is required in the determination of whether unrealized losses on certain securities are temporary or other-than-temporary (please refer to the “Critical Accounting Policies” section under Part I, Item 2 for an expanded discussion). Should actual results differ significantly from these estimates, the effects on Infinity’s results of operations could be material.

For these reasons and others, the results of operations for the periods presented can not necessarily be expected to indicate the Company’s results for the entire year.

The acquisition of the Assumed Agency Business has been accounted for at AFG’s historical carrying amount as a transfer of net assets between entities under common control in accordance with Statement of Financial Accounting Standards (“SFAS”) No. 141, “Business Combinations.”

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INFINITY PROPERTY AND CASUALTY CORPORATION 10-Q

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS - CONTINUED

Note 3 Stock-Based Compensation

Infinity’s Stock Option Plan and Restricted Stock Plan were established in 2002. There were two million and 500,000 shares of Infinity common stock (“Common Stock”) reserved for issuance under the Stock Option Plan and Restricted Stock Plan, respectively. Through June 30, 2004, Infinity has issued 639,180 options and 134,375 shares of restricted stock. Six-thousand options have been exercised or forfeited, leaving 633,180 outstanding as of June 30, 2004. Options generally become exercisable at the rate of 20% per year commencing one year after grant. For restricted stock awards, one-third of the shares vest on each of the first three anniversaries of the date of grant of the award.

As permitted under SFAS No. 123, “Accounting for Stock-Based Compensation,” Infinity accounts for stock options and other stock-based compensation plans using the intrinsic value method prescribed by Accounting Principles Board Opinion No. 25, “Accounting for Stock Issued to Employees.” The fair value of shares issued under Infinity’s Restricted Stock Plan is recorded as unearned compensation and expensed over the vesting periods of the awards. Under Infinity’s Stock Option Plan, options are granted to officers, directors and key employees at exercise prices equal to the fair value of the shares at the dates of grant. No compensation expense is recognized for stock option grants. On March 31, 2004, the Financial Accounting Standards Board proposed a new standard that would require recognition of compensation expense for employee stock options. Had the proposed standard been effective in its current form as of June 30, 2004, Infinity does not believe its actual results would have differed materially from the pro forma results shown below.

The following table illustrates the effect on net earnings (in thousands) and earnings per share had compensation cost related to stock options been determined and recognized based on “fair values” at grant dates consistent with the method prescribed by SFAS No. 123. For SFAS No. 123 purposes, the “fair values” were calculated using the Black-Scholes option pricing model. There is no single reliable method to determine the actual value of options at grant date. Accordingly, the actual value of the option grants may be higher or lower than the SFAS No. 123 “fair value.”

The following table illustrates the assumptions used to obtain the pro forma stock option expense figures.

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INFINITY PROPERTY AND CASUALTY CORPORATION 10-Q

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS – CONTINUED

Note 4 Derivatives

Infinity entered into an interest rate swap in July 2003 to hedge a portion of the variable interest rate on a $200 million term loan. Periodic changes in the fair value of the interest rate swap were recorded net of tax in unrealized gains and losses as permitted under the accounting rules set forth in SFAS No. 133, “Accounting for Derivative Instruments and Hedging Activities.” Infinity settled the interest rate swap in February 2004 in conjunction with the retirement of the term loan, and in doing so, recognized a pretax loss of $0.3 million.

At June 30, 2003, Infinity’s investments in equity securities included an investment in common stock warrants. Infinity adjusted these warrants to their market value of $0.9 million at June 30, 2003. The warrants were sold in September 2003.

Note 5 Computations of Earnings Per Share

The following table illustrates the reconciliation of the denominators in Infinity’s computations of basic and diluted earnings per common share (in thousands, except per share figures):

Note 6 Long-Term Debt

In February 2004, Infinity issued $200 million of Senior Notes (the “Senior Notes”). The net proceeds of $197.2 million were used to repay the $195.5 million balance due on the term loan and for general corporate purposes. Infinity recorded a $3.4 million loss on the term loan extinguishment, which represented the unamortized balance of previously capitalized debt issuance costs. The Senior Notes accrue interest at an effective rate of 5.55% and bear a coupon of 5.5%, payable semiannually. Issue costs of $2.1 million have been capitalized and will be amortized over the term of the Senior Notes. The fair value of the Senior Notes as of June 30, 2004 ($191.5 million) was calculated using a 150.5 basis point spread to the ten-year U.S. Treasury Note of 4.583%, which was obtained from Bloomberg, a national broker quotation network.

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS - CONTINUED

Note 7 Unrealized Gain on Marketable Securities

The change in unrealized gain on marketable securities for the six months ended June 30 included the following (in millions):

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INFINITY PROPERTY AND CASUALTY CORPORATION 10-Q

ITEM 2

Management’s Discussion and Analysis

of Financial Condition and Results of Operations

The information set forth below should be read in conjunction with “Forward-Looking Statements” below.

CRITICAL ACCOUNTING POLICIES

The preparation of financial statements requires management to make estimates and assumptions that can have a significant effect on amounts reported in the financial statements. As more information becomes known, these estimates and assumptions could change and thus impact amounts reported in the future. Management believes that the establishment of insurance reserves, the determination of “other than temporary” impairment on investments, and accruals for litigation are the areas where the degree of judgment required to determine amounts recorded in the financial statements make the accounting policies critical.

Insurance Reserves

Insurance reserves, or “Unpaid Losses and Loss Adjustment Expenses”, are management’s best estimate of the ultimate amounts that will be paid for all claims that have been reported up to the date of the current accounting period but that have not yet been paid, plus an estimate of claims that have occurred but have not yet been reported to the company (“incurred but not reported”, or “IBNR”), and the expenses to be paid to settle claims (allocated and unallocated loss adjustment expenses, or “ALAE” and “ULAE”).

Liabilities for the costs of losses and loss adjustment expenses (“LAE”) for both reported and unreported claims are estimated based on historical trends adjusted for changes in loss cost trends, underwriting standards, policy provisions, product mix and other factors. Estimating dollar amounts for unpaid losses and LAE is inherently judgmental and is influenced by factors that are subject to significant variation. Changes in underlying estimates or assumptions and the resulting adjustments to reserves are reflected in the results of operations in the periods in which estimates change.

Through the use of analytical reserve development techniques, including projections of ultimate paid losses, management makes regular adjustments to the ultimate amounts of reserves. Historical medical, hospitalization, material repair and replacement costs, general economic trends and the legal environment are examples of major factors taken into account in developing these estimates.

In developing IBNR reserve amounts, estimates are made of ultimate frequency, or number of claims per earned car year, and severity, or claim cost per earned car year (these are estimated by month or quarter as well). Frequency can be affected by factors such as driving patterns, gas prices, changes in classes of insured drivers, and weather events. Factors affecting the severity trend include medical and product repair cost trends, and litigation expense patterns.

Other than Temporary Unrealized Losses on Investments

Changes in the market values of investment securities are usually recorded as changes in unrealized gains or losses on investments, a component of shareholders’ equity. Net earnings are not affected until the disposition of a given security, the result of which is either a realized gain or loss.

Certain securities, however, experience an unrealized loss in an amount and for a period of time sufficient to require management to consider whether or not the condition is temporary. Infinity considers several factors in making these judgments, including its intent and ability to hold to maturity (in the case of debt securities), company prospects and credit-worthiness, general economic conditions, and other factors. Each situation differs in these areas and each requires an independent judgment as to whether or not to record an impairment charge. If an unrealized loss is deemed to be other than temporary, then an impairment charge is recorded in realized capital losses and the carrying value of the security is reduced to the new, lower value.

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Management’s Discussion and Analysis

of Financial Condition and Results of Operations - Continued