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Fair Value of Financial Instruments - Assets and Liabilities Carrying at Fair Value on Recurring Basis (Detail) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2014
Sep. 30, 2013
Fair Value Assets And Liabilities Measured On Nonrecurring Basis [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers, Net $ 5.2 [1] $ 19.1 [2] $ 0.0  
Assets        
Cash and cash equivalents 497.3 661.2 728.8 $ 677.0
Fixed maturity securities, available-for-sale:        
Asset Backed Loans And Other Invested Assets 35.0 226.7    
Funds Withheld Receivable 1,650.4 1,710.1    
Assets, Fair Value Disclosure 78.1 91.6    
Corporate Debt Securities [Member]        
Fair Value Assets And Liabilities Measured On Nonrecurring Basis [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers, Net     0.0  
Other invested assets        
Fair Value Assets And Liabilities Measured On Nonrecurring Basis [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers, Net 0.0 [1] 19.1 [2]    
Estimate of Fair Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets [3] 8.5      
Asset Backed Loans And Other Invested Assets [3] 35.0 226.7    
Liabilities        
Debt Instrument, Fair Value Disclosure [3],[4] 5,729.2 6,170.1    
Derivatives, Liabilities        
Liabilities Related to Investment Contracts, Fair Value Disclosure [3] 922.9 960.3    
Reported Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets [3] 8.5      
Asset Backed Loans And Other Invested Assets [3] 35.0 226.7    
Liabilities        
Debt Instrument, Fair Value Disclosure [3],[4] 5,430.9 5,984.6    
Derivatives, Liabilities        
Liabilities Related to Investment Contracts, Fair Value Disclosure [3] 988.3 1,084.5    
Policy Loans [Member] | Estimate of Fair Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets [3]   9.0    
Policy Loans [Member] | Reported Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets [3]   9.0    
Other invested assets | Estimate of Fair Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets [3]   2.5    
Other invested assets | Reported Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets [3]   2.5    
Fair Value, Inputs, Level 2 [Member]        
Liabilities        
Debt Instrument, Fair Value Disclosure [3],[4] 5,700.1 6,071.0    
Fair Value, Inputs, Level 3 [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets [3] 8.5      
Asset Backed Loans And Other Invested Assets [3] 35.0 226.7    
Liabilities        
Debt Instrument, Fair Value Disclosure [3],[4] 29.1 99.1    
Derivatives, Liabilities        
Liabilities Related to Investment Contracts, Fair Value Disclosure [3] 922.9 960.3    
Fair Value, Inputs, Level 3 [Member] | Policy Loans [Member]        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets [3]   9.0    
Fair Value, Inputs, Level 3 [Member] | Other invested assets        
Fixed maturity securities, available-for-sale:        
Policy loans and other invested assets [3]   2.5    
Fair Value, Measurements, Recurring        
Fixed maturity securities, available-for-sale:        
Funds Withheld Receivable 1,535.1 1,638.1    
Fair Value, Measurements, Recurring | Corporate Debt Securities [Member]        
Fixed maturity securities, available-for-sale:        
Available-for-sale Securities 0.0 14.1    
Fair Value, Measurements, Recurring | Call Options Within Funds Withheld Receivable [Member]        
Derivatives, Assets        
Derivatives 11.3 5.4    
Fair Value, Measurements, Recurring | Foreign exchange forward agreements        
Derivatives, Liabilities        
Derivative Liability 2.0 12.6    
Fair Value, Measurements, Recurring | Commodity Option [Member]        
Derivatives, Assets        
Derivatives 2.9 0.0    
Derivatives, Liabilities        
Derivative Liability 0.1 5.6    
Fair Value, Measurements, Recurring | Call options        
Derivatives, Assets        
Derivatives 5.9 1.0    
Fair Value, Measurements, Recurring | Interest Rate Swap [Member]        
Derivatives, Liabilities        
Derivative Liability 1.1 2.6    
Fair Value, Measurements, Recurring | Estimate of Fair Value Measurement [Member]        
Fixed maturity securities, available-for-sale:        
Assets, Fair Value Disclosure, Recurring 1,561.0 1,700.2    
Derivatives, Liabilities        
Liabilities, Fair Value Disclosure, Recurring 766.2 792.3    
Fair Value, Measurements, Recurring | Estimate of Fair Value Measurement [Member] | Front Street Future Policyholder Benefits Reserve [Member]        
Derivatives, Liabilities        
Derivative Liability 631.8 629.2    
Fair Value, Measurements, Recurring | Foreign exchange contracts | Foreign exchange forward agreements        
Derivatives, Assets        
Derivatives 5.8 6.0    
Fair Value, Measurements, Recurring | Equity securities        
Fixed maturity securities, available-for-sale:        
Trading Securities 0.0 32.8    
Fair Value, Measurements, Recurring | Other invested assets        
Fixed maturity securities, available-for-sale:        
Other invested assets 0.0 2.8    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 1        
Fixed maturity securities, available-for-sale:        
Funds Withheld Receivable 69.9 8.4    
Assets, Fair Value Disclosure, Recurring 69.9 41.2    
Derivatives, Liabilities        
Liabilities, Fair Value Disclosure, Recurring 0.0 0.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 1 | Call Options Within Funds Withheld Receivable [Member]        
Derivatives, Assets        
Derivatives 0.0 0.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 1 | Call options        
Derivatives, Assets        
Derivatives 0.0 0.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 1 | FIA embedded derivatives, included in contractholder funds        
Derivatives, Liabilities        
Derivative Liability 131.2 142.3    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 1 | Front Street Future Policyholder Benefits Reserve [Member]        
Derivatives, Liabilities        
Derivative Liability   0.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 1 | Equity securities        
Fixed maturity securities, available-for-sale:        
Trading Securities 0.0 32.8    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 1 | Other invested assets        
Fixed maturity securities, available-for-sale:        
Other invested assets 0.0 0.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 2 [Member]        
Fixed maturity securities, available-for-sale:        
Funds Withheld Receivable 1,387.1 1,555.0    
Assets, Fair Value Disclosure, Recurring 1,413.0 1,567.4    
Derivatives, Liabilities        
Liabilities, Fair Value Disclosure, Recurring 3.2 20.8    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 2 [Member] | Corporate Debt Securities [Member]        
Fixed maturity securities, available-for-sale:        
Available-for-sale Securities 0.0 0.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 2 [Member] | Call Options Within Funds Withheld Receivable [Member]        
Derivatives, Assets        
Derivatives 11.3 5.4    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 2 [Member] | Foreign exchange forward agreements        
Derivatives, Liabilities        
Derivative Liability 2.0 12.6    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 2 [Member] | Commodity Option [Member]        
Derivatives, Assets        
Derivatives 2.9 0.0    
Derivatives, Liabilities        
Derivative Liability 0.1 5.6    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 2 [Member] | Call options        
Derivatives, Assets        
Derivatives 5.9 1.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 2 [Member] | Interest Rate Swap [Member]        
Derivatives, Liabilities        
Derivative Liability 1.1 2.6    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 2 [Member] | Foreign exchange contracts | Foreign exchange forward agreements        
Derivatives, Assets        
Derivatives 5.8 6.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 3 [Member]        
Fixed maturity securities, available-for-sale:        
Funds Withheld Receivable 78.1 74.7    
Assets, Fair Value Disclosure, Recurring 78.1 91.6    
Derivatives, Liabilities        
Liabilities, Fair Value Disclosure, Recurring 763.0 771.5    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 3 [Member] | Corporate Debt Securities [Member]        
Fixed maturity securities, available-for-sale:        
Available-for-sale Securities 0.0 14.1    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 3 [Member] | Call Options Within Funds Withheld Receivable [Member]        
Derivatives, Assets        
Derivatives 0.0 0.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 3 [Member] | Call options        
Derivatives, Assets        
Derivatives 0.0 0.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 3 [Member] | FIA embedded derivatives, included in contractholder funds        
Derivatives, Liabilities        
Derivative Liability 131.2 142.3    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 3 [Member] | Foreign exchange contracts | Foreign exchange forward agreements        
Derivatives, Assets        
Derivatives   0.0    
Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 3 [Member] | Other invested assets | Other invested assets        
Fixed maturity securities, available-for-sale:        
Other invested assets 0.0      
Discounted Cash Flow [Member] | Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 3 [Member]        
Fixed maturity securities, available-for-sale:        
Other invested assets 0.0 2.8    
Funds Withheld Receivable 5.4 19.2    
Discounted Cash Flow [Member] | Fair Value, Measurements, Recurring | Fair Value, Inputs, Level 3 [Member] | Front Street Future Policyholder Benefits Reserve [Member]        
Derivatives, Liabilities        
Derivative Liability 631.8 629.2    
Broker Quoted [Member] | Fair Value, Inputs, Level 3 [Member] | Corporate Debt Securities [Member]        
Fixed maturity securities, available-for-sale:        
Assets, Fair Value Disclosure $ 0.0 $ 14.1    
Contingent Purchase Price Reduction Receivable [Member]        
Fair Value Assets And Liabilities Measured On Nonrecurring Basis [Line Items]        
Fair Value, Measurement with Unobservable Inputs Reconciliation, Recurring Basis, Asset, Transfers, Net     $ 0.0  
[1] (a) During Fiscal 2016, the net transfer to Level 3 was exclusively from Level 2. The transfers into Level 3 were related to changes in the primary pricing source and changes in the observability of external information used in determining the fair value.
[2] (a) During Fiscal 2015, the net transfer to Level 3 was related to a loan receivable previously classified as a related party loan.
[3] The carrying amounts of cash and cash equivalents, trade receivables, accounts payable and accrued investment income approximate fair value due to their short duration and, accordingly, they are not presented in the tables above. (b) The fair values of debt set forth above are generally based on quoted or observed market prices.
[4] The fair values of debt set forth above are generally based on quoted or observed market prices.