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Agreements (Details) - USD ($)	3 Months Ended		6 Months Ended
	Mar. 31, 2024	Mar. 31, 2023	Mar. 31, 2024	Mar. 31, 2023	Sep. 30, 2023
Agreements [Line Items]
Administrator expenses	$ 57,550	$ 77,937	$ 135,402	$ 155,821
Administrator expenses payable	75,000		75,000
Accrual expenses	504,890		809,690
Administration Agreement [Member]
Agreements [Line Items]
Administrator expenses	100,000	$ 100,000	100,000	$ 200,000
Administrator expenses payable	$ 100,000		$ 100,000		$ 0
Minimum [Member]
Agreements [Line Items]
Performance based executive compensation target award percentage			0.00%
Net asset value per share performance goal percentage				30.00%
Maximum [Member]
Agreements [Line Items]
Performance based executive compensation target award percentage				200.00%
Net asset value per share performance goal percentage				70.00%
Target Level of Performance
Agreements [Line Items]
Performance based executive compensation target award percentage				100.00%
Maximum Level of Performance
Agreements [Line Items]
Performance based executive compensation target award percentage				200.00%

X

- Definition

Amount of expense for fund administrative services.

+ References

No definition available.

+ Details

Name:	pfx_AdministrativeServicesExpense
Namespace Prefix:	pfx_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Amount of accrued administrator expenses payable.

+ References

No definition available.

+ Details

Name:	pfx_AdministratorExpensesPayable
Namespace Prefix:	pfx_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- References

No definition available.

+ Details

Name:	pfx_AgreementsLineItems
Namespace Prefix:	pfx_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Performance goal percentage of Net Asset Value per share.

+ References

No definition available.

+ Details

Name:	pfx_NetAssetValuePerSharePerformanceGoalPercentage
Namespace Prefix:	pfx_
Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Percentage of performance based executive compensation.

+ References

No definition available.

+ Details

Name:	pfx_PerformanceBasedExecutiveCompensationTargetAwardPercentage
Namespace Prefix:	pfx_
Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The amount of loss reported during the period pertaining to product liability.

+ References

No definition available.

+ Details

Name:	us-gaap_ProductLiabilityAccrualPeriodExpense
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Details

Name:	us-gaap_RelatedPartyTransactionAxis=pfx_AdministrationAgreementMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	pfx_LevelOfPerformanceAxis=pfx_TargetLevelOfPerformanceMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	pfx_LevelOfPerformanceAxis=pfx_MaximumLevelOfPerformanceMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: