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Third-Party Reinsurance (Tables)
 12 Months Ended
Dec. 31, 2023
Reinsurance Disclosures [Abstract]  
Effects of reinsurance The following table summarizes the effects of reinsurance on written and earned premiums and on losses and LAE for the Ark/WM Outrigger segment for the years ended December 31, 2023, 2022 and 2021.
Year Ended December 31,
Millions202320222021
Written premiums:
Direct$931.9 $760.4 $619.5 
Assumed966.5 691.6 439.2 
Gross written premiums1,898.4 1,452.0 1,058.7 
Ceded(377.5)
(1)
(256.8)(199.6)
Net written premiums$1,520.9 $1,195.2 $859.1 
Earned premiums:
Direct$848.1 $655.5 $556.0 
Assumed925.6 668.7 330.4 
Gross earned premiums1,773.7 1,324.2 886.4 
Ceded(364.0)
(2)
(280.8)(249.1)
Net earned premiums$1,409.7 $1,043.4 $637.3 
Losses and LAE:
Gross$782.5 $814.9 $442.9 
Ceded(55.7)
(3)
(278.5)(128.1)
Net losses and LAE$726.8 $536.4 $314.8 
(1) The ceded written premiums exclude $110.0 ceded by Ark to WM Outrigger Re for the year ended December 31, 2023, which eliminate in White Mountains’s consolidated financial statements.
(2) The ceded earned premiums exclude $104.3 ceded by Ark to WM Outrigger Re for the year ended December 31, 2023, which eliminate in White Mountains’s consolidated financial statements.
(3) The ceded loss and LAE exclude $15.6 ceded by Ark to WM Outrigger Re for the year ended December 31, 2023, which eliminate in White Mountains’s consolidated financial statements.

The following table presents the Ark/WM Outrigger segment’s reinsurance recoverables as of December 31, 2023 and December 31, 2022:
Millions
December 31, 2023December 31, 2022
Reinsurance recoverables on unpaid losses
$340.8 
(1)
$505.0 
(3)
Reinsurance recoverables on paid losses
27.4 31.1 
Ceded unearned premiums
73.8 
(2)
59.2 
Reinsurance recoverables
$442.0 $595.3 
(1) The reinsurance recoverables on unpaid losses exclude $15.6 ceded by Ark to WM Outrigger Re as of December 31, 2023, which eliminate in White Mountains’s consolidated financial statements.
(2) The ceded unearned premiums exclude $5.7 ceded by Ark to WM Outrigger Re as of December 31, 2023, which eliminate in White
Mountains’s consolidated financial statements.
(3) The reinsurance recoverables on unpaid losses include $145.4 attributable to TPC Providers as of December 31, 2022, which are collateralized.
The following table presents a schedule of written premiums and earned premiums included in the HG Global/BAM segment for the years ended December 31, 2023, 2022 and 2021:
December 31,
Millions202320222021
Written premiums:
Direct$58.6 $63.8 $51.0 
Assumed— 1.3 4.6 
Gross written premiums (1)
$58.6 $65.1 $55.6 
Earned premiums:
Direct$28.7 $28.6 $23.2 
Assumed2.5 4.7 3.7 
Gross earned premiums (1)
$31.2 $33.3 $26.9 
(1) There are no ceded premium amounts in the periods presented, and gross earned premiums are equivalent to net written premiums and net earned premiums.
Gross and net reinsurance recoverables by reinsurers ratings
The following table presents the Ark/WM Outrigger segment’s gross and net reinsurance recoverables by each reinsurer’s A.M. Best Company, Inc (“A.M. Best”) rating as of December 31, 2023:

$ in MillionsAs of December 31, 2023
A.M. Best Rating (1)
Gross CollateralNet % of Total
A+ or better$204.0 $— $204.0 71.0 %
A- to A
76.2— 76.226.5 
B++ or lower and not rated88.0
(2)
80.7
(2)
7.32.5 
Total$368.2 $80.7 $287.5 100.0 %
(1) A.M. Best ratings as detailed above are: “A+ or better” (Superior) “A- to A” (Excellent), “B++” (Good).
(2) Excludes $15.6 ceded by Ark to WM Outrigger Re as of December 31, 2023, which eliminates in White Mountains’s consolidated financial statements.