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Other Investments (Tables)
 12 Months Ended
Dec. 31, 2017
Investments, All Other Investments [Abstract]  
Components of other investments
Other investments comprised the following at December 31, 2017 and 2016. See Note 1(c), "Significant Accounting Policies - Investments - Other Investments," for a description of our accounting policy for these assets:
Year ended December 31,
(U.S. dollars in thousands)
2017
 
2016
Hedge funds
$
205,770

 
$
331,972

Private investments
191,986

 
175,579

Overseas deposits
570,742

 
493,594

Structured transactions
172,982

 
142,698

Other
22,383

 
20,721

Total other investments
$
1,163,863

 
$
1,164,564
Analysis of net realized and unrealized gains
The following represents an analysis of the net unrealized gains for the indicated years ended December 31, 2017 and 2016, and the net realized gains as of December 31, 2017, 2016 and 2015, on the Company's hedge funds and private investments:
Year ended December 31,
(U.S. dollars in thousands)
Net Unrealized Gains (Losses)
 
Net Realized Gains (Losses)
2017
 
2016
 
2017
 
2016
 
2015
Hedge funds
$
100,103

 
$
134,114

 
$
15,322

 
$
12,212

 
$
12,769

Private investments
60,624

 
36,775

 
13,994

 
8,636

 
9,342

Total
$
160,727

 
$
170,889

 
$
29,316

 
$
20,848

 
$
22,111