You may want to wait a couple of months before trying to book this for next year. The return date is too far out for many sites such as itasoftware.com to search on.
Using itasoftware.com based on your outbound and the latest return they will give me. I'm finding on Asiana:
Outbound
PHP Code:
Denpasar Bali (DPS) to Seoul (ICN) - Mon, May 5
Asiana 764 Dep: 3:00AM Arr: 10:55AM 6h 55m Boeing 767 Business (U)
Layover in ICN
Seoul (ICN) to Los Angeles (LAX) - Mon, May 5
Asiana 202 Dep: 4:30PM Arr: 11:30AM 11h 0m Boeing 747 Business (U)
Return
PHP Code:
Los Angeles (LAX) to Seoul (ICN) - Thu, Jun 5
Asiana 201 Dep: 1:10PM Arr: 6:10PM 13h 0m Boeing 747 Business (U)
Layover in ICN Fri, Jun 6 49h 20m
Seoul (ICN) to Denpasar Bali (DPS) - Sun, Jun 8
Asiana 763 Dep: 7:30PM Arr: 1:40AM, Mon, Jun 9 7h 10m Boeing 767 Business (U)
With the following fare construction:
Fare 1: Carrier OZ ULE6MID DPS to LAX (rules)
Passenger type ADT, round trip fare, booking code U
Covers DPS-ICN (Business), ICN-LAX (Business) $1,945.00
Fare 2: Carrier OZ ULE6MID LAX to DPS (rules)
Passenger type ADT, round trip fare, booking code U
Covers LAX-ICN (Business), ICN-DPS (Business) $1,945.00
USDA APHIS Fee (XA) $5.00
US Immigration Fee (XY) $7.00
US Customs Fee (YC) $5.50
Rep. of Korea Intl. PSC, Dep. Tax and Contribution to Intl. Poverty Eradication (BP) $33.50
OZ YQ surcharge (YQ) $240.00
OZ YQ surcharge (YQ) $3.60
US International Arrival Tax (US) $17.20
US International Departure Tax (US) $17.20
US September 11th Security Fee (AY) $2.50
US Passenger Facility Charge (XF) $4.50
Subtotal per passenger $4,226.00
Number of passengers x1
Total airfare & taxes $4,226.00
DPS OZ X/SEL OZ LAX 1945.00ULE6MID OZ SEL OZ DPS 1945.00ULE6MID NUC 3890.00 END ROE 1.00 XT 33.50BP 5.50YC 7.00XY 5.00XA 34.40US 2.50AY 243.60YQ 4.50XF LAX4.50
This is presuming the fare is being purchased from DPS in USD.