* NZ stocks rise for eighth session, up 3.9% for week
* Australian energy stocks top weekly gainers, add 9%
* "Big four" banks add between 6.2% and 10% for week (Updates to close)
By Arundhati Dutta
Oct 9 (Reuters) - Australian shares posted their best week in six months on Friday, capping an eventful week that saw the government pledge billions to pull the economy out of recession and U.S President Donald Trump send mixed signals on COVID-19 relief measures.
The S&P/ASX 200 index .AXJO closed unchanged at 6,102.2 after flitting between small gains and losses throughout the session. For the week, it added 5.4%.
In New Zealand, the benchmark S&P/NZX 50 index .NZ50 climbed 0.4% to 12,280.54, extending gains to an eighth session and posting a record closing high. For the week, the index added 3.9%.
Calling the Australian benchmark's Friday move a "quiet end to a good week", Henry Jennings, a senior analyst and portfolio manager at Marcustoday Financial Newsletter, said the market was pausing to consolidate.
"There are too many unknowns out there this weekend, with stimulus and tweets from the White House to take any big bets," Jennings said.
Helping market sentiment further, Australia reported its second straight day without any COVID-19 deaths, the longest stretch without any fatalities from the virus in three months. major sub-indexes posted big gains for the week, with energy .AXEJ emerging as the top winner with a 9% rise after a week-long surge in oil prices. O/R
Heavyweights Woodside Petroleum WPL.AX and Santos STO.AX added about 9.5% each for the week.
Financials .AXFJ posted their best week in more than four months, with the "big four" banks advancing between 6.2% and 10%.
Jennings said banks were still enjoying the afterglow of the budget, with tax cuts announced likely to be beneficial for them.
The central bank's assertion that banks were strong enough to withstand the economic shock from the COVID-19 pandemic further assured investors. stocks .AXIJ posted a weekly gain of 7.8%, while miners .AXMM advanced 5.2%.