* Brokerage shares best performers due to pension reform hopes * Exporters gain as yen falls near 5-year low * Fuji Heavy hits record high By Hideyuki Sano TOKYO, Sept 3 (Reuters) - Japanese shares hit a seven-month high on Wednesday, with financial shares leading the gains, in the hope a cabinet reshuffle by Prime Minister Shinzo Abe giving fresh impetus to his "Abenomics" growth-promoting policies.
Exporters' shares also rode high as the yen weakened to an eight-month low and solid U.S. manufacturing data boosted their business prospects, even though U.S. shares ended mixed the previous day.
The Nikkei share average rose 0.4 percent to 15,728.35, the third consecutive day of gains, which took the market to levels not seen since late January.
"The line-up of Abe's new cabinet and top party posts are positive for Japanese stocks on three fronts," said Ryota Sakagami, chief strategist at SMBC Nikko Securities.
"You can expect faster reforms. This will lead to unity in the party and strengthen his government, and the number of women in the main posts is the highest ever," he said.
The increase of female ministers is seen as a symbol of Abe's policy of promoting the female workforce, which some analysts say is the country's most underutilised resource.
The market was also focused on the appointment of Yasuhisa Shiozaki, a proponent of an overhaul of Japan's Government Pension Investment Fund (GPIF), as head the ministry of labour, health and welfare, which oversees the GPIF.
Shiozaki has called for the GPIF, which is drawing up plans to boost the weighting of domestic stocks in its portfolio, to buy stocks directly rather than through asset managers.
Hopes that GPIF money could galvanise the share market gave a fillip to brokerage shares, which rose 0.9 percent to extend their gains so far this week to 3.6 percent, the best showing among the 33 industry sub-indexes on the Tokyo Stock Exchange.
Nomura Holdings rose 0.8 percent while Daiwa Securities Group went up 1.0 percent.
The yen's fall against the dollar helped exporters.
Fuji Heavy Industries rose 3.0 percent, hitting a record high at one point while Mazda gained 0.6 percent.
Among the largest companies, Panasonic gained 1.8 percent and construction equipment maker Komatsu rose 1.3 percent, setting a 10-month high at one point. Robot maker Fanuc rose 1.8 percent.
The yen traded at 105.21 yen to the dollar, near a five-year low of 105.45 hit in January.
U.S. factory activity was at its strongest level in nearly 3-1/2 years in August, while construction spending rebounded strongly in July, a further boost for exporters.