* Koizumi would be youngest modern PM, Takaichi first woman * Next leader will head LDP without parliamentary majority * Investors wary of spending pledges designed to win back voters * Vote result expected around 0600 GMT * Read our Live coverage here (Adds details on voting in paragraphs 7-8, quotes from Koizumi in paragraphs 9-10, Takaichi quote in 12-13) By Tim Kelly, John Geddie and Satoshi Sugiyama TOKYO, Oct 4 (Reuters) – Japan's next prime minister is likely to be the nation's first female leader or the youngest premier in 140 years as the ruling party held a runoff vote for leader on Saturday. The Liberal Democratic Party was choosing between hardline nationalist Sanae Takaichi, 64, and the telegenic political scion Shinjiro Koizumi, 44, to regain trust from a public angered by ri

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