By Douglas MacMillan And David Benoit 

Marissa Mayer on Tuesday is expected to unveil her plan for Yahoo Inc.'s valuable Asian assets, an announcement that could determine whether the embattled chief executive buys herself more time with shareholders or invites a bitter proxy battle that could threaten her job.

The Internet company plans to update shareholders on its remaining stakes in Alibaba Group Holding Ltd. and Yahoo Japan when it announces fourth-quarter earnings. After selling shares in Alibaba's initial public offering, Yahoo still owns 15% of the Chinese e-commerce giant and 35.5% of Yahoo Japan, which together make up the vast majority of Yahoo's current market capitalization of $46.4 billion.

Investors are hoping Yahoo has come up with a scheme to extract value from those assets while avoiding a tax bill of billions of dollars. Finance chief Ken Goldman told investors last October he's "optimistic" the company could avoid paying a full tax rate of 35% or more, as it has with all previous sales of Alibaba shares.

Activist investor Starboard Value LP has pressured Yahoo to minimize those taxes, calling for the company to essentially break itself into two distinct parts, one for its core business of Internet properties and the other for its holdings in Alibaba and Yahoo Japan. The investor advised spinning out that core business, leaving the parent company just holding the Asian assets.

This would leave Alibaba and others with the ability to acquire the Asian assets with a smaller tax bill than if Yahoo sold the assets out of the parent company. Such a split could include several other wrinkles, including the possibility that the spun-off core business could merge with AOL Corp., as Starboard has suggested. RBC Capital Markets analyst Mark Mahaney estimates Yahoo's core business is worth about $6.4 billion, compared with AOL's $3.8 billion current market value.

Jacqueline Reses, Yahoo's merger chief, ruled out the possibility of an AOL acquisition in comments she made at a technology conference last year. When asked if she thought AOL would be acquired in the next two years, she said, "Not by us."

Starboard said it's opposed to another option called a cash-rich split-off. In that transaction, Alibaba would create an entity that is worth roughly the same amount as Yahoo's stake in Alibaba. At least one-third of the value of that entity would need to be comprised of operating businesses and the remaining could be straight cash. This would allow Yahoo to trade the stake for mostly cash.

While a cash-rich split-off would also save significantly on the taxes Yahoo would pay if it just sold the shares back to Alibaba, Starboard says it would be less efficient than the spin options.

A lower tax bill would have a "material" impact on the value of Yahoo's business, Mr. Mahaney said. "For every 5 percentage points they can reduce [from the tax bill], it adds about $2 billion in value to Yahoo's market cap, or about $2 a share," Mr. Mahaney said.

"There are many people who think they can take that tax rate and cut it in half," he added.

Placating investors could buy Ms. Mayer more time to turn around the company's struggling display-ad business, which has declined in seven of the past eight consecutive quarters. Analysts expect total revenue in the fourth quarter to decline to $1.19 billion, excluding commissions paid to search partners, according to a mean of estimates by Thomson Reuters.

The CEO told employees in a memo earlier this month she aims to grow display-ad revenue in 2015, a goal she's likely to echo on a call with analysts Tuesday.

While revenue from desktop display ads continues to shrink, Yahoo has attempted to offset those declines by investing in newer ad businesses like mobile, social and video. The company has said it predicts Tumblr, the blogging platform it acquired for $1.1 billion in 2013, to contribute $100 million in sales this year.

Ms. Mayer attempted to accelerate Yahoo's efforts in mobile ads this year by reorganizing management and promoting Prashant Fuloria, a veteran Internet product manager who joined Yahoo last year when it bought his former employer, mobile-ad startup Flurry, to oversee all ad products at the company.

Yahoo is poised to surpass Twitter Inc. to become the third-largest mobile ad company in 2015, according to eMarketer Inc.

But if Ms. Mayer fails to deliver a tax deal that pleases investors, she could find these efforts complicated by a distracting proxy battle. Starboard founder Jeffrey Smith, who succeeded in replacing the entire board of directors at Darden Restaurants after a proxy fight last year, has threatened to mount a challenge to Ms. Mayer.

Ms. Mayer's lack of progress in turning around Yahoo could make her susceptible in such a fight, said Brian Wieser, an analyst at Pivotal Research Inc.

"The current management team really doesn't have much to stand on in terms of pointing to recent past successes," Mr. Wieser said. "I think most investors will be supportive of what Starboard is trying to do here."

Starboard hasn't disclosed the exact size of its Yahoo stake, but said it is a "significant" holder.

Write to Douglas MacMillan at douglas.macmillan@wsj.com and David Benoit at david.benoit@wsj.com

Access Investor Kit for Yahoo Japan Corp.

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