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1. if competition is keen, people are trying very hard to get an advantage over others doing the same thing:
• Business has become scarcer, competition keener and profit margins slimmer.
• These properties are likely to attract keen bidding in a buoyant property market.
— keenly adverb :• the keenly-competitive pasta sauce market
2. keen prices, rates etc are low when compared to competitors' prices etc:• London's present system provides keen prices for actively traded stocks.
• the opportunity to achieve the keenest interest rates
3. if someone is keen, they are very eager or interested in doing something:• Investors already have shown keen interest in the $100 million issue.
keen on• Japanese investors are keen on obtaining more foreign assets.
keen to do something• The Swiss group is said to be keen to buy a stake in the company.
— keenly adverb :• He is keenly interested in a possible deal.
Financial and business terms. 2012.