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The Laiterie de Coaticook in the Eastern Townships of Quebec produces several types of cheddar...

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The Laiterie de Coaticook in the Eastern Townships of Quebec produces several types of cheddar cheese. It markets this cheese in four varieties: aged 2 months, 9 months, 15 months, and 2 years. At the producer's store, 2 kg of each variety sell for the following prices: $7.50, $9.50, $11.00, and $12.00, respectively. Consider the cheese maker's decision whether to continue to age a particular 2-pound block of cheese. At 2 months, he can either sell the cheese immediately or let it age further. If he sells it now, he will receive $7.50 immediately. If he ages the cheese, he must give up the $7.50 today to receive a higher amount in the future. What is the IRR (expressed in percent per month) of the investment of giving up $75.00 today by choosing to store 20 kg of cheese that is currently 2 months old and instead selling 10 kg of this cheese when it has aged 9 months, 6 kg when it has aged 15 months, and the remaining 4 kg when it has aged 2 years

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