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Adam has 100000100000 with which he buys a perpetuity on January 1, 2008. Suppose that =0.045i=0.045 and the perpetuity has annual payments beginning January 1,

Adam has 100000100000 with which he buys a perpetuity on January 1, 2008. Suppose that =0.045i=0.045 and the perpetuity has annual payments beginning January 1, 2009. The first three payments are 20002000 each, the next three payments are 2000(1+)2000(1+r) each, , increasing forever by a factor of 1+1+r every three years. What is r?

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