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Marie needs to plan to fund the higher education of her daughter Liz. Liz is expected to begin her higher education 12 years from now,

Marie needs to plan to fund the higher education of her daughter Liz. Liz is expected to begin her higher education 12 years from now, for a period of five years. At current prices, this education is expected to cost Rs 10 lakhs p.a during the first year of college after which it will increase @5% p.a. because of higher costs of teaching material (non-inflationary reasons) in the higher classes. (First installment of education fee is due 12 years from now). Further, the current inflation of 4% (assumed to remain uniform all these years) is expected to increase cost of education over and above the above stated costs.

Marie is planning to start investing a fixed amount every year, starting three years from now, for 7 years. Given r (discount rate) = 8% EAR, how much should Marie invest p.a. so as to achieve the desired objective? The discount rate is a nominal discount rate.

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