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Cynthia Rose signs a loan with a Dutch bank. Cynthia receives 10 000 euro right now (t = 0), 20 000 euro one year later

Cynthia Rose signs a loan with a Dutch bank. Cynthia receives 10 000 euro right now (t = 0), 20 000 euro one year later (t = 1) and 30 000 euro another year later (t = 2). This loan should be paid back with 20 yearly payments, starting at t = 3. The payments reduce every year with 5%. Thus, if the first payment is - say - 1 000 euro then the next one is 950 euro, the third one is 902.5 euro, and so on. Cynthia and her bank agree that the interest rate is 6% for the first 5 years, 7% in the next 5 years and 8% in the remaining period of time. Calculate the yearly loan payments.

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