Find the value of the first payment

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Question - A student has to make four payments of a debt. The first is due in 1 month, the second and third in 6 months and the fourth in 12 months respectively. The first is half the size of the second and twice the size of the third payment, while the first and the last payments are the same.

If a student chooses to make repayments of $4000 in 12 months and $8,000 immediately, find the value of the first payment using 6 months as your focal date. Interest rate is 7% per annum compounded daily for the first 2 months, then 8% per annum compounded monthly for the following 4 months, and nominal rate of 10% continuously compounded for the rest of the year. Note: for this question, assume one month is equal to 30 days so there are 360 days in a year. Note: round your answer to the nearest whole number.

Reference no: EM133141437

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