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An investor pays 500 every half-year in advance into a 25-year savings plan. The rate of interest on the plan is 6% per annum effective

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An investor pays 500 every half-year in advance into a 25-year savings plan. The rate of interest on the plan is 6% per annum effective for the first 10 years, and 6% per annum convertible half- yearly for the final 15 years. Calculate the accumulated value in the fund at the end of the term. Expressed as annual effective rates, the interest rate agreed today for investment for one year and starting: today is 2.5%; in one year's time is 3.0%; and in two year's time is 3.5%. Calculate the current 1-year, 2-year and 3-year spot rates applying today, expressed as annual effective rates

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