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2. A fund provided to an individual (x) pays out $4000 on the first day of December, March, and June, and $14,000 on the first

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2. A fund provided to an individual (x) pays out $4000 on the first day of December, March, and June, and $14,000 on the first day of each September for as long as (x) is alive. On Sept 1, right before the first payment, an annual annuity due of $1 is worth $26.50. If the force of interest is 6%, what is the EPV of this annuity? To approximate the value of a quarterly annuity, use the first two terms of Woolhouse's formula. (hint: create this annuity out of two CONSTANT annuities of different frequencies) 2. A fund provided to an individual (x) pays out $4000 on the first day of December, March, and June, and $14,000 on the first day of each September for as long as (x) is alive. On Sept 1, right before the first payment, an annual annuity due of $1 is worth $26.50. If the force of interest is 6%, what is the EPV of this annuity? To approximate the value of a quarterly annuity, use the first two terms of Woolhouse's formula. (hint: create this annuity out of two CONSTANT annuities of different frequencies)

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