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Table 1. Year Probability of surviving from start of year to end of year 1 0.75 2 0.58 3 0.37 4 0.23 5 0 d.

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Table 1.

Year Probability of surviving from start of year to end of year

1

0.75
2 0.58
3 0.37
4 0.23
5 0

d. [6marks] Jackson will use $50,ooo from the total sale proceed ofinstruments as a single premium to purchase an annuity today. This annuity pays X at the end of each year while Jackson is alive. The estimated probability of Jackson surviving for the next 5 years is stated in table I. The yield rate isyassumed to be J1-3.2% pa. Calculate X value. Round your answers to three decimal places. Draw a detailed contingent cash flow diagram for instrument D, from the perspective of Jackson. 2

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