The force of interest is given by: πΏ(π‘) = { 0.01 + 0.01π‘ 0 β€ π‘ < 4 0.15 β 0.003π‘ 2 4 β€ π‘ < 6 0.06 π‘ β₯ 6 (i) Find the expression for the value at time π‘ = 0 of a payment of $100 at time π‘.
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