You are provided the following discount function data. Fit it to a cubic exponential system with knot

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You are provided the following discount function data. Fit it to a cubic exponential system with knot points every half year until and including t = 4.5 years. 

t 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 3.25 3.50 3.75 4.00 4.25 4.50 4.75 5.00 d(t)

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