Fit a cubic splines framework to the following discount function values assuming two knot points at t

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Fit a cubic splines framework to the following discount function values assuming two knot points at t = 0.5 and t = 1 years.

t 0.35 0.70 1.05 1.40 1.75 d(t) 0.97 0.93 0.88 0.82 0.75

Explain your equations and the number of parameters you need to find. 

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