Problem #$5$: Find $\frac{dP}{di},$ the derivative of the previous result from Problem #$4$ above, with respect Problem #$6$: For the T$-$Bill in question $4$ above, what value does $\frac{dP}{di}$ approach as one gets

closer and closer to the maturity date?

to the quoted yield $i.$ Use this derivative to approximate the change in the price of

the T$-$Bill if the yield were to have decreased by $0\mathrm{.}002($i$.$e$.0\mathrm{.}2\%)$ immediately

after the T$-$Bill was purchased.

NOTE PROBLEM #$4$: What is the price P today of a $$140,000182-$day Canadian T$-$Bill if its quoted yield is $9\mathrm{.}82\%?$ THE ANSWER IS $$133464\mathrm{.}83$