Given a $90,000 182-day Canadian T-Bill and its quoted yield is 8.82%

1. What is the price P today?

2. Find dp/di, the derivative of the previous result from the question 1 above, with respect 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 0.002 (i.e. 0.2%) immediately after the T-Bill was purchased.

3. For the T-Bill in question 1 above, what value does dp/di approach as one gets closer and closer to the maturity date?