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Smith just bought a 100,000 182-days Canadian T-bill at a quoted rate of 10% Find dP/di. Use the differential to approximate the change in price

Smith just bought a 100,000 182-days Canadian T-bill at a quoted rate of 10% Find dP/di. Use the differential to approximate the change in price of the T-bill if the yield rate change to 10.1% immediately aftter Smith purchases it

image text in transcribed

why we insert 10% not 10.1% and why we multiply with 182/365 again

or why we not insert i as 10%-10.1$

6:01 91% X Step 2 of 3 dP Find di. From part), you have differentiate both sides wc.dk P 100000 1828 de dP 100000 d 820 + S 1365 100000 182 substitute - 0.10 2 365 3650 100000 182 I+ (0.10 ad 820 365 1365 P. 45239.03 When the change in the price of T-bill if the yield rate changes to 10.1% immediately after Smith purchases it DPVP di Vi IP VP did Vi substitute the values = 45239,03 0.001) = 45.24 Thus, the change in the price of T-bill decreases by 45.24

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