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A financial institution that has assets of $1 million invested in a 20-year, 8% semiannual coupon Treasury bond selling at par. The financial institution has
A financial institution that has assets of $1 million invested in a 20-year, 8% semiannual coupon | |||||||||
Treasury bond selling at par. The financial institution has liabilities of $900,000 financed | |||||||||
through a 3-year, 6.15% semiannual coupon note selling at par. | |||||||||
a) | Calculate duration, modified, and convexity for the 20-year bond | ||||||||
t | CF | DF | PV | PV x t | PV x t x (t + .5) | Notational value | |||
0.5 | Coupon rate (APR) | ||||||||
1.0 | Years | ||||||||
Duration | |||||||||
Modified Duration | |||||||||
Convexity | |||||||||
OR | |||||||||
Bond price at -.01% | |||||||||
Bond price at + .01%% | |||||||||
-P (at higher rate) | |||||||||
+P (at lower rate) | |||||||||
-P/P | |||||||||
+P/P | |||||||||
Convexity | |||||||||
** Since the Treasury / note are selling at par, | |||||||||
YTM = coupon rate ** | |||||||||
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