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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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