Impact of convexity mismatch and yield curve shifts

Walkingonwater

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HI all,
What are the impacts of the following situations if convexity is mismatched between the assets and liabilities:
1) Asset convexity > Liability convexity and the yield curve shifts upwards
2) Asset convexity > Liability convexity and the yield curve shifts downwards
3)Asset convexity < Liability convexity and the yield curve shifts upwards
4) Asset convexity < Liability convexity and the yield curve shifts downwards
Im struggling to wrap my head around convextity impacts. See CFAI 2013 AM, Question 8 part D.
Also, In the 2013 AM, in parts C and D of question 7, the answer key references the WACC calculations. Something I thought we left back in L2. Am I the only one who thought this question came out of left field, and are we likely to see cost of capital questions in the actual exam>
 
assuming asset duration = Liability duration
Case 1: Asset Convexity = 5, Liability Convexity = 4 (AC > LC)
All the below are impact on Price due to Convexity Change
Rate falls 1% or rises 1%
– Asset rise in Price due to convexity = 0.0005, Liability Rise in Price = 0.0004
So if the two were 100M -> Asset Rise = 0.05 M, Liability Rise = 0.04M -. Surplus Rises 0.01 M
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Case 2: AC = 5, LC = 6 (AC < LC)
Rate falls or rises 1%
Surplus Falls 0.01 M (on a 100M Base)
 
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