# June Klein

June Klein, CFA, manages a $100 million (market value) U.S. government bond portfolio for an institution. She anticipates a small parallel shift in the yield curve and wants to fully hedge the portfolio against any such change.

Security Modified Duration Basis Point Value Conversion Factor Portfolio Value/future contract price

Portfolio 10 years 100,000.00 Non Applicable 100,000,000

Bond Futures Contract 8 years 75.32 1 94-05

a. Discuss two reasons for using futures rather than selling bonds to hedge a bond portfolio. No calculations required.

b. Formulate Klein's hedging strategy using only the futures contract shown. Calculate the number of futures contracts to implement the strategy. Show all calculations.

c. Determine how each of the following would change in value if interest rates increase by 10 basis points as anticipated. Show all calculations.

(1) The original portfolio

(2) The Treasury bond futures position

(3) The newly hedged portfolio

d. State three reasons why Klein's hedging strategy might not fully protect the portfolio against interest rate risk.

e. Describe a zero-duration hedging strategy using only the government bond portfolio and options on U.S. Treasury bond futures contracts. No calculations required.

Security Modified Duration Basis Point Value Conversion Factor Portfolio Value/future contract price

Portfolio 10 years 100,000.00 Non Applicable 100,000,000

Bond Futures Contract 8 years 75.32 1 94-05

a. Discuss two reasons for using futures rather than selling bonds to hedge a bond portfolio. No calculations required.

b. Formulate Klein's hedging strategy using only the futures contract shown. Calculate the number of futures contracts to implement the strategy. Show all calculations.

c. Determine how each of the following would change in value if interest rates increase by 10 basis points as anticipated. Show all calculations.

(1) The original portfolio

(2) The Treasury bond futures position

(3) The newly hedged portfolio

d. State three reasons why Klein's hedging strategy might not fully protect the portfolio against interest rate risk.

e. Describe a zero-duration hedging strategy using only the government bond portfolio and options on U.S. Treasury bond futures contracts. No calculations required.

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