An investment company has purchased $100 million of 10 percent annual coupon, 6-year Eurobonds.The bonds have a duration of 4.79 years at the current market yields of 10 percent.The company wishes to hedge these bonds with Treasury-bond options that have a delta of 0.7.The duration of the underlying asset is 8.82, and the market value of the underlying asset is $98,000 per $100,000 face value.Finally, the volatility of the interest rates on the underlying bond of the options and the Eurobond is 0.84. Using the above information, what will happen to the market value of the Eurobonds if market interest rates fall 1 percent to 9 percent?

Question

Quizplus · Accepted Answer

The change in the market value of the Eurobonds can be estimated using the duration formula: Change in Value = -Duration * Change in Yield * Initial Value. Here, the duration is 4.79, the change in yield is -0.01 (since rates fall by 1%), and the initial value is $100 million. Thus, the increase in market value is approximately $4,354,545.

An Investment Company Has Purchased $100 Million of 10 Percent