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A portfolio manager holds USD 88 million face value of zero-coupon bonds maturing in 5 years and yielding 4%. The portfolio manager expects that interest
A portfolio manager holds USD 88 million face value of zero-coupon bonds maturing in 5 years and yielding 4%. The portfolio manager expects that interest rates will increase. To hedge the exposure, the portfolio manager wants to sell part of the 5 -year bond position and use the proceeds from the sale to purchase zerocoupon bonds maturing in 1.5 years and yielding 3%. Assuming continuous compounding, what is the market value of the 1.5 -year bonds that the portfolio manager should purchase to reduce the duration on the combined position to 3 years? A. USD 31.00 million B. USD 37.72 million C. USD 41.17 million D. USD 50.28 million
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