NO.PZ2021120102000006
问题如下：
An active fund trader seeks to capitalize on an expected steepening of the current upward-sloping yield curve using option-based fixed-income instruments.
Which of the following portfolio positioning strategies best positions her to gain if her interest rate view is realized?
选项：
A.
Sell a 30-year
receiver swaption and a 2-year bond put option.
B.
Purchase a 30-year receiver swaption and a 2-year bond put option.
C.
Purchase a 30-year payer swaption and a 2-year bond call option.
解释：
C is correct.
A steepening of the yield curve involves an
increase in the slope, or the difference
between long-term and short-term yields-to-maturity. An optimal portfolio
positioning strategy is one which combines a short duration exposure to
long-term bonds and a long duration exposure to short-term bonds.
Portfolio C involves the right (but not the obligation) to purchase a 2-year bond, which will increase in value as short-term yields fall with the right to pay-fixed on a 30-year swap, which increases in value if long-term yields rise. Portfolio A involves the sale of two options. Although they will expire unexercised in a steeper curve environment, the investor’s return is limited to the two option premia. Portfolio B is the opposite of Portfolio C, positioning the investor for a flattening of the yield curve.
请问老师A选项为什么不对，steepening是长期相对短期R更大，应该减少长期Duration，增加短期Duration，A选项后半句是Sell 2-year bond put option，是增加了Duration，前半句sell 30年receiver swaption是减少长期Duration，为什么不选A？
