10. Examine the prices of up-and-out puts with strikes of \($0.9\) and \($1.0\) in Table 3.

With barriers of \($1\) and \($1.05\), the 0.90-strike up-and-outs appear to have the same premium as the ordinary put. However, with a strike of 1.0 and the same barriers, the up-and-outs have lower premiums than the ordinary put. Explain why. What would happen to this pattern if we increased the time to expiration?