Answer the following five questions related to the strategy used in LTCM$.$

Today is time t$.$ Two zero coupon bonds both have a face value of $100$ dollars, which means both bonds are expected to pay $$100$ at Maturity $($time T$).$ Bond A is liquid and is often traded by average institutional investors at zero transaction costs. Bond B is illiquid. Its total direct and indirect trading cost is $$5$ per trade $($either buy or sell$).$ Suppose an average$-$sized institutional trader who wants to own the two bonds will trade three times in either bond $($i$.$e$.,$ first buy it at t$,$ then sell it and buy it back again at some time between t and T$).$ The total transaction costs are $$15.$ Interest rate for discounting future bond price is zero for both bonds. In other words, everyone in this market is not risk averse. Please answer the following $5$ questions.

What should be the average trader$$s evaluation of the bond A and B price today?

$100,100$

$100,95$

$100,90$

$100,85$