The yield curve for default$-$free zero$-$coupon bonds is currently as follows:

Maturity YTM

$110\%$

$211\%$

$312\%$

a$)$ Assume that the expectation hypothesis is correct. What are the implied $1-$year rates in years $2$ and $3?$

Year $2$ : $11\%$ year $1$ : $10\%-=1\%$

Year $3$: $12$ Year $2$ :$11\%=1\%$

The implied rates are $1\%.$

b$)$ Assume that you buy a $2$y bond in the beginning of year $2.$ Its par value is $$1000.$ What is the bond$$s expected YTM and price?

I just need help with part B of the above question. Thank you!