a$)$ What are APR $*$and$*$ APY rates of investment X that earns $0\mathrm{.}2\%$ per week, compounded weekly?

b$)$ Investment Y offers the same APR as investment X $($and the same length of the investment$),$ but the interest is compounded semi$-$annually. If rates for investment X and investment Y fairly compensate investors for inflation losses, losses of profitable opportunities, and risk $$ which of the two investments is likely riskier and why?