Problem $1(12\mathrm{.}5$ pts$)$

Lana and Ryan are considering buying treasury bills. Lana wants to buy a US Treasury Bill that has an effective annual yield equal to $4\mathrm{.}3\%$ and $150$ days to maturity. Ryan wants to buy a Canadian Treasury Bill that has an effective annual yield equal to $3\mathrm{.}2\%$ and $120$ days to maturity.$$

A$.$ What is the bank discount yield on the Treasury Bill purchased by Lana? $(2\mathrm{.}5$ pts$)$

B$.$ What is the bond equivalent yield on the Treasury Bill purchased by Ryan? $(2\mathrm{.}5$ pts$)$

C$.$ If Lana manages to sell the bill for $$780$ after $20$ days from the purchase time, what would be her holding period return? $(2\mathrm{.}5$ pts$)$

D$.$ If Ryan manages to sell the bill for $P after $20$ days from the purchase time, at what price should Ryan sell the bill so that he can achieve the same holding period return as Lana? $(2\mathrm{.}5$ pts$)$

E$.$ If Ryan manages to sell the bill for $$880$ after $40$ days from the purchase time, what would be his holding period return? $(2\mathrm{.}5$ pts$)$