Suppose that on January $1,2022$ you purchased a coupon bond with the following characteristics:

$$ Face value $=$ $$1000$

$$ Coupon rate $=8\mathrm{.}375\%$

$$ Current yield $=7\mathrm{.}5\%$

$$ Maturity date $=2024$

If the bond is selling for $$850$ on January $1,2023,$ calculate the:

a$)$ coupon payment

b$)$ purchase price c$)$

capital gain or loss

d$)$ rate of return