A par value $F10-$year bond with annual coupons of rate $r$ is bought at a price $P$ to yield of annual effective rate of $P{R}_{1}F\frac{r-j}{(1+j{)}^2}F\frac{r}{(1+j{)}^2}F\frac{r-j}{(1+j{)}^{10}}F\frac{r-j}{(1+j{)}^9}F=100r=8\%10t20j=9\%F=100,C=115r=10\%10t20j=10\%j.$ Find $P{R}_1.$

$(a)F\frac{r-j}{(1+j{)}^2}$

$(b)F\frac{r}{(1+j{)}^2}$

$(c)F\frac{r-j}{(1+j{)}^{10}}$

$(d)F\frac{r-j}{(1+j{)}^9}$

$(e)$ none $of$ these

$A20$ year annual coupon bond with $F=100$ and $r=8\%is$ callable between $10t20.To$ guarantee a minimum yield $j=9\%$ what time should $be$ use $to$ calculate the price?

$(a)10$

$(b)20$

$(c)14$

$(d)16$

$(e)$ none $of$ these

$A20$ year annual coupon bond with $F=100,C=115,$ and $r=10\%is$ callable between $10t20.To$ guarantee a minimum yield $j=10\%$ what time should $be$ use $to$ calculate the price?

$(a)10$

$(b)20$

$(c)14$

$(d)16$

$(e)$ none $of$ these