a maturity of $5$ years the spot rate for each year is

year $1$: $8$

year $2$: $8\mathrm{.}75$

year $3$: $9\mathrm{.}33$

year$4$:$9\mathrm{.}79$

year$5$: $10$:$13$

for each year calculate:

A$.$ Forwarded rate show detailed calculation

B$.$ expected future single year spot rate

show detailed calculation

mention what is the shape of the yield curve