Assume that today is January $1,$ year $1.$ Assuming an $8\%$ discount rate, what is the future value of each of the following cash flows?

a$.$ Future value in three years of $$52$ received now $($i$.$e$.,$ the value on December $31,$ year $3)$

b$.$ Future value in $100$ years of $$52$ received now $($i$.$e$.,$ the value on December $31,$ year $100)$

c$.$ Future value at the end of $20$ years of $ID received each year at the end of the year $($i$.$e$.,$ the value at December $31,$ year $20,$ with one payment received each December $31$ from year $1$ to year $20)$

d$.$ Future value at the end of $20$ years of $ID received each year at the beginning of the year $($i$.$e$.,$ the value at December $31,$ year $20,$ with one payment received each January $1$ from year $1$ to year $20)$