b$.$ Determine the present value of $$100\mathrm{.}000$ to be received in the future in the following situations. In each case assume that the annual interest rate is $5\%$:

i$.$ Payment is received at the end of one year's time given annual compounding,

ii$.$ Payment is received at the end of ten years' time given annual compounding,

iii. Payment is received at the end of one year's time given quarterly compounding $($i$.$e$.$ every three months$),$

iv$.$ Payment is received at the end of ten years' time given quarterly compounding $($i$.$e$.$ every three months$),$

v$.$ Payment is received at the end of one year's time given continuous compounding,

vi$.$ Payment is received at the end of ten years' time given continuous compounding.