Consider the following alternatives:

i$.$ $$130$ received in one year

ii$.$ $$200$ received in $5$ years

iii. $$300$ received in $10$ years

a$.$ Rank the alternatives from most valuable to least valuable if the interest rate is $8\%$ per year.

b$.$ What is your ranking if the interest rate is only $5\%$ per year?

c$.$ What is your ranking if the interest rate is $20\%$ per year?