Consider the following alternatives:

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

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

iii. $$320$ 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 $4\%$ per year?

c$.$ What is your ranking if the interest rate is $15\%$ per year?

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

First, calculate the present value $($PV$)$ of each alternative:

The PV of $$130$ received in one year if the interest rate is $8\%$ per year is $$.($Round to the nearest cent.$)$