No EXCEL pls and show specific steps, thank you

Your rich aunt offers you the choice of 3 pay-outs today

• Choice 1: $1000 paid every year for 5 years, with the first payment to be received at the end of year 3
• Choice 2: $3000 paid today.
• Choice 3: $80 paid at the end of each month for 5 years, with the first payment to be received in a month

(a) What is the effective annual interest rate that would make you indifferent between choice 2 and choice 3?

(b) If you were to receive the monthly payment at the beginning of each month for 5 years in Choice 3, what monthly payment would make you indifferent to receiving $3000 today? Use a 10% p.a. interest rate.

(c) Calculate the PV of 3 choices and select the best choice among the 3 alternatives, use a 10% p.a. interest rate.