Suppose you won the Powerball lottery on January 1, 2022. You can choose to receive the entire amount of $400 million either as a lump sum on January 1, 2022, or you can receive four equal annual payments of $102 million paid on January 1 in 2022, 2023, 2024, and 2020. Assume that your lottery winnings are not taxed. (A) Which option has a higher present value? Assume the interest rate is 2 percent yearly. Explain your answer. (B) Instead suppose that the interest rate is 1 percent. Would your answer to the first part change