4. You have invented the next generation of cell phone and will receive $27,500 per year for the next 10 years as payment. If a 12 percent discount rate is applied, should you be willing to sell your future rights now for $160,000 ? 5. How much would you have to invest today to receive $12,000 in 6 years at 12%? 6. How much would you have to invest today to receive $15,000 in 15 years at 8% ? 7. Hovemuch would you have to invest today to receive $100,000 in 40 years at 6 ? 8. You just signed you first pro contract. You got a $3 million signing bonus and will receive $1 million, $1.25 million, $1.5 million and $2 million over the next 4 years. Assuming an 11 percent discount rate, what is the present value of your contract? 9. If you borrow $9,725 and are required to pay back the loan in 5 equal annual payments of $2,500, what is the interest rate associated with the loan? 10. Your grandfather has offered you a choice of one of the three following alternatives: $5,000 now; $1,000 a year for 8 years; or $12,000 at the end of 8 years. If you can earn 11 percent annually, which alternative should you choose? 11.Your grandfather has offered you a choice of one of the three following alternatives: $5,000 now; $1,000 a year for 8 years; or $12,000 at the end of 8 years. If you can earn 12 percent annually, which alternative should you choose? 12. You can purchase a professional sports team. The probability distribution of expected returns for the franchise is as follows: What is the expected rate of return for your investment in this team? 13. What is the standard deviation of the expected returns from the question above? Solve the problems using the tables in Appendix A of our text. After completing your calculations, open the Assignment 2 assessment and select your answers from the multiple choices presented. HINT: In working a time value of money problem, first you must determine whether the problem deals with future value or present value and second whether a single sum or an annuity is involved. This will let you know which tablo is used and how to sot up the problom