Suppose you invest $210,000 in an annuity that returns constant annual payments over 6 years, with the first payment one year from now. At an interest rate of 7%, how much is the annual payment you receive? Equivalent problem structure (as a borrower): Suppose you borrow $210,000 to be paid back in constant annual payments over 6 years with the first payment one year from now. At an interest rate of 7%, how much is the annual payment?
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- Suppose you invest $210,000 in an annuity that returns 6 annual payments, with the first payment one year from now and each subsequent payment growing by 5%. At an interest rate of 8%, how much is the first annual payment you receive? Equivalent problem structure (as a borrower): Suppose you borrow $210,000 to be paid back over 6 years with the first payment one year from now and each subsequent payment growing by 5%. At an interest rate of 8%, how much is the first annual payment? Please round your answer to the nearest hundredth.Suppose you are going to receive $13,500 per year for five years. The interest rate is 8.4%a. What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due?b. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are annuity due?c. Which has the highest present value (future value), the ordinary annuity or annuity due?1. Suppose you can save $200 per year at the end of each year for 15 years and earn 7.49% interest per year. However, you cannot start saving for five years. What is the present value of this annuity? 2. What are the annual payments for a 4-year $4,000 loan if the interest rate is 9% per year? Make up a loan amortization schedule. 3. Consider the following future value problem. The respective cash flows for t = 0, 1, 2, and 3 are $3,000, $2,000, $8,000, and $5,000 and the discount rate is ten percent. What is the future value at t = 4? 4. You are offered a signing bonus of $2,000,000 or a future payment of $2,500,000 at the end of three years from now. If you can earn 7% on invested funds, would you take the signing bonus or wait for the future payment?
- 1.Suppose you can save $200 per year at the end of each year for 15 years and earn 7.49% interest per year. However, you cannot start saving for five years. What is the present value of this annuity? 2.What are the annual payments for a 4-year $4,000 loan if the interest rate is 9% per year? Make up a loan amortization schedule.Suppose you have an opportunity to buy an annuity that pays $3,500 at the end of each year for 6 years, at a 9% interest rate. What is the most you should pay for the annuity? USE FORMULASuppose that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved. The future value formula is: A = 12M 1+ 12 7 12t - 1 where M is the regular monthly payment, r is the annual interest rate in decimal form, and t is the term of the annuity in years. With a monthly payment of $110, what would the future value be if you chose an annuity with a term of two years at 4.5% interest? Round you answer to the nearest cent. The future value would be $. X S
- Suppose you are going to receive $13,000 per year for 7 years. The appropriate interest rate is 8 percent. a.What is the present value of the payments if they are in the form of an ordinary annuity? b.What is the present value if the payments are an annuity due? c.Suppose you plan to invest the payments for 7 years, what is the future value if the payments are an ordinary annuity? d.Suppose you plan to invest the payments for 7 years, what is the future value if the payments are an annuity due?Suppose that you want to avoid paying interest and decide you'll only buy the furniture when you have the money to pay for it. An annuity is basically the opposite of a fixed-installment loan: you deposit a fixed amount each month and receive interest based on the total amount that's been saved. The future value formula is: 12t 12 [(1 - - - - ] 1 12 A = r where is the regular monthly payment, ▾ is the annual interest rate in decimal form, and ʼn is the term of the annuity in years. If you chose an annuity with a term of two years at 4.8% and a monthly payment of $120, the future value would be $3016.45. Recalculate the future value amount if you're willing to raise your monthly payment $20 per month. Round your answer to the nearest cent. The future value would be $ XSuppose you are going to receive $5,000 per year for 8 years. The appropriate interest rate is 10 percent. What is the present value of the payments if they are in the form of an ordinary, a. anhuity? b. What is the present value if the payments are an annuity due?
- You borrow P dollars now. You will pay back your debt by paying an annuity of A dollars for each of n periods into the future. Suppose m < n and that you have made your first m payments of A dollars. How much do you owe after making the mth payment.Suppose you are going to receive Rs. 63,800 per year for five years. The appropriate interest rate is 7.3 What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due? Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are an annuity due? Which has the highest present value, the ordinary annuity or annuity due? Which has the highest future value? Will this always be true? Note- Answer all the parts of the questionSuppose you're going to receive $7800 per year for five years. the appropriate discount rate is 7.5%. A.What is the present value of the payments if they are in the form of an ordinary annuity? What is the present value if the payments are an annuity due? B. Suppose you plan to invest the payments for five years. What is the future value if the payments are an ordinary annuity? What if the payments are in annuity due? C. Which has the higher present value, the ordinary annuity or the annuity due? Which has a higher future value? Will this always be true?