A savings plan requires an investor to pay 10 installments, each one of $500, due at the end of every year for 10 years. One year after the last of such installments the bank will start making annual payments to the investor, each one for a fixed amount P, for n years. Assume an effective interest rate of 5% p.a. (a) If n = 7 determine the value of P. (b) If n = ∞, i.e. payments from the bank continue indefinitely, determine the value of P.
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- You want to invest $8,000 at an annual Interest rate of 8% that compounds annually for 12 years. Which table will help you determine the value of your account at the end of 12 years? A. future value of one dollar ($1) B. present value of one dollar ($1) C. future value of an ordinary annuity D. present value of an ordinary annuityUse the tables in Appendix B to answer the following questions. A. If you would like to accumulate $2,500 over the next 4 years when the interest rate is 15%, how much do you need to deposit in the account? B. If you place $6,200 in a savings account, how much will you have at the end of 7 years with a 12% interest rate? C. You invest $8,000 per year for 10 years at 12% interest, how much will you have at the end of 10 years? D. You win the lottery and can either receive $750,000 as a lump sum or $50,000 per year for 20 years. Assuming you can earn 8% interest, which do you recommend and why?Use the tables in Appendix B to answer the following questions. A. If you would like to accumulate $4,200 over the next 6 years when the interest rate is 8%, how much do you need to deposit in the account? B. If you place $8,700 in a savings account, how much will you have at the end of 12 years with an interest rate of 8%? C. You invest $2,000 per year, at the end of the year, for 20 years at 10% interest. How much will you have at the end of 20 years? D. You win the lottery and can either receive $500,000 as a lump sum or $60,000 per year for 20 years. Assuming you can earn 3% interest, which do you recommend and why?
- Classify the financial problem. Assume a 4% interest rate compounded annually. Find the value of a $1,000 certificate in 6 years. A. amortizationB.ordinary annuity C.present valueD. sinking fundE.future value Answer the question. (Round your answer to the nearest cent.)Classify the financial problem. Assume a 9% interest rate compounded annually. What annual deposit is necessary to give $10,000 in 6 years? A.future valueB.amortization C.sinking fundD.present valueE.ordinary annuity Answer the question. (Round your answer to the nearest cent.)3. *A savings plan requires an investor to pay 10 installments, each one of $500, due at the end of every year for 10 years. One year after the last of such installments the bank will start making annual payments to the investor, each one for a fixed amount P, for n years. Assume an effective interest rate of 5% p.a. (a) If n = 7 determine the value of P. (b) If n = ∞o, i.e. payments from the bank continue indefinitely, determine the value of P.
- Assume you make a deposit of $7,500 now into a saving account that pays 12% per year, compounded quarterly. If you want to know the total amount after 2 years, the value of interest rate (i) you should use in the F/P factor is: Select one: а. 3% b. 4 % с. 24% d. 12 %5. An investor buys a 150 TL investment fund from the bank and sells it for 165 TL after 25 days. What is the % of Annual Effective Return? 6. If the monthly (periodically) interest is 1% for a one-month deposit, what is the Annual Effective Return?Classify the financial problem. Assume a 9% interest rate compounded annually. Deposit $200 at the end of each year. What is the total in the account in 10 years? A. sinking fundB.present value C.amortizationD. ordinary annuityE. future value Answer the question. (Round your answer to the nearest cent.)
- Find the amount accumulated FV in the given annuity account. HINT [See Quick Example 1 and Example 1.] (Assume end-of-period deposits and compounding at the same intervals as deposits. Round your answer to the nearest cent.) $1,400 is deposited quarterly for 10 years at 2% per year FV = $ Find the effective annual interest rate r (as a percent) of the given nominal annual interest rate. Round your answer to the nearest 0.01%. 13% compounded daily (assume 365 days per year) r =Suppose you are going to receive $11,000 per year for 8 years. The appropriate interest rate is 11 percent per year. Requirement 1: What is the present value of the payments if they are in the form of an ordinary (a)annuity (cash flow starts at the end of the first compounding period)? (Click to select) (b) What is the present value if the payments are an annuity due (cash flow starts at the beginning of the first compounding period)? (Click to select) Requirement 2: (a)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an ordinary annuity? (Click to select) (b)Suppose you plan to invest the payments for 8 years, what is the future value if the payments are an annuity due? (Click to select)4. The interest rate on a savingsaccount is 3% . You deposit£100 today, then £100 at theend of the first year, and £100each year until the end of year10. You withdraw x at the end ofyear 11, and then x each yearuntil the end of year 15 when thefinal withdrawal is made. Whatvalue of x will empty the accountafter the final withdrawal? A: 250B: 260 C: 270 D: 280