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 = ∞, i.e. payments from the bank continue indefinitely, determine the value of P.
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- Use 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?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 annuity
- 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.Classify the financial problem. Assume a 9% interest rate compounded annually. What annual deposit is necessary to give $10,000 in 6 years? A.future valueB.amortization C.sinking fundD.present valueE.ordinary annuity Answer the question. (Round your answer to the nearest cent.)Q1: Calculate (PW) for annual payments (900$/year) if the first payment will deposit at the present time, and the last one will deposit at begin of the ninth year? If you know that it's on deposit at the fifth year, and the interest rate is (15%)!
- 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)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 %May I ask for an explanation and solution to the question for a better understanding. Thank you! 8. Assume that you can invest to earn a stated annual rate of return of 12%, but where interest is compounded semiannually. If you make consecutive semi-annual deposits of P500 each, with the first deposit being made today, what will your balance be at the end of Year 5? a. P6,590.40 b. P881.17 c. P440.59 d. P1,762.34
- 2. Assume that you can invest to earn a stated annual rate of return of 12 percent, but where interest is compounded semiannually. If you make 20 consecutive semiannual deposits of $500 each, with the first deposit being made today, what will your balance be at the end of Year 20? $57,900.83 $58,988.19 O $52,821.19 O $64,131.50 O $62,527.474. 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: 280If you deposit OMR 19500 in your account in a bank; suppose the bank pays 6.15% compound interest yearly. Calculate future value of your money in 15 years. Select one: a. 49085.53 b. 47734.74 c. None of the option d. 51561.92 e. 50902.18