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 = co, i.e. payments from the bank continue indefinitely, determine the value of P.

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 = co, i.e. payments from the bank continue indefinitely, determine the value of P.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Example 2.14: Calculating the present value of an annuity due at 12% An investor wants to buy an annuity of R100 for the next three years, each instalment being paid at the beginning of the year. If a bank is prepared to pay interest at 12%, how much must be invested today? It can be seen that the amount will be invested and the first instalment will immediately be repaid. It can be illustrated as shown in Table 2.6. value of an annuity due at 12%
Find the present value PV of the annuity account necessary to fund the withdrawal given. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $3,000 per month for 15 years, if the account earns 7% per year PV = $ Need Help? Read I Watch It
4. Consider the annuity of $ (F+2) per year for 5 years paid at the beginning of every year. If the annuities D=7 F=7 are decided to be paid right now and the bank give discount rate of 8% compounded quarterly, C=2 compute the amount should be paid.
K Suppose you receive $500 at the end of each year for the next three years. a. If the interest rate is 7%, what is the present value of these cash flows? b. What is the future value in three years of the present value you computed in (a)? c. Suppose you deposit the cash flows in a bank account that pays 7% interest per year. What is the balance in the account at the end of each of the next three years (after your deposit is made)? How does the final bank balance compare with your answer in (b)? a. The present value of the cash flow is $ (Round to the nearest cent)
9 Suppose you invested $500 in a local credit union and: f(t) gives the future value of the investment in t years, if the APR is 2% and interest is compounded quarterly. • g(t) gives the future value of the investment in t years, if the APR is 2% and interest is compounded monthly. h(t) gives the future value of the investment in f years, if the APR is 2% and interest is compounded continuously. a. Write a function rule for f(t). For g(t). For h(t). Then describe how the rules are similar and how they are different. b. Based on your understanding of exponential growth, describe how the graphs of f(t), g(t), and h(t) are similar, and how they are different. c. On the same coordinate grid, use algebraic reasoning to sketch graphs of the three functions. .
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4. Suppose $5,000 is deposited in a savings and loan account that pays 5.5% interest compounded semiannually. Use compound interest to calculate the following:a. How much money will be saved?b. How much will be owed after 2 years?
Suppose that the parents of a young child decide to make annual deposits into a savings account, with the first deposit being made on the child’s fifth birthday and the last deposit being made on the 15th birthday. Then, starting on the child’s 18th birthday, the withdrawals as shown will be made. If the effective annual interest rate is 8% during this period of time, what are the annual deposits in years 5 through 15? Use a uniform gradient amount (G) in your solution. (See shown figure )
NEED FULLY CORRECT HANDWRITTEN SOLUTION FOR THIS.... ASAP!!! I'll rate positive for sure.
3) quarter? We assume that the funds will be kept in rentier deposits generating an effective interest rate of 2% p.a. How much money would you need to ensure a perpetual annuity of EUR 3,000 a
If you are expecting to get OMR 10240 at the end of 3 years. Calculate its present value if the interest rate is 9.42% and is computed quarterly. Select one: a. 3344.46 b. 7744.46 c. 6644.46 d. 2244.46 If you deposit OMR 27177 in your account in a bank. Suppose the bank pays 12% compound interest quarterly. Calculate value of your money in 4 years Select one: a. 166607.80 b. 43611.11 c. 16935.81 d. 42749.42 e. All the given choices in this question are not correct The company has made an investment in government bonds. The bonds will generate an interest income of OMR 20661 each year for 6 years. The interest rate is 12% annually. Compute present value of the stream of interest income for 6 years. Select one: a. 64284.79 b. All the given choices in this question are not correct c. 105606.79 d. 84945.79 e. 5025.29 Abdullah deposits OMR 23422 at the end of every year for 4 years and the deposit earns a compound interest of 3% per annum. Calculate the amount at the end of…
5. Present value of annuities and annuity payments The present value of an annuity is the sum of the discounted value of all future cash flows. You have the opportunity to invest in several annuities. Which of the following 10-year annuities has the greatest present value (PV)? Assume that all annuities earn the same positive interest rate. An annuity that pays $500 at the beginning of every six months An annuity that pays $1,000 at the end of each year An annuity that pays $500 at the end of every six months An annuity that pays $1,000 at the beginning of each year You bought an annuity selling at $2,867.74 today that promises to make equal payments at the beginning of each year for the next twelve years (N). If the annuity's appropriate interest rate (1) remains at 9.50% during this time, then the value of the annual annuity payment (PMT) is $375.00 You just won the lottery. Congratulations! The jackpot is $35,000,000, paid in twelve equal annual payments. The first payment on the…

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