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

See similar textbooks

Similar questions

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%
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. .
What's the answer?
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?
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…
Assume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount xr, is due at the end of the rth year. Let the effective annual interest rate for the rth year be ir. Give an identity which expresses L in terms of the xr and ir.
不 a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal comes from deposits and how much comes from interest? Periodic Deposit Rate Time Financial Goal $? at the end of each year 3% compounded annually 15 years $130,000 Click the icon to view some finance formulas. a. The periodic deposit is $ (Do not round until the final answer. Then round up to the nearest dollar as needed.) this View an example Get more help 4 Clear all Chec
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.
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.) $130 deposited monthly for 20 years at 3% per year in an account containing $18,000 at the start
4. If you deposit $1000 in one year, $2000 in two years, and $3000 in three years, how much will you have in three years? Assume a 7 percent annum interest rate. NPV FV
Part B: Suppose a bank offers you a rate of 5% compounded quarterly. If you put $8,000 into this account today, how much will you have at the end of 7 years? Interest rate: savings amount: years: Number of compound periods: compounded rate: Amount at the end of the period: Please show formulas
2.

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS