Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)
11th Edition
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
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Chapter 4, Problem 53QP
Summary Introduction

To compute: The present value.

Purchasing Power:

It refers to the value of an amount today after taking the time value of money and the discounted rate into consideration. In other words it is discounted value of the amount that has to be received in future.

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Answer with steps: You receive $4,000 from your aunt when you turn 21 and you immediately invest the money in a saving account. The account earns 12% annual rate, with continuous compounding. You get your first job after 5 years. You want to retire from work in 20 years. If you deposit $100 into your account every month for the first 10 years, and $200 every month for the next 10, how much will you have after 20 years? Assume you continue to earn 12% annual rate with continuous compounding.
Part A: By the end of this year, you would be 35 years old and you want to plan for your retirement. You wish to retire at the age of 65 and you expect to live 20 years after retirement. Upon retirement, you wish to have an annual sum of $50,000 to supplement your social security benefits. Therefore, you opened now your retirement account with a 7% annual interest rate. At retirement, you liquidate your account and use the funds to buy an investment-grade bond which makes $50,000 annual coupon payments based on a 6 % coupon rate, throughout your retirement years. How much will the face value of the bond that you will be investing? Please calculate the monthly payment in your retirement account in order to be able to achieve the plan mentioned above? How much will your inheritors receive?
Part A:    By the end of this year, you will be 35-years old, and you want to plan for your retirement. You wish to retire at the age of 65, and you expect to live 20 years after retirement. Upon retirement you wish to have an annual sum of $50,000 to supplement your social security benefits. Therefore, you opened your retirement account with a 7% annual interest rate. At retirement you liquidate your account and use the funds to buy an investment grade bond which makes $50,000 annual coupon payments based on a 6 % coupon rate throughout your retirement years.    What is the face value, not the actual value, of the bond that you will be investing in? Please calculate the monthly payment in your retirement account in order to be able to achieve the plan mentioned above.  How much will your inheritors receive?

Chapter 4 Solutions

Corporate Finance (The Mcgraw-hill/Irwin Series in Finance, Insurance, and Real Estate)

Ch. 4 - Simple Interest versus Compound Interest First...Ch. 4 - Prob. 2QPCh. 4 - Prob. 3QPCh. 4 - Prob. 4QPCh. 4 - Prob. 5QPCh. 4 - Prob. 6QPCh. 4 - Calculating Present Values Imprudential, Inc., has...Ch. 4 - Calculating Rates of Return Although appealing to...Ch. 4 - Perpetuities An investor purchasing a British...Ch. 4 - Prob. 10QPCh. 4 - Prob. 11QPCh. 4 - Prob. 12QPCh. 4 - Calculating Annuity Present Value An investment...Ch. 4 - Calculating Perpetuity Values The Perpetual Life...Ch. 4 - Calculating EAR Find the EAR in each of the...Ch. 4 - Calculating APR Find the APR, in each of the...Ch. 4 - Calculating EAR First National Bank charges 10.3...Ch. 4 - Interest Rates Well-known financial writer Andrew...Ch. 4 - Calculating Number of Periods One of your...Ch. 4 - Prob. 20QPCh. 4 - Prob. 21QPCh. 4 - Simple Interest versus Compound Interest First...Ch. 4 - Calculating Annuities You are planning to save for...Ch. 4 - Prob. 24QPCh. 4 - Prob. 25QPCh. 4 - Prob. 26QPCh. 4 - Prob. 27QPCh. 4 - Annuity Present Values What is the present value...Ch. 4 - Annuity Present Values What is the value today of...Ch. 4 - Balloon Payments Audrey Sanborn has just arranged...Ch. 4 - Prob. 31QPCh. 4 - Prob. 32QPCh. 4 - Growing Annuity Southern California Publishing...Ch. 4 - Growing Annuity Your job pays you only once a year...Ch. 4 - Prob. 35QPCh. 4 - Prob. 36QPCh. 4 - Prob. 37QPCh. 4 - Calculating Loan Payments You need a 30-year,...Ch. 4 - Prob. 39QPCh. 4 - Calculating Present Values You just won the TVM...Ch. 4 - Prob. 41QPCh. 4 - Prob. 42QPCh. 4 - Prob. 43QPCh. 4 - Prob. 44QPCh. 4 - Prob. 45QPCh. 4 - Prob. 46QPCh. 4 - Prob. 47QPCh. 4 - Prob. 48QPCh. 4 - Prob. 49QPCh. 4 - Prob. 50QPCh. 4 - Calculating Annuities Due You want to lease a set...Ch. 4 - Prob. 52QPCh. 4 - Prob. 53QPCh. 4 - Prob. 54QPCh. 4 - Prob. 55QPCh. 4 - Prob. 56QPCh. 4 - Prob. 57QPCh. 4 - Prob. 58QPCh. 4 - Prob. 59QPCh. 4 - Prob. 60QPCh. 4 - Prob. 61QPCh. 4 - Prob. 62QPCh. 4 - Prob. 63QPCh. 4 - Prob. 64QPCh. 4 - Calculating the Number of Periods Your Christmas...Ch. 4 - Prob. 66QPCh. 4 - Prob. 67QPCh. 4 - Prob. 68QPCh. 4 - Prob. 69QPCh. 4 - Perpetual Cash Flows What is the value of an...Ch. 4 - Prob. 71QPCh. 4 - Prob. 72QPCh. 4 - Prob. 73QPCh. 4 - Prob. 74QPCh. 4 - Rule or 69.3 A corollary to the Rule of 72 is the...Ch. 4 - Prob. 1MCCh. 4 - Prob. 2MCCh. 4 - Prob. 3MCCh. 4 - Prob. 4MCCh. 4 - Prob. 5MCCh. 4 - Prob. 6MC
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