Intermediate Accounting
Intermediate Accounting
3rd Edition
ISBN: 9780136912644
Author: Elizabeth A. Gordon; Jana S. Raedy; Alexander J. Sannella
Publisher: Pearson Education (US)
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Chapter 7, Problem 7.16BE

Present Value of an Annuity Due, Semiannual Compounding Interest. Genius LLP must withdraw $50,000 at the beginning of each semiannual period for the next eight years to satisfy its employee pension obligation. Assuming 10% interest with semiannual compounding, how much should the corporation invest today? Draw a timeline to illustrate the problem.

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Assume that a pension plan offers to pay $500,000 on a person's retirement (his/her sixty-fifth birthday) or a semi-annual annuity for the remainder of the person's life - i.e., starting 6 months from the date of retirement and including his/her date of death. Interest rates are 7 percent compounded annually, and a person's life expectancy has been determined statistically as being 78.5 years. Calculate the amnunt of the annuity that would make a person indifferent between the options? A person joins a pension plan at age 40 (40" birthday). How much will s/he have to pay into the pension fund each year in order to accumulate a balance of $500,000 by the time s/he retires (age 65)? Assume that the final payment is on his/her 60th birthday. Interest rates are 9% compounded semi-annually.
Professor's Annuity Corporation offers a lifetime annuity to retiring professors. For a payment of $80,000 at age 65, the firm will pay the retiring professor $600 a month until his death. a. If the professor's remaining life expectancy is 20 years, what is the monthly interest rate on this annuity? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. b. What is the effective annual interest rate? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. c. If the monthly interest rate is .5%, what monthly annuity payment can the firm offer to the retiring professor? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. a. Monthly rate on annuity b. Effective annual rate c. Monthly annuity payment % %
What is the present value and duration of the liability (in $ million)?

Chapter 7 Solutions

Intermediate Accounting

Ch. 7 - Prob. 7.3BECh. 7 - Prob. 7.4BECh. 7 - Prob. 7.5BECh. 7 - Present Value of a Single Sum, Compound Interest....Ch. 7 - Future Value of a Single Sum, Compound Interest....Ch. 7 - Prob. 7.8BECh. 7 - Present Value of a Single Sum, Compounded Interest...Ch. 7 - Prob. 7.10BECh. 7 - Present Value of a Single Sum, Calculating Time...Ch. 7 - Future Value of an Ordinary Annuity. An...Ch. 7 - Future Value of an Annuity Due. Mariah Carey...Ch. 7 - Future Value of an Ordinary Annuity: Calculating...Ch. 7 - Present Value of an Ordinary Annuity. CB...Ch. 7 - Present Value of an Annuity Due, Semiannual...Ch. 7 - Prob. 7.17BECh. 7 - Ordinary Annuity, Annuity Due, Using Interest...Ch. 7 - Prob. 7.2ECh. 7 - Prob. 7.3ECh. 7 - Prob. 7.4ECh. 7 - Prob. 7.5ECh. 7 - Prob. 7.6ECh. 7 - Prob. 7.7ECh. 7 - Future Value of an Ordinary Annuity, Future Value...Ch. 7 - Single Sum, Solving for Other Variables. Two...Ch. 7 - Ordinary Annuity, Solve for Interest Rate,...Ch. 7 - Present Value, Note Payable Prices. Wiz Khalifa...Ch. 7 - Future Value of a Deterred Annuity. Lenny Shafer...Ch. 7 - Prob. 7.13ECh. 7 - Present Value of an Ordinary Annuity, Present...Ch. 7 - Prob. 7.15ECh. 7 - Prob. 7.16ECh. 7 - Future Value of an Annuity Due, Decision Making....Ch. 7 - Prob. 7.18ECh. 7 - Prob. 7.19ECh. 7 - Prob. 7.20ECh. 7 - Prob. 7.21ECh. 7 - Prob. 7.22ECh. 7 - Prob. 7.1PCh. 7 - Present Value, Present Value of an Ordinary...Ch. 7 - Present Value, Present Value of an Annuity Due,...Ch. 7 - Prob. 7.4PCh. 7 - Prob. 7.5PCh. 7 - Prob. 7.6PCh. 7 - Prob. 7.7PCh. 7 - Present Value of an Annuity Due, Deferred...Ch. 7 - Present Value of an Ordinary Annuity, Present...Ch. 7 - Future Value of an Ordinary Annuity, Deferred...Ch. 7 - Present Value, Present Value of an Ordinary...Ch. 7 - Prob. 7.12PCh. 7 - Prob. 7.13PCh. 7 - Prob. 7.14PCh. 7 - Prob. 7.15P
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