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Question:Explain how the future value of an ordinary annuity interest table is converted to the future value of an annuity due interest table.

Short Answer

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The future value of an ordinary annuity is converted to the future value of an annuity due by multiplying with corresponding value by one plus the interest rate

Step by step solution

01

Step-by-Step solutionsStep 1 Annuity due definition

Annuity due refers to an annuity, the payment for which is due just after the starting of each period. Periods can be yearly, half-yearly, and quarterly

02

Conversion to annuity due

The future value of an annuity due can be converted from the future value of an ordinary annuity. The process of in future ordinary annuity interest table is to multiply the corresponding future values of the ordinary annuity by one plus the interest rate.

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Most popular questions from this chapter

Nerwin, Inc. is a furniture manufacturing company with 50 employees. Recently, after a long negotiation with the local labor union, the company decided to initiate a pension plan as a part of its compensation plan. The plan will start on January 1, 2017. Each employee covered by the plan is entitled to a pension payment each year after retirement. As required by accounting standards, the controller of the company needs to report the pension obligation (liability). On the basis of a discussion with the supervisor of the Personnel Department and an actuary from an insurance company, the controller develops the following information related to the pension plan. Average length of time to retirement 15 years Expected life duration after retirement 10 years Total pension payment expected each year after retirement for all employees. Payment made at the end of the year. $700,000 per year The interest rate to be used is 8%.

Instructions On the basis of the information above, determine the present value of the pension obligation (liability).

Question:Will Smith will receive $80,000 5 years from now, from a trust fund established by his father. Assuming the appropriate interest rate for discounting is 12% (compounded semiannually), what is the present value of this amount today?

Craig Brokaw, newly appointed controller of STL, is considering ways to reduce his companyโ€™s expenditures on annual pension costs. One way to do this is to switch STLโ€™s pension fund assets from First Security to NET Life. STL is a very well-respected computer manufacturer that recently has experienced a sharp decline in its financial performance for the first time in its 25-year history. Despite financial problems, STL still is committed to providing its employees with good pension and postretirement health benefits.

Under its present plan with First Security, STL is obligated to pay \(43 million to meet the expected value of future pension benefits that are payable to employees as an annuity upon their retirement from the company. On the other hand, NET Life requires STL to pay only \)35 million for identical future pension benefits. First Security is one of the oldest and most reputable insurance companies in North America. NET Life has a much weaker reputation in the insurance industry. In pondering the significant difference in annual pension costs, Brokaw asks himself, โ€œIs this too good to be true?โ€

Instructions

Answer the following questions.

(a) Why might NET Lifeโ€™s pension cost requirement be $8 million less than First Securityโ€™s requirement for the same future value?

(b) What ethical issues should Craig Brokaw consider before switching STLโ€™s pension fund assets?

(c) Who are the stakeholders that could be affected by Brokawโ€™s decision?

Question:Jose Oliva is considering two investment options for a $1,500 gift he received for graduation. Both investments have 8% annual interest rates. One offers quarterly compounding; the other compounds on a semiannual basis. Which investment should he choose? Why?

Sally Medavoy will invest $8,000 a year for 20 years in a fund that will earn 6% annual interest. If the first payment into the fund occurs today, what amount will be in the fund in 20 years? If the first payment occurs at year-end, what amount will be in the fund in 20 years?

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