You Are Considering Two Equally Risky Annuities, Each of Which

question 58

Multiple Choice

You are considering two equally risky annuities, each of which pays $15,000 per year for 20 years.Investment ORD is an ordinary (or deferred) annuity, while Investment DUE is an annuity due.Which of the following statements is CORRECT?

• A) If the going rate of interest decreases from 10% to 0%, the difference between the present value of ORD and the present value of DUE would remain constant.
• B) The present value of ORD must exceed the present value of DUE, but the future value of ORD may be less than the future value of DUE.
• C) The present value of DUE exceeds the present value of ORD, while the future value of DUE is less than the future value of ORD.
• D) The present value of ORD exceeds the present value of DUE, and the future value of ORD also exceeds the future value of DUE.
• E) The present value of DUE exceeds the present value of ORD, and the future value of DUE also exceeds the future value of ORD.

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Definitions:

Unlevered Cost

The cost of an investment or project without taking into account the effect of borrowed funds, often used to assess the project's risk without financing impact.

Equity

Equity refers to the ownership interest in a company, represented by the shares held by investors.

Synergistic Gains

Refers to the additional value created by combining two or more companies or entities, beyond what they could achieve individually.

Market Values

The existing rate at which an asset or service is being offered for buying or selling.