Question

In: Finance

Present value of an annuity   Consider the following case.  ​(Click on the icon located on the​...

Present value of an annuity   Consider the following case.  ​(Click on the icon located on the​ top-right corner of the data table below in order to copy its contents into a​ spreadsheet.)

Amount of annuity

Interest rate

Period​ (years)

​$58,000

5​%

6

a.  Calculate the present value of the annuity assuming that it is

​1) An ordinary annuity.

​(2) An annuity due.

b.  Compare your findings in parts a​(1) and a​(2).

All else being​ identical, which type of annuitylong dash—ordinary or annuity duelong dash—is preferable? Explain why.

The present value of the ordinary annuity is $_____

Solutions

Expert Solution

Ordinary annuity:

Ordinary annuity $294,390.14.

------------------------------------------------------------------------

Annuity due:

Annuity due is $309,109.65.

--------------------------------------------------------

Annuity due is preferable.

------------------------------------------

In case of Annuity due payments begin from the beginning of the period but in case of ordinary annuity payment begins at the end of the year.


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