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In eight years, when he is discharged from the Air Force, Steve wants to buy a $30,000 power boat. Click here to view Exhibit 12B-1 and Exhibit 12B-2, to determine the appropriate discount factor(s) using tables. Required: What lump-sum amount must Steve invest now to have the $30,000 at the end of eight years if he can invest money at:

Sagot :

Answer:

The correct answer is:

(1) $15,054

(2) $12,990

Explanation:

The required table is not given in the question. Please find below the attachment of the table.

Given:

Future value,

= $30,000

If discounting rate is 9%, the present value will be:

= [tex]Future \ value\times PV \ factor(9 \ percent, 8 \ years)[/tex]

= [tex]30000\times (\frac{1}{1.09} )^8[/tex]

= [tex]30000\times 0.5018[/tex]

= [tex]15,054[/tex] ($)

If discounting rate is 11%, the present value will be:

= [tex]Future \ value\times PV \ factor(11 \ percent, 8 \ years)[/tex]

= [tex]30000\times (\frac{1}{1.11} )^6[/tex]

= [tex]30000\times 0.433[/tex]

= [tex]12,990[/tex] ($)

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