Question

Your friend offers to give you $450 in 20 years, $320 in 10 years, or $217 today. Assuming a 4% market rate of return which w
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Answer #1

The offer with highest present value today should be accepted

At 4% rate,

PV of 450 in 20 years = 450*PVF(4%, 20 years)

= 450*0.4564

= $205.38

PV of 320 in 10 years = 320*PVF(4%, 10 years)

= 320*0.6756

= $216.19

PV of 217 today = $217

Hence. 217 today should be accepted

At 2%

PV of 450 in 20 years = 450*PVF(2%, 20 years)

= 450*0.673

= $302.85

PV of 320 in 10 years = 320*PVF(2%, 10 years)

= 320*0.8203

= $262.5

PV of 217 today = $217

Accept 450, 20 years from now

At 7%
PV of 450 in 20 years = 450*PVF(7%, 20 years)

= 450*0.2584

= $116.28

PV of 320 in 10 years = 320*PVF(7%, 10 years)

= 320*0.5083

= $162.66

PV of 217 today = $217

Accept $217 today

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