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πΩ Equation S symbols Question Who wants to be a millionaire? 1. You just won st million dollar in the lottery! They offer yo

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fox =FV(F19,F24,-F17) F25 В C D E F G н К L M 17 18 19 20 $1,825.00 Annual savings -$5*365 Pmt Number of years of savings 65- 1
a Amount of lotter won $1,000,000
b Tax Rate 40%
c=a*b Taxes paid $400,000
d=a-c Amount received today with lump sum option $600,000
e Amount to be received per year before taxes $100,000
Pmt=e*(1-0.4) After tax amount to be received per year $60,000
Rate Interest rate 5%
Nper Number of years payment received 10
PV Present Value of amount received $463,304.10 (Using PV function of excel with Rate=5%, Nper=10,Pmt=-60000)
Lump Sum amount to be chosen
Because it isa higher than the present value of annual payment
2
Pmt Annual savings =$5*365 $1,825.00
Nper Number of years of savings =65-22 43
Rate Interest rate 10%
FV Amount in account at age 65 $1,081,131.26 (Using FV function of excel with Rate=10%, Nper=43,Pmt=-1825)
Amount in account at age 65 $1.08 million
If you start saving later, say at age 40
Nper Number of years of Savings=65-40= 25
FV Amount in account at age 65 $179,483.38 (Using FV function of excel with Rate=10%, Nper=25,Pmt=-1825)
$0.18 million

F11 =PV(F9,F10, - F8) fox А В E G Н J К L Amount of lotter won $1,000,000 b Tax Rate 40% Taxes paid cEa*b $400,000 Amount recfox =FV(F19, F18, - F17) F20 X C E G H K L 17 $1,825.00 Annual savings -$5*365 Pmt Number of years of savings-65-22 18 Nper 4
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