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20161107185454assignment_helper_1.xlsx

Future Value Lump Sum (1)

INPUTS
Future Value (FV) ?
Present Value (PV) $50,000,000
Interest Rate (i) 5.0%
Time (t) in Years 12
FV = PV times 1 + Rate ^time
$50,000,000 times 1.7959
$89,792,816 --> value account in 12 years

Present Value Lump Sum (2)

INPUTS
Future Value (FV) $50,000,000
Present Value (PV) ?
Interest Rate (i) 1.0%
Time (t) in Years 3
PV = F V divided 1 + Rate ^time
$50,000,000 divided 1.0303
$48,529,507 --> deposit this amount in account today

Compound Return Lump Sum (3)

INPUTS
Future Value (FV) $3,000,000 <-- Value Brokerage Account at the end of year 12
Present Value (PV) $1,000,000 <-- Value Brokerage Account at the year 0
Interest Rate (i) ?
Time (t) in Years 12 <-- Years funds in account
Raised to
FV Divided by PV ^ 1 / years Less 1
$3,000,000 Divided by $1,000,000 ^ 0.0833 less 1
9.6% <-- Compound Return this account earned
try another example
Investor buys Cisco Stock for $7.50 January 1996 and investor sells Cisco Stock for $53 on January 2000. What compound return did investor earn?
Years 4
Compute 63% <-- Compund Return Earned
Investor buys Cisco Stock for $53 on January 1996 and investor sells Cisco Stock for $26 on January 2016. What compound return did investor earn?
-3% <-- Compund Return Earned

FutureValue Multiple CF (4)

Beginning Year Cash Flow Future Value Factor Shown Future Value Factor Future Value Cash Flow
1 $500,000 (1+Rate)^ YR 1.2434 $621,687
2 $525,000 1.2190 $639,972
3 $550,000 1.1951 $657,301
4 $575,000 1.1717 $673,704
5 $600,000 1.1487 $689,211
6 $625,000 1.1262 $703,852
7 $650,000 1.1041 $717,653
8 $675,000 1.0824 $730,642
9 $700,000 1.0612 $742,846
10 $725,000 1.0404 $754,290
11 $750,000 1.0200 $765,000
TOTAL VALUE ACCOUNT END YR 11 --> $7,696,157
Inputs
Interest Rate 2.0%

Present Value Multiple CF (5)

End Year Cash Flow Present Value Factor Shown Present Value Factor Present Value Cash Flow
1 $10,000,000 (1+Rate)^ YR 1.1500 $8,695,652
2 $10,000,000 1.3225 $7,561,437
3 $10,000,000 1.5209 $6,575,162
4 $15,000,000 1.7490 $8,576,299
TOTAL CASH RECEIVED --> $45,000,000
PRESENT VALUE ACCOUNT YR 0 --> $31,408,550
Inputs
Interest Rate 15.0%

Return Multiple CF (6)

END YEAR CASH FLOW
Buy Verizon Stock December 30 2009 $32.00 0 -$32.00
Sell Verizon Stock December 31 2015 $46.00 1 $1.95
Receive Dividend 2010 $1.95 2 $2.00
Receive Dividend 2011 $2.00 3 $2.00
Receive Dividend 2012 $2.00 4 $2.12
Receive Dividend 2013 $2.12 5 $2.20
Receive Dividend 2014 $2.20 6 $48.26
Receive Dividend 2015 $2.26
Compund Return Earned --> 11.9%
Note: End YR Cash Flow equals $2.26 Dividend and $46 Sales Price