Team 6
1a. What is Vrginia's current weath?
Cash today
Cash in one year
Interest
Net Present Value
$2,000,000
$3,000,000
6%
(NPV) = $2M + $3M/ (1+0.06) = $4,830,188.68
Virginia's current wealth is made up of her $2 million in had and the present value of her future $3 million.
1b. How much can Virginia spend today?
Without a loan If Virginia does not want to borrow from the bank, she can spend a maximum of $2 million.
With a loan If Virginia makes use of a bank loan, taking into account the $2million in hand and the present value of her future 3 million, she will be able to spend a maximum of $4.83 million. PV of $3 million is $2.83Million PV. Assuming interest rates are constant for all entities, including the bank, within one year's time, 6% will have accrued and Virginia can repay the loan to the bank at $3 million.
1c. How much can Virginia spend one year from now?
Future Buying Power
Future Value Future Value of 2 million is 2.12 million - $2M (1+0.06) = $2.12 million
$2.12 million + $3 million = $5.12 million - Virginia has this amount to spend in one year's time if she spends nothing today. 2a. Assume Virginia had a lump sum of 4 million to invest. How much of the $4 million should Virginia invest in the restaurant?
Investment
Remaining Cash
Future Cash Flow from investment
Future Value Cash
Total FV
option 1
$1,000,000.00
$3,000,000.00
$1,800,000.00
$3,180,000.00
$4,980,000.00
option 2
$2,000,000.00
$2,000,000.00
$3,300,000.00
$2,120,001.00
$5,420,001.00
option 3
$3,000,000.00
$1,000,000.00
$4,400,000.00
$1,060,001.00
$5,460,001.00
option 4
$4,000,000.00
$0.00
$5,400,000.00
$0.00
$5,400,000.00
PV of FCF from investment
$1,698,113.00
$3,113,208.00
$4,150,944.00
$5,094,340.00
$698,113.00
$1,113,208.00
$1,150,944.00
$1,094,340.00
Net Value of investment
Virginia should choose Option 3, as this will offer the highest Future
Value and the highest Net Value of Investment
2a. What happens to Virginia's wealth