Question
Current Long-Term Interest Rate: 0.558% A) Using a current long-term interest rate, recommend a proposal to the Boone family. Justify your choice of discount rate.
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Current Long-Term Interest Rate: 0.558%
Current Long-Term Interest Rate: 0.558%
A) Using a current long-term interest rate, recommend a proposal to the Boone family. Justify your choice of discount rate.
Proposal 1:
$300,000 per year for initial 20 years N = 20 i = 0.558% PMT = $300,000 FV = 0 Using a financial calculator: PV = $5,662,395.55 | $500,000 per year for following 20 years N = 20 i = 0.558% PMT = $500,000 FV = 0 Using a financial calculator: PV = $9,437,325.92 The above must be discounted to the present: N = 20 i = 11% PMT = 0 FV = $9,437,325.92 Using a financial calculator: PV = $8,443,381.93 |
PV = $5,662,395.55 + $9,437,325.92 = $15,099,721.47
Proposal 2: Present Value: Pay the family a lump sum payment of $5 million today.
Proposal 3
n = 40
Yield = .558%
PMT = $50,000
FV = 0
PV = $1,788,070.74
n = 40
Yield = .558%
PMT = 0
FV = $75,000,000
PV = $60,033,847.89
Present Value for Proposal 3: $60,033,847.89 + $1,788,070.74 = $61,821,918.63
Proposal 1 Present Value: $15,099,721.47
Proposal 2: Present Value: Pay the family a lump sum payment of $5 million today.
Proposal 3: Present Value: $60,033,847.89
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Discount Rate: 11%
B)Now assume that a discount rate of 11 percent is used. Which of the three alternatives provides the highest present value?
Proposal 1:
$300,000 per year for initial 20 years N = 20 i = 11% PMT = $300,000 FV = 0 Using a financial calculator: PV = $2,388,998.44 | $500,000 per year for following 20 years N = 20 i = 11% PMT = $500,000 FV = 0 Using a financial calculator: PV = $3,981,664.06 The above must be discounted to the present: N = 20 i = 11% PMT = 0 FV = $3,981,664.06 Using a financial calculator: PV = $493,861.35 |
PV = $2,388,998.44 + $493,861.35 = $2,832,859.79
Proposal 2: Present Value:$5,000,000
Note: No calculation is required for the second proposal because $5,000,000 represents today's present value.
Proposal 3
n = 40
Yield = .11
PMT = $50,000
FV = 0
PV = $447,552.54
n = 40
Yield = .11
PMT = 0
FV = $75,000,000
PV = $ 1,153,830.7
Total Present Value for Proposal 3: $447,552.54 + $1,153,830.76 = $1,601,383.30
Proposal 1 Present Value: $2,832,859.79
Proposal 2: Present Value:$5,000,000
Proposal 3: Present Value: $1,601,383.30
Analysis & Comments:
C) Explain why the change in outcome takes place between part a and part b.
D) If Whitaker thinks punitive damages are likely to be 4 million in a jury trial, should he be more likely to settle out of court or go before a jury?
Please answer c and d.
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