Millionnaire left the majority of this estate to fund five prizes, each to be awarded annually in perpetuity starting on year after he died. If he wanted the cash award of each of the five prizes to be $52,000 and his estate could earn 10% per year, how much would he need to fund his prizes? Formula: PV = c / r PV = 52,000 / .10 PV = 520,000 If he wanted the value of each prize to grow by 5% per year (to keep up with the inflation), how much would he need to leave? Assume that the first amount was still $52,000. Formula: PVgp = C1 / r - g PV = 52,000 / .10 - .05 Nobel needs to leave 1,040,000 If his heirs decided to invest the amount of money you calculated in (b) at 10% per year, how much would they have in 2020, 124 years after his death? Financial Calculator N = 124 I/Y = 10 PV = 1,040,000 PMT = 0 CPT FV = 1.41164811

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Millionnaire left the majority of this estate to fund five prizes, each to be awarded annually in perpetuity starting on year after he died.

  1. If he wanted the cash award of each of the five prizes to be $52,000 and his estate could earn 10% per year, how much would he need to fund his prizes?
  • Formula: PV = c / r
  • PV = 52,000 / .10
  • PV = 520,000
  1. If he wanted the value of each prize to grow by 5% per year (to keep up with the inflation), how much would he need to leave? Assume that the first amount was still $52,000.
  • Formula: PVgp = C1 / r - g
  • PV = 52,000 / .10 - .05
  • Nobel needs to leave 1,040,000
  1. If his heirs decided to invest the amount of money you calculated in (b) at 10% per year, how much would they have in 2020, 124 years after his death?
  • Financial Calculator
  • N = 124
  • I/Y = 10
  • PV = 1,040,000
  • PMT = 0

CPT FV = 1.41164811

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