6 When Alfred Nobel died, he left the majority of his estate to fund 5 prizes,

each to be awarded annually in perpetuity starting one year after his death.

He also wanted the value of each prize to grow by 4% per year. (This was possibly to protect it from exchange rate fluctuations, taxes, inflation etc.).

At the same time, his estate could earn 7% per year.

If each of the prizes in the first year after his death was $45,000, how much money did he ended up leaving?

His heirs were surprised by his will and fought it. If they had been able to keep his estate, how much money would they have had in 2020, i.e. 124 years after his death?