216C: Wealthy man spends all money and then must live as begger

I am trying to find a SHORT STORY I read in the 1950s:
“(Possibly) in the late Victorian era, two gentlemen espy a beggar sitting in the street. One tells the other the story of the beggar. He was once a wealthy man, but was disturbed that when he eventually died he would leave behind at least part of his fortune, which he would not have enjoyed himself. He either did not believe in inherited wealth, or had no worthy heirs, I am unsure. He therefore calculated how much he needed every year to continue enjoying the life to which he had become accustomed. He then assessed his total assets, divided them by the annual need, and determined the date upon which he would be down to his last penny. He then vowed that he would live life to the full, and then kill himself on that date. Inevitably, when the fateful day came, he could not bring himself to go through with it, and was doomed to spend the rest of his life as a beggar”.
Many thanks in anticipation of any help identifying this.

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