Matheaufgabe Finanzmathematik?

Könnte mir einer bei der folgende Aufgabe helfen.

Bestimme Sie die Höhe des Lottogewinns, bei der Kevin sich 20 Jahre lang eine nachschüssige Rente von 5.000€ auszahlen lassen könnte.

Würde mich freuen wenn einer hilft danke euch

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Rammstein53
1 year ago

The task is not completely formulated. Apparently, an annual interest rate of 2% is assumed. The following is requested:

R = r * 1/q^n * (q^n – 1) / (q 1)

r = rate = 5000

n = Number of periods = 240

q = interest per period = 0.02/12 + 1 (here it is also unclear whether q = (1.02)^(1/12) is to be calculated instead.

If you use everything, you will arrive at EUR 988370.17.

Rammstein53
1 year ago
Reply to  Lenny3121

Thanks for the star

eterneladam
1 year ago

5,000 * q * (q^19 – 1) / (q – 1)

with q = 1/(1+i)

The interest i should be 0.02 as previously used in the subtask. I suppose that’s what I’m supposed to do, just as it’s about an annual pension.