Short- and long-term

Let's discover what happens to the present value of the guaranteed payment and the pure endowment of 10,000 EUR when you change the time horizon from 5 to 10 or 30 years. The interest rate is still constant at \(2\%\) and the survival probabilities px have been preloaded.

Questo esercizio fa parte del corso

Life Insurance Products Valuation in R

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Istruzioni dell'esercizio

Assign the PVs of guaranteed payments of 10,000 EUR in 5, 10 and 30 years from now to PV. Use vectorization.
Calculate the survival probabilities kpx of (20) using cumprod() on the subset of px starting from 20 + 1 until length(px).
Use kpx at times c(5, 10, 30) to transform the PV of the guaranteed payments to the EPV of the corresponding pure endowments.

Esercizio pratico interattivo

Prova a risolvere questo esercizio completando il codice di esempio.

# PV of guaranteed payments of 10,000 in 5, 10 and 30 years
PV <- ___ * (___) ^ - c(___)
PV

# Survival probabilities of (20)
kpx <- ___(px[(___):___])

# EPV of pure endowments of 10,000 in 5, 10 and 30 years for (20)
___ * ___[c(___)]

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