A 65 year old employee retires from her employer with annual retirement payment received once per year of $60,000. Her remaining life expectancy is 15 years, and she has no surviving spouse
At a 4% discount rate, based on the risk of her employer paying her pension and the rate of similar risk investments, what is the lump-sum value of her pension at the time of her retirement?
The present value of annuity factor for n=15 and r=4% is 11.1184.
Retiree will get $60000 per year for next 15 years,
discount rate d = 4%
So, present value of this annuity using ordinary annuity formula is
PV = A*(1 - (1+d)^-t)/d = 60000*(1 - 1.04^-15)/0.04 = $667103.25
Or using present value of annuity factor for n=15 and r=4% is 11.1184 PV = 60000*11.1184 = $667104
A 65 year old employee retires from her employer with annual retirement payment received once per...
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