Question

Your friend was injured in an accident, and the insurance company has offered him the choice of $25,000 per year for 15 years, with the first payment being made today, or a lump sum. If a fair return is 7.5%, how large must the lump sum be to leave him as well off financially as with the annuity

Answer 1

PV=$237,228.84

Step-by-step explanation:

Giving the following information:

Annual payment= $25,000

Number of periods= 15 years

Interest rate= 7.5%

To calculate the value of the payments today (PV), we need to use the following formula:

PV= A*{(1/i) - 1/[i*(1 + i)^n]} * (1+i)

PV= 25,000*{(1/0.075) - 1/ [0.075*(1.075^15)]} * 1.075

PV=$237,228.84