Question

Sam 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

Answer:

The lump sum be of $237,228.84

Explanation:

In order to calculate how large must the lump sum be we would have to use  and calculate the formula of Present value of annuity due as follows:

Present value of annuity due=(1+interest rate)*Annuity[1-(1+interest rate)^-time period]/rate

Present value of annuity due=(1+0.075)*$25,000[1-(1.075)^-15]/0.075

Present value of annuity due=$25,000*9.489153726

Present value of annuity due=$237,228.84(Approx)

The lump sum be of $237,228.84