what is the present value of this liability?

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter31: Capital Markets
Section: Chapter Questions
Problem 8E
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Imprudential, Inc., has an unfunded pension liability of $414 million that must be paid in 19 years. To assess the value of the firm’s stock, financial analysts want to discount this liability back to the present.
 If the relevant discount rate is 7.9 percent, what is the present value of this liability?

Expert Solution
Step 1

Here the Future value of the liability that has to be paid over a period of 19 yrs is. :- $414 

time period is :- 19 years 

interest rate (i) :-7.9% or 0.079 

Now the formula for calculating the present value from future value is :- 

PV = FV / (1+i)t

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