The current price of a stock is 200, and the continuously compounded annual risk-free interest rate is 4%. A dividend will be paid every quarter for the next 3 years, with the first dividend occurring 3 months from now. The amount of the first dividend is 1.50, but each subsequent dividend will be 1% higher than the one previously paid. Calculate the fair price of a 3-year forward contract on this stock.
The current price of a stock is 200, and the continuously compounded annual risk-free interest rate is 4%. A dividend will be paid every quarter for the next 3 years, with the first dividend occurring 3 months from now. The amount of the first dividend is 1.50, but each subsequent dividend will be 1% higher than the one previously paid. Calculate the fair price of a 3-year forward contract on this stock.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Transcribed Image Text:5. The current price of a stock is 200, and the continuously compounded annual risk-free interest rate
is 4%. A dividend will be paid every quarter for the next 3 years, with the first dividend occurring
3 months from now. The amount of the first dividend is 1.50, but each subsequent dividend will be
1% higher than the one previously paid. Calculate the fair price of a 3-year forward contract on this
stock.
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