A movie stuntman receives an annual salary of $110,000, but becomes a quadriplegic after jumping from a cliff into water that is too shallow. He can never work again as a stuntman. Through a legal settlement with his insurance company, he is granted a continuous income stream of $110,000 per year for 20 years. The stuntman invests the money at 7.8%, compounded continuously. a) Find the accumulated future value of the continuous income stream. ea b) Thinking that he might not live 20 years, the stuntman negotiates a flat sum payment from the insurance company, which is the accumulated present value of the continuous income stream. What is that amount? a) The accumulated future value is (Round to the nearest ten dollars as needed.) b) The accumulated present value is $. (Round to the nearest ten dollars as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.3: Geometric Sequences And Series
Problem 8ECP: An investor deposits $70 on the first day of each month in an account that pays 2 interest,...
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A movie stuntman receives an annual salary of $110,000, but becomes a quadriplegic after jumping from a cliff into water that is too shallow. He can never
work again as a stuntman. Through a legal settlement with his insurance company, he is granted a continuous income stream of $110,000 per year for 20
years. The stuntman invests the money at 7.8%, compounded continuously.
a) Find the accumulated future value of the continuous income stream.
hea b) Thinking that he might not live 20 years, the stuntman negotiates a flat sum payment from the insurance company, which is the accumulated present
value of the continuous income stream. What is that amount?
e
a) The accumulated future value is $.
(Round to the nearest ten dollars as needed.)
b) The accumulated present value is $.
(Round to the nearest ten dollars as needed.).
Transcribed Image Text:Excel A movie stuntman receives an annual salary of $110,000, but becomes a quadriplegic after jumping from a cliff into water that is too shallow. He can never work again as a stuntman. Through a legal settlement with his insurance company, he is granted a continuous income stream of $110,000 per year for 20 years. The stuntman invests the money at 7.8%, compounded continuously. a) Find the accumulated future value of the continuous income stream. hea b) Thinking that he might not live 20 years, the stuntman negotiates a flat sum payment from the insurance company, which is the accumulated present value of the continuous income stream. What is that amount? e a) The accumulated future value is $. (Round to the nearest ten dollars as needed.) b) The accumulated present value is $. (Round to the nearest ten dollars as needed.).
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