Harley-Davidson Inc. manufactures motorcycles. During the years following 2018 (the company's 115th anniversary year), the company's gross income can be approximated¹ by 1.97 -0.13 billion dollars per year, wheret is time in years since January 1, 2018. Assume this rate holds through January 1, 2023, and assume a continuous interest rate of 2.0% per year. (a) What was the income of the Harley-Davidson Company in 2018 (t = 0)? What is the projected gross income in 2022 (t = 4)? The gross income in 2018 was 1.97 billion dollars. The projected gross income in 2022 is 1.45 (b) What was the present value, on January 1, 2018, of Harley-Davidson's gross income for the four years from January 1, 2018 to January 1, 2022? Round your answer to two decimal places. i 6.624 i billion dollars (c) What is the future value, on January 1, 2022, of the gross income for the preceding 4 years? 7.09 billion dollars. billion dollars 1www.marketwatch.com, accessed December 16, 2020.

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
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Harley-Davidson Inc. manufactures motorcycles. During the years following 2018 (the company's 115th anniversary year), the
company's gross income can be approximated¹ by 1.97 -0.13 billion dollars per year, wheret is time in years since January 1, 2018.
Assume this rate holds through January 1, 2023, and assume a continuous interest rate of 2.0% per year.
(a) What was the income of the Harley-Davidson Company in 2018 (t = 0)? What is the projected gross income in 2022 (t = 4)?
The gross income in 2018 was 1.97
billion dollars.
The projected gross income in 2022 is 1.45
(b) What was the present value, on January 1, 2018, of Harley-Davidson's gross income for the four years from January 1, 2018 to
January 1, 2022?
Round your answer to two decimal places.
i 6.624
i
billion dollars
(c) What is the future value, on January 1, 2022, of the gross income for the preceding 4 years?
7.09
billion dollars.
billion dollars
1www.marketwatch.com, accessed December 16, 2020.
Transcribed Image Text:Harley-Davidson Inc. manufactures motorcycles. During the years following 2018 (the company's 115th anniversary year), the company's gross income can be approximated¹ by 1.97 -0.13 billion dollars per year, wheret is time in years since January 1, 2018. Assume this rate holds through January 1, 2023, and assume a continuous interest rate of 2.0% per year. (a) What was the income of the Harley-Davidson Company in 2018 (t = 0)? What is the projected gross income in 2022 (t = 4)? The gross income in 2018 was 1.97 billion dollars. The projected gross income in 2022 is 1.45 (b) What was the present value, on January 1, 2018, of Harley-Davidson's gross income for the four years from January 1, 2018 to January 1, 2022? Round your answer to two decimal places. i 6.624 i billion dollars (c) What is the future value, on January 1, 2022, of the gross income for the preceding 4 years? 7.09 billion dollars. billion dollars 1www.marketwatch.com, accessed December 16, 2020.
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