You plan to invest $1,000 for one year and you have the opportunity to invest it at a 12 percent APR, compounded monthly. Alternatively, you could invest the funds at an annual rate of 12.3 percent compounded semiannually. What is the EAY of each alternative? (Hint: You need to carry your answer to at least the fourth decimal place.) Which investment should be chosen?

Financial Management: Theory & Practice
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Chapter4: Time Value Of Money
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5. Effective Annual Yield (EAY) and Effective Annual Rate (EAR)
A. You plan to invest $1,000 for one year and you have the opportunity to invest it at a
12 percent APR, compounded monthly. Alternatively, you could invest the funds at an
annual rate of 12.3 percent compounded semiannually. What is the EAY of each
alternative? (Hint: You need to carry your answer to at least the fourth decimal place.)
Which investment should be chosen?
B. A car loan offered by Bank One requires quarterly payments and has an APR of 4.8
percent, whereas a the same loan amount may be obtained from Bank Two at an APR
of 5 percent with monthly payments. Which loan would you choose and why?
Transcribed Image Text:5. Effective Annual Yield (EAY) and Effective Annual Rate (EAR) A. You plan to invest $1,000 for one year and you have the opportunity to invest it at a 12 percent APR, compounded monthly. Alternatively, you could invest the funds at an annual rate of 12.3 percent compounded semiannually. What is the EAY of each alternative? (Hint: You need to carry your answer to at least the fourth decimal place.) Which investment should be chosen? B. A car loan offered by Bank One requires quarterly payments and has an APR of 4.8 percent, whereas a the same loan amount may be obtained from Bank Two at an APR of 5 percent with monthly payments. Which loan would you choose and why?
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