A bank is able to issue a $500,000 worth of a 90-day commercial paper with a 2% discount yield and an equivalent size and risk 90-day certificate of deposit with a 3% single payment yield today. Prices of securities are quoted assuming no arbitrage, and hence the present value of all future cash flows for the securities are equivalent to their corresponding prices. The bank is considering the issuance of either the commercial paper or the certificate of deposit to replicate the effective-annual return (interest rate) of a zero-coupon bond currently included in the bank's portfolio. This bond is currently quoted in the market at $910.55 and matures in three years. The bond has the standard par value (face value) of $1,000 and a yield to maturity of 3.173%. Which security should the bank issue to replicate the effective-annual return of the zero-coupon bond? o Issue commercial paper Issue certificate of deposit

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
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A bank is able to issue a $500,000 worth of a 90-day commercial paper with a 2% discount yield and an
equivalent size and risk 90-day certificate of deposit with a 3% single payment yield today. Prices of securities
are quoted assuming no arbitrage, and hence the present value of all future cash flows for the securities are
equivalent to their corresponding prices.
The bank is considering the issuance of either the commercial paper or the certificate of deposit to replicate the
effective-annual return (interest rate) of a zero-coupon bond currently included in the bank's portfolio. This
bond is currently quoted in the market at $910.55 and matures in three years. The bond has the standard par
value (face value) of $1,000 and a yield to maturity of 3.173%.
Which security should the bank issue to replicate the effective-annual return of the zero-coupon bond?
Issue commercial paper
o Issue certificate of deposit
Transcribed Image Text:A bank is able to issue a $500,000 worth of a 90-day commercial paper with a 2% discount yield and an equivalent size and risk 90-day certificate of deposit with a 3% single payment yield today. Prices of securities are quoted assuming no arbitrage, and hence the present value of all future cash flows for the securities are equivalent to their corresponding prices. The bank is considering the issuance of either the commercial paper or the certificate of deposit to replicate the effective-annual return (interest rate) of a zero-coupon bond currently included in the bank's portfolio. This bond is currently quoted in the market at $910.55 and matures in three years. The bond has the standard par value (face value) of $1,000 and a yield to maturity of 3.173%. Which security should the bank issue to replicate the effective-annual return of the zero-coupon bond? Issue commercial paper o Issue certificate of deposit
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