A 180-day $500,000 banker's acceptance (BA) is currently trading at a discount of 3.75%. You purchase the BA today and sell it 90 days later when the three-month yield is 4.10%. What is your rate of return? Use 360-day to annualize.  The following is true, except

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 180-day $500,000 banker's acceptance (BA) is currently trading at a discount of 3.75%. You purchase the BA today and sell it 90 days later when the three-month yield is 4.10%. What is your rate of return? Use 360-day to annualize. 

The following is true, except

  A

The price of the BA today is $490,625                                                                                           

 

  B

The price of the BA 90 days from today is $494,875                                                                                                

 

  C

Your rate of return is -3.46%                                                                                            

 

  D

Your rate of return is 3.46%

 

Expert Solution
Step 1

Banker's acceptance is a type of security that would pay the par value at maturity. This instrument will be backed by a bank. The banker's acceptance can be traded at a discount. 

The formula to determine the price of a banker's acceptance is as follows:

Price = Face value * (1 - interest rate * number of days until maturity360)

Where face value = $500,000

To determine the annual return we need to use the formula below:

Annual return = (Selling PriceBuying Price-1)*360Number of days the security was held

 

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