lender engages in a 15-day $1,000,000 reverse repo at a rate of 2.50%. The haircut is 2%. The current market value of the loan is $980,000. What rate of return did the lender earn on annualized basis? Use 360-day for annualization.

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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  1. A lender engages in a 15-day $1,000,000 reverse repo at a rate of 2.50%. The haircut is 2%. The current market value of the loan is $980,000. What rate of return did the lender earn on annualized basis? Use 360-day for annualization.  

      A

    $1,000.42                        

      B

    $810.63                            

      C

    $466.86                            

      D

    $880.37

     

Expert Solution
Step 1

In a reverse repo, the borrower will have to will give the collateral to lender and the lender will pay the borrower a certain amount. Then the borrower will have to purchase back the collateral at a higher rate. This includes the interest.

The formula to determine amount borrowed is as follows:

Amount borrowed = Current market value * (1-haircut%)

Interest that the lender earns is calculated using the formula below:

Interest Earned = Amount borrowed * interest rate * number of days360

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