If you purchase $27,000 in U.S. Treasury Bills with a discount rate of 4.2% for a period of 26 weeks, what is the effective interest rate? Round to the nearest hundredth percent.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter16: Working Capital Policy And Short-term Financing
Section: Chapter Questions
Problem 14P
icon
Related questions
Question
If you purchase $27,000 in U.S. Treasury Bills with a discount rate of 4.2% for a period of 26 weeks, what is the effective interest rate? Round to the nearest hundredth percent.
Step 1
The effective interest rate on a U.S. Treasury Bill, or T-Bill, is the actual interest rate on a loan to the government and takes into account the fact that the purchaser does not pay the full amount of the T-Bill. It is calculated using the interest, purchase price, and time.
The amount of interest on a T-Bill is calculated as follows where the discount rate is given as a decimal and the time will be a fraction whose numerator is the given amount of time in weeks and denominator is 52 weeks.
interest = face value ✕ discount rate ✕ time
The rate was given to be 4.2%. As a decimal, we have 
4.2% =  .
Calculate the interest (in $) for a $27,000 T-Bill with a discount of 4.2% for 26 weeks.
interest  =  face value ✕ discount rate ✕ 
time in weeks
52 weeks
 
   =  $27,000 ✕  ✕ 
26
52
 
   = 
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Treasury Market
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
EBK CONTEMPORARY FINANCIAL MANAGEMENT
EBK CONTEMPORARY FINANCIAL MANAGEMENT
Finance
ISBN:
9781337514835
Author:
MOYER
Publisher:
CENGAGE LEARNING - CONSIGNMENT