LeetQuiz Logo
Privacy Policy•contact@leetquiz.com
© 2025 LeetQuiz All rights reserved.
Financial Risk Manager Part 1

Financial Risk Manager Part 1

Get started today

Ultimate access to all questions.


A trader is analyzing forward rates by utilizing the current term structure of continuously compounded zero rates. They have compiled the following data:

Maturity in yearsZero rate (%)
11.50
22.00
32.50
43.00
53.50

Using the above information, calculate the approximate forward rate for a period that commences in 3 years and extends for 2 years.

Exam-Like



Explanation:

The correct answer is C, which represents the 2-year forward rate starting in 3 years. This forward rate is calculated using the formula:

3F2=(Rs×5)−(R3×3)(5−3)3F2 = \frac{(Rs \times 5) - (R3 \times 3)}{(5 - 3)}3F2=(5−3)(Rs×5)−(R3×3)​

Where:

  • R3R3R3 is the 3-year zero rate, which is 2.50%.
  • RsRsRs is the 5-year zero rate, which is 3.50%.
  • 3F23F23F2 is the 2-year forward rate in year 3.

Plugging in the values, we get:

3F2=(3.50%×5)−(2.50%×3)23F2 = \frac{(3.50\% \times 5) - (2.50\% \times 3)}{2}3F2=2(3.50%×5)−(2.50%×3)​ 3F2=17.5%−7.5%23F2 = \frac{17.5\% - 7.5\%}{2}3F2=217.5%−7.5%​ 3F2=10%23F2 = \frac{10\%}{2}3F2=210%​ 3F2=5%3F2 = 5\%3F2=5%

This calculation shows that the 2-year forward rate starting in 3 years is 5%, which corresponds to option C. The other options are incorrect for various reasons:

  • Option A (3.50%) is the 5-year zero rate, not the forward rate.
  • Option B (4.17%) is incorrectly calculated using a misrepresented formula.
  • Option D (6.09%) is the result of an incorrect formula application.

The explanation is based on the principles outlined in the "Financial Markets and Products" section of the reference material by the Global Association of Risk Professionals, specifically Chapter 16 on the properties of interest rates, with the learning objective to derive forward interest rates from a set of spot rates.

Powered ByGPT-5