Question #72
Reading: Reading 30 Pricing and Valuation of Forward Commitments
PDF File: Reading 30 Pricing and Valuation of Forward Commitments.pdf
Page: 30
Status: Unattempted
Part of Context Group: Q72-74
First in Group
Shared Context
Question
Using the price and predicted MRR rates in Exhibit 1, which of the following is closest to the predicted value of the FRA at the year end?
Answer Choices:
A. –$100,000
B. –-$85,000
C. –$62,000
Explanation
Typesetting math: 100%
The year end is 30 days away. At that point the required FRA would be a 1X4 (90 days
borrowing in 30 days' time).
To value the FRA, first price this FRA to compare to the current FRA price.
30 day MRR at year end 3.9% × 30/360 = 0.325%
120 day MRR at year end 4.5% × 120/360 = 1.5%
FRA price = 1.015/1.00325 – 1 = 0.01171
Quoted annually = 0.01171 × 360/90 = 0.046848 = 4.685%
Value = (3.8% – 4.685%) × $28.5 million × 90/360 = –$63,056
Discounted to year end = –$63,056/1.015 = –$62,124