
Explanation:
Under the matched-maturity marginal cost of funds approach, an amortizing loan is conceptually broken down into a series of bullet loans matching each principal cash flow. Assuming equal principal repayments, a 6-year amortizing loan has 6 principal repayments of equal size (1/6 of the principal each year). Each cash flow is matched with funding of the same maturity.
The total uniform liquidity premium (R) applied to the outstanding balance of the loan must equal the sum of the costs of the individual match-funded pieces over their respective terms.
$6/6 + 5/6 + 4/6 + 3/6 + 2/6 + 1/6 = 21/6$Equating the two to solve for the uniform rate R:
Therefore, the correct answer is D.
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Q.72 Given that a six-year amortizing bullet loan in recent times has the following annual liquidity premiums: 6, 14, 18, 24, 27, 32. Use the matched-maturity marginal cost of funds approach to calculate the charge of funding liquidity risk of this loan.
A
511.00 bps
B
42.33 bps
C
33.43 bps
D
24.33 bps
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