Maturity BasedPricingBased Pricing
Maturity-Based Pricing
Sovereign and SovereignGuaranteed Borrowers
Key Concepts and Examples
Calculating Average Loan Maturity and Associated Maturity Premium
This document provides general information on maturity-based pricing and related concepts, such as Average Loan Maturity
Introduction
ADB's Board of Directors approved the introduction of maturity-based pricing for LIBOR-based loans (LBL) to sovereign borrowers or with sovereign guarantees, and local currency loans with sovereign guarantees on 14 December 2011.
A maturity premium will be applicable to loans for which formal loan negotiations are completed on or after 1 April 2012.
Average loan maturity is an important element under maturity-based pricing.
2
Maturity Premium
(Sovereign and sovereign-guaranteed borrowers)
? The average loan maturity will determine how much maturity premium is applied on the loan.
Average Loan Maturity
Maturity Premiuma
Less than or equal to 13 years Greater than 13 years and up to 16 years Greater than 16 years and up to 19 years
Nil 0.10% per annum 0.20% per annum
? Maturity premium is applicable to loans for which formal loan negotiations are completed on or after 1 April 2012.
? The average loan maturity is subject to a limit of 19 years.
a To be applied for the entire life of the loan
3
Average Loan Maturity
Average loan maturity is the weighted average time to repay a loan. It considers, both, repayment dates and amounts to provide a better estimation of how quickly a loan is repaid. Repayment dates depend on the first principal payment date, grace period and loan term. Repayment amounts depend on repayment method selected.
Choice of key repayment terms, such as Grace Period, Loan Term and Repayment Method are important considerations, given their effect on Average Loan Maturity.
4
Average Loan Maturity - Calculation
Average loan maturity is calculated as the average of the number of years until each principal repayment amount is due, weighted by the principal repayment amount. Average Loan Maturity = Sum of Weighted Repayments Sum of Total Repayments
5
Average Loan Maturity
Examples
Disclaimer : Numbers are for illustrative purposes only
Example 1: Average Loan Maturity Calculation Straight-Line Repayment Method
Years
(A) Grace Period 0.50 1.00 1.50 2.00 Repayment Period 2.50 3.00 3.50 4.00 4.50 5.00
Repayment Method
Straight Line (5-Year Maturity)
Principal
Weighted
Repayments Repayments
(B)
C = (A x B)
10.00 10.00 10.00 10.00 10.00 10.00
25.00 30.00 35.00 40.00 45.00 50.00
Sum
60.00
225.00
= Sum of C / Sum of B = 225.070 / 60.00
3.75 years
Loan Amount: Loan Term (including Grace Period): Grace Period:* Repayment Method:
US$ 60 million
5 years 2 years Straight-Line
* Grace Period ? the period prior to the first principal payment date wherein no principal repayments are made.
Average Loan Maturity
Example 2: Average Loan Maturity Calculation Annuity-type Repayment Method
Discount Rate : Time (Years)
(A) 0.5-5.0
5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 10.5 11.0 11.5 12.0 12.5 13.0 13.5 14.0 14.5 15.0 Sum
8
Repayment Method
Annuity '1'
Annuity '2'
5.00%
10.00%
Principal
Weighted
Principal
Weighted
Repayment
Repayment
Repayment
Repayment
(B1)
C1=(AxB1)
(B2)
C2=(AxB2)
Grace Period
2,348,828
12,918,552
1,814,555
9,980,054
2,407,548
14,445,291
1,905,283
11,431,698
2,467,737
16,040,291
2,000,547
13,003,556
2,529,431 2,592,666
17,706,014 19,444,997
2,100,574 2,205,603
14,704,021 16,542,024
2,657,483
21,259,864
2,315,883
18,527,067
2,723,920
23,153,320
2,431,678
20,669,259
2,792,018
25,128,162
2,553,261
22,979,353
2,861,819
27,187,276
2,680,925
25,468,783
2,933,364
29,333,640
2,814,971
28,149,707
3,006,698 3,081,866
31,570,330 33,900,521
2,955,719 3,103,505
31,035,052 34,138,558
3,158,912
36,327,490
3,258,680
37,474,826
3,237,885
38,854,620
3,421,615
41,059,374
3,318,832
41,485,401
3,592,695
44,908,691
3,401,803
44,223,438
3,772,330
49,040,290
3,486,848 3,574,019
47,072,447 50,036,268
3,960,947 4,158,994
53,472,778 58,225,914
3,663,370
53,118,860
4,366,944
63,320,681
3,754,954
56,324,308
4,585,291
68,779,360
60,000,000 639,531,090
60,000,000 662,911,046
=Sum of C1 /
=Sum of C2 /
Sum of B1 =639,531,090/
60,000,000
10.66 years
Sum of B2 =662,911,046/
60,000,000
11.05 years
Loan Amount: US$ 60 million
Loan Term (including Grace
Period):
15 years
Grace Period: 5 years
Repayment Method: Annuity, with different discount rates
The lower the discount rate, the shorter the Average Loan Maturity.
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