Abstract
A reverse mortgage is a financial product that allows a senior homeowner to access their home equity. In contrast to a traditional or conventional “forward” mortgage, a reverse mortgage allows the borrower to draw on the equity in the home and only repay the loan when they vacate the house. This allows a borrower with few liquid assets but a lot of accumulated home equity to access trapped cash. The FHA’s reverse mortgage program referred to as the Home Equity Conversion (HECM) program was established in 1989, though Ginnie Mae mortgage-backed securities backed by HECM’s (HMBS) were issued for investors and the first Ginnie Mae H-REMIC (CMO) backed by multiple HMBS pools was not issued until 2009. The methods and parameters used to compute yields with varying LIBOR assumptions for CMO tranches backed by reverse mortgages differs from those for traditional mortgages.
The Author would like to thank Rico Fu for preparing the H-REMIC Analytics in the Beyondbond, Inc. proprietary systems and Joseph J. Kelly from New View Advisors LLC for his invaluable assistance in validating our computational results.
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Notes
- 1.
See Department of Housing and Urban Development website with respect to “FHA Reverse Mortgages (HECMs) for Seniors” section.
- 2.
∎
- 3.
Class
Principal type
Interest type
AF
HPT: HECM MBS Pass-Through Class
FLY/HWAC/HZ: Floating Rate/HECM MBS Weighted Average Coupon Class/HECM MBS Accrual Class
IF
NTL (HPT): Notional (HECM MBS Pass-Through) Class
HWAC/IO/DLY: HECM MBS Weighted Average Coupon Class/Interest Only/Delay
Appendix 3 provides the Payment Rule script example based on Beyondbond’s proprietary analytic system.
References
Rai, V., Garg, T., Rose, B., and Parulekar, R., “A Primer on Reverse Mortgages”, Citigroup, August 11, 2009.
Rao, J., Gordon, B., and Koscielniak, Z., “A Primer on Reverse Mortgages”, Morgan Stanley, October 6, 2009.
Schultz, G., “Understanding Home Equity Reverse Mortgages”, Wells Fargo Securities, July 12, 2010.
Schultz, G. and Ahlgren, R., “Understanding the H-REMIC Waterfall”, Wells Fargo Securities, July 21, 2010.
Strand, N. and Deb, S., “Reverse Mortgages and HMBS”, Barclays Capital, March 18, 2010.
Alexander, L., “The Root Cause of the Current Liquidity/Credit Crunch”, Citigroup, December 4, 2008.
Ginnie Mae MBS Guide CHAPTER 35 “HOME EQUITY CONVERSION MORTGAGE LOAN POOLS – SPECIAL REQUIREMENTS (HECM//HMBS)”, July 1, 2011.
Patterson, M., Barberio, V., Bailey G., and Kelsch, M., “Rating U.S. Home Equity Conversion Mortgage Securitizations”, Fitch Ratings, June 4, 2007.
HUD, Handbook 4235.1 REV-1, November 18, 1994.
Ginnie Mae REMIC Offering Circulars 2010-010O, June 23, 2010.
Department of Housing and Urban Development
NRMLA – Consumer site administered by the National Reverse Mortgage Lenders Association URL: http://www.nrmlaonline.org/rms/
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Appendices
Appendix 1: Assumed Trust Assets GNR 2011-H10: HMBS Pools (see Ginnie Mae REMIC Offering Circulars 2010)
Assumed characteristics of the HECMs and the participations underlying the trust assets(1) | ||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Payment plan | HECM MBS principal balance(2) | HECM loan balance | Approximate weighted average HECM age (in months)(3) | HECM interest type | Index | Rate reset frequency(4) | Next rate reset months(5) | Approximate weighted average gross interest rate(6) | Approximate weighted average gross margin(7) | approximate weighted average gross lifetime interest rate floor(8) | Approximate weighted average gross lifetime interest rate cap(9) | Approximate weighted average MIP Fee(10) | approximate weighted average servicing fee margin(11) | Monthly servicing fee(12) | Monthly scheduled draw(13) | Approximate weighted average remaining draw term (in months)(14) | Available line of credit(15) | Maximum claim amount(16) | Pool number | HECM MBS issue date |
Line of credit | $18,619,073.29 | $149,868,750.73 | 20 | FLT | 1-month LIBOR | Monthly | 1 | 3.260% | 3.000% | 3.000% | 13.275% | 0.500% | 0.060% | $29,630.00 | (18) | (18) | $ 42,160,357.74 | $289,116,200.00 | 892359 | December 2009 |
Modified tenure | 907,305.03 | 4,392,716.09 | 19 | FLT | 1-month LIBOR | Monthly | 1 | 3.260 | 3.000 | 3.000 | 13.275 | 0.500 | 0.060 | 1,130.00 | $ 35,684.25 | (19) | 2,374,137.91 | 15,726,500.00 | 892359 | December 2009 |
Modified term | 2,100,257.97 | 9,203,544.50 | 19 | FLT | 1-month LIBOR | Monthly | 1 | 3.260 | 3.000 | 3.000 | 13.271 | 0.500 | 0.060 | 2,010.00 | 96,748.57 | 14 | 3,380,700.28 | 24,488,500.00 | 892359 | December 2009 |
Tenure | 542,880.48 | 3,936,940.86 | 19 | FLT | 1-month LIBOR | Monthly | 1 | 3.260 | 3.000 | 3.000 | 13.270 | 0.500 | 0.060 | 910.00 | 38,604.14 | (19) | 0.00 | 12,763,500.00 | 892359 | December 2009 |
Term | 97,118.96 | 2,577,209.70 | 22 | FLT | 1-month LIBOR | Monthly | 1 | 3.260 | 3.000 | 3.000 | 13.355 | 0.500 | 0.060 | 535.00 | 31,655.63 | 22 | 0.00 | 6,171,000.00 | 892359 | December 2009 |
Line of credit | 26,378,756.79 | 28,212,847.90 | 31 | FLT | 1-month LIBOR | Monthly | 1 | 1.144 | 0.886 | 0.886 | 13.366 | 0.500 | 0.090 | 6,605.00 | (18) | (18) | 3,874,061.82 | 44,567,491.00 | 892371 | December 2009 |
Modified tenure | 800,558.63 | 1,039,739.89 | 32 | FLT | 1-month LIBOR | Monthly | 1 | 1.228 | 0.968 | 0.968 | 13.447 | 0.500 | 0.090 | 310.00 | 8,842.86 | (19) | 186,804.38 | 2,482,515.00 | 892371 | December 2009 |
Modified term | 1,217,565.63 | 1,606,802.18 | 32 | FLT | 1-month LIBOR | Monthly | 1 | 1.112 | 0.853 | 0.853 | 13.330 | 0.500 | 0.090 | (17) | 14,044.09 | 83 | 54,838.49 | 3,295,775.00 | 892371 | December 2009 |
Tenure | 225,384.11 | 278,675.63 | 32 | FLT | 1-month LIBOR | Monthly | 1 | 1.079 | 0.819 | 0.819 | 13.294 | 0.500 | 0.090 | 125.00 | 3,056.04 | (19) | 0.00 | 977,000.00 | 892371 | December 2009 |
Term | 159,213.20 | 202,880.29 | 31 | FLT | 1-month LIBOR | Monthly | 1 | 1.241 | 0.982 | 0.982 | 13.462 | 0.500 | 0.090 | (17) | 2,529.25 | 172 | 0.00 | 618,000.00 | 892371 | December 2009 |
Line of credit | 36,059,285.68 | 38,263,386.61 | 30 | FLT | 1-month LIBOR | Monthly | 1 | 1.681 | 1.421 | 1.421 | 13.942 | 0.500 | 0.090 | 9,950.00 | (18) | (18) | 3,655,008.89 | 58,646,485.00 | 892373 | December 2009 |
Modified tenure | 404,228.16 | 584,857.30 | 30 | FLT | 1-month LIBOR | Monthly | 1 | 1.759 | 1.499 | 1.499 | 14.477 | 0.500 | 0.090 | 230.00 | 4,966.16 | (19) | 168,926.99 | 1,825,160.00 | 892373 | December 2009 |
Modified term | 500,822.39 | 637,769.39 | 31 | FLT | 1-month LIBOR | Monthly | 1 | 1.679 | 1.419 | 1.419 | 13.799 | 0.500 | 0.090 | 295.00 | 6,413.99 | 51 | 248,476.24 | 1,753,290.00 | 892373 | December 2009 |
Tenure | 262,154.81 | 304,121.40 | 29 | FLT | 1-month LIBOR | Monthly | 1 | 1.650 | 1.390 | 1.390 | 13.183 | 0.500 | 0.090 | 130.00 | 2,326.21 | (19) | 0.00 | 880,000.00 | 892373 | December 2009 |
Term | 203,685.31 | 242,586.98 | 31 | FLT | 1-month LIBOR | Monthly | 1 | 1.724 | 1.464 | 1.464 | 13.698 | 0.500 | 0.090 | 60.00 | 2,235.44 | 80 | 0.00 | 549,950.00 | 892373 | December 2009 |
Line of credit | 43,771,754.23 | 47,178,372.92 | 30 | FLT | 1-month LIBOR | Monthly | 1 | 1.409 | 1.156 | 1.156 | 14.532 | 0.500 | 0.090 | 11,571.00 | (18) | (18) | 8,816,539.75 | 77,009,022.00 | 892374 | December 2009 |
Modified tenure | 1,420,453.11 | 1,796,027.09 | 31 | FLT | 1-month LIBOR | Monthly | 1 | 1.421 | 1.164 | 1.164 | 14.380 | 0.500 | 0.090 | 585.00 | 14,762.00 | (19) | 608,278.20 | 5,153,538.00 | 892374 | December 2009 |
Modified term | 1,753,709.43 | 2,426,214.92 | 30 | FLT | 1-month LIBOR | Monthly | 1 | 1.430 | 1.173 | 1.173 | 14.518 | 0.500 | 0.090 | 670.00 | 30,620.73 | 47 | 94,061.24 | 5,152,860.00 | 892374 | December 2009 |
Tenure | 336,097.61 | 443,640.54 | 31 | FLT | 1-month LIBOR | Monthly | 1 | 1.430 | 1.173 | 1.173 | 14.600 | 0.500 | 0.090 | 280.00 | 6,187.21 | (19) | 0.00 | 1,782,010.00 | 892374 | December 2009 |
Term | 209,903.41 | 243,198.71 | 30 | FLT | 1-month LIBOR | Monthly | 1 | 1.430 | 1.173 | 1.173 | 14.680 | 0.500 | 0.090 | 85.00 | 1,865.53 | 154 | 0.00 | 542,350.00 | 892373 | December 2009 |
Line of credit | 779,906.80 | 18,243,636.18 | 37 | FLT | 1-month LIBOR | Monthly | 1 | 1.657 | 1.397 | 1.397 | 14.334 | 0.500 | 0.160 | 3,695.00 | (18) | (18) | 1,384,595.54 | 26,492,633.00 | 891840 | June2009 |
Modified tenure | 4,168.16 | 276,577.79 | 38 | FLT | 1-month LIBOR | Monthly | 1 | 1.344 | 1.084 | 1.084 | 14.343 | 0.500 | 0.160 | 70.00 | 750.00 | (19) | 59,777.34 | 560,290.00 | 891840 | June 2009 |
Modified term | 38,071.44 | 515,419.12 | 38 | FLT | 1-month LIBOR | Monthly | 1 | 1.384 | 1.124 | 1.124 | 14.567 | 0.500 | 0.160 | 105.00 | 4,632.02 | 38 | 158,360.96 | 906,790.00 | 891840 | June 2009 |
Tenure | 2,319.67 | 73,798.97 | 37 | FLT | 1-month LIBOR | Monthly | 1 | 1.752 | 1.492 | 1.492 | 14.603 | 0.500 | 0.160 | 35.00 | 177.36 | (19) | 0.00 | 125,000.00 | 891840 | June 2009 |
Term | 30,407.98 | 144,900.42 | 37 | FLT | 1-month LIBOR | Monthly | 1 | 1.260 | 1.000 | 1.000 | 13.775 | 0.500 | 0.160 | 35.00 | 3,216.61 | 64 | 0.00 | 362,790.00 | 891840 | June 2009 |
Line of credit | 4,128,213.10 | 88,895,122.30 | 38 | FLT | 1-month LIBOR | Monthly | 1 | 0.998 | 0.738 | 0.738 | 14.247 | 0.500 | 0.100 | 19,955.00 | (18) | (18) | 10,731,394.22 | 135,126,549.00 | 892600 | November 2009 |
Modified tenure | 185,396.54 | 2,521,431.96 | 39 | FLT | 1-month LIBOR | Monthly | 1 | 0.958 | 0.698 | 0.698 | 14.629 | 0.500 | 0.100 | 775.00 | 14,283.14 | (19) | 786,666.47 | 6,253,210.00 | 892600 | November 2009 |
Modified term | 555,414.76 | 4,787,178.77 | 39 | FLT | 1-month LIBOR | Monthly | 1 | 0.967 | 0.707 | 0.707 | 14.631 | 0.500 | 0.100 | 1,320.00 | 31,017.08 | 79 | 259,105.80 | 9,311,740.00 | 892600 | November 2009 |
Tenure | 228,230.16 | 3,377,186.82 | 38 | FLT | 1-month LIBOR | Monthly | 1 | 0.986 | 0.726 | 0.726 | 14.560 | 0.500 | 0.100 | 995.00 | 21,332.02 | (19) | 0.00 | 7,959,515.00 | 892600 | November 2009 |
Term | 60,724.98 | 756,181.60 | 38 | FLT | 1-month LIBOR | Monthly | 1 | 0.960 | 0.700 | 0.700 | 14.370 | 0.500 | 0.100 | 230.00 | 5,434.84 | 98 | 0.00 | 1,514,790.00 | 892600 | November 2009 |
Line of credit | 7,112,529.64 | 40,252,789.51 | 19 | FLT | 1-month LIBOR | Monthly | 1 | 2.510 | 2.250 | 2.250 | 12.498 | 0.500 | 0.060 | 8,575.00 | (18) | (18) | 17,037,176.20 | 85,095,300.00 | 892356 | December 2009 |
Modified tenure | 335,160.64 | 1,660,646.47 | 18 | FLT | 1-month LIBOR | Monthly | 1 | 2.510 | 2.250 | 2.250 | 12.500 | 0.500 | 0.060 | 420.00 | 14,829.97 | (19) | 722,937.75 | 6,017,000.00 | 892356 | December 2009 |
Modifiedterm | 644,092.55 | 1,833,051.52 | 19 | FLT | 1-month LIBOR | Monthly | 1 | 2.509 | 2.250 | 2.250 | 12.497 | 0.500 | 0.060 | 375.00 | 40,475.05 | 14 | 729,977.43 | 5,290,500.00 | 892356 | December 2009 |
Tenure | 799,042.10 | 1,666,493.11 | 19 | FLT | 1-month LIBOR | Monthly | 1 | 2.510 | 2.250 | 2.250 | 12.497 | 0.500 | 0.060 | 420.00 | 13,379.10 | (19) | 0.00 | 5,171,000.00 | 892356 | December 2009 |
Term | 334,486.52 | 2,101,663.46 | 18 | FLT | 1-month LIBOR | Monthly | 1 | 2.510 | 2.250 | 2.250 | 12.498 | 0.500 | 0.060 | 310.00 | 23,134.31 | 18 | 0.00 | 4,546,000.00 | 892356 | December 2009 |
Line of credit | 1,092,376.97 | 89,638,699.11 | 38 | FLT | 1-month LIBOR | Monthly | 1 | 0.997 | 0.737 | 0.737 | 14.142 | 0.500 | 0.100 | 20,250.00 | (18) | (18) | 11,057,553.19 | 136,880,385.00 | 892602 | January 2010 |
Modified tenure | 52,182.02 | 2,567,623.77 | 38 | FLT | 1-month LIBOR | Monthly | 1 | 0.974 | 0.714 | 0.714 | 14.285 | 0.500 | 0.100 | 810.00 | 15,150.88 | (19) | 813,466.84 | 6,503,210.00 | 892602 | January 2010 |
Modified term | 135,669.10 | 4,549,210.02 | 39 | FLT | 1-month LIBOR | Monthly | 1 | 0.959 | 0.699 | 0.699 | 14.539 | 0.500 | 0.100 | 1,285.00 | 31,017.08 | 89 | 257,897.61 | 8,948,950.00 | 892602 | January 2010 |
Tenure | 59,286.97 | 3,513,477.70 | 38 | FLT | 1-month LIBOR | Monthly | 1 | 0.977 | 0.717 | 0.717 | 14.498 | 0.500 | 0.100 | 1,055.00 | 22,341.88 | (19) | 0.00 | 8,304,675.00 | 892602 | January 2010 |
Appendix 2: HECM PPC Curve: CPR Percentage in Effect by HECM Age
Age | CPR % | Age | CPR % | Age | CPR % | Age | CPR % | Age | CPR % | Age | CPR % |
---|---|---|---|---|---|---|---|---|---|---|---|
1 | 0.00000 | 61 | 15.09115 | 121 | 22.43490 | 181 | 29.77865 | 241 | 37.05000 | 301 | 40.05000 |
2 | 0.54545 | 62 | 15.21354 | 122 | 22.55729 | 182 | 29.90104 | 242 | 37.10000 | 302 | 40.10000 |
3 | 1.09091 | 63 | 15.33594 | 123 | 22.67969 | 183 | 30.02344 | 243 | 37.15000 | 303 | 40.15000 |
4 | 1.63636 | 64 | 15.45833 | 124 | 22.80208 | 184 | 30.14583 | 244 | 37.20000 | 304 | 40.20000 |
5 | 2.18182 | 65 | 15.58073 | 125 | 22.92448 | 185 | 30.26823 | 245 | 37.25000 | 305 | 40.25000 |
6 | 2.72727 | 66 | 15.70313 | 126 | 23.04688 | 186 | 30.39063 | 246 | 37.30000 | 306 | 40.30000 |
7 | 3.27273 | 67 | 15.82552 | 127 | 23.16927 | 187 | 30.51302 | 247 | 37.35000 | 307 | 40.35000 |
8 | 3.81818 | 68 | 15.94792 | 128 | 23.29167 | 188 | 30.63542 | 248 | 37.40000 | 308 | 40.40000 |
9 | 4.36364 | 69 | 16.07031 | 129 | 23.41406 | 189 | 30.75781 | 249 | 37.45000 | 309 | 40.45000 |
10 | 4.90909 | 70 | 16.19271 | 130 | 23.53646 | 190 | 30.88021 | 250 | 37.50000 | 310 | 40.50000 |
11 | 5.45455 | 71 | 16.31510 | 131 | 23.65885 | 191 | 31.00260 | 251 | 37.55000 | 311 | 40.55000 |
12 | 6.00000 | 72 | 16.43750 | 132 | 23.78125 | 192 | 31.12500 | 252 | 37.60000 | 312 | 40.60000 |
13 | 6.29167 | 73 | 16.55990 | 133 | 23.90365 | 193 | 31.24740 | 253 | 37.65000 | 313 | 40.65000 |
14 | 6.58333 | 74 | 16.68229 | 134 | 24.02604 | 194 | 31.36979 | 254 | 37.70000 | 314 | 40.70000 |
15 | 6.87500 | 75 | 16.80469 | 135 | 24.14844 | 195 | 31.49219 | 255 | 37.75000 | 315 | 40.75000 |
16 | 7.16667 | 76 | 16.92708 | 136 | 24.27083 | 196 | 31.61458 | 256 | 37.80000 | 316 | 40.80000 |
17 | 7.45833 | 77 | 17.04948 | 137 | 24.39323 | 197 | 31.73698 | 257 | 37.85000 | 317 | 40.85000 |
18 | 7.75000 | 78 | 17.17188 | 138 | 24.51563 | 198 | 31.85938 | 258 | 37.90000 | 318 | 40.90000 |
19 | 8.04167 | 79 | 17.29427 | 139 | 24.63802 | 199 | 31.98177 | 259 | 37.95000 | 319 | 40.95000 |
20 | 8.33333 | 80 | 17.41667 | 140 | 24.76042 | 200 | 32.10417 | 260 | 38.00000 | 320 | 41.00000 |
21 | 8.62500 | 81 | 17.53906 | 141 | 24.88281 | 201 | 32.22656 | 261 | 38.05000 | 321 | 41.05000 |
22 | 8.91667 | 82 | 17.66146 | 142 | 25.00521 | 202 | 32.34896 | 262 | 38.10000 | 322 | 41.10000 |
23 | 9.20833 | 83 | 17.78385 | 143 | 25.12760 | 203 | 32.47135 | 263 | 38.15000 | 323 | 41.15000 |
24 | 9.50000 | 84 | 17.90625 | 144 | 25.25000 | 204 | 32.59375 | 264 | 38.20000 | 324 | 41.20000 |
25 | 9.66667 | 85 | 18.02865 | 145 | 25.37240 | 205 | 32.71615 | 265 | 38.25000 | 325 | 41.25000 |
26 | 9.83333 | 86 | 18.15104 | 146 | 25.49479 | 206 | 32.83854 | 266 | 38.30000 | 326 | 41.30000 |
27 | 10.00000 | 87 | 18.27344 | 147 | 25.61719 | 207 | 32.96094 | 267 | 38.35000 | 327 | 41.35000 |
28 | 10.16667 | 88 | 18.39583 | 148 | 25.73958 | 208 | 33.08333 | 268 | 38.40000 | 328 | 41.40000 |
29 | 10.33333 | 89 | 18.51823 | 149 | 25.86198 | 209 | 33.20573 | 269 | 38.45000 | 329 | 41.45000 |
30 | 10.50000 | 90 | 18.64063 | 150 | 25.98438 | 210 | 33.32813 | 270 | 38.50000 | 330 | 41.50000 |
31 | 10.66667 | 91 | 18.76302 | 151 | 26.10677 | 211 | 33.45052 | 271 | 38.55000 | 331 | 41.55000 |
32 | 10.83333 | 92 | 18.88542 | 152 | 26.22917 | 212 | 33.57292 | 272 | 38.60000 | 332 | 41.60000 |
33 | 11.00000 | 93 | 19.00781 | 153 | 26.35156 | 213 | 33.69531 | 273 | 38.65000 | 333 | 41.65000 |
34 | 11.16667 | 94 | 19.13021 | 154 | 26.47396 | 214 | 33.81771 | 274 | 38.70000 | 334 | 41.70000 |
35 | 11.33333 | 95 | 19.25260 | 155 | 26.59635 | 215 | 33.94010 | 275 | 38.75000 | 335 | 41.75000 |
36 | 11.50000 | 96 | 19.37500 | 156 | 26.71875 | 216 | 34.06250 | 276 | 38.80000 | 336 | 41.80000 |
37 | 11.66667 | 97 | 19.49740 | 157 | 26.84115 | 217 | 34.18490 | 277 | 38.85000 | 337 | 41.85000 |
38 | 11.83333 | 98 | 19.61979 | 158 | 26.96354 | 218 | 34.30729 | 278 | 38.90000 | 338 | 41.90000 |
39 | 12.00000 | 99 | 19.74219 | 159 | 27.08594 | 219 | 34.42969 | 279 | 38.95000 | 339 | 41.95000 |
40 | 12.16667 | 100 | 19.86458 | 160 | 27.20833 | 220 | 34.55208 | 280 | 39.00000 | 340 | 42.00000 |
41 | 12.33333 | 101 | 19.98698 | 161 | 27.33073 | 221 | 34.67448 | 281 | 39.05000 | 341 | 42.05000 |
42 | 12.50000 | 102 | 20.10938 | 162 | 27.45313 | 222 | 34.79688 | 282 | 39.10000 | 342 | 42.10000 |
43 | 12.66667 | 103 | 20.23177 | 163 | 27.57552 | 223 | 34.91927 | 283 | 39.15000 | 343 | 42.15000 |
44 | 12.83333 | 104 | 20.35417 | 164 | 27.69792 | 224 | 35.04167 | 284 | 39.20000 | 344 | 42.20000 |
45 | 13.00000 | 105 | 20.47656 | 165 | 27.82031 | 225 | 35.16406 | 285 | 39.25000 | 345 | 42.25000 |
46 | 13.16667 | 106 | 20.59896 | 166 | 27.94271 | 226 | 35.28646 | 286 | 39.30000 | 346 | 42.30000 |
47 | 13.33333 | 107 | 20.72135 | 167 | 28.06510 | 227 | 35.40885 | 287 | 39.35000 | 347 | 42.35000 |
48 | 13.50000 | 108 | 20.84375 | 168 | 28.18750 | 228 | 35.53125 | 288 | 39.40000 | 348 | 42.40000 |
49 | 13.62240 | 109 | 20.96615 | 169 | 28.30990 | 229 | 35.65365 | 289 | 39.45000 | 349 | 42.45000 |
50 | 13.74479 | 110 | 21.08854 | 170 | 28.43229 | 230 | 35.77604 | 290 | 39.50000 | 350 | 42.50000 |
51 | 13.86719 | 111 | 21.21094 | 171 | 28.55469 | 231 | 35.89844 | 291 | 39.55000 | 351 | 42.55000 |
52 | 13.98958 | 112 | 21.33333 | 172 | 28.67708 | 232 | 36.02083 | 292 | 39.60000 | 352 | 42.60000 |
53 | 14.11198 | 113 | 21.45573 | 173 | 28.79948 | 233 | 36.14323 | 293 | 39.65000 | 353 | 42.65000 |
54 | 14.23438 | 114 | 21.57813 | 174 | 28.92188 | 234 | 36.26563 | 294 | 39.70000 | 354 | 42.70000 |
55 | 14.35677 | 115 | 21.70052 | 175 | 29.04427 | 235 | 36.38802 | 295 | 39.75000 | 355 | 42.75000 |
56 | 14.47917 | 116 | 21.82292 | 176 | 29.16667 | 236 | 36.51042 | 296 | 39.80000 | 356 | 42.80000 |
57 | 14.60156 | 117 | 21.94531 | 177 | 29.28906 | 237 | 36.63281 | 297 | 39.85000 | 357 | 42.85000 |
58 | 14.72396 | 118 | 22.06771 | 178 | 29.41146 | 238 | 36.75521 | 298 | 39.90000 | 358 | 42.90000 |
59 | 14.84635 | 119 | 22.19010 | 179 | 29.53385 | 239 | 36.87760 | 299 | 39.95000 | 359 | 42.95000 |
60 | 14.96875 | 120 | 22.31250 | 180 | 29.65625 | 240 | 37.00000 | 300 | 40.00000 | 360 | 43.00000 |
Appendix 3: Example of Cashflow Payment Rules
(t starts from 1)
Appendix 4: A Model for Estimating Repayment Speeds for HECMs
It is possible to estimate the repayment speeds on reverse mortgages by combining the mortality rates and mobility rates provided by the US Life Tables (see Rai, 2009). The probability that a borrower will not die in the next 12 months, at any given age, can be represented by (1 – Mortality Rate [Annualized]). Similarly, the probability that a borrower does not move out in the next 12 months is equal to (1 – Mobility Rate [Annualized]).
Thus, the probability that the loan does not repay over the next 12 months is equal to:
Therefore, the repayment speeds on reverse mortgages can be calculated as:
Estimating repayments based on just mortality and mobility rates provides reasonable results, though the model will tend to overestimate repayment speeds as compared to the repayment speeds based on historical data, due to self-selection. Borrowers who are in good health are more likely to take out reverse mortgage loans despite high origination costs.
Glossary (see Ginnie Mae MBS Guide, 2011; NRMLA website)
- Reverse Mortgage
-
Reverse mortgage loans are FHA-insured loans designed specifically to permit senior citizens to convert the home equity of their principal residence into cash.
- HECM
-
Home Equity Conversion Mortgages program. HECM was launched in 1987 by the Department of Housing and Urban Development. This is a federal reverse mortgage program and was launched to provide an opportunity to senior citizens to take advantage of their built-up home equity. The loans are fully guaranteed by the US government.
- HMBS
-
Home Equity Conversion Mortgage Backed Security. It’s collateralized by HECM loans.
- H-REMIC
-
HECM Real Estate Mortgage Investment Conduit. Allows for inclusion of HMBS and forward Ginnie Mae MBS collateral within the same REMIC structure. First HREMIC Issuance: Anticipated January 2008.
- HUD
-
Department of Housing and Urban Development. Congress created the HECM program in 1989 and appointed the Department of Housing and Urban Development (HUD) as the administrator.
- MIP
-
Mortgage Insurance Premium. The borrower will be charged mortgage insurance premiums to reduce the risk of loss in the event that the outstanding balance, including accrued interest, MIP, and fees, exceeds the value of the property at the time that the mortgage is due and payable. HUD will select an agent to collect MIP.
- MCA
-
Maximum Claim Amount. The amount that FHA will insure for any HECM loan. FHA allows Issuers to assign a HECM loan that accrues to 98% of the MCA. Ginnie Mae requires any loan that has accrued to 98% of MCA to be purchased out of an HMBS pool whether or not an Issuer assigns the loan to FHA.
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Hong, C.H.T., Lee, G.H. (2013). Understanding Ginnie Mae Reverse Mortgage H-REMICs: Its Programs and Cashflow Analysis. In: Lee, CF., Lee, A. (eds) Encyclopedia of Finance. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-5360-4_59
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DOI: https://doi.org/10.1007/978-1-4614-5360-4_59
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Publisher Name: Springer, Boston, MA
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