HP 12C#ABA hp 12c_solutions handbook_English_E.pdf - Page 4

Wrap-Around Mortgage - irr calculation

Page 4 highlights

9.5 200000 1,979.56 Monthly payment on new mortgage. 0 899.23 Net monthly payment (to lender). 133190 11.5 0 -66,810.00 Net amount of cash advanced (by lender). 0 -80,425.02 Present value of net -13,615.02 NPV to lender of net cash advanced 0 12 15.25 0 14.83 % nominal yield (IRR). -65,376.72 1,433.28 Present value of net monthly payment at 15.25%. NPV to borrower. Wrap-Around Mortgage A wrap-around mortgage is essentially the same as a refinancing mortgage, except that the new mortgage is granted by a different lender, who assumes the payments on the existing mortgage, which remains in full force. The new (second) mortgage is thus "wrapped around" the existing mortgage. The "wrap-around" lender advances the net difference between the new (second) mortgage and the existing mortgage in cash to the borrower, and receives as net cash flow, the difference between debt service on the new (second) mortgage and debt service on the existing mortgage. When the terms of the original mortgage and the wrap-around are the same, the procedures in calculating NPV and IRR to the lender and NPV to the borrower are exactly the same as those presented in the preceding section on refinancing. Example 1: A mortgage loan on an income property has a remaining balance of $200,132.06. When the load originated 8 years ago, it had a 20year term with full amortization in level monthly payments at 6.75% interest. A lender has agreed to "wrap" a $300,000 second mortgage at 10%, with full amortization in level monthly payments over 12 years. What is the effective yield (IRR) to the lender on the net cash advanced? Keystrokes Display 144.00 Total number of months remaining in original load (into n). 3

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10
  • 11
  • 12
  • 13
  • 14
  • 15
  • 16
  • 17
  • 18
  • 19
  • 20
  • 21
  • 22
  • 23
  • 24
  • 25
  • 26
  • 27
  • 28
  • 29
  • 30
  • 31
  • 32
  • 33
  • 34
  • 35
  • 36
  • 37
  • 38
  • 39
  • 40
  • 41
  • 42
  • 43
  • 44
  • 45
  • 46
  • 47
  • 48
  • 49
  • 50
  • 51
  • 52
  • 53
  • 54
  • 55
  • 56
  • 57
  • 58
  • 59
  • 60
  • 61
  • 62
  • 63
  • 64
  • 65
  • 66
  • 67
  • 68
  • 69
  • 70
  • 71
  • 72
  • 73
  • 74
  • 75
  • 76
  • 77
  • 78
  • 79
  • 80
  • 81
  • 82
  • 83
  • 84
  • 85
  • 86
  • 87
  • 88
  • 89
  • 90
  • 91
  • 92
  • 93
  • 94
  • 95
  • 96
  • 97
  • 98
  • 99
  • 100
  • 101
  • 102
  • 103
  • 104
  • 105
  • 106
  • 107
  • 108
  • 109
  • 110
  • 111
  • 112
  • 113
  • 114
  • 115
  • 116
  • 117
  • 118
  • 119
  • 120
  • 121
  • 122
  • 123
  • 124
  • 125
  • 126
  • 127
  • 128
  • 129
  • 130
  • 131
  • 132
  • 133
  • 134
  • 135
  • 136
  • 137
  • 138
  • 139
  • 140
  • 141
  • 142
  • 143
  • 144
  • 145
  • 146
  • 147
  • 148
  • 149
  • 150
  • 151
  • 152
  • 153
  • 154
  • 155
  • 156
  • 157
  • 158
  • 159
  • 160
  • 161
  • 162
  • 163
  • 164
  • 165

3
Wrap-Around Mortgage
A wrap-around mortgage is essentially the same as a refinancing mortgage,
except that the new mortgage is granted by a different lender, who assumes
the payments on the existing mortgage, which remains in full force. The new
(second) mortgage is thus “wrapped around” the existing mortgage. The
"wrap-around" lender advances the net difference between the new
(second) mortgage and the existing mortgage in cash to the borrower, and
receives as net cash flow, the difference between debt service on the new
(second) mortgage and debt service on the existing mortgage.
When the terms of the original mortgage and the wrap-around are the
same, the procedures in calculating
NPV
and
IRR
to the lender and
NPV
to the borrower are exactly the same as those presented in the preceding
section on refinancing.
Example 1:
A mortgage loan on an income property has a remaining
balance of $200,132.06. When the load originated 8 years ago, it had a 20-
year term with full amortization in level monthly payments at 6.75% interest.
A lender has agreed to “wrap” a $300,000 second mortgage at 10%, with
full amortization in level monthly payments over 12 years. What is the
effective yield (
IRR
) to the lender on the net cash advanced?
9.5
200000
1,979.56
Monthly payment on new mortgage.
0
899.23
Net monthly payment (to lender).
133190
0
-66,810.00
Net amount of cash advanced (by
lender).
11.5
-80,425.02
Present value of net
0
-13,615.02
NPV
to lender of net cash advanced
0
12
14.83
% nominal yield (
IRR
).
15.25
-65,376.72
Present value of net monthly
payment at 15.25%.
0
1,433.28
NPV
to borrower.
Keystrokes
Display
144.00
Total number of months remaining in
original load (into n).