Question

Mortgage Analysis Part I You are planning to purchase a house that costs $480,000. You plan...

Mortgage Analysis

Part I

You are planning to purchase a house that costs $480,000. You plan to put 20% down and borrow the remainder. Based on your credit score, you believe that you will pay 3.99% on a 30-year mortgage.

  1. Use the function “PMT” to calculate your mortgage payment.
  2. Calculate the total cost of the home purchase. (Down payment plus principal (loan amount) plus interest.)
  3. Calculate how much interest you will pay in total?
  4. Assume that you plan to pay an extra $300 per month on top of your mortgage payment, calculate how long it will take you to pay off the loan given the higher payment. (Use interest rate of 3.99%). Calculate how much interest you will pay in total? Compare this to the value that you calculated for #3.

Part II

You want to determine whether or not you should save some of your money and put only 10% down on your house. Because you are only putting 10% down, lenders require that you purchase private mortgage insurance (PMI). Assume that PMI is 1% of the mortgage amount. (How does PMI work? For example, on a $100,000 loan, 1%, PMI means you are paying and additional $1,000 a year or $83.33 a month)

  1. Calculate your total monthly payment (mortgage payment plus PMI).
  2. Calculate the total cost of the home purchase. (Down payment plus principle (loan amount) plus interest.)
  3. Calculate how much interest and PMI you will pay in total?
  4. What are the advantage and disadvantages between 20% down payment vs. 10% down payment and PMI? Which one do you pick? Please explain. (For this question, include a Memo that summarizes your analysis and outcomes in Excel.)

Below I will post the template how you suppose to do.

Part I

Inputs

House Cost

Down Payment

Loan Amount

Interest rate Annual

Interest rate Monthly

Loan Terms (Annual)

Loan Terms (Monthly)

1) Mortgage Payment

2) Total Cost

3) Interest Paid

4) $300 extra payments

New payment

N (months)

N (years)

Total Cost ($300 additional)

Interest Paid ($300 additional)

Interest Saved

Part II

Inputs

House Cost

Down Payment

Loan Amount

Interest rate Annual

PMI

Interest rate Monthly

Loan Terms (Annual)

Loan Terms (Monthly)

5) Mortgage Payment

PMI Payment

Total Payment

6) Total Cost

7) Interest and PMI paid

8) Memo:

Advantages and disadvantages of 20% down payment vs. 10% down payment + PMI payment. Which one do you pick? Please summarize.

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Answer #1

(I)

(1) Mortgage payment = $1831.06

(2) Total cost = $755182

(3) Interest paid = $275182

(4) 300 extra payment

  • New payment = $2131.06
  • N(months) = 276
  • N(years) = 276/12 = 23
  • Total cost = $682864
  • Interest paid = $202864
  • Interest saved = $72318

House cost 480000 Down payment 96000 Mortgage payment monthly 1831.1 384000 3.99% Total cost of home purchase 755182 0.33250%

Loan schedule with higher repayment Total cost with higher repayment 682864 Year Loan outstanding at the beginnig Interest In

| 15 15 17 18 19 20 21 22 23 24 25 26 | 27 28 | 29 30 31 371778.3897 370223.4913 369925.5173 365024.7573 368120.903 367274.0-

2 34642 1922 345563.3333 34458132 343595 9912 322607.3853 341615.4942 340620.30A1 339621.805 338619.9859 337614,8357 336606.3

880万カルアル3 320006.756 318939.7168 317869.1297 316794.983 315717.2647 314635.963 313551.0659 312462.5616 311370.438 310274.6831

106 107 108 109 110 111 112 113 288749.0291 287578.1182 2864032538 225224.231 224041.7-28 282255.1702 281664.602 260470.0752

124 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 254146.8632 253161.237- 2518725322 250572.9535 249281.06

151 152 153 159 155 156 157 158 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 218209.0485 21680

179 180 181 182 13 184 185 186 187 188 19 190 191 192 193 194 195 196 | 197 198 | 199 200 201 202 203 204 205 177036.0819 175

206 _ 207 203 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 | 133539.8273 | 44.0199278 2131.061

245 246 247 248 249 250 251 252 253 254 25965.13725 24119.21032 822685474 20411.0227 72547376 766744202 742013322 72918.98572

261 262 263 264 33929.59623 3191135052 29866.39415 27854.70479 25816.26006 23771.03751 21719.01459 19660.1687 17594.47714 155

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