Question

Can someone break this down into small steps to follow the math. I have looked at...

Can someone break this down into small steps to follow the math. I have looked at other examples and am still having trouble following the math

You have successfully started and operated a company for the past 10 years. You have decided that it is time to sell your company and spend time on the beaches of Hawaii. A potential buyer is interested in your company, but he does not have the necessary capital to pay you a lump sum. Instead, he has offered $700,000 today and annuity payments for the balance. The first payment will be for $240,000 in three months. The payments will increase at 1.7 percent per quarter and a total of 30 quarterly payments will be made. If you require an EAR of 10 percent, how much are you being offered for your company?

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Answer #1
No of Quarterly Payments Annuity Amount Disc. Factor@ 9.645% Present Value of Annuity Amount
1 240000.00 0.9940611 238574.67
2 244080.00 0.9881575 241189.48
3 248229.36 0.9822889 243832.95
4 252449.26 0.9764552 246505.4
5 256740.90 0.9706562 249207.13
6 261105.49 0.9648915 251938.48
7 265544.29 0.9591612 254699.76
8 270058.54 0.9534648 257491.31
9 274649.53 0.9478023 260313.45
10 279318.58 0.9421734 263166.53
11 284066.99 0.9365779 266050.87
12 288896.13 0.9310157 268966.83
13 293807.36 0.9254865 271914.75
14 298802.09 0.9199901 274894.97
15 303881.72 0.9145264 277907.86
16 309047.71 0.9090951 280953.77
17 314301.53 0.9036961 284033.07
18 319644.65 0.8983292 287146.11
19 325078.61 0.8929941 290293.28
20 330604.95 0.8876907 293474.93
21 336225.23 0.8824188 296691.46
22 341941.06 0.8771782 299943.24
23 347754.06 0.8719687 303230.67
24 353665.88 0.8667902 306554.12
25 359678.20 0.8616424 309914
26 365792.73 0.8565252 313310.7
27 372011.20 0.8514384 316744.63
28 378335.39 0.8463818 320216.2
29 384767.09 0.8413553 323725.82
30 391308.13 0.8363585 327273.9
Total 8420160.4
Annuity Amount = Last Annuity Amount*101.7%
Discount rate =(((1+EAR)^(1/4))*4)-4 9.65%

Therefore the company is being offered $8420160.4

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