Answer:
$5,890,521.80
Explanation:
initial payment: 700000
quarter 1: 180000
quarter 2: 184140
quarter 3: 188375
quarter 4: 192708
quarter 5: 197140
quarter 6: 201674
quarter 7: 206313
quarter 8: 211058
quarter 9: 215912
quarter 10: 220878
quarter 11: 225959
quarter 12: 231156
quarter 13: 236472
quarter 14: 241911
quarter 15: 247475
quarter 16: 253167
quarter 17: 258990
quarter 18: 264947
quarter 19: 271040
quarter 20: 277274
quarter 21: 283652
quarter 22: 290176
quarter 23: 296850
quarter 24: 303677
quarter 25: 310662
quarter 26: 317807
quarter 27: 325116
quarter 28: 332594
quarter 29: 340244
quarter 30: 348069
now we must determine the quarterly interest rate:
1.10 = (1 + i)⁴
⁴ √1.10 = ⁴ √(1 + i)⁴
1.024113689 = 1 + i
i = 0.024113689 = 2.4113689% ≈ 2.4114%
Now we need to determine the present value of this annuity and our discount rate is 2.4114%. I will use an excel spreadsheet to determine the present value of the 30 quarterly payments and then add the initial payment.
$5,190,521.80 + $700,000 = $5,890,521.80