In: Finance
Solve only a) part
Please note - Different question.J&J Cattle has purchased a quarter section of land for $160,000. They make a down payment of $20,000, and the remainder of the purchase price ($140,000) is financed at 11% percent compounded quarterly with quarterly payments over 2 years. Develop an Excel® table to illustrate the payment amounts and schedule for the loan
a) For each of the five payment schedules, determine the present worth of the loan payments made by the borrower. Use an Excel® spreadsheet and program it such that you can enter different interest rates for the borrower's TVOM. Use TVOM rates of 8 percent, 11 percent, and 14 percent compounded quarterly. (Show your analysis and justification by drawing a graph)
Financed Amount | $ 1,40,000.00 | ||||||||||
Rate of Interest | 11% | ||||||||||
Loan Amortization Schedule | TVOM Calculation | ||||||||||
Period | Opening balance | Interest | Principal Repayment | Total payment per quarter | Closing balance | DCF@8% | PV | DCF@11% | PV | DCF@14% | PV |
Q1 | 140000.00 | 3850.00 | 17500 | 21350.00 | 122500.00 | 0.980392 | 20931.37 | 0.973236 | 20778.59 | 0.966184 | 20628.02 |
Q2 | 122500.00 | 3368.75 | 17500 | 20868.75 | 105000.00 | 0.961169 | 20058.39 | 0.947188 | 19766.64 | 0.933511 | 19481.2 |
Q3 | 105000.00 | 2887.50 | 17500 | 20387.50 | 87500.00 | 0.942322 | 19211.6 | 0.921838 | 18793.97 | 0.901943 | 18388.36 |
Q4 | 87500.00 | 2406.25 | 17500 | 19906.25 | 70000.00 | 0.923845 | 18390.3 | 0.897166 | 17859.21 | 0.871442 | 17347.15 |
Q5 | 70000.00 | 1925.00 | 17500 | 19425.00 | 52500.00 | 0.905731 | 17593.82 | 0.873154 | 16961.02 | 0.841973 | 16355.33 |
Q6 | 52500.00 | 1443.75 | 17500 | 18943.75 | 35000.00 | 0.887971 | 16821.51 | 0.849785 | 16098.11 | 0.813501 | 15410.75 |
Q7 | 35000.00 | 962.50 | 17500 | 18462.50 | 17500.00 | 0.87056 | 16072.72 | 0.827041 | 15269.25 | 0.785991 | 14511.36 |
Q8 | 17500.00 | 481.25 | 17500 | 17981.25 | 0.00 | 0.85349 | 15346.82 | 0.804906 | 14473.22 | 0.759412 | 13655.17 |
Notes: | |||||
1) 8% is annual discounting rate which is taken as 2% per quarter. Similarly, 2.75% per quarter for 11% discounting rate and 3.5% per quarter for 14% discounting rate. | |||||
2) It is assumed that quarterly payment are made at the end of quarter. |