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In: Finance

Solve only a) part Please note - Different question.J&J Cattle has purchased a quarter section of...

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)

Solutions

Expert Solution

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.


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