(4) FIN302_Excel with answers_Loans and amortization table_Feb5 (3)

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Pennsylvania State University, World Campus *

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302

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Finance

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Feb 20, 2024

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xlsx

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Interest rate 5% Options Loan 1. No leverage $0.00 2. Small leverage $60.00 (buy a car; use your money $40 + $60 loan) 3. Large leverage $900.00 (buy 10 cars; use your money $100+ $900 loan) 1) No leverage Time Action Cash Flow Cash Flow Today (t=0) Taking out a loan $0 $0 =$B$3 Purchase a car -$100 -$100 =-$G$1 Net cash flow today -$100 -$100 =C9+C10 Repay the loan with interests $0 $0 =-C9*(1+$B$1) Sell the car 110 90 =G2 Net cash flow in one year $110 $90 =C12+C13 Profit as % of initial investment 10.0% -10.0% =(C14+C11)/-C11 2) Small leverage ($60 loan) Time Action Cash Flow Cash Flow Today (t=0) Taking out a loan $60 $60 =$B$4 Purchase a car -$100 -$100 =-$G$1 Net cash flow today -$40 -$40 =C19+C20 Repay the loan with interests -$63 -$63 =-C19*(1+$B$1) Sell the car 110 90 =G2 Net cash flow in one year $47 $27 =C23+C22 Profit as % of initial investment 17.5% -32.5% =(C24+C21)/-C21 3) Large leverage ($900) Time Action Cash Flow Cash Flow Today (t=0) Taking out a loan $900 $900 =$B$5 Purchase a car -$1,000 -$1,000 =-10*$G$1 Net cash flow today -$100 -$100 =C29+C30 Repay the loan with interests -$945 -$945 =-C29*(1+$B$1) Sell the car 1,100 900 =G2*10 Net cash flow in one year $155 -$45 =C32+C33 Profit as % of initial investment 55.0% -145.0% =(C34+C31)/-C31 One year from now (t=1) One year from now (t=1) One year from now (t=1)
Price (t=0) $100 Price (t=1) $110 $90 =$B$3 =-$G$1 =D9+D10 =-D9*(1+$B$1) =H2 =D12+D13 =(D14+D11)/-D11 =$B$4 =-$G$1 =D19+D20 =-D19*(1+$B$1) =H2 =D23+D22 =(D24+D21)/-D21 =$B$5 =-10*$G$1 =D29+D30 =-D29*(1+$B$1) =H2*10 =D32+D33 =(D34+D31)/-D31 -200.0% -150.0% -100.0% -50.0% 0.0% 50.0% 100.0% Impact of Leverage Price in year 1=$110 Price in year 1=$
$90
AMORTIZATION TABLE: MORTGAGE (EQUAL PAYMENTS) Loan amount $ 100,000 Interest rate (APR) 8% Term (in years) 10 Annual payment $14,902.95 =PMT(B3,B4,-B2,,0) Year 1 100,000.00 14,902.95 8,000.00 6,902.95 93,097.05 2 93,097.05 14,902.95 7,447.76 7,455.18 85,641.87 3 85,641.87 14,902.95 6,851.35 8,051.60 77,590.27 4 77,590.27 14,902.95 6,207.22 8,695.73 68,894.54 5 68,894.54 14,902.95 5,511.56 9,391.39 59,503.15 6 59,503.15 14,902.95 4,760.25 10,142.70 49,360.46 7 49,360.46 14,902.95 3,948.84 10,954.11 38,406.34 8 38,406.34 14,902.95 3,072.51 11,830.44 26,575.90 9 26,575.90 14,902.95 2,126.07 12,776.88 13,799.03 10 13,799.03 14,902.95 1,103.92 13,799.03 0.00 $77,590.27 =F10 $77,590.27 =PV(B3,10-3,-B5 $77,590.27 =NPV(B3,C11:C1 A. Loan balance at beginning of year B. Total payment C. Interest payment D. Principal repayment E. Loan principal balance at end of year ending balance at year 3=> A B C D E F 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
formulatext =B2 =$B$5 =B8*$B$3 =C8-D8 =B8-E8 =F8 =$B$5 =B9*$B$3 =C9-D9 =B9-E9 =F9 =$B$5 =B10*$B$3 =C10-D10 =B10-E10 =F10 =$B$5 =B11*$B$3 =C11-D11 =B11-E11 =F11 =$B$5 =B12*$B$3 =C12-D12 =B12-E12 =F12 =$B$5 =B13*$B$3 =C13-D13 =B13-E13 =F13 =$B$5 =B14*$B$3 =C14-D14 =B14-E14 =F14 =$B$5 =B15*$B$3 =C15-D15 =B15-E15 =F15 =$B$5 =B16*$B$3 =C16-D16 =B16-E16 =F16 =$B$5 =B17*$B$3 =C17-D17 =B17-E17 5,,0) 17) A. Loan balance at beginning of year B. Total payment C. Interest payment D. Principal repayment E. Loan principal balance at end of year 1 2 3 4 5 6 7 8 9 10 0.00 10,000.00 20,000.00 30,000.00 40,000.00 50,000.00 60,000.00 70,000.00 80,000.00 90,000.00 100,000.00 $100,000 10 year equal payment loan at 8% E. Loan principal balance at end of year B. Total payment C. Interest payment D. Principal repayment G H I J K L M N 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
Loan amount $ 100,000 8% 10 Year 1 $ 100,000.00 $8,000.00 $6,902.95 $14,902.95 $93,097.05 =B2 2 $93,097.05 $7,447.76 $7,455.18 $14,902.95 $85,641.87 =F7 3 $85,641.87 $6,851.35 $8,051.60 $14,902.95 $77,590.27 =F8 4 $77,590.27 $6,207.22 $8,695.73 $14,902.95 $68,894.54 =F9 5 $68,894.54 $5,511.56 $9,391.39 $14,902.95 $59,503.15 =F10 6 $59,503.15 $4,760.25 $10,142.70 $14,902.95 $49,360.46 =F11 7 $49,360.46 $3,948.84 $10,954.11 $14,902.95 $38,406.34 =F12 8 $38,406.34 $3,072.51 $11,830.44 $14,902.95 $26,575.90 =F13 9 $26,575.90 $2,126.07 $12,776.88 $14,902.95 $13,799.03 =F14 10 $13,799.03 $1,103.92 $13,799.03 $14,902.95 $ 0.00 =F15 MORTIZATION TABLE: MORTGAGE USING IPMT AND PPM Interest rate (APR) Loan period in years Loan balance at beginning of year Interest payment Principal repayment Total payments Loan principal balance at end of year Loan balance at beginning of year A B C D E F G 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
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