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You consider buying a car for a price of $34,000. The car is to be bought on credit with an annual interest rate of 4.25%. Th

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Answer #1
a Nominal monthly interest rate=(4.25/12)% 0.3542%
b Amount owed at the time of making the first payment= $35,473.62 (34000*((1+0.003542)^12)
c Constant Dollar amount payment:
Rate Nominal monthly interest rate= 0.3542%
Nper Number of months of payment12-60 49
Pv Amount owed at the time of making the first payment $35,473.62
Type Payment at beginning of month 1
PMT Amount of payment every month 12-60 $787.08 (Using PMT function of excelwith Rate=0.3542%,Nper=49, Pv=-35473.62, Type=1)
ExcelCommand: PMT(0.3542%,49,-35473.62,,1)
TOTAL PAYMENT =787.08*49= $38,567.01
A B C=A*0.003542 D=B-C E=A-D
Month Beginning Loan Balance Totalpayment Interest Principal Ending Loan balance
0 $0 $34,000
1 $34,000.00 $0 $120.43 ($120.43) $34,120.43
2 $34,120.43 $0 $120.85 ($120.85) $34,241.28
3 $34,241 $0 $121.28 ($121.28) $34,362.57
4 $34,363 $0 $121.71 ($121.71) $34,484.28
5 $34,484 $0 $122.14 ($122.14) $34,606.42
6 $34,606 $0 $122.58 ($122.58) $34,729.00
7 $34,729 $0 $123.01 ($123.01) $34,852.01
8 $34,852 $0 $123.45 ($123.45) $34,975.45
9 $34,975 $0 $123.88 ($123.88) $35,099.34
10 $35,099 $0 $124.32 ($124.32) $35,223.66
11 $35,224 $0 $124.76 ($124.76) $35,348.42
12 $35,348.42 $787.08 $125.20 $661.88 $34,686.54 C-A*0.003542 D-B-C E-A-D Ending Beginning Totalpaynm Loan Loan Month Balance ent Principal balance $34,000 Interest 120.43 ($18 $31,341.82 $787.08 19 $30,665.75 $787.08 111.01 $676.07 $30,665.75 108.62 $678.46 $29,987.29 106.21 $680.87 $29,306.42 10340 $15,901.85 $787.08 $56.32 $730.76 $15,171.10 $53.74 $733.35 $14,437.75 $51.14 $735.94 $13,701.81 41 $15,171.10 $787.08 42
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