Janet wanted to buy a car so she borrowed a $10,000 from HSBC Bank at a 10% annual rate of interest to be repaid quarterly over 2 years. The loan is amortized into eight equal quarterly payments. a. Calculate the quarterly loan payment (A). b. Prepare the loan amortization schedule.
Given that - | ||||||||
Borrowed amount = | 10,000 | |||||||
Interest rate = | 10% | compounded quarterly | ||||||
Number of quarter = | 8 | |||||||
Ans a) | ||||||||
Computation of quarterly loan payment | ||||||||
we have to use financial calculator to solve this | ||||||||
put in calculator | ||||||||
FV | 0 | |||||||
PV | -10,000 | |||||||
I | 10%/4 | 2.50% | ||||||
N | 8 | |||||||
compute PMT | $1,394.67 | |||||||
Ans = | $1,394.67 | |||||||
Ans b) | Amortization table | |||||||
i | ii=i*2.5% | iii | iv=i+ii-iii | |||||
Period | Beginning balance | Interest | Installment | Closing Balance | ||||
0 | 10,000 | |||||||
1 | 10,000.00 | 250.00 | $1,394.67 | $8,855.33 | ||||
2 | $8,855.33 | 221.38 | $1,394.67 | $7,682.04 | ||||
3 | $7,682.04 | 192.05 | $1,394.67 | $6,479.41 | ||||
4 | $6,479.41 | 161.99 | $1,394.67 | $5,246.73 | ||||
5 | $5,246.73 | 131.17 | $1,394.67 | $3,983.22 | ||||
6 | $3,983.22 | 99.58 | $1,394.67 | $2,688.13 | ||||
7 | $2,688.13 | 67.20 | $1,394.67 | $1,360.66 | ||||
8 | $1,360.66 | 34.02 | $1,394.67 | $0.00 |
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