X obtained loan from a bank Rs 30,00,000 repayable in 15 annual instalments
Rate of interest 24% p.a. Compute the annual instalments
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Pls solve this problem relating to Financial Management
Replies (4)
Dear Sir,
Principal = 30 Lakhs
Rate of Interes =24%pa
Period = 15 annual installments (assuming first installment is due at the end of year 1)
| Year | Principal outstanding at begnning | Annual Installment | Interest Repaid | Principal Repaid |
| 1 | 30,00,000.00 | 7,49,757.00 | 7,20,000.00 | 29,757.00 |
| 2 | 29,70,243.00 | 7,49,757.00 | 7,12,858.32 | 36,898.68 |
| 3 | 29,33,344.32 | 7,49,757.00 | 7,04,002.64 | 45,754.36 |
| 4 | 28,87,589.96 | 7,49,757.00 | 6,93,021.59 | 56,735.41 |
| 5 | 28,30,854.55 | 7,49,757.00 | 6,79,405.09 | 70,351.91 |
| 6 | 27,60,502.64 | 7,49,757.00 | 6,62,520.63 | 87,236.37 |
| 7 | 26,73,266.27 | 7,49,757.00 | 6,41,583.90 | 1,08,173.10 |
| 8 | 25,65,093.18 | 7,49,757.00 | 6,15,622.36 | 1,34,134.64 |
| 9 | 24,30,958.54 | 7,49,757.00 | 5,83,430.05 | 1,66,326.95 |
| 10 | 22,64,631.59 | 7,49,757.00 | 5,43,511.58 | 2,06,245.42 |
| 11 | 20,58,386.17 | 7,49,757.00 | 4,94,012.68 | 2,55,744.32 |
| 12 | 18,02,641.85 | 7,49,757.00 | 4,32,634.04 | 3,17,122.96 |
| 13 | 14,85,518.89 | 7,49,757.00 | 3,56,524.53 | 3,93,232.47 |
| 14 | 10,92,286.43 | 7,49,757.00 | 2,62,148.74 | 4,87,608.26 |
| 15 | 6,04,678.17 | 7,49,757.00 | 1,45,078.83 | 6,04,678.17 |
| Total | 1,12,46,355.00 | 82,46,355.00 | 30,00,000.00 | |
If 1st installment is due at the beginning of year 1 then repayment schedule shall be as follows -
| Year | Principal outstanding at begnning | Annual Installment | Interest Repaid | Principal Repaid |
| 1 | 30,00,000.00 | 6,04,643.00 | 0 | 6,04,643.00 |
| 2 | 23,95,357.00 | 6,04,643.00 | 5,74,885.68 | 29,757.32 |
| 3 | 23,65,599.68 | 6,04,643.00 | 5,67,743.92 | 36,899.08 |
| 4 | 23,28,700.60 | 6,04,643.00 | 5,58,888.14 | 45,754.86 |
| 5 | 22,82,945.75 | 6,04,643.00 | 5,47,906.98 | 56,736.02 |
| 6 | 22,26,209.73 | 6,04,643.00 | 5,34,290.33 | 70,352.67 |
| 7 | 21,55,857.06 | 6,04,643.00 | 5,17,405.69 | 87,237.31 |
| 8 | 20,68,619.76 | 6,04,643.00 | 4,96,468.74 | 1,08,174.26 |
| 9 | 19,60,445.50 | 6,04,643.00 | 4,70,506.92 | 1,34,136.08 |
| 10 | 18,26,309.42 | 6,04,643.00 | 4,38,314.26 | 1,66,328.74 |
| 11 | 16,59,980.68 | 6,04,643.00 | 3,98,395.36 | 2,06,247.64 |
| 12 | 14,53,733.04 | 6,04,643.00 | 3,48,895.93 | 2,55,747.07 |
| 13 | 11,97,985.97 | 6,04,643.00 | 2,87,516.63 | 3,17,126.37 |
| 14 | 8,80,859.60 | 6,04,643.00 | 2,11,406.31 | 3,93,236.69 |
| 15 | 4,87,622.91 | 6,04,643.00 | 1,17,020.09 | 4,87,622.91 |
| Total | 90,69,645.00 | 60,69,645.00 | 30,00,000.00 | |
Thanks for solving, but
Can u pls tell me which formula to apply to get this answer.
Because I know there is one formula for it either A(n,i) or P(n,i) or something like it
but i don't know how to use that formula?
Hi Murali.....
(a) when installment is due in the begining of the year
installment amount= 3000000/(1+present value factor for 14 years @ 24%)
= 3000000/(1+3.962)
=Rs. 604594.92
(b) when installmnt is due at the end of the year
installment amount= 3000000/(present value factor for 15 years @ 24%)
= 3000000/4.001
=Rs.749812.55
hope that above explanantion is useful to u.
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