Question

In: Finance

Ralph has just borrowed $1420 to purchase a new stereo, at a nominal rate of interest...

Ralph has just borrowed $1420 to purchase a new stereo, at a nominal rate of interest of 11.4% convertible monthly. Although he is charged interest from the moment he borrows the money, the first payment is not due for 11 months. If he will make 24 monthly payments, how much interest is in the 17th payment?

Answer = $

Solutions

Expert Solution

Amount                1,420
Interest 11.40%
Interest Per Month 0.95%
Month Opening Interest Principal Installment Closing
1                      1,420                       -                 -                      -       1,420
2                      1,420                       -                 -                      -       1,420
3                      1,420                       -                 -                      -       1,420
4                      1,420                       -                 -                      -       1,420
5                      1,420                       -                 -                      -       1,420
6                      1,420                       -                 -                      -       1,420
7                      1,420                       -                 -                      -       1,420
8                      1,420                       -                 -                      -       1,420
9                      1,420                       -                 -                      -       1,420
10                      1,420                       -                 -                      -       1,420
11                      1,420                       -                 -                      -       1,420
12                      1,420                    162            -89             73.33     1,509
13                      1,509                      14              59             73.33     1,450
14                      1,450                      14              60             73.33     1,390
15                      1,390                      13              60             73.33     1,330
16                      1,330                      13              61             73.33     1,269
17                      1,269                      12              61             73.33     1,208
18                      1,208                      11              62             73.33     1,146
19                      1,146                      11              62             73.33     1,084
20                      1,084                      10              63             73.33     1,021
21                      1,021                      10              64             73.33        957
22                          957                         9              64             73.33        893
23                          893                         8              65             73.33        828
24                          828                         8              65             73.33        762
25                          762                         7              66             73.33        696
26                          696                         7              67             73.33        630
27                          630                         6              67             73.33        562
28                          562                         5              68             73.33        494
29                          494                         5              69             73.33        426
30                          426                         4              69             73.33        356
31                          356                         3              70             73.33        286
32                          286                         3              71             73.33        216
33                          216                         2              71             73.33        144
34                          144                         1              72             73.33           73
35                            73                         1              73             73.33           -0
Note: Interest payment at the 17th month is USD 5.34

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