In: Finance
how much will you have in your account earning 6% p.y.c.d if you deposit $1,200 | |||||||
at the end of the first quarter and keep increasing the amount by 1% every quarter | |||||||
over a five-year period? |
A/c balance after 5 years | P×[(1+r)^n-(1+g)^n]÷(r-g) | |
Here, | ||
1 | Interest rate per annum | 6.00% |
2 | Number of years | 5 |
3 | Number of compoundings per per annum | 4 |
4 = 1÷3 | Interest rate per period ( r) | 1.50% |
5 = 2×3 | Number of periods (n) | 20 |
Growth rate (g) | 1.00% | |
First payment (P) | $ 1,200 | |
A/c balance after 5 years | $ 30,399.59 | |
1200×((1+1.5%)^20-(1+1%)^20)÷(1.5%-1%) |