Explanation:
I = Prt
I = (10000)(.11)(4) = $4400
Total Cost = Down Payment + Principal Borrowed + Interest
Total Cost = 2000 + 8000 + 4400
= $14,400
Monthly Payment = (Principal Borrowed + Total interest) / Total number of payments
Monthly Payment = (10,000 + 4400) / 48
= $300
APR= (2 × n × I) / [P × (N + 1)]
APR = (2 × 12 × 4400) / [10,000 × (48+1)]
= 21.55%
Answer:
2.96% will be effective rate of the investment
Explanation:
First year:
1,000 x 1 + 10%) = 1,100
<em><u>Second year: </u></em>
1,100 + 3,000 = 4,100 invesmtent balance
4,100 x (1 - 5%) = 3,895
<em><u>Third year:</u></em>
3,895 + 2,000 = 5,895
5,895 x (1 + 2%) = 6012.9
<em><u>Fourth year:</u></em>
6012.9 + 500 = 6512.9
6,512.9 x (1+ 8%) = 7033.932
We calcualte rate that is equivalent with the following cash flow:
![1,000 (1+r)^4 + 3,000 (1+r)^3 + 2,000(1+r)^2 + 500(1+r) = 7,033.93](https://tex.z-dn.net/?f=1%2C000%20%281%2Br%29%5E4%20%2B%203%2C000%20%20%281%2Br%29%5E3%20%2B%20%202%2C000%281%2Br%29%5E2%20%2B%20%20500%281%2Br%29%20%3D%207%2C033.93)
We solve using excel goal seek
0.029646151
Answer:
rate = 6.54%
Explanation:
we need to find the rate at which a capital of 300,000 becomes 1,000,000 in a period of time of 19 years.
<u>So we build the following equation:</u>
![300,000 (1+r)^{19} =1,000,000](https://tex.z-dn.net/?f=300%2C000%20%281%2Br%29%5E%7B19%7D%20%3D1%2C000%2C000)
![(1+r)^{19} =1,000,000 \div 300,000](https://tex.z-dn.net/?f=%281%2Br%29%5E%7B19%7D%20%3D1%2C000%2C000%20%5Cdiv%20300%2C000%20)
![r=\sqrt[19]{1,000,000 \div 300,000}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B19%5D%7B1%2C000%2C000%20%5Cdiv%20300%2C000%7D-1)
rate = 0.065417765 = 6.54% after rounding
This will be the rate my parent will require to generate 1,000,000 in 19 years with their current savings of 300,000.