In: Finance
Question #1 Create a spreadsheet file to calculate the future value of an investment account which: a) starts out with $24,350 b) receives payments of $1,500 per year for the first 10 years, and then $2,400 per year for the next 15 years, but no payments at all for the last 5 years c) earns 8.75% interest.
Question #2 What is the total future value of this account at the end of the 30 years?
Question #3 How much interest does the account earn in year 14?
Question #4 What is the total amount of interest earned over the course of the 30 years?
Since you need an excel file, I will create a dynamic file and then share a snap shot how formulae and linked cells to show how it was created.
Interest rate | 8.75% |
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 |
Cash flows | 24,350 | 1,500 | 1,500 | 1,500 | 1,500 | 1,500 | 1,500 | 1,500 | 1,500 | 1,500 | 1,500 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | 2,400 | - | - | - | - | - |
FV of each year's cash flows | 301,562.22 | 17,082.05 | $15,707.63 | 14,443.80 | 13,281.65 | 12,213.02 | 11,230.36 | 10,326.77 | 9,495.88 | 8,731.84 | 8,029.28 | 11,813.19 | 10,862.71 | 9,988.70 | 9,185.01 | 8,445.98 | 7,766.42 | 7,141.54 | 6,566.93 | 6,038.56 | 5,552.70 | 5,105.93 | 4,695.11 | 4,317.34 | 3,969.97 | 3,650.54 | - | - | - | - | - |
Another formula | 301,562.22 | 17,082.05 | 15,707.63 | 14,443.80 | 13,281.65 | 12,213.02 | 11,230.36 | 10,326.77 | 9,495.88 | 8,731.84 | 8,029.28 | 11,813.19 | 10,862.71 | 9,988.70 | 9,185.01 | 8,445.98 | 7,766.42 | 7,141.54 | 6,566.93 | 6,038.56 | 5,552.70 | 5,105.93 | 4,695.11 | 4,317.34 | 3,969.97 | 3,650.54 | - | - | - | - | - |
Total FV after 30 years | 527,205.10 | ||||||||||||||||||||||||||||||
Total value of principal till year 13 end | 46,550 | ||||||||||||||||||||||||||||||
Interest over this principal in 14th year | 4,073.13 | ||||||||||||||||||||||||||||||
Total value of principal in 30 years | 75,350 | ||||||||||||||||||||||||||||||
Total interest earned | 451,855.10 |