In: Finance
a. Suppose you deposited $2,000 in a savings account earning 3.6% interest compounding daily. How long will it take for the balance to grow to $8,000? Answer in years rounded to two decimal places. (e.g., 2.4315 years --> 2.43)
b.You plan to deposit $2,000 today, $4,000 in one year and $2,000 in two years into an account earning 5.1% interest. What will the account balance be in 4 years? Round to the nearest cent.
ans a) | we have to use financial calculator to solve this | ||||
Put in calculator | |||||
FV | 8,000 | ||||
PV | -2,000 | ||||
PMT | 0 | ||||
I | 3.6%/365 | 0.00986% | |||
compute N | 14,056 | Days | |||
Number of year = | 38.51 | Year | |||
14056/365 | |||||
Answer = | 38.51 | Year | |||
ans b) | |||||
Computation of future value | |||||
Year | Present value | future value at 4th year | Formula | ||
0 | 2,000 | $ 2,440.29 | 2000*(1+5.1%)^4 | ||
1 | 4,000 | $ 4,643.74 | 4000*(1+5.1%)^3 | ||
2 | 2000 | $ 2,209.20 | 2000*(1+5.1%)^2 | ||
Total | $ 9,293.23 | ||||
Answer = | $ 9,293.23 |