Question

In: Finance

a. Suppose you deposited $2,000 in a savings account earning 3.6% interest compounding daily. How long...

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.

Solutions

Expert Solution

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

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