Question

In: Finance

End of year two, sami withdrew 3200 dollars, and he deposited 2100 dollars end of year three. compute the last two payments.

sami is planning on buying a car after five years. the current price of the car is 50,000 dollars and inflation rate is 3 percent. sami currently has 11,000 dollars in a bank account that pays an annual interest rate of 8 percent, compounded semi-annually. he wants to save for the balance by making semi annual payments in the account, at the end of each period. 1.compute the amount of the payments

End of year two, sami withdrew 3200 dollars, and he deposited 2100 dollars end of year three. compute the last two payments.

Solutions

Expert Solution

1)$2801.265

Current Value of Car 50000.00
Inflation 3%
Money In Hand 11000
Bank Interest 8% 4.00%
Year 0 1 2 3 4 5 6
Car Value 50000.00 51500.00 53045.00 54636.35 56275.44 57963.70 59702.61
Periods 0 1 2 3 4 5 6 7 8 9 10 11 12
CF 11000.00 14241.27 17612.18 21117.93 24763.92 28555.74 32499.23 36600.47 40865.75 45301.64 49914.97 54712.84 59702.62
Interest Earned 0.00 440 569.65 704.49 844.72 990.56 1142.23 1299.97 1464.02 1634.63 1812.07 1996.60 2188.51
Semiannual Payments 0 2801.265 2801.265 2801.265 2801.265 2801.265 2801.265 2801.265 2801.265 2801.265 2801.265 2801.265 2801.265
Annual Payments 2801.265

2) $2915.88

0 1 2 3 4 5 6 7 8 9 10 11 12
CF 11000.00 14355.89 17846.01 21475.73 22050.64 25848.56 31898.38 36090.20 40449.70 44983.57 49698.80 54602.63 59702.62
Interest Earned 0.00 440 574.24 713.84 859.03 882.03 1033.94 1275.94 1443.61 1617.99 1799.34 1987.95 2184.11
Semiannual Payments 0 2915.885 2915.885 2915.885 2915.885 2915.885 2915.885 2915.885 2915.885 2915.885 2915.885 2915.885 2915.885
Annual Payments 2915.885

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