In: Finance
Mustafa is saving to buy a house. His goal is $850000. The interest rate is 3% compounded quarterly, and his plan is to make deposits of $P at the end of every month for 5 years.
a) What is the effective monthly rate?
b) What is $P? After 1 years, the interest rate changes to 4%.
c) How much money has he saved so far?
d) If he keeps on making the same monthly deposit, how much money will he have saved after 5 years?
e) If he still wants to save exactly $850000 by the end of 5 years, what should his monthly deposit be?
(Don't forget to include the future value of the money from part c)!)
FV | $ 850,000.00 | |
Interest rate | 3% | |
a) | Interest rate Monthly | 0.24938% |
Period = 5*12= | 60 | |
b) | Payment per month | $13,150.86 |
Period = 1*12 = | 12.00 | |
c) | FV AFTER 1 YEARS | $159,992.86 |
Interest rate | 4% | |
Interest rate Monthly | 0.33223% | |
Period = 4*12= | 48 | |
d) | FV AFTER 5 YEARS | $870,735.85 |
e) | Monthly Deposit | $12,751.67 |
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