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Mustafa is saving to buy a house. His goal is $850000. The interest rate is 3%...

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)!)

Solutions

Expert Solution

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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