Monday, December 24, 2018

Continuous Compounding - How much additional interest can the bank earn if it compounds interest continuously rather than annually?


Chapter 4 Q10
A bank is loaning $5,000 for 3 years at an interest rate of 7.5 percent. 
How much additional interest can the bank earn if it compounds interest continuously rather than annually?
PV 5000
n 3
i 0.075
Continuous Compounding FV = P * e^(rt)
Annual Interest $6,211.48 =FV(D7,D6,,-D5)
Continuous $6,261.61 =D5*EXP(D7*D6)
Difference $50.13 =E11-E10

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