In: Finance
3) On July 15th, 2013, $800 was invested in an account paying 10% compounded semiannually. Then on July 15, 2017 the money was reinvested in an account paying 8% compounded daily. Determine the balance on October 20, 2017 using the Banker's Rule.
Step-1:Calculation of investment value on July 15, 2017 | ||||||||||||
Future value | = | P*(1+i)^n | Where, | |||||||||
= | 800*(1+0.05)^8 | P | Amount at the beginning of period | = | $ 800 | |||||||
= | $ 1,181.96 | i | Discount rate | = | 10%/2 | = | 0.05 | |||||
n | Number of period | = | 4*2 | = | 8 | |||||||
Step-2:Calculation of investment value on October 20, 2017 | ||||||||||||
Future value | = | P*(1+i)^n | Where, | |||||||||
= | $ 1,207.36 | P | Amount at the beginning of period | = | $ 1,182 | |||||||
i | Discount rate | = | 8%/365 | = | 0.0002192 | |||||||
n | Number of period | = | 4*2 | = | 97 | (16+31+30+20) | ||||||