Answer:
A. 2.81%
B. $546.87
C.4.11%
Explanation:
A. Calculation for the rate of return
Rate of return= (1000/500)^(1/25)-1
Rate of return=2^(1/25)-1
Rate of return=1.0281-1
Rate of return= 0.0281*100
Rate of return= 2.81%
Therefore the Rate of return will be 2.81%
B. Calculation for How much would the bond be worth at that time
Bond value= (500*(1+0.009)^10)
Bond value= (500*(1.009%)^10)
Bond value=500*1.09373387
Bond value= $546.87
Note that 2012 to 2022 will give us 10 years.
Therefore Bond value will be $546.87
C. Calculation for what annual rate of return will you earn over the last 15 years
Return in last 15 years= (1000/546.87)^(1/15)-1
Return in last 15 years=1.828588^(1/15)-1
Return in last 15 years=1.0411-1
Return in last 15 years=0.0411*100
Return in last 15 years= 4.11%
Note that 2022 to 2037 will give us 15 years
Therefore the rate of return will be 4.11%
