.In 2027, instead of cashing in the bond for its then current value, you decide to hold the bond until it doubles in face value in 2037. What annual rate of return will you earn over the last 10 years

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If you purchased a $50 face value bond in early 2017 at the then current interest rate of .10 percent per year, how much would the bond be worth in 2027? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. In 2027, instead of cashing the bond in for its then current value, you decide to hold the bond until it doubles in face value in 2037. What annual rate of return will you earn over the last 10 years?

The bond is worth $50.50 in the year 2027

The annual rate of return is 7.07%

Explanation:

The future value of the bond is given by the below formula:

FV=PV*(1+r)^N

where PV  is the present of the bond of $50

r is the rate of return of 0.10 percent=0.001

N is the duration of the bond investment of 10 years

FV=50*(1+0.001 )^10

FV=$50.50

However for the face of the bond to double i.e to $100, the rate of return can be computed thus:

r=(FV/PV)^(1/N)-1

where FV=$100 (double of $50)

FV=$50.50(current value in 2027)

N=10

r=($100/$50.50)^(1/10)-1

r=0.070707543

r=7.07%