Final answer:
The price of a zero coupon bond with a face value of $100,000 and a 6% continuous annual yield, maturing in 10 years, is approximately $54,881.64.
Step-by-step explanation:
To calculate the price of a zero coupon bond given a continuous annual yield, we use the formula for the present value of a zero coupon bond: PV = FV / e^(r*t), where PV is the present value (price), FV is the face value of the bond, 'e' is the base of the natural logarithm, 'r' is the annual yield rate, and 't' is the time to maturity in years.
For a zero coupon bond with a face value of $100,000 that matures in 10 years with a 6% continuous annual yield, the calculation would look like this:
PV = $100,000 / e^(0.06*10)
PV = $100,000 / e^(0.6)
PV = $100,000 / 1.82211880039
PV = $54,881.64 approximately
Therefore, the price of the zero coupon bond is about $54,881.64.