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a $1000 face-value bond pays dividends of $110 at the end of each year. if the bond matures in 20 years, what is the approximate bond present worth value at an interest rate of 12% per year, compounded annually?

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Final answer:

To calculate the present worth value of the bond, we need to discount the future cash flows using the interest rate. In this case, the bond pays dividends of $110 at the end of each year and matures in 20 years. The approximate present worth value of the bond is $852.01.

Step-by-step explanation:

To calculate the present worth value of the bond, we need to discount the future cash flows using the interest rate. In this case, the bond pays dividends of $110 at the end of each year and matures in 20 years. The interest rate is 12% per year, compounded annually.

We can use the present value formula to calculate the present worth value:

PV = C/(1+r)^n

Where PV is the present worth value, C is the cash flow, r is the interest rate, and n is the number of periods.

Applying the formula, we get:

PV = 110/(1+0.12)^1 + 110/(1+0.12)^2 + ... + 110/(1+0.12)^20

By evaluating this expression, we find that the approximate present worth value of the bond is $852.01.

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