Which of the following statements is true?

a. A coupon bond is a debt security with only one payment.

b. The amount invested in financial security is referred to as perpetuity.

c. A coupon bond is a debt security that pays interest forever and never repays principal.

d. The present value of perpetuity varies directly with the annual repayments.

d. The present value of perpetuity varies directly with the annual repayments.

Explanation:

A perpetuity is a security or bond which pays a fixed amount of cash flow at a fixed interval forever. So the amount it pays stays the same and it keeps paying for ever. The formula to find the present value of a perpetuity is

Cash flow of perpetuity/Interest Rate

So if the annual payment is 100 and the interest rate is 5% the present value of the annuity is

100/0.05=2,000

If we keep the interest rate the same at 5% and increase the cash flow by 100 to 200 the new present value of the perpetuity is

200/0.05=4,000

This proves that the present value of a perpetuity varies directly with the annual repayments or cash flow of perpetuity.