1. You are comparing three investments, all of which pay $100 a month and have a
ID: 2659535 • Letter: 1
Question
1. You are comparing three investments, all of which pay $100 a month and have an 8 percent interest rate. One is ordinary annuity, one is an annuity due, and the third investment is a perpetuity. Which one of the following statements is correct given these three investment options?
To be the perpetuity, the payments must occur on the first day of each monthly period. The ordinary annuity would be more valuable than the annuity due if both had a life of 10 years. The present value of the perpetuity has to be higher than the present value of either the ordinary annuity or the annuity due. The future value of all three investments must be equal. The present value of all three investments must be equal.2. You purchase a bond with a coupon rate of 7 percent, semiannual coupons, and a clean price of $1,011. If the next coupon payment is due in four months, what is the invoice price? $1,022.67 $1,029.36 $1,031.00 $1,037.67 $1,044.33
Explanation / Answer
(1) The present value of the perpetuity has to be higher than the present value of either the ordinary annuity or the annuity due.
(2) (2*(30/360)* 0.07*1,000) =11.66667
So 11.66667+1011 = 1022.667
Answer:
$1,022.67
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