Question

Question 6 You just won the grand prize in a national writing contest! As your prize, you will receive $2,000 a month for ten years. If you can earn 7 percent on your money, what is this prize worth to you today? Question 7 Grand Adventure Properties offers a 9.5 percent coupon bond with annual payments. The yield to maturity is 11.2 percent and the maturity date is 11 years from today. What is the market price of this bond if the face value is $1,000? Question 8 Deluxe Company expects to pay a dividend of $2 per share at the end of year 1, $3 per share at the end of year 2, and then be sold for $32 per share at the end of year 2. If the required rate of return on the stock is 15%, what is the current value of the stock? Question 9 Suppose you are a stock analyst at Goldman Sachs. You forecast that Paddy plc will pay dividends of $2.50, $2.75, and $2.25 at the end of each of the next 3 years. It is expected that thereafter the firm will sustain a long-run rate of growth of 4.5%. The appropriate cost of equity for Paddy is 10%. Based on your forecasts, what is the "fair" price for Paddy?

Answer 1

Annuity per month (P)=   2000
interest rate per month (i)= 7%/12 or    0.005833333333
time for Annuity (n)= 10*12=   120
  
Present Value of ordinary annuity formula = (Annuity *(1-(1/(1+i)^n))/i)  
2000*(1-(1/(1+0.0058333333)^120))/0.00583333333  
172252.7083  
So Present worth of prize is   $172,252.71

Note: separate first question is Answered as HOMEWORKLIB policy