Plantain Republic needs to raise $200,000 to invest in new equipment. It's planning on issue 20 year

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Question:

Plantain Republic needs to raise $200,000 to invest in new equipment. It's planning on issue 20 year bonds with a par value of $1,000 and a 5% coupon rate. When the bonds were issued the real interest rate was 1.94% and the inflation rate was 2.42%. Given the AA bond rating, the credit spread was 73 basis points. The floatation costs for the bond issue are 3.5%

(i) What was the yield to maturity of the bond when it was issued?

(ii) What was the price of the bond when it was issued?

(iii) What are the proceeds of the bond issue?

(iv)How many bonds does PR need to sell?