Question

The Landers Corporation needs to raise $1.00 million of debt on a 25-year issue. If it places the bonds privately, the interest rate will be 11 percent. Thirty thousand dollars in out-of-pocket costs will be incurred. For a public issue, the interest rate will be 10 percent, and the underwriting spread will be 4 percent. There will be $100,000 in out-of-pocket costs. Assume interest on the debt is paid semiannually, and the debt will be outstanding for the full 25-year period, at which time it will be repaid. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.

a. For each plan, compare the net amount of funds initially available—inflow—to the present value of future payments of interest and principal to determine net present value. Assume the stated discount rate is 14 percent annually. Use 7.00 percent semiannually throughout the analysis. (Disregard taxes.) (Assume the $1.00 million needed includes the underwriting costs. Input your present value of future payments answers as negative values. Do not round intermediate calculations and round your answers to 2 decimal places.)
  

Private Placement:

Net Amount to Landers ____________

Present Value of Future Payments ______________

Net Present Value ________________

​Public Issue

Net Amount to Landers ____________

Present Value of Future Payments ______________

Net Present Value ________________

​

Answer 1

	Private Placement
	Net amount to Landers (Debt-out of pocket expenses)	970,000	(1000,000-30,000)
	Present value of future payments
	Interest rate	11%
	Annual interest	110000	(Debt*interest rate)
	Semi annual interest	55000	(annual interest /2)
	Discount rate to be used	7%
	Time period of debt	25	years
	Number of semiannual payment	50	(25*2)
	Present value of Interest	($759,041.05)	=PV(7%,50,55000,0,0)	=PV(RATE,NPER,AMOUNT,0,0)
	Present value of debt payment att maturity	($33,947.76)	=-1000000*(1/1.07)^50
	Present value of future payments	($792,988.81)	-759041.05+(-33947.76)
	Net Present Value	177,011.19	(970000-792988.81)
	Public Issue
	Net amount to Landers
	Debt	1,000,000
	Less:Underwriting Exp	40,000	(1000,000*4%)
	Less:Out of Pocket expenses	100,000
	Net amount to Landers (Debt-out of pocket expenses)	860,000
	Present value of future payments
	Interest rate	10%
	Annual interest	100000	(Debt*interest rate)
	Semi annual interest	50000	(annual interest /2)
	Discount rate to be used	7%
	Time period of debt	25	years
	Number of semiannual payment	50	(25*2)
	Present value of Interest	($690,037.31)	=PV(7%,50,50000,0,0)
	Present value of debt payment att maturity	($33,947.76)	=-1000000*(1/1.07)^50
	Present value of future payments	($723,985.07)	-690037.31+(-33947.76)
	Net Present Value	136,014.93	(860000-723985.07)