Nutty Hospital wishes to advance-refund its existing 15% long-term debt. The present $30,000,000 is not callable until 5 years from today. The payout on the issue over the next 5 years is as presented in table 21-14. At the end of the fifth year the debt ($25,000,000 outstanding balance at that time) may be called with a 10% penalty.
If present interest rates are 10% and the investment rate on the funds to be received from the new issue cannot exceed 10%, what amount must Nutty Hospital borrow today?
Assume that underwriting fees and other issuance costs will be 5% of the issue and that all debt service on the old issue must be met from the proceeds of the refunding issue and related investment income.