The following table gives the balance sheet for Travellers Inn Inc. $($TII$),$ a company that was formed by merging a number of regional motel chains.

Travellers Inn: $($Millions of Dollars$)$

Short$-$term debt consists of bank loans that currently cost $10\%,$ with interest payable quarterly. These loans are used to finance receivables and inventories on a seasonal basis, so bank loans are zero in the off$-$season.

The long$-$term debt consists of $20-$year, semiannual payment mortgage bonds with a coupon rate of $10\%.$ Currently, these bonds provide a yield to investors of rd $=12\%.$ If new bonds were sold, they would have a $12\%$ yield to maturity.

TII's perpetual preferred stock has a $$100$ par value, pays a quarterly dividend of $$1\mathrm{.}50,$ and has a yield to investors of $8\%.$ New perpetual preferred stock would have to provide the same yield to investors, and the company would incur a $5\%$ flotation cost to sell it$.$

The company has $4$ million shares of common stock outstanding. P$0=$ $$20,$ but the stock has recently traded in the price range from $$17$ to $$23.$ D$0=$ $$1$ and EPS$0=$ $$2.$ ROE based on average equity was $28\%$ in the most recent year, but management expects to increase this return on equity to $33\%$; however, security analysts and investors generally are not aware of management's optimism in this regard.

Betas, as reported by security analysts, range from $1\mathrm{.}3$ to $1\mathrm{.}7$; the T$-$bond rate is $8\%$; and RPM is estimated by various brokerage houses to range from $4\mathrm{.}5\%$ to $5\mathrm{.}5\%.$ Some brokerage house analysts report forecasted dividend growth rates in the range of $10\%$ to $15\%$ over the foreseeable future.

TII's financial vice president recently polled some pension fund investment managers who hold TII's securities regarding what minimum rate of return on TII's common would make them willing to buy the common rather than TII bonds, given that the bonds yielded $12\%.$ The responses suggested a risk premium over TII bonds of $4$ to $6$ percentage points.

TII is in the $30\%$ federal$-$plus$-$state tax bracket.

TII's principal investment banker predicts a decline in interest rates, with rd falling to $10\%$ and the T$-$bond rate to $7\%,$ although the bank acknowledges that an increase in the expected inflation rate could lead to an increase rather than a decrease in interest rates.

Assume that you were recently hired by TII as a financial analyst and that your boss, the treasurer, has asked you to estimate the company's WACC under the assumption that no new equity will be issued. Your cost of capital should be appropriate for use in evaluating projects that are in the same risk class as the assets TII now operates.

$1)$ Using the DCF model and the retention growth model for g$,$ what is the required return on stock? Do not round intermediate calculations. Round your answers to two decimal places.

Retention growth model: Required return on stock $=?$

$$Lowest analyst g : Required return on stock$=?$

Highest analyst g: Required return on stock$=?$

$2)$ Using the CAPM approach, what is the required return on stock? Do not round intermediate calculations. Round your answers to two decimal places.

Required return on stock $($beta $=1\mathrm{.}3,$ RPM $=4\mathrm{.}5\%)$:

Required return on stock $($beta $=1\mathrm{.}3,$ RPM $=5\mathrm{.}5\%)$:

Required return on stock $($beta $=1\mathrm{.}7,$ RPM $=4\mathrm{.}5\%)$:

Required return on stock $($beta $=1\mathrm{.}7,$ RPM $=5\mathrm{.}5\%)$:

$3)$ What is Travellers' WACC? Use the required returns on stock from part $1.$ Do not round intermediate calculations. Round your answers to two decimal places.

WACC $($lowest required return on stock$)$:

WACC $($highest required return on stock$)$: