Loose Leaf for Foundations of Financial Management Format: Loose-leaf
Loose Leaf for Foundations of Financial Management Format: Loose-leaf
17th Edition
ISBN: 9781260464924
Author: BLOCK
Publisher: Mcgraw Hill Publishers
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Chapter 16, Problem 18P

a.

Summary Introduction

To calculate: The discount rate of Robinson Corporation.

Introduction:

Discount Rate:

A rate that is used for the calculation of the present value of the cash flows is termed as the discount rate.

a.

Expert Solution
Check Mark

Answer to Problem 18P

The discount rate of Robinson Corporation is 7.53% and after rounding off to a whole number, the discount rate is 8%.

Explanation of Solution

Computation of the discount rate:

Discount rate=Interest rate×1Tax rate=10.75%×10.30=10.75%×0.70=7.53%

b.

Summary Introduction

To calculate: The PV of total outflows of Robinson Corporation.

Introduction:

Present value (PV):

The current value of an investment or an asset is termed as its present value. It is calculated by discounting the future value of the investment or asset.

b.

Expert Solution
Check Mark

Answer to Problem 18P

The PV of total outflows of Robinson Corporation is $3,171,831.

Explanation of Solution

Computation of PV of total outflows:

Present value of total outflow=After tax cost+Net cost of underwriting expense on new issue=$2,558,500+$613,331=$3,171,831

Working Notes:

Calculation of net cost of underwriting expense on new issue:

Net cost of underwriting expense of new issue=Actual expenditurePresent value of tax savings=1.7%×$43,000,000$117,669=$731,000$117,669=$631,331

Calculation of after-tax cost:

After tax cost=Call premium percentage in 7th Year×Outstanding bonds×1Tax rate=8.5%×$43,000,000×10.30=$2,558,500

The calculation of the tax savings per year is as follows:

Tax savings per year=Underwriting cost×Bonds outstandingTime to maturity×Tax Rate=1.7%×$43,000,00017×30%=$43,000×30%=$12,900

The calculation of current price of bond, that is, PV of future tax savings is shown below.

Loose Leaf for Foundations of Financial Management Format: Loose-leaf, Chapter 16, Problem 18P , additional homework tip  1

The formula used for the calculation of current price of bond, that is, PV of future tax savings is shown below.

Loose Leaf for Foundations of Financial Management Format: Loose-leaf, Chapter 16, Problem 18P , additional homework tip  2

c.

Summary Introduction

To calculate: The PV of total inflows of Robinson Corporation.

Introduction:

Present value:

The current value of an investment or an asset is termed as its present value. It is calculated by discounting the future value of the investment or asset.

c.

Expert Solution
Check Mark

Answer to Problem 18P

The present value of total inflow of Robinson Corporation is $2,847,244.

Explanation of Solution

Calculation of the present value of total inflow:

Present value of total inflow=Present value of savings+Present value of deferred future write off=$2,745,613+$101,631=$2,847,244

Working Notes:

The calculation of the savings per year is as follows:

Savings per year=Interest RateOld BondInterest RateNew Bond×Bonds Outstanding×100%Tax Rate=1134%1034%×$43,000,000×100%30%=11.75%10.75%×$43,000,000×70%=1%×$43,000,000×70%

Savings per year=$430,000×70%=$301,000

The calculation of PV of savings is shown below.

Loose Leaf for Foundations of Financial Management Format: Loose-leaf, Chapter 16, Problem 18P , additional homework tip  3

The formula used for the calculation of PV of savings is shown below.

Loose Leaf for Foundations of Financial Management Format: Loose-leaf, Chapter 16, Problem 18P , additional homework tip  4

Calculation of underwriting cost write off:

Underwriting cost write off=Immediate gain in old underwriting write off×tax rate=$338,770×$0.30=$101,631

Calculation of PV of deferred future write off:

Immediate gain in old underwriting write off=Unamortized old underwriting costPresent value of deferred future write off=$731,000$392,230=$338,770

The calculation of current price of bond is shown below.

Loose Leaf for Foundations of Financial Management Format: Loose-leaf, Chapter 16, Problem 18P , additional homework tip  5

The formula used for the calculation of current price of bond is shown below.

Loose Leaf for Foundations of Financial Management Format: Loose-leaf, Chapter 16, Problem 18P , additional homework tip  6

d.

Summary Introduction

To calculate: The NPV of Robinson Corporation.

Introduction:

Net present value (NPV):

It is the difference between the PV (present value) of cash inflows and cash outflows. It is used in capital budgeting and planning of investment to assess the benefits and losses of any project or investment.

d.

Expert Solution
Check Mark

Answer to Problem 18P

The NPV of Robinson Corporation is ($324,478).

Explanation of Solution

Calculation of NPV:

Net Present Value=Present Value of inflowPresent value of outflow=$2,847,348-$3,171,826=$324,478

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Chapter 16 Solutions

Loose Leaf for Foundations of Financial Management Format: Loose-leaf

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