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Savatey [412]
3 years ago
15

Modern Federal Bank is setting up a brand-new branch. The cost of the project will be $1.2 million. The branch will create addit

ional cash flows of $235,000, $412,300, $665,000 and $875,000 over the next four years. The firm's cost of capital is 12 percent. What is the internal rate of return on this branch expansion
Business
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

23.12%

Explanation:

Internal rate of return (IRR) is the rate at which the Net present value (NPV) of a project equals to zero.

Using a financial calculator and the CF function, input the following to find IRR;

Initial investment; CF0 = -1,200,000

Yr1 cashflow inflow ; C01 = 235,000

Yr2 cashflow inflow ; C02 = 412,300

Yr3 cashflow inflow ; C03 = 665,000

Yr4 cashflow inflow ; C04 = 875,000

Then key in IRR CPT = 23.119%

Therefore, the Internal rate of return this expansion is 23.12%

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What must be the price of a $10000 bond with a 6.8% coupon rate, semiannual coupons, and eight years to maturity if it has a yie
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Answer:

Coupon (R) = 6.8% x 10,000 = $680

Face value (FV) = $10,000

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Yield to maturity (Kd) = 8% = 0.08

Po = R/2(1- (1 + r/m)-nm) +  FV/ (1+r/m)n m

                      r/m

Po = 680/2(1-(1+0.08/2)-8x2) + 10,000/(1 + 0.08/2 )8x2

                          0.08/2                              

Po = 340(1 - (1 + 0.04)-16)    + 10,000/(1 + 0.04)16

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Po = 340(1-0.5339) + 10,000/1.8730

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Po = 3,961.85 + 5,339.03

Po = $9,300.88

Explanation:

The current market price of a bond is a function of the present value of semi-annual coupon and present value of the face value. The present value of semi-annual coupon is obtained by multiplying the coupon by the present value of annuity factor at 8% for 8 years. The present value of face value is obtained by discounting the face value at the discount factor for 8 years. The addition of the two gives the present value of the bond. All these explanations have been captured by the formula.

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