Give step-by-step in only 2 step solution with explanation and final answer:

A project has the following forecasted cash flows: Cash flow: The estimated beta is
1
.
5

.
The market return is
1

Question

Give step-by-step in only 2 step solution with explanation and final answer:

A project has the following forecasted cash flows: Cash flow: The estimated beta is 
1
.
5
 
.
 ﻿The market return is 
1
6
%
 ﻿and the risk
-
free rate is 
7
%
 ﻿a
)
 ﻿Estimate the cost of capital for the project? b
)
 ﻿What is the project's present value? c
)
 ﻿What are the certainty
-
equivalent cash flows in each year? d
)
 ﻿What is the ratio of the certainty
-
equivalent cash flows to the expected cash flow in each year? e
)
 ﻿Explain why this ratio declines?

VIPSolutions · Accepted Answer

Let's break down the problem:

### Given:
- Estimated beta ($\beta$) = 1.5
- Market return ($r_m$) = 16% = 0.16
- Risk-free rate ($r_f$) = 7% = 0.07

Assume the project has cash flows (not specified — let's say they are $CF_1, CF_2, \ldots, CF_n$).

---

## a) Step-by-step in only **2 steps** with explanation and final answer

### Step 1: Calculate the Cost of Capital using CAPM
The required return (cost of capital) is:
$$
r = r_f + \beta (r_m - r_f)
$$
$$
r = 0.07 + 1.5 \times (0.16 - 0.07) = 0.07 + 1.5 \times 0.09 = 0.07 + 0.135 = 0.205
$$

### Step 2: Final Answer
**The cost of capital for the project is 20.5%.**

---

For the rest of the questions (b-e), please provide the actual cash flow values for a complete calculation. If you want the step-by-step format for them as well, let me know!

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